mayur ph.d thesis.pdf
Transcript of mayur ph.d thesis.pdf
“AN IN-DEPTH STUDY OF ORGANISATION ANDWORKING OF DERIVATIVES WITH REFERENCE TO
INDIAN CAPITAL MARKET”
A thesisSubmitted for the Partial Fulfillment of the
Requirement for the Degree of
Doctor of PhilosophyIN
Management
Submitted toGANPAT UNIVERSITY
Submitted by
SHAH MAYUR DASHARATHLALREGISTRATION NO. MM/02/03/07.
Under the Guidance of
PROF. D. M. PESTONJEEEx-Professor
IIMAhmedabad
February 2011
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PREFACE
Derivatives, today, have become an integral part of the financial system of a country as
well as at international level. They have influenced almost every aspect of capital and
money markets all over the world ranging from investing, raising of funds and managing
the risk.
Due to the globalization and liberalization process initiated by the states all over the
world, the international trade and financial activities have grown in multifold resulting
rising levels of all types of risks for market participants such as market risk, interest rate
risk, foreign exchange risk, inflation risk and price risk. Managing all these risks is
essential and significant to be successful in financial and trading activities. Financial
derivatives like options, futures, forwards and swaps have emerged in the financial
markets to handle and manage such risks. New products and strategies are being
developed at the fast rate in order to cope with changing environment.
Financial markets in India continue to evolve towards growth and efficiency resulting
into a manifold rise in financial activities in depth and width. Market participants,
financial institutions and investors are looking in a different way to play efficiently in the
market. During the mid 1990s, Indian government initiated the process of liberalizing of
the financial market in all sectors specifically opening the market for foreign investment.
As a result, the infrastructure of the financial markets geared to international norms in all
respects. The stock market’s structure and trading in India have gone under a sea change.
Institutionalization of broking activities, modernization, automation of stock exchanges
and entry of foreign institutional investors have opened a multiple options to various
participants in the financial markets.
Options and futures in India commenced from 2000 on National Stock Exchange (NSE)
and Bombay stock exchange (BSE) in stock index futures, stock futures, stock index
options and stock options. It was a welcome step on the part of the government since it
was important in the present environment. This was significant development in the
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history of Indian stock markets. A lot of trading in futures and options segment in Indian
stock market was seen and number of market participants increased phenomenal in a
short period. As a result, awareness about the financial derivative instruments and their
application has increased among the investing people at large. On the other side of this
development was that element of risk and volatility in the stock market has risen.
So the broad objective at the outset was to study derivatives traded in Indian capital
market and acquire understanding about what the investors in India perceive regarding
derivatives. The research present in forthcoming pages aims to capture an understanding
regarding growth and development of capital market in India, major reforms in capital
market, derivatives and their types, features, need for and evolution of derivatives in
India.
The thesis is an endeavor to understand the empirical profile of high net worth individual
investors (HNIs) in Gujarat state and systematically investigate the usage, satisfaction
level, factors considered by investors while investing into derivatives. The research is
intended to assist corporate professional, brokers, policy makers, educationalists,
researchers and all others who would like to understand further about Indian capital
market and derivatives.
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ACKNOWLEDGEMENT
Derivatives is a newer area and the challenging task of conducting research in this area
would have been difficult for me without the support of all those who helped me directly
or indirectly in successfully completing it.
I am indebted to Prof. (Dr.) D. M. Pestonjee for being a supportive guide. He motivated
me to undertake this research work, guided through this process and helped me focus the
study. His skills, as a researcher and guide helped me overcome all the hurdles. Without
his constant support and encouragement I would not have been able to complete the
research work successfully.
I owe a debt of gratitude to Prof. Mahendra Sharma, Dean, FMS, Ganpat University for
his moral support and motivation.
I wish to thank the industry people, who supported me a lot for my primary research. A
special thanks to Mr. Tejas Shah, India Infoline, Ahmedabad; Mr. Jagrut patel, Anagram
Equity, Ahmedabad; Mr. B. V. Shah, Angel Broking., Rajkot; Mr. Satish Shah, Angel
Broking., Surat; Mr. Suresh Patel, Rathi Broking ltd., Baroda.
I am thankful to Dr. Akash Patel, Dr. Narayan Baser, Dr. Parag Sanghani for their
continuous help during my research work. I am thankful to Dr. S. O .Junare, National
Institute of Cooperative Management, Gandhingar for their continuous help during my
research work.
I would also like to thank my friend Mr. Amit A. Patel at V. M. Patel Institute of
Management for providing valuable support to me during the course of research.
I would like to thank all my family members, my father Dashrathlal B. Shah, my mother
Smt. Pushpaben, and my wife Ankita for their love, blessings and moral support through
out my research work. I give my special thanks to my wife without whose sacrifice and
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constant support this thesis would not have seen the light of the day.
Thank you all for being there when I needed someone to talk to and for your keen interest
in my development.
At last, I thank the one and all, for the divine blessings.
Mayur Shah
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DECLARATION BY CANDIDATE
This thesis titled “AN IN-DEPTH STUDY OF ORGANIZATION & WORKING OF
DERIVATIVES WITH REFERENCE TO INDIAN CAPITAL MARKET” is
submitted in fulfillment of the requirements for the award of the degree of Doctor of
Philosophy (Ph.D.) in Management to Ganpat University, Mehsana. I declare that this
thesis is based on my original work except for quotations and citations which have been
duly acknowledged. I also declare that this thesis has not been previously or concurrently
submitted either in whole or in part, for any other qualification to Ganpat University or
other institutions.
Date:
Place: Ganpat University (Shah Mayur D.)
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CERTIFICATE OF GUIDE
This is to certify that this thesis titled “AN IN-DEPTH STUDY OF ORGANIZATION
& WORKING OF DERIVATIVES WITH REFERENCE TO INDIAN CAPITAL
MARKET” submitted by Shah Mayur Dasharathlal, at Faculty of Management Studies,
Ganpat University, Mehsana is the bonafide work completed under my supervision and
guidance for the fulfillment of the requirement for the award of the degree of Doctor of
Philosophy (Ph.D.) in Management.
Date:
Place: Ganpat University (Prof. D. M. Pestonjee)
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CONTENTS
Preface I
Acknowledgement III
Declaration by Candidate V
Certificate of Guide VI
List of Tables XI
List of Figures XII
CHAPTER 1 INTRODUCTION TO THESIS 1
1.1 Background and Justification to the Research 2
1.2 Capital Market of India: Introduction and Overview 4
1.2.1 Financial System in India 4
1.2.2 Financial Intermediaries 5
1.2.3 Financial Instruments 6
1.2.4 Financial Services 7
1.2.5 Financial Market 7
1.2.6 Money Market 8
1.2.7 Capital Market 8
1.2.8 Functions of Capital Market 9
1.2.9 Primary Market 13
1.2.10 Secondary Market 15
1.3 Developments and Major Reforms in Indian Capital Market 22
1.4 Outline of the Thesis 25
CHAPTER 2 DERIVATIVES – INTRODUCTION AND OVERVIEW 27
2.1 An Introduction 28
2.2 History of Derivatives 28
2.3 Need for Derivatives in India 32
2.4 Evolution of Derivatives in India 33
2.5 Major Recommendations of Dr. L. C. Gupta Committee 36
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2.6 Factors Contributing To the Growth of Derivatives 40
2.7 Benefits of Derivatives 43
2.8 Definition of Financial Derivative 44
2.9 Features of Financial Derivative 47
2.10 Types and Classifications of Derivatives 50
2.11 Uses of Derivatives 52
2.12 Critique of Derivatives 53
2.13 Myths about Derivatives 57
2.14 Emerging Structure of Derivatives Markets in India 66
2.15 Categories of Derivatives Traded in India. 67
2.16 Equity Derivatives 68
2.17 Derivative Trading at NSE and BSE 73
2.18 Futures and Options as Derivative Instruments & Its Application. 77
CHAPTER 3 DERIVATIVES –LITERATURE REVIEW 119
3.1 An Introduction 120
3.2 Stabilization Arguments 129
3.3 Destabilization Arguments 130
3.4 Investors’ Perceptions about Derivatives 135
CHAPTER 4 RESEARCH METHODOLOGY 140
4.1 An Introduction 141
4.2 Objective of the Study 141
4.3 Hypothesis of the Study 141
4.4 Scope of the Study 141
4.5 Research Methodology 142
CHAPTER 5 DATA ANALYSIS AND RESEARCH FINDINGS. 146
5.1 Details of the Investors Surveyed 147
5.2 Hypothesis Testing and Analysis of Variance 153
5.2.1 Findings 163
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5.3 Factor Analysis 173
5.3.1 An introduction 173
5.3.2 Factor Analysis Process 174
5.3.3 Conducting Factor analysis for Perceptions of Investors
- A Detailed Explanation 176
5.3.3.1 Findings 185
5.3.4 Conducting Factor analysis on Factors to be considered
while Investing into Derivatives 186
5.3.4.1 Findings 195
5.3.4.2 Linking Factor Analysis Findings with Demographic factor 196
5.4 Cluster Analysis 197
5.4.1 An introduction 197
5.4.2 Cluster Analysis Process 197
5.4.3 Conducting Cluster Analysis for Various Perception on Growth of
Derivatives in India: A Detailed Explanation 199
5.4.3.1 Findings 211
5.4.4 Conducting Cluster Analysis on
Various Perceptions about Derivatives: A Detailed Explanation 213
5.4.4.1 Findings 225
CHAPTER 6 SUMMARY AND CONCLUSIONS 227
6.1 An Introduction 228
6.2 Scope of the Study 228
6.3 Data Collection and Research Methodology 229
6.4 Emergence of Derivatives as an Important Segment in Indian Capital Market 229
6.5 Conclusions related to Test of Differences 230
6.6 Conclusions related to Factor Analysis 233
6.7 Conclusions related to Cluster Analysis 238
6.8 Limitations of the Study 240
6.9 Directions for Further Research 240
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BIBLIOGRAPHY 242
ANNEXURE No. 1 248
ANNEXURE No. 2 258
ANNEXURE No. 3 260
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LIST OF TABLES
Table 1.1: Market Participants in Securities Market 12
Table 1.2: Mobilization of Resource from Primary Market 15
Table 1.3: Turnover on all Exchanges 18
Table 1.4: Stock Market Indicators 21
Table 2.1: Evolution of Derivatives 34
Table 2.2: Business Growth in Derivatives segment 68
Table 2.3: Buy Calls and Sell Puts 108
Table 2.4: Sell calls and Buy Puts 111
Table 2.5: Bull Spread 114
Table 2.6: Bear Spread 117
Table 5.1: City wise details 148
Table 5.2: Age wise details 148
Table 5.3: Gender wise details 149
Table 5.4: Marital Status 149
Table 5.5: Occupation wise details 149
Table 5.6: Income profile 149
Table 5.7: Occupation 150
Table 5.8: Proportion of Investment into Derivatives 150
Table 5.9: Percentage of Income available for derivative 151
Table 5.10: Purpose of investment 151
Table 5.11: Types of contracts 151
Table 5.12: Education profile of investors 152
Table 5.13: Contract period of trading 152
Table 5.14 Descriptives related to On-way ANOVA 154
Table 5.15 F test and Significance values in One-Way ANOVA 159
Table 5.16: Case Processing Summary and Reliability Statistics 177
Table 5.17: KMO and Bartlett's Test 177
Table 5.18: Communalities 180
Table 5.19: Total Variance Explained 182
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Table 5.20: Rotated Component Matrix(a) 183
Table 5.21: Final Rotated Component Matrix with variable name 184
Table 5.22 Reliability Statistics 186
Table 5.23: KMO and Bartlett's Test 187
Table 5.24: Communalities – Principal Component Method 189
Table 5.25: Total Variance Explained and Eigenvalues 191
Table 5.26: Rotated Component Matrix 192
Table 5.27: Final rotated matrix with variable name 194
Table 5.28: Agglomeration Schedule 200
Table 5.29: Initial Cluster Centers 205
Table 5.30: Final Cluster Centers 206
Table 5.31 Number of Cases in each Cluster 206
Table 5.32: Cluster Membership 206
Table 5.33: Agglomeration Schedule – Ward’s Procedure 213
Table 5.34: Initial Cluster Centers – Non Hierarchical Method 218
Table 5.35: Final Cluster Centers - Non Hierarchical Method 219
Table 5.36: Number of Cases in each Cluster 220
Table 5.37: Cluster Membership- Non Hierarchical Method 220
Table 6.1: List of Hypothesis 228
LIST OF FIGURES
Figure 2.1: Types of Derivatives 51
Figure 2.2: Types of Derivatives 51
Figure 2.3: Payoff for buyer of futures 86
Figure 2.4: Payoff for seller of futures 87
Figure 2.5: Variation of basis over time 91
Figure 2.6: Payoff for investor who went Long Nifty at 2220 99
Figure 2.7: Payoff for buyer of call option 100
Figure 2.8: Payoff profile for writer of call options: Short call 101
Figure 2.9: Payoff for buyer of put option 102
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Figure 2.10: Payoff for writer of put option 103
Figure 2.11: Payoff for writer of put options at various strikes 109
Figure 2.12: Payoff for seller of call option at various strikes 112
Figure 2.13: Payoff for buyer of put options at various strikes 113
Figure 2.14: Payoff for a bull spread created using call options 114
Figure 2.15: Payoff for a bear spread created using call options 117
Figure 5.1: ANOVA Process 153
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CHAPTER – 1
INTRODUCTION TO THE THESIS
1.1 Background and Justification to the Research
1.2 Capital Market of India: Introduction and Overview
1.2.1 Financial System in India
1.2.2 Financial Intermediaries
1.2.3 Financial Instruments
1.2.4 Financial Services
1.2.5 Financial Market
1.2.6 Money Market
1.2.7 Capital Market
1.2.8 Functions of Capital Market
1.2.9 Primary Market
1.2.10 Secondary Market
1.3 Developments and Major Reforms in Indian Capital Market
1.4 Outline of the Thesis
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1.1 BACKGROUND AND JUSTIFICATION TO THE RESEARCH
Starting from a controlled economy, India has moved towards a world where prices
fluctuate every day. The introduction of risk management instruments in India gained
momentum in the last few years due to liberalisation process and Reserve Bank of India’s
(RBI) efforts in creating currency forward market. Derivatives are an integral part of
liberalisation process to manage risk. NSE gauging the market requirements initiated the
process of setting up derivative markets in India. In July 1999, derivatives trading
commenced in India1
In practice, some foreign investors also invest in Indian markets by issuing Participatory
Notes to an off-shore investor. Among exchange-traded derivative markets in Asia, India
was ranked second behind S. Korea for the first quarter of 2005. How about China, with
who India is frequently compared in other respects? China is preparing to develop its
derivatives markets rapidly. It has recently entered into joint ventures with the leading
U.S. futures exchanges. It has taken steps to loosen currency controls, and the Central
Bank has allowed domestic and foreign banks to trade yuan forward and swaps contracts
on behalf of clients. However, unlike India, China has not fully implemented necessary
reforms of its stock markets, which is likely to hamper growth of its derivatives markets.
Indian market has equalled or exceeded many other regional markets. While the growth is
being spearheaded mainly by retail investors, private sector institutions and large
corporations, smaller companies and state-owned institutions are gradually getting into
the act. Foreign brokers such as JP Morgan Chase are boosting their presence in India in
reaction to the growth in derivatives. The variety of derivatives instruments available for
trading is also expanding.
There remain major areas of concern for Indian derivatives users. Large gaps exist in the
range of derivatives products that are traded actively. In equity derivatives, NSE figures
show that almost 90% of activity is due to stock futures or index futures, whereas trading
in options is limited to a few stocks, partly because they are settled in cash and not the
1 Susan, Thomas (ed), Derivative Markets in India, (New Delhi, Tata McGraw-Hill 2003), p. 15
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underlying stocks. Exchange-traded derivatives based on interest rates and currencies are
virtually absent.
The past decade has witnessed the multifold growth in the volume of international trade
and business due to the wave of globalization and liberalization all over the world. As a
result, the demand for the international money and financial instruments increased
significantly at the global level. In this respect, changes in the interest rates, exchange
rates, and stock market prices at the different financial markets have increased the
financial risks to the corporate world. Adverse changes have even threatened very
survival of the business world. It is, therefore, to manage such risks, the new financial
instruments have been developed in the financial markets, which are also popularly
known as financial derivatives.
As Indian derivatives markets grow more sophisticated, greater investor awareness will
become essential. NSE has programmes to inform and educate brokers, dealers, traders,
and market personnel. In addition, institutions will need to devote more resources to
develop the business processes and technology necessary for derivatives trading.
A numbers of theoretical and empirical studies have been done on the impact of the
introduction of derivatives in the stock markets on the stock return volatility. The studies
are concerned with both the developed as well as developing countries. There are two
sets of views according to the theoretical as well as empirical findings. One is of the view
that introduction of derivatives has increased the volatility and market performance,
through forwarding its speculative roles and the other view is that the introduction of
derivatives has reduced the volatility in the stock market thus increasing the stability of
the stock market.
There is lot of things remain unexplored in India so far as derivatives are concerned, this
research thesis focuses more on investor’s perceptions about derivatives in India. This
research can be justified due to its theoretical and practical contributions to the body of
knowledge. The present research makes a significant contribution in terms of
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understanding derivatives and perceptions of investors regarding derivatives across major
cities of Gujarat.
The value of this study will be justified by the empirical research that will attempt to
make an important contribution to the body of knowledge and the literature in the area of
derivatives and perceptions of investors with regard to satisfaction level, its features,
uses, benefits, limitations, factors affecting to derivatives etc.
Most of the previous studies have limited their investigations to impact of derivatives on
cash market. This study is conducted in India capturing the experience of investors and
their perceptions since the introduction of derivatives in India till date. This research
employs the study of hypothesis using ANOVA testing, Factor Analysis, Cluster analysis
to understand the investors’ perceptions in better way. Few studies have tried to to
employ the same.
The results and insights obtained concerning the investors views regarding derivatives
will be used to infer conclusions which will make significant contributions to the existing
body of literature.
1.2 CAPITAL MARKET OF INDIA: INTRODUCTION AND OVERVIEW
1.2.1 Financial System in India:
Capital is one of the important factors of production in any economy. In economy, a well
organized financial system provides adequate capital formation through savings, finance
and investments2. An investment depends upon Savings and in turn Savings depends
upon earnings of an individual or profits of the organization. This system may be viewed
as a set of sub-systems with so many elements which are interdependent and interlinking
with each other to produce the purposeful result with in the boundary. Hence, the term
2 L. M. Bhole, Financial Institutions and Markets: Structure, Growth and Innovation. (New Delhi, Tata McGraw-Hill, 2007) pp. 6-14.
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system in the context of finance means a set of complex and closely connected financial
institutions, instruments, agents, markets and so on which are interdependent and
interlinking with each other to produce the economic growth with in the country. Transfer
process is effectively fulfilled by the financial system to facilitate economic growth
through the channel of finance.
In the recent past the Indian Financial System has undergone sea changes and
invented many new channels of financial sub-systems through the process of
financial reforms. This thesis is based on this ‘recent past’ which will be dealt
thoroughly later in coming chapters on “derivatives”. Let’s have a brief look at the
Indian financial system and its components to have background knowledge first.
Indian financial system can be broadly grouped into main pillars like (1) financial market
(2) financial intermediaries (3) financial instruments (4) financial services.
1.2.2 Financial Intermediaries:
Financial Intermediaries also termed as Financial Institutions. We can classify the
financial intermediaries into two groups one is organized financial intermediaries and
other one is unorganized financial intermediaries. Organized financial intermediaries
comes under the purview of regulating authorities namely Reserve Bank of India,
Securities Exchange Board of India, Companies Act, Securities Contract (Regulation)
Act and so on. Whereas unorganized financial institutions are not cover under the
purview of these regulating authorities, such type of institutions are called local money
lenders, pawn brokers etc. Our study is mainly focusing on formal or organized financial
intermediaries only3.
Organised financial intermediaries can be classified as Banking Institutions, Non
Banking Financial Institutions, Insurance Companies and Housing Finance Companies.
3 Ajit Singh, ‘Financial Liberalization, Stock Markets and Economic Development.’ The Economic
Journal, vol. 107 (May 1997), pp. 607-12.
6
These financial intermediaries plays vital role in the capital formation by means of
mobilizing savings and facilitating the allocation of funds in an effective manner. These
intermediaries provide the convenience to the small investors by mobilizing their savings
in the form of divisibility and distribute the claims at the time of maturity or redemption.
1.2.3 Financial instruments:
Financial instruments can be categorized into various parts namely equity shares,
preference shares, debt instruments and various combinations of these, time deposits,
Mutual Funds and insurance polices, futures, options etc.
A financial asset/Instrument/security is a claim against another economic unit and is held
as a store of value and for the return that is expected4. While the value of a
tangible/physical asset depends on its physical properties such as buildings, machines,
furniture's, vehicles and so on, a financial asset represents a claim to future cash flows in
the form of interest, dividends and so on. They are a claim on a stream of income and/or
particular assets.. The entity/economic unit that offer the future cash flows are the issuer
of the financial instrument’ and the owner of the security is the investor’.
Depending upon the nature of claim/return, an instrument may be (i) debt (security) such
as bonds, debentures, term loans, (ii) equity (security) shares and (iii) hybrid security
such as preference shares and convertibles.
Based on the type of issuer, the security may be (1) direct (2) indirect and (3) derivative.
The securities issued by manufacturing companies are direct assets (e.g.
shares/debentures). Indirect assets are claims against financial intermediaries (e.g. units
of mutual funds). The derivative instruments include options and futures. The prevalence
of a variety of securities to suit the investment requirements of heterogeneous investors
offers differentiated investment choice to them and is an important element in the
maturity and sophistication of the financial system. 4 Bimal, Jalan,, ‘Finance and Development’, RBI bulletin, (June 2000), pp. 29-45
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1.2.4 Financial Services:
Financial services have been growing rapidly with the emergence of new investment
flows in financial reconstitute a large and growing sector in almost all economies. Trade
and investment flows in financial services have been growing rapidly with the emergence
of new and growing markets in developing and transition economies, with modernization,
rapid technological change, use of new financial instruments, and financial and trade
liberalization5. The financial services sector is also quite large and complex and covers a
wide range of activities and instruments, including for instance, corporate banking,
derivatives, factoring, foreign exchange trading, pensions and investment fund
management, advisory and consultancy services, insurance broking and underwriting,
project finance, securities trading, venture capital, and wholesale and retail banking
services. Given the range of instruments and activities that fall under the purview of the
financial services sector, there are also a large number of players.
1.2.5 Financial Market:
The Indian Financial Market promotes the enormous savings of the economy, by
providing an effective channel of returns to the investors from whom the savings are
mobilized. Hence, the term Financial Markets can be defined as a market for the
exchange of capital and credit including the money markets and the capital markets.
Financial Markets are facilitating tools for procurement of funds and invest in to various
assets.
The main activities of Financial Markets can be viewed as sale or purchase of shares or
stocks, bonds, bills of exchange, commodities, future and options, foreign currency etc.
Financial market can be broadly classified into (i) Money market (ii) Capital market.
5 Bharati, Pathak, Indian Financial Systems, (Delhi, Pearson Education, 2006), pp. 4-5.
8
1.2.6 Money Market
The Money Market refers to the market for short term debt instrument which has maturity
less than one year. The Money Market provides the borrower to borrow the funds for
shorter period with lowest cost of funds. At the same time it also facilitates to the investor
a platform to invest his savings which can generate interest thereon. Money Markets does
not have an organised trading market place such as the stock exchange for its primary
issue and secondary market trades. The participants in the money market are banks,
primary dealers, and financial institutions, mutual funds, non-bank financial companies,
manufacturing companies, State Governments, provident funds, non-resident Indians,
overseas corporate bodies, foreign institutional investors and trusts. The RBI and
Securities and Exchange Board of India (SEBI) regulate the participants and use of
instruments in the money market depending upon their respective roles in the financial
system6. For instance, financial institutions and mutual funds are allowed only as lenders
in the call money market but are permitted to buy and sell Commercial Paper.
1.2.7 Capital Market:
Capital Market is the market for long term finance with the maturity period more than
one year. The Capital Market deals with the stock markets which provide financing
through the issuance of shares or common stock in the primary market, and enable the
subsequent trading in the secondary market. Capital Markets also deals with Bond
Market which provide financing through issuance of Bonds in the primary market and
subsequent trading thereof in the secondary market7.
6Bharati, Pathak, Indian Financial Systems, (Delhi, Pearson Education, 2008), pp. 42-45. 7 Bharti, Pathak,, Indian Financial Systems, (Delhi, Pearson Education, 2008), pp. 102-105.
9
1.2.8 Functions of Capital Markets8:
1) The organised and regulated capital market motivates individual to save and
invest funds. The availability of safe and profitable source of investment is an
essential criterion to create propensity to save and invest on the part of the earning
public.
2) It provides for the investors a safe and productive channels for investment of
savings and secure the recurring benefit of return thereon, as long as the savings
are retained.
3) It provides liquidity to the savings of the investors, by developing a secondary
capital market, and thus makes even short term savings, consistently available for
long-term users
4) It thus mobilizes savings of large number of individuals, families and associations
and make the same available for meeting the large capital needs of organised
industry, trade and business and for progress and development of the country as a
whole and its economy.
Financial markets are also classified as primary and secondary markets. The primary
market deals in fresh capital / new securities therefore they are known as new issue
Markets. Secondary markets deal in securities already issued or existing or outstanding.
The primary markets mobilize savings and they supply fresh capital to business units.
While secondary market helps in raising additional capital by providing liquidity to
existing capital.
The term capital market is coexistence not only with the stock market but also with the
money market. However, in its popular usage, it refers to the stock market. It is not
always possible to include a given participant (say a bank) only in either of the two
(money and capital) markets.
8 B. M. Misra, ‘Fifty Years of The Indian Capital Market’ RBI occasional papers, (June and September 1999), p.8.
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In the ensuing pages, research is mainly concerned with capital market in its popular
sense focusing upon organisation and working of its emerging derivative segment.
Let’s have a look at it.
Organization of securities market
The term ‘securities market’ refers to the market provided by the different stock
exchanges to securities which includes corporate securities such as shares, stocks,
debentures, bonds, government securities such as dated securities and Treasury bill and
right, titles or interest in such securities which includes derivatives in securities such as
options and futures contract9.
Size and design of securities market
Transfer of resources from those with idle resources to others who have a productive
need for them is perhaps most efficiently achieved through the securities markets. Stated
formally, securities markets provide channels for reallocation of savings to investments
and entrepreneurship and thereby decouple these two activities. As a result, the savers
and investors are not constrained by their individual abilities, but by the economy’s
abilities to invest and save respectively, which inevitably enhances savings and
investment in the economy. Savings are linked to investments by a variety of
intermediaries through a range of complex financial products called “securities” which is
defined in the Securities Contracts (Regulation) Act, 1956 to include:
(1) Shares, scrips, stocks, bonds, debentures, debenture stock or other marketable
securities of a like nature in or of any incorporated company or body corporate;
(a) Derivatives;
(b) Units of any other instrument issued by any collective investment scheme to
the investors in such schemes;
(c) Security receipt as defined in clause (zg) of section 2 of the Securitisation and
Reconstruction of Financial Assets and Enforcement of Security Interest Act,
2002;
9 National Stock Exchange, Indian Securities Market: A Review, volume IV, 2005
11
(d) Units or any other such instrument issued to the investors under any mutual
fund scheme;
(e) any certificate or instrument (by whatever name called), issued to an investor
by any issuer being a special purpose distinct entity which possesses any debt or
receivable, including mortgage debt, assigned to such entity, and acknowledging
beneficial interest of such investor in such debt or receivable, including mortgage
debt, as the case may be;
(2) Government securities,
(a) Such other instruments as may be declared by the Central Government to be
securities; and
(3) Rights or interest in securities.
There are a set of economic units who demand securities in lieu of funds and others who
supply securities for funds. These demand for and supply of securities and funds
determine, under competitive market conditions in both goods and securities market, the
prices of securities which reflect the present value of future prospects of the issuer,
adjusted for risks and also prices of funds10. It is not that the users and suppliers of funds
meet each other and exchange funds for securities. It is difficult to accomplish such
double coincidence of wants. The amount of funds supplied by the supplier may not be
the amount needed by the user. Similarly, the risk, liquidity and maturity characteristics
of the securities issued by the issuer may not match preference of the supplier. In such
cases, they incur substantial search costs to find each other. Search costs are minimized
by the intermediaries who match and bring the suppliers and users of funds together.
These intermediaries may act as agents to match the needs of users and suppliers of funds
for a commission, help suppliers and users in creation and sale of securities for a fee or
buy the securities issued by users and in turn, sell their own securities to suppliers to
book profit. It is, thus, a misnomer that securities market disintermediates by establishing
a direct relationship between the savers and the users of funds. The market does not work
in a vacuum; it requires services of a large variety of intermediaries. The
10 Ajay , Shah, ‘Securities Markets Towards Greater Efficiency,’ in K. S. Parikh (ed.) India Development Report, (Delhi, Oxford University Press, 1997 )
12
disintermediation in the securities market is in fact an intermediation with a difference; it
is a risk-less intermediation, where the ultimate risks are borne by the savers and not the
intermediaries. A large variety and number of intermediaries provide intermediation
services in the Indian securities market as may be seen from Table
The securities market, thus, has essentially three categories of participants, namely the
issuers of securities, investors in securities and the intermediaries. The issuers and
investors are the consumers of services rendered by the intermediaries while the investors
are consumers (they subscribe for and trade in securities) of securities issued by issuers.
In pursuit of providing a product to meet the needs of each investor and issuer, the
intermediaries churn out more and more complicated products. They educate and guide
them in their dealings and bring them together. Those who receive funds in exchange for
securities and those who receive securities in exchange for funds often need the
reassurance that it is safe to do so. This reassurance is provided by the law and by
custom, often enforced by the regulator. The regulator develops fair market practices and
regulates the conduct of issuers of securities and the intermediaries so as to protect the
interests of suppliers of funds. The regulator ensures a high standard of service from
intermediaries and supply of quality securities and non- manipulated demand for them in
the market11.
Table 1.1 : Market Participants in Securities Market
Market Participants
Number as on March
31
2007 2008
Securities Appellate Tribunal 1 1
Regulators* 4 4
Depositories 2 2
Stock Exchanges
With Equities Trading 21 19
With Debt Market Segment 2 2
With Derivative Trading 2 2
11 Ajay, Shah, and Susan Thomas, ‘Policy Issues In India’s Capital Markets In 2000AD,’ in Surjit S. Bhalla (ed.), New Economic Policies – For a new India, Indian Council of Social Science Research, (Haranand Publication Pvt. Ltd., 2000), pp. 185-210.
13
Brokers 9,443 9,487
Corporate Brokers 4,110 4,183
Sub-brokers 27,541 44,073
FIIs 996 1,319
Portfolio Managers 158 205
Custodians 15 15
Primary Dealers 17 16
Merchant Bankers 152 155
Bankers to an Issue 47 50
Debenture Trustees 30 28
Underwriters 45 35
Venture Capital Funds 90 106
Foreign Venture Capital Investors 78 97
Mutual Funds 40 40
Collective Investment Schemes 0 0
(Source: SEBI Handbook)
The securities / capital market has two interdependent and inseparable segments: the
primary and the secondary market.
1.2.9 Primary Market
The primary market provides the channel for sale of new securities. Primary market
provides opportunity to issuers of securities; Government as well as corporates, to raise
resources to meet their requirements of investment and/or discharge some obligation.
They may issue the securities at face value, or at a discount/premium and these securities
may take a variety of forms such as equity, debt etc. They may issue the securities in
domestic market and/or international market. The primary market issuance is done either
through public issues or private placement. A public issue does not limit any entity in
investing while in private placement, the issuance is done to select people. In terms of the
Companies Act, 1956, an issue becomes public if it results in allotment to more than 50
persons. This means an issue resulting in allotment to less than 50 persons is private
placement. There are two major types of issuers who issue securities. The corporate
14
entities issue mainly debt and equity instruments (shares, debentures, etc.), while the
governments (central and state governments) issue debt securities (dated securities,
treasury bills). The price signals, which subsume all information about the issuer and his
business including associated risk, generated in the secondary market, help the primary
market in allocation of funds12.
13Resources rose through public issues declined by 91.5 per cent to Rs. 2,031 crore
during April-June 2008 over those in the corresponding period of last year. The number
of issues declined from 24 in April-June 2007 to 15 in April-June 2008. The average size
of public issues also declined to Rs.135 crore during April-June 2008 from Rs.994 crore
during April-June 2007. All public issues during April-June 2008 were in the form of
equity. Out of 15 issues during April-June 2008, 13 issues were initial public offerings
(IPOs), accounting for 78.4 per cent of total resource mobilisation. Mobilisation of
resources through private placement increased by 45.7 per cent to Rs.2,12,568 crore
during 2007-08 over the previous year. Resources mobilised by private sector entities
increased by 58.3 per cent during 2007-08, while those by public sector entities increased
by 29.7 per cent. Financial intermediaries (both from public sector and private sector)
accounted for the bulk (67.9 per cent) of the total resource mobilization from the private
placement market during 2007-08 (68.9 per cent during 2006-07). Resources raised
through Euro issues – American Depository Receipts (ADRs) and Global Depository
Receipts (GDRs) – by Indian corporate during April-June 2008 at Rs.4,056 crore were
substantially higher than those during the corresponding period of previous year. During
April-June 2008, net mobilisation of resources by mutual funds declined by 25.3 per cent
to Rs.38,437 crore over the corresponding period of 2007 (Table 49). Scheme-wise,
during April-June 2008, 90.0 per cent of net mobilisation of funds was under income/debt
oriented schemes. Growth-oriented schemes accounted for 7.9 per cent of net resource
mobilisation during April-June 2008.
12 L. M. Bhole, Financial Institutions and Markets: Structure, Growth, and Innovation, (New Delhi, Tata McGraw-Hill, 2006) 13 SEBI, Hand Book of Statistics on Indian Securities Market 2008, pp. 67-68.
15
(Source: SEBI Handbook)
1.2.10 Secondary Market
Secondary market refers to a market where securities are traded after being initially
offered to the public in the primary market and/or listed on the Stock Exchange. Majority
of the trading is done in the secondary market. Secondary market comprises of equity
markets and the debt markets. The secondary market enables participants who hold
securities to adjust their holdings in response to changes in their assessment of risk and
return. They also sell securities for cash to meet their liquidity needs. Once the new
securities are issued in the primary market they are traded in the stock (secondary)
Table 1.2: Mobilization of Resource from Primary Market
16
market. The backbone of the capital market is formed by the various securities exchanges
that provide a forum for equity (equity market) and debt (debt market) transactions14.
The secondary market is operated through two mediums, namely, the Over-the Counter
(OTC) market and the Exchange- Traded market. OTC markets are informal markets
where trades are negotiated. Most of the trades in the government securities are in the
OTC market. All the spot trades where securities are traded for immediate delivery and
payment take place in the OTC market. The exchanges do not provide facility for spot
trades in a strict sense. Closest to spot market is the cash market in exchanges where
settlement takes place after some time. There are 19 exchanges (at the end of March
2008) in India and all of them follow a systematic settlement period. All the trades taking
place over a trading cycle (day=T) are settled together after a certain time (T+2 day).
Trades executed on NSE and BSE only are cleared and settled by a clearing corporation
which provides novation and settlement guarantee. Nearly 100% of the trades in market
are settled through demat delivery. For example, NSE also provides a formal trading
platform for trading of a wide range of debt securities including government securities in
both retail and wholesale mode. NSE also provides trading in derivatives of equities,
interest rate as well indices.
A variant of secondary market is the forward market, where securities are traded for
future delivery and payment. Pure forward is out side the formal market. The versions of
forward in formal market are futures and options. In futures market, standardized
securities are traded for future delivery and settlement. These futures can be on a basket
of securities like an index or an individual security. In case of options, securities are
traded for conditional future delivery. There are two types of options–a put option
permits the owner to sell a security to the writer of options at a predetermined price while
a call option permits the owner to purchase a security from the writer of the option at a
predetermined price. These options can also be on individual stocks or basket of stocks
14 Bharti, Pathak,, Indian Financial Systems, (Delhi, Pearson Education, 2008 ), pp. 164-170..
17
like index. Two exchanges, namely NSE and the Bombay Stock Exchange, (BSE)
provide trading of derivatives of securities.
Today the market participants have the flexibility of choosing from a basket of products
like: Equities, Bonds issued by both Government and Companies, Futures on benchmark
indices as well as stocks, Options on benchmark indices as well as stocks, Futures on
interest rate products like Notional 91-day T-Bills, 10 year notional zero coupon bond
and 6% notional 10 year bond.
The stock exchanges are the exclusive centers for trading of securities. Listing of
companies on a Stock Exchange is mandatory to provide an opportunity to investors to
invest in the securities of local companies. The trading volumes on exchanges have been
witnessing phenomenal growth for last few years. Since the advent of screen based
trading system in 1994-95, it has been growing by leaps and bounds and reported a total
turnover of Rs.51, 30,816 crore during 2007-0815. The growth of turnover has, however,
not been uniform across exchanges. The increase in turnover took place mostly at big
exchanges (NSE and BSE) and it was partly at the cost of small exchanges that failed to
keep pace with the changes. The business moved away from small exchanges to big
exchanges, which adopted technologically superior trading and settlement systems. The
huge liquidity and order depth of big exchanges further diverted liquidity of other stock
exchanges. The 19 small exchanges put together reported less than 0.02% of total
turnover during 2007-08, while 2 big exchanges accounted for over 99.98 % of turnover.
For most of the exchanges, the raison d’être for their existence, i.e. turnover, has
disappeared. NSE and BSE are the major exchanges having nationwide operations. NSE
operated through 2,956 VSATs in 245 cities at the end of March 2008. .
15 SEBI Annual Report 2007-08, Various issues.
18
Table 1.3: Turnover on all Exchanges
(In Rs. crore)
Exchange 2006-07 2007-08
NSE 19,45,287 35,51,038
BSE 9,56,185 15,78,857
Uttar Pradesh 799 475
Ahmedabad 0 0
Calcutta 694 446
Madras 1 0
OTCEI 0 0
Delhi 0 0
Hyderabad 92 0
Bangalore 0 0
Magadh 0 0
Bhubaneshwar 1 0
Cochin 0 0
Coimbatore 0 0
Gauhati 0 0
Jaipur 0 0
Ludhiana 0 0
Madhya Pradesh 0 0
Mangalore 0 0
Pune 0 0
SKSE 0 0
Vadodara 0 0
Total 29,03,058 5,130,816
NSE+BSE 29,01,472 5,129,895
Total (Except
NSE + BSE) 1,586 921
(Source: SEBI Handbook)
19
The past decade in many ways has been remarkable for securities market in India. It has
grown exponentially as measured in terms of amount raised from the market, number of
stock exchanges and other intermediaries, the number of listed stocks, market
capitalisation, trading volumes and turnover on stock exchanges, and investor population.
Along with this growth, the profiles of the investors, issuers and intermediaries have
changed significantly. The market has witnessed several institutional changes resulting in
drastic reduction in transaction costs and significant improvements in efficiency,
transparency, liquidity and safety. In a short span of time, Indian derivatives market has
got a place in list of top global exchanges. The market capitalization has grown over the
period indicating more companies using the trading platform of the stock exchange. As of
March 2008, the market capitalization of NSE was Rs. 48,581,217 million16. The market
capitalization ratio is defined as market capitalization of stocks divided by GDP. It is
used as a measure of stock market size. It is of economic significance since market is
positively correlated with the ability to mobilize capital and diversify risk. The trading
volumes on exchanges have been witnessing phenomenal growth over the past few years.
During 2007-08, the capital market segment of NSE itself only reported a trading volume
of Rs. 35,510,382 million.
The turnover ratio, which reflects the volume of trading in relation to the size of the
market, stood at 73.09% in the year 2007-08. The turnover ratio is defined as the total
value of shares traded on a country’s stock exchange divided by market capitalization. It
is used as a measure of trading activity or liquidity in the stock markets. The top 2 stock
exchanges accounted for nearly 99% of turnover, while the rest of the exchanges had
negligible volumes during 2007-08. The movement of the NIFTY50, the most widely
used indicator of the market, has been responding to changes in the government’s
economic policies, the increase in FIIs inflows, etc.
Domestic stock markets, which remained generally firm up to first week of January 2008,
witnessed severe bouts of volatility thereafter due to heightened concerns over the
severity of sub-prime lending crisis in the US and its spillover to other market segments
16 Capital Market, 3-16 May 2008
20
and in other countries. The domestic stock markets recovered somewhat during April-
May 2008. On May 21, 2008, the BSE Sensex registered gains of 10.2 per cent over end-
March 2008. The upward trend was attributed to better than expected fourth quarter
results of 2007-08 declared by IT majors, net purchases by FIIs in the Indian equity
market, and some easing of international crude oil prices. The market sentiment,
however, turned cautious thereafter mainly on account of hike in domestic retail fuel
prices, rise in domestic inflation rate, net sales by FIIs in the Indian equity market,
concerns over rising trade deficit and depreciation of the rupee, downward trend in major
international equity markets, increase in international crude oil prices and other sector
and stock specific news. As a result, both the BSE Sensex and the S&P CNX Nifty closed
lower at 14942.28 and 4476.80, respectively, on July 23, 2008, registering losses of 4.5
per cent and 5.4 per cent, respectively, over their end-March 2008 level. Between end-
March 2008 to July 23, 2008, the BSE Sensex moved in a range of 12576-17600.
According to the data released by the Securities and Exchange Board of India (SEBI),
FIIs made net sales of Rs.16,279 crore (US $ 4.0 billion) in the Indian equity market
during 2008-09 so far (up to July 17, 2008) as against net purchases of Rs.30,777 crore
(US $ 7.4 billion) during the corresponding period of the previous year17. Mutual funds,
on the other hand, made net purchases of Rs.3,654 crore during 2008-09 so far (up to July
17, 2008) as compared with net purchases of Rs.2,604 crore during the corresponding
period of last year. The sectoral indices witnessed a mixed trend during the current
financial year so far (up to July 18, 2008). The losers among the sectoral indices were
capital goods, auto, banking, public sector undertakings, metal, fast moving consumer
goods, consumer durables and oil and gas, while the gainers were information technology
and healthcare sector stocks. NSE in the cash segment during April-June 2008 was higher
by 38.2 per cent than the corresponding period of 2007.
17 SEBI, Hand Book of Statistics on Indian Securities Market 2008.
21
Reforms in the securities market, particularly the establishment and empowerment of
SEBI, market determined allocation of resources, screen based nation-wide trading,
dematerialization and electronic transfer of securities, rolling settlement and ban on
deferral products, sophisticated risk management and derivatives trading, have greatly
improved the regulatory framework and efficiency of trading and settlement. Indian
market is now comparable to many developed markets in terms of a number of qualitative
parameters.
Let’s have a look at each major developments and reforms taken place for the last 20
years briefly.
Table 1.4: STOCK MARKET INDICATORS
Source: BSE and NSE Fact book published. (Based on Sensex 30 scrips and nifty 50 scrips)
22
1.3 DEVELOPMENTS & MAJOR REFORMS IN INDIAN CAPITAL MARKET.
Indian Capital Markets have grown exponentially in the last few years. The growth has
been in every sphere, in the amount of capital raised through primary issuances, in
exchange trading turnovers, in the market indices and market capitalization, in mutual
fund assets and foreign institutional investment. Corporate earnings are growing at
healthy pace and the markets are a reflection of the health of the Indian economy.
However none of this would have been possible if the Indian markets had not developed
a world class market and regulatory infrastructure. The efforts of the last decade in
developing an efficient market infrastructure have created a market that has made
transactions transparent and settlements safer. The new derivative market has provided a
transparent avenue for managing risk to a wide variety of investors. SEBI’s objective has
been to encourage the development of the market while protecting the interests of
investors. The task is however only partly done. Rapidly expanding markets require the
industry and regulators to continually shore up their skills and resources. On the other
side, the retail Indian investor is still not aware or confident of investing opportunities in
the markets. There is a need to improve the quality of investment advice being provided
to investors and to regulate those who interface with the retail investor. Further new
products and markets need to be developed.
The opening up of Indian economy in the 1990's led to a series of financial sector
reforms, prominent being the capital market reforms. These reforms have led to the
development of the Indian equity markets to the standards of the major global equity
markets. All this started with the abolition of Controller of Capital Issues and subsequent
free pricing of shares. The introduction of dematerialization of shares, leading to faster
and cheaper transactions and introduction of derivative products and compulsory rolling
settlement has followed subsequently18. Despite a series of stock market scams and crises
beginning from 1992 Harshad Mehta's scam to the Ketan Parekh's 2001 scam, the Indian
equity markets have transformed themselves from a broker dominated market to a mass
market.
18 U. R. Bhat, ‘The Market Needs A Make Over’, The Economic Times, (December 13 2004), 8
23
The introduction of online trading has given a much-needed impetus to the Indian equity
markets. However, over the years, reforms in the equity markets have brought the country
on par with many developed markets on several counts. Today, India boasts of a variety
of products, including stock futures, an instrument launched only by select markets.
The introduction of rolling settlement is the latest step in the direction of overhauling the
stock market. The equity market of the country will most likely be comparable with the
world's most advanced secondary markets with regard to international best practices. The
market moved to compulsory rolling settlement and now all settlements are executed on
T+2 basis and market is gearing up for moving to T+1 settlement in 2004 while the
Straight Through Processing (STP) is in place from December 2002.
The importance of equity market is increasing. Rightly, realizing the advantages of
resource allocation through market, Government of India and Reserve Bank of India have
been pushing reforms in equity markets. Series of steps are being taken to remove
hurdles, increase market efficiency and to make it attractive for the retail investors to take
part in the equity market. It may not be an exaggeration to say that the Indian markets are
resourceful to put themselves on par with the markets of the developed countries. The
Indian markets have assimilated in a relatively lesser time, many a developments that
took long time in the developed markets.
The Government of India has been trying to improve market efficiency, enhance
transparency and bring the Indian Equity Market up to international standards. Many
reform measures have been initiated in the 90s19. The principal ones are the formation of
Securities Exchange Board of India (SEBI), repeal of the Capital Issues (Control) Act,
1947, introduction of screen-based trading, shortening of trading cycle, demutualization
of stock exchanges, establishment of depositories disappearance of physical share
certificates and better risk management systems in stock exchanges.
19 Ashok, Rambhia, ‘Fifty years of Indian Capital Market’, Capital Market, (August 2003), 14-17.
24
The formation of SEBI was the first attempt towards integrated regulation of the
securities market. SEBI regulates all market intermediaries and has the powers to impose
monetary penalties for misconduct of any intermediary. One of the major stumbling
blocks in fair pricing of capital issues has been the Capital Issues (Control) Act, 1947.
The issuers were denied the opportunity to economically raise money from the capital
market. This is now a matter of the past thanks to the repeal of the Act itself. SEBI has
also issued Disclosure and Investor Protection (DIP) guidelines to ensure fair prices for
the investors, though however, many issuers in the 90s could unfairly price their capital
issues at the cost of the poor common investors.
The introduction of Screen Based Trading Systems (SBTS) by NSE is a major
development in the capital market. This made the markets more efficient. The
geographical barriers to trade were dismantled resulting in increased trading volumes.
This was possible due to the great advancements in the area of information technology.
SBTS electronically matches orders cutting down time, cost and errors, and minimizing
the chances of fraud. Very long settlement cycle was another major hindrance in effecting
deliveries in the equity market. Often the securities were delivered after 30 days or more
due to weekly/fortnightly settlements and carry forward transactions. SEBI has enforced
the discipline to compulsorily settle trades in T+3 days since April 2002. This is slated to
reduce to T+2 days from April 2003. All scrips are now under rolling settlement since
December 2001.
The Equity Market is incomplete without products to manage risks in portfolio values. At
long last, derivatives trading appeared on Indian exchanges in June 2000. While the
product range in derivatives is still limited (futures and options on stocks and stock
indices), it is certainly a major step forward in broadening the financial markets. NSE
was established as a demutualized structure separating the roles of ownership,
management and trading to eliminate any conflict of interest among the stakeholders to
improve market efficiency and to focus on investor interest. Another notable
development in the Indian equity market has been the introduction of depositories to
dematerialize the share certificates. This avoids physical movement of certificates, bad
25
deliveries and quicker transfer of ownership of shares. Presently all actively traded shares
are held, traded and settled in Demat form. The setting up of National Securities Clearing
Corporation Ltd., (NSCCL) in April 1996 has been a major development in managing
counterparty risks in the equity market. This has helped in increasing trading volumes
since traders are now more confident about default-free settlements. While most of the
above measures have helped in reinforcing confidence in the Indian equity market by
providing more transparent and efficient buying, selling and transfer of shares.
1.4 Outline of the thesis:
Thesis is structured into six chapters. Chapter 1 titled introduction to the thesis discusses
the background and justifications of the research, capital market of India, functions of
capital market and major reforms taken place in capital market.
Chapter 2 provides the basic introduction and overview of derivatives in India. This
chapter covers literature pertaining to history of derivatives, need for and evolution of
derivatives, factors contributing to the growth of derivatives, merits & demerits, critique
of derivatives. Application of derivative instrument like futures and options has been
discussed in detail in this chapter.
Chapter 3 provides review of literature relevant to this research area. It presents the
various studies done by researchers concerning derivatives across the world as well as in
India. It establishes theoretical and conceptual foundation for the research work carried
out and presented in this thesis.
Chapter 4 contains research methodology used to carry out research work. It also includes
research design, objectives, sampling methods, methods and tools of data collection etc.
Chapter 5 presents the analysis of the collected data and addresses the findings of this
research.
26
Finally, Chapter 6 draws conclusions from the results of the analysis and implications for
further research work.
27
CHAPTER 2
DERIVATIVES: INTRODUCTION AND OVERVIEW
2.1 An Introduction
2.2 History of Derivatives
2.3 Need for Derivatives in India
2.4 Evolution of Derivatives in India
2.5 Major Recommendations of Dr. LC. Gupta Committee
2.6 Factors Contributing to the Growth of Derivatives
2.7 Benefits of Derivatives
2.8 Definition of Financial Derivative
2.9 Features of Financial Derivative
2.10 Types and Classifications of Derivatives
2.11 Uses of Derivatives
2.12 Critique of Derivatives
2.13 Myths about Derivatives
2.14 Emerging Structure of Derivatives Markets in India
2.15 Categories of Derivatives Traded in India.
2.16 Equity Derivatives
2.17 Derivative Trading at NSE and BSE
2.18 Futures and Options as Derivative Instruments and their Application.
28
2.1 AN INTRODUCTION
The past decade has witnessed the multiple growths in the volume of international trade
and business due to the wave of globalization and liberalization all over the world. As a
result, the demand for the international money and financial instruments increased
significantly at the global level. In this respect, changes in the interest rates, exchange
rates and stock market prices at the different financial markets have increased the
financial risks to the corporate world. Adverse changes have even threatened the very
survival of the business world. It is, therefore, to manage such risks; the new financial
instruments have been developed in the financial markets, which are also popularly
known as financial derivatives. The basic purpose of these instruments is to provide
commitments to prices for future dates for giving protection against adverse movements
in future prices, in order to reduce the extent of financial risks. Not only this, they also
provide opportunities to earn profit for those persons who are ready to go for higher risks.
In other words, these instruments, indeed, facilitate to transfer the risk from those who
wish to avoid it to those who are willing to accept the same.
Today, the financial derivatives have become increasingly popular and most commonly
used in the world of finance. This has grown with so phenomenal speed all over the
world that now it is called as the derivatives revolution. In an estimate, the present annual
trading volume of derivative markets has crossed US $ 30,000 billion, representing more
than 100 times gross domestic product of India20.
2.2 HISTORY OF DERIVATIVES MARKETS
It is difficult to trace the main origin of futures trading since it is not clearly established
as to where and when the first forward market came into existence. Historically, it is
evident that the development of futures markets followed the development of forward
markets. It is believed that the forward trading has been in existence since 12th century in
20 Gulen H and Mayhew S, “Stock Index Futures Trading and Volatility in International Equity Markets”, Journal of Futures Markets, Vol. 20, (2004), 661-685.
29
England and France. Forward trading in rice was started in 17th century in Japan, known
as Cho-at-Mai a kind (rice trade-on-book) concentrated around Dojima in Osaka, later on
the trade in rice grew with a high degree of standardization. In 1730, this market got
official recognition from the Tokugawa Shogurate. As such, the Dojima rice market
became the first futures market in the sense that it was registered on organized exchange
with the standardized trading norms21.
The butter and eggs dealers of Chicago Produce Exchange joined hands in 1898 to form
the Chicago Mercantile Exchange for futures trading. The exchange provided a futures
market for many commodities including pork bellies (1961), live cattle (1964), live hogs
(1966),and feeder cattle (1971).The International Monetary Market was formed as a
division of the Chicago Mercantile Exchange in 1972 for futures trading in foreign
currencies. In 1982,it introduced a futures contract on the S&P 500 Stock Index. Many
other exchanges throughout the world now trade futures contracts. Among them are the
Chicago Rice and Cotton Exchange, the New York Futures Exchange, the London
International Financial Futures Exchange, the Toronto Futures Exchange and the
Singapore International Monetary Exchange. They grew so rapidly that the number of
shares underlying the option contracts sold each day exceeded the daily volume of shares
traded on the New York Stock Exchange22.
In the 1980s. markets developed for options in foreign exchange, options on stock
indices, and options on futures contracts. The Philadelphia Stock Exchange is the premier
exchange for trading foreign exchange options. The Chicago Board Options Exchange
trades options on the S&P 100and the S&P 500 stock indices while the American Stock
Exchange trades options on the Major Market Stock Index, and the New York Stock
Exchange trades options on the NYSE Index. Most exchanges offering futures contracts
now also offer options on these futures contracts. Thus, the Chicago Board of Trades
offers options on com futures, the Chicago Mercantile Exchange offers options on live
21 Robert W, Kolb, Financial Derivatives, (Miami, Kolb Publishing, 2000), pp 78-80. 22 Williams, Michael S. and Hoffman, Amy. Fundamentals Of Futures And Options Market, (Mcgraw-hill Companies, 2001), p. 203
30
cattle futures, and the International Monetary Market offers options on foreign currency
futures, and so on.
The basic cause of forward trading was to cover the price risk. In earlier years,
transporting goods from one market to other markets took many months. For example, in
the 1800s, food grains produced in England sent through ships to the United States which
normally took few months. Sometimes, during this time, the price crashed due to
unfavourable events before the goods reached to the destination23. In such cases, the
producers had to sell their goods at the loss. Therefore, the producers sought to avoid
such price risk by selling their goods forward, or on a "to arrive" basis. The basic idea
behind this move at that time was simply to cover future price risk. On the opposite side,
the speculator or other commercial firms seeking to offset their price risk came forward
to go for such trading. In this way, the forward trading in commodities came into
existence.
In the beginning, these forward trading agreements were formed to buy and sell food
grains in the future for actual delivery at the pre-determined price. Later on these
agreements became transferable, and during the American Civil War period, i.e., 1860to
1865,it became common place to sell and resell such agreements where actual delivery of
produce was not necessary. Gradually, the traders realized that the agreements were
easier to buy and sell if the same were standardized in terms of quantity, quality and
place of delivery relating to food grains. In the nineteenth century this activity was
centred in Chicago which was the main food grains marketing centre in the United States.
In this way, the modem futures contracts first came into existence with the establishment
of the Chicago Board of Trade (CBOT) in the year 1848, and today, it is the largest
futures market of the world. In 1865, the CBOT framed the general rules for such trading
which later on became a trendsetter for so many other markets.
23 Keith, Redhead, Financial Derivatives: An Introduction to Futures and Options, (New Delhi, Prentice Hall of India, 2002), pp 24-27.
31
In 1874, the Chicago Produce Exchange was established which provided the market for
butter, eggs, poultry, and other perishable agricultural products. In the year 1877, the
London Metal Exchange came into existence, and today, it is leading market in metal
trading both in spot as well as forward. In the year 1898, the butter and egg dealers
withdrew from the Chicago Produce Exchange to form separately the Chicago Butter and
Egg Board, and thus, in 1919 this exchange were renamed as the Chicago Mercantile
Exchange (CME) and were reorganized for futures trading. Since then, so many other
exchanges came into existence throughout the world which trade in futures contracts24.
Although financial derivatives have been in operation since long, but they have become a
major force in financial markets in the early 1970s.The basic reason behind this
development was the failure of Bretton wood System and the fixed exchange rate regime
was broken down. As a result, new exchange rate regime, i.e., floating rate (flexible)
system based upon market forces came into existence. But due to pressure of demand and
supply on different currencies, the exchange rates were constantly changing, and often,
substantially. As a result, the business firms faced a new risk, known as currency or
foreign exchange risk. Accordingly, a new financial instrument was developed to
overcome this risk in the new financial environment.
Another important reason for the instability in the financial market was fluctuation in the
short-term interests. This was mainly due to that most of the government at that time tried
to manage foreign exchange fluctuations through short-term interest rates and by
maintaining money supply targets, but which were contrary to each other. Further, the
increased instability of short-term interest rates created adverse impact on long-term
interest rates, and hence, instability in bond prices because they are largely determined by
long-term interest rates. The result is that it created another risk, named interest rate risk,
for both the issuers and the investors of debt instruments.
24 H S Houthkker and P J Williamson, Economics of Financial Markets, (, London, Oxford university Press, 2002,) pp 55- 56.
32
Interest rate fluctuations had not only created instability in bond prices, but also in other
long-term assets such as, company stocks and shares. Share prices are determined on the
basis of expected present values of future dividends payments discounted at the
appropriate discount rate. Discount rates are usually based on long-term interest rates in
the market. So, increased instability in the long-term interest rates caused to enhanced
fluctuations in the share prices in the stock markets. Further volatility in stock prices is
reflected in the volatility in stock market indices which causes to systematic risk or
market risk.
In the early 1970s, it is witnessed that the financial markets were highly unstable; as a
result, so many financial derivatives have been emerged as the means to manage the
different types of risks stated above, and also of taking advantage of it. Hence, the first
financial futures market was the International Monetary Market, established in 1972by
the Chicago Mercantile Exchange which was followed by the London International
Financial Futures Exchange in 198225.
2.3 NEED FOR DERIVATIVES IN INDIA
Since 1991, due to liberalization of economic policy, the Indian economy has entered an
era in which Indian companies cannot ignore global markets. Before the nineties, prices
of many commodities, metals and other assets were controlled. Others, which were not
controlled, were largely based on regulated prices of inputs. As such there was limited
uncertainty, and hence, limited volatility of prices. But after 1991, starting the process of
deregulation, prices of most commodities are decontrolled. It has also resulted in partly
deregulating the exchange rates, removing the trade controls, reducing the interest rates,
making major changes for the capital market entry of foreign institutional investors,
introducing market based pricing of government securities, etc. All these measures have
increased the volatility of prices of various goods and services in India to producers and
consumers alike. Further, market determined exchange rates and interest rates also
25 M J Powers and D Vogel, Inside the Financial Futures Markets (New York, John Wiley and Sons, 1999), pp 7-11.
33
created volatility and instability in portfolio values and securities prices. Hence, hedging
activities through various derivatives emerged to different risks.
Futures trading offer a risk-reduction mechanism to the farmers, producers, exporters,
importers, investors, bankers, trader, etc. which are essential for any country. In the
words of Alan Greenspan, Chairman of the US Federal Reserve Board, "The array of
derivative products that has been developed in recent years has enhanced economic
efficiency. The economic function of these contracts ,is to allow risks that formerly had
been combined to be unbundled and transferred to those most willing to assume and
manage each risk components26." Development of futures markets in many countries has
contributed significantly in terms of invisible earnings in the balance of payments,
through the fees and other charges paid by the foreigners for using the markets. Further,
economic progress of any country, today, much depends upon the service sector as on
agriculture or industry. Services are now backbone of the economy of the future. India
has already crossed the roads of revolution in industry and agriculture sector and has
allowed the same now m services like financial futures. India has all the infrastructure
facilities and potential exists for the whole spectrum of financial futures trading in like
stock market indices, treasury bills, gilt-edged securities, foreign currencies, cost of
living index, stock market index, etc. For all these reasons, there is a major potential for
the growth of financial derivatives markets in India.
2.4 EVOLUTION OF DERIVATIVES IN INDIA
Starting from a controlled economy, India has moved towards a world where prices
fluctuate every day. The introduction of risk management instruments in India gained
momentum in the last few years due to liberalisation process and Reserve Bank of India’s
(RBI) efforts in creating currency forward market. Derivatives are an integral part of
liberalisation process to manage risk. NSE gauging the market requirements initiated the
26 J L Stein, The Economics of Futures Markets, (London, Oxford University Press, 2004), pp 12-14.
34
process of setting up derivative markets in India. In July 1999, derivatives trading
commenced in India27
Table 2.1 – Evolution of Derivatives
1991 Liberalization process initiated
14 December 1995 NSE asked SEBI for permission to trade index futures.
18 November 1996 SEBI setup L.C.Gupta Committee to draft a policy framework
for index futures.
11 May 1998 L.C.Gupta Committee submitted report.
7 July 1999 RBI gave permission for OTC forward rate agreements (FRAs)
and interest rate swaps.
24 May 2000 SIMEX chose Nifty for trading futures and options on an Indian
index.
25 May 2000 SEBI gave permission to NSE and BSE to do index futures
trading.
9 June 2000 Trading of BSE Sensex futures commenced at BSE.
12 June 2000 Trading of Nifty futures commenced at NSE.
25 September 2000 Nifty futures trading commenced at SGX.
2 June 2001 Individual Stock Options & Derivatives
(Source: NSE Fact Book 2004)
Commodities futures trading in India was initiated long back in 1950s, however, the
1960s marked a period of great decline in futures trading. Market after market was closed
usually because different commodities' prices increases were attributed to speculation on
these markets. Accordingly, the Central Government imposed the ban on trading in
derivatives in 1969 under a notification issue. The late 1990s shows this signs of opposite
trends-a large scale revival of futures markets in India28, and hence, the Central
Government revoked the ban on futures trading in October, 1999. The Civil Supplies
Ministry agreed, in principle for starting of futures trading in Basmati rice, further, in
27 Susan, Thomas (ed), Derivative Markets in India ,( New Delhi, Tata McGraw-Hill, 2003), pp. 45-67. 28Ajay, Shah (ed), Commodity Derivatives (New Delhi, Tata McGraw-Hill, 2003), p. 10
35
1996 the Government granted permission to the Indian Pepper and Spice Trade
Association to convert its Pepper Futures Exchange into an International Pepper
Exchange. As such, on November 17, 1997, India's first international futures. Exchange
at Kochi, known as the India Pepper and Spice Trade Association-International
Commodity Exchange (IPSTA-ICE) was established.
Similarly, the Cochin Oil Millers Association, in June 1996, demanded the introduction
of futures trading in coconut oils. The Central Minister for Agriculture announced in June
1996 that he was in favour of introduction of futures trading both domestic and
international. Further, a new coffee futures exchange (The Coffee Futures Exchange of
India) is being started at Bangalore. In August, 1997, the Central Government proposed
that Indian companies with commodity price exposures should be allowed to use foreign
futures and option markets. The trend is not confined to the commodity markets alone, it
has initiated in financial futures too.
The Reserve Bank of India set up the Sodhani Expert Group which recommended major
liberalization of the forward exchange market and had urged the setting up of rupee based
derivatives in financial instruments. The RBI accepted several of its recommendations in
August, 199629. A landmark step taken in this regard when the Securities and Exchange
Board of India (SEBI) appointed a Committee named the Dr. LC. Gupta Committee
(LCGC) by its resolution, dated November 18, 1996in order to develop appropriate
regulatory framework for derivatives trading in India. While the Committee's focus was
on equity derivatives but it had maintained a broad perspective of derivatives in general.
The Board of SEBI, on May 11, 1998, accepted the recommendations of the Dr. L C.
Gupta Committee and approved introduction of derivatives trading in India in the phased
manner30. The recommendation sequence is stock, index futures, index options and
options on stocks. The Board also approved the 'Suggestive Bye-Laws' recommended by
29O.P Sodhani, (Chairman) et al, Report of Expert Group on Foreign Exchange Markets In India, RBI, (June 1995) 30 Reforms in Secondary Markets in India, Working paper from National stock exchange (NSE), India, (2000)
36
the Committee for regulation and control of trading and settlement of derivatives’
contracts in India. Subsequently, the SEBI appointed J.R. Verma Committee to look into
the operational aspects of derivatives markets. To remove the road-block of non-
recognition of derivatives as securities under Securities Contract Regulation Act, the
Securities Law (Amendment) Bill, 1999 was introduced to bring about the much needed
changes. Accordingly, in December, 1999, the new framework has been approved and
'Derivatives' have been accorded the status of 'Securities', however, due to certain
completion of formalities, the launch of the Index Futures was delayed by more than two
years. In June, 2000, the National Stock Exchange and the Bombay Stock Exchange
started stock index based futures trading in India. Further, the growth of this market did
not take off as” anticipated. This is mainly attributed to the low awareness about the
product and mechanism among the market players and investors. The volumes, however,
are gradually picking up due to active interest of the institutional investors.
2.5 MAJOR RECOMMENDATIONS OF Dr. L.C. GUPTA COMMITTEE31
Before discussing the emerging structure of derivatives markets in India, let us have a
brief view of the important recommendations made by the Dr. LC. Gupta Committee on
the introduction of derivatives markets in India. These are as under:
1. The Committee is strongly of the view that there is urgent need of introducing of
financial derivatives to facilitate market development and hedging in a most cost-
efficient way against market risk by the participants such as mutual funds and
other investment institutions.
2. There is need for equity derivatives, interest rate derivatives and currency
derivatives.
3. Futures trading through derivatives should be introduced in phased manner
starting with stock index futures, which will be followed by options on index and
31 L. C, Gupta, (Chairman) et al, Report of the Committee on Regulatory Framework for Derivatives Trading, SEBI, (September 1997 and March 1998.)
37
later options on stocks. It will .enhance the efficiency and liquidity of cash
markets in equities through arbitrage process.
4. There should be two-level regulation (regulatory framework for derivatives
trading), i.e., exchange level and SEBI level. Further, there must be considerable
emphasis on self regulatory competence of derivative exchanges under the overall
supervision and guidance of SEBI.
5. The derivative trading should be initiated on a separate segment of existing stock
exchanges having an independent governing council. The number of the trading
members will be limited to 40 percent of the total number. The Chairman of the
governing council will not be permitted to trade on any of the stock exchanges.
6. The settlement of derivatives will be through an independent clearing
Corporation/Clearing house, which will become counter-party for all trades or
alternatively guarantees the settlement of all trades. The clearing corporation will
have adequate risk containment measures and will collect margins through EFT.
7. The derivatives exchange will have on-line-trading and adequate surveillance
systems. It will disseminate trade and price information on real time basis through
two information vending networks. It should inspect 100 percent of members
every year.
8. There will be complete segregation of client money at the level of trading/clearing
member and even at the level of clearing corporation.
9. The trading and clearing member will have stringent eligibility conditions. At
least two persons should have passed the certification programme approved by the
SEBI.
10. The clearing members should deposit minimum Rs 50 lakh with clearing
corporation and should have a net worth of Rs 3 crore.
11. Removal of the regulatory prohibition on the use of derivatives by mutual funds
while making the trustees responsible to restrict the use of derivatives by mutual
funds only to hedging and portfolio balancing and not for specification.
12. The operations of the cash market on which the derivatives market will be based,
needed improvement in many respects.
38
13. Creation of a Derivation Cell, a Derivative Advisory Committee, and Economic
Research Wing by SEBI.
14. Declaration of derivatives as 'securities' under Section 2 (h) of the SCRA and
suitable amendments in the notification issued by the Central Government in
June, 1969under Section 16of the S()RJl g'
The SEBI Board approved the suggested Bye-Laws recommended by the LC. Gupta
Committee for regulation and control of trading and settlement of derivatives contracts.
2.5.1 Explanation of some important terms used in the committee's
recommendations
Derivatives concept: A derivative product, or simply 'derivative', is to be sharply
distinguished from the underlying cash asset. Cash asset is the asset which is bought or
sold in the cash market on normal delivery terms. Thus, the term 'derivative' indicates
that it has no independent value. It means that its value is entirely 'derived' from the value
of the cash asset. The main point is that derivatives are forward or futures contracts, i.e.,
contracts for delivery and payment on a-specified future date. They are essentially to
facilitate hedging of price risk of the cash asset. In the market term, they are called as
'Risk Management Tools'32.
Financial derivatives- Types: Though the Committee was mainly concerned with equity
based derivatives but it has tried to examine the need for derivatives in a broad
perspective for creating a better understanding and showing inter-relationship. Broadly,
there are three kinds of price risk exposed to a financial transaction33, viz.
1. Exchange rate risk, a position arisen in a foreign currency transaction like import,
export, foreign loans, foreign investment, rendering foreign services, etc.
32 T.V.,Somanathan, Derivatives, (New Delhi, Tata McGraw-Hill, 2000), pp. 238-239. 33 Kalmakar, D.S., ‘Regulation and Policy Issues for Derivatives In India’, Derivative Markets India, (New Delhi, Tata McGraw-Hill, 2003)
39
2. Interest rate risk, as in the case of fixed-income securities, like treasury bond
holdings whose market price could fall heavily if interest rates shot up
3. Equities', 'market risk', also called 'systematic risk'-a risk which cannot be
diversified away because stock market as a whole may go up or down from time
to time
The above said classification indicates towards the emergence of three types of financial
derivatives namely currency futures, interest rate futures and equity futures. As both
forward contracts and futures contracts can be used for hedging, but the Committee
favors the introduction of futures wherever possible.
Forward contracts are presently being used in India to provide forward cover against
exchange rate risk. Currency and interest rate futures lie in the sphere of Reserve Bank of
India (RBI)34.
The Dr. L C. Gupta Committee recognizes that the basic principles underlying the
organization, control and regulation of markets of all kinds of financial futures are the
more or less same and that the trading infrastructure may be common or separate,
partially or wholly. The Committee is of further opinion that there must be a formal
mechanism for coordination between SEBI and RBI in respect of financial derivatives
markets so that all kinds of overlapping of jurisdiction in respect of trading mechanism
are removed.
Financial derivatives markets in India have been developed so far in three important
instruments like equity, interest and currency. First one is regulated by the SEBI, whereas
other two are controlled by the RBI. The markets of these instruments are in their
preliminary stage.
34 R. V. Gupta,. (Chairman) et al, Report of the committee on ‘Hedging through International Commodity Exchanges’, RBI, (November 1997)
40
2.6 FACTORS CONTRIBUTING TO THE GROWTH OF DERIVATIVES:
Factors contributing to the explosive growth of derivatives are price volatility,
globalization of the markets, technological developments and advances in the financial
theories.
2.6.1 Price Volatility
A price is what one pays to acquire or use something of value. The objects having value
maybe commodities, local currency or foreign currencies. The concept of price is clear to
almost everybody when we discuss commodities. There is a price to be paid for the
purchase of food grain, oil, petrol, metal, etc. the price one pays for use of a unit of
another persons money is called interest rate. And the price one pays in one’s own
currency for a unit of another currency is called as an exchange rate.
Prices are generally determined by market forces. In a market, consumers have ‘demand’
and producers or suppliers have ‘supply’, and the collective interaction of demand and
supply in the market determines the price. These factors are constantly interacting in the
market causing changes in the price over a short period of time. Such changes in the price
are known as ‘price volatility’. This has three factors: the speed of price changes, the
frequency of price changes and the magnitude of price changes35.
The changes in demand and supply influencing factors culminate in market adjustments
through price changes. These price changes expose individuals, producing firms and
governments to significant risks. The break down of the BRETTON WOODS agreement
brought and end to the stabilizing role of fixed exchange rates and the gold convertibility
of the dollars. The globalization of the markets and rapid industrialization of many
underdeveloped countries brought a new scale and dimension to the markets. Nations that
were poor suddenly became a major source of supply of goods. The Mexican crisis in the
35 Pati, Pratap Chandra and Padhan, Purna Chandra, “Information, Price Discovery and Causality in the Indian Stock Index Futures Market”, Journal Of Financial Risk Management, VI, 3 & 4, (2009), 7-10.
41
south east-Asian currency crisis of 1990’s has also brought the price volatility factor on
the surface. The advent of telecommunication and data processing bought information
very quickly to the markets. Information which would have taken months to impact the
market earlier can now be obtained in matter of moments. Even equity holders are
exposed to price risk of corporate share fluctuates rapidly.
This price volatility risk pushed the use of derivatives like futures and options
increasingly as these instruments can be used as hedge to protect against adverse price
changes in commodity, foreign exchange, equity shares and bonds.
2.6.2 Globalisation of Markets
Earlier, managers had to deal with domestic economic concerns; what happened in other
part of the world was mostly irrelevant. Now globalization has increased the size of
markets and as greatly enhanced competition .it has benefited consumers who cannot
obtain better quality goods at a lower cost. It has also exposed the modern business to
significant risks and, in many cases, led to cut profit margins
In Indian context, south East Asian currencies crisis of 1997 had affected the
competitiveness of our products vis-à-vis depreciated currencies. Export of certain goods
from India declined because of this crisis. Steel industry in 1998 suffered its worst set
back due to cheap import of steel from south East Asian countries. Suddenly blue chip
companies had turned in to red. The fear of china devaluing its currency created
instability in Indian exports. Thus, it is evident that globalization of industrial and
financial activities necessitates use of derivatives to guard against future losses36. This
factor alone has contributed to the growth of derivatives to a significant extent.
2.6.3 Technological Advances
A significant growth of derivative instruments has been driven by technological break
through. Advances in this area include the development of high speed processors,
36 Hansda, Sanjiv K. and Partha Ray , ‘BSE and Nasdaq: Globalisation, Information Technology and Stock Prices,’ Economic and Political Weekly, VII, 5, (February 2, 2002), 459-67.
42
network systems and enhanced method of data entry. Closely related to advances in
computer technology are advances in telecommunications. Improvement in
communications allow for instantaneous world wide conferencing, Data transmission by
satellite. At the same time there were significant advances in software programmed
without which computer and telecommunication advances would be meaningless. These
facilitated the more rapid movement of information and consequently its instantaneous
impact on market price.
Although price sensitivity to market forces is beneficial to the economy as a whole
resources are rapidly relocated to more productive use and better rationed overtime the
greater price volatility exposes producers and consumers to greater price risk. The effect
of this risk can easily destroy a business which is otherwise well managed. Derivatives
can help a firm manage the price risk inherent in a market economy. To the extent the
technological developments increase volatility, derivatives and risk management products
become that much more important.
2.6.4 Advances in Financial Theories
Advances in financial theories gave birth to derivatives. Initially forward contracts in its
traditional form, was the only hedging tool available. Option pricing models developed
by Black and Scholes in 1973 were used to determine prices of call and put options. In
late 1970’s, work of Lewis Edeington extended the early work of Johnson and started the
hedging of financial price risks with financial futures. The work of economic theorists
gave rise to new products for risk management which led to the growth of derivatives in
financial markets37.
The above factors in combination of lot many factors led to growth of derivatives
instruments.
37 John C. Hull, Introduction to Futures and Options Market, (New Delhi, Prentice Hall of India,2004 ) pp. 295-97.
43
2.7 BENEFITS OF DERIVATIVES IN INDIA
During December, 1995, the NSE applied to the SEBI for permission to undertake
trading in stock index futures. Later SEBI appointed the Dr. L C. Gupta Committee,
which conducted a survey amongst market participants and observed an overwhelming
interest in stock index futures, followed by other derivatives products. The LCGC
recommended derivatives trading in the stock exchanges in a phased manner. It is in this
context, SEBI permitted both NSE and BSE in the year 2000 to commence trading in
stock index futures. The question, therefore, becomes relevant-what are the benefits of
trading in Derivatives for the country and in particular for choosing stock index futures as
the first preferred product? Following are some benefits of derivatives:
1. India's financial market system will strongly benefit from smoothly functioning
index derivatives markets.
2. Internationally, the launch of derivatives has been associated with substantial
improvements in market quality on the underlying equity market. Liquidity and
market efficiency on India's equity market will improve once the derivatives
commence trading.
3. Many risks in the financial markets can be eliminated by diversification. Index
derivatives are special in so far as they can be used by the investors to protect
themselves from the one risk in the equity market that cannot be diversified away,
i.e., a fall in the market index. Once the investors use index derivatives, they will
suffer less when fluctuations in the market index take place.
4. Foreign investors coming into India would be more comfortable if the hedging
vehicles routinely used by them worldwide are available to them.
5. The launch of derivatives is a logical next step in the development of human
capital in India. Skills in the financial sector have grown tremendously in the last
few years. Thanks to the structural changes in the market, the economy is now
ripe for derivatives as the next area for addition of skills.
44
2.8 DEFINITION OF FINANCIAL DERIVATIVE
Before explaining the term financial derivative, let us see the dictionary meaning of
'derivative’. Webster’s Ninth New Collegiate Dictionary (1987) states derivatives as:
1. A word formed by derivation. It means, this word has been arisen by derivation.
2. Something derived; it means that some things have to be derived or arisen out of
the underlying variables. For example, financial derivative is an instrument indeed
derived from the financial market.
3. The limit of the ratio of the change is a function to the corresponding change in its
independent variable. This explains that the value of JIl1ancial derivative will
change as per the change in the value of the underlying financial instrument.
4. A chemical substance related structurally to another substance, and theoretically
derivable from it. In other words, derivatives are structurally related to other
substances.
5. A substance that can be made from another substance in one or more steps. In
case of .financial derivatives, they are derived from a combination of cash market
instruments or other derivative instruments.
For example, you have purchased gold futures on May 2003 for delivery in August 2003.
The price of gold on May 2003 in the spot market is Rs 4500 per 10 grams and for
futures delivery in August 2003 is Rs 4800 per 10 grams. Suppose in July 2003 the spot
price of the gold changes and increased to Rs 4800 per 10 grams. In the same line value
of financial derivatives or gold futures will also change.
From the above, the term derivatives may be termed as follows: The term "Derivative"
indicates that it has no independent value, i.e., its value is entirely derived from the value
of the underlying asset38. The underlying asset can be securities, commodities, bullion,
currency, livestock or anything else. In other words, derivative means forward, futures,
38 John C Hull, Introduction to Futures and Options Market,(New Delhi, Prentice Hall of India, 2004), pp. 3-4.
45
option or any other hybrid contract of predetermined fixed duration, linked for the
purpose of contract fulfillment to the value of a specified real or financial asset or to an
index of securities.
The Securities Contracts (Regulation) Act 1956 defines "derivative" as under:
"Derivative" includes
1. Security derived from a debt instrument, share, loan whether secured or
unsecured, risk instrument or contract for differences or any other form of
security.
2. A contract which derives its value from the prices, or index of prices of
underlying securities.
The above definition conveys that
1. The derivatives are financial products.
2. Derivative is derived from another financial instrument/contract called the
underlying. In the case of Nifty futures, Nifty index is the underlying. A
derivative derives its value from the underlying assets. Accounting Standard
SFAS133 defines a derivative as, 'a derivative instrument is a financial derivative
or other contract with all three of the following characteristics:
(i) It has (1) one or more underlying, and (2) one or more notional amount or
payments provisions or both. Those terms determine the amount of the settlement
or settlements.
(ii) It requires no initial net investment or an initial net investment that is smaller
than would be required for other types of contract that would be expected to have
a similar response to changes in market factors.
(iii) Its terms require or permit net settlement. It can be readily settled net by a
means outside the contract or it provides for delivery of an asset that puts the
recipients in a position not substantially different from) net settlement.
46
In general, from the aforementioned, derivatives refer to securities or to contracts that
derive from another-whose value depends on another contract or assets. As such the
financial derivatives are financial instruments whose prices or values are derived from the
prices of other underlying financial instruments or financial assets. The underlying
instruments may be a equity share, stock, bond, debenture, treasury bill, foreign currency
or even another derivative asset. For example, a stock option's value depends upon the
value of a stock on which the option is written. Similarly, the value of a treasury bill of
futures contracts or foreign currency forward contract will depend upon the price or value
of the underlying assets, such as Treasury bill or foreign currency. In other words, the
price of the derivative is not arbitrary rather it is linked or affected to the price of the
underlying asset that will automatically affect the price of the financial derivative39. Due
to this reason, transactions in derivative markets are used to offset the risk of price
changes in the underlying assets. In fact, the derivatives can be formed on almost any
variable, for example, from the price of hogs to the snow falling at a certain ski resort.
The term financial derivative relates with a variety of financial instruments which include
stocks, bonds, treasury bills, interest rate, foreign currencies and other hybrid securities.
Financial derivatives include futures, forwards, options, swaps, etc. Futures contracts are
the most important form of derivatives, which are in existence long before the term
'derivative' was coined. Financial derivatives can also be derived from a combination of
cash market instruments or other financial derivative instruments. In fact, most of the
financial derivatives are not revolutionary new instruments rather they are merely
combinations of older generation derivatives and/or standard cash market instruments.
In the 1980s,the financial derivatives were also known as off-balance sheet instruments
because no asset or liability underlying the contract was put on the balance sheet as such.
Since the value of such derivatives depend upon the movement of market prices of the
underlying assets, hence, they were treated as contingent asset or liabilities and such
transactions and positions in derivatives were not recorded on the balance sheet.
39 M T, Raju and Kiran, Karande, ‘Price Discovery and Volatility on NSE futures Market’, www.sebi.com, Working Paper Series No.7, (2003)
47
However, it is a matter of considerable debate whether off-balance sheet instruments
should be included in the definition of derivatives. Which item or product given in the
balance sheet should be considered for derivative is a debatable issue. .
In brief, the term financial market derivative can be defined as a treasury capital market
instrument which is derived from, or bears a close relation to a cash instrument or another
derivative instrument. Hence, financial derivatives are financial instruments whose prices
are derived from the prices of other financial instruments.
2.9 FEATURES OF A FINANCIAL DERIVATIVE
As observed earlier, a financial derivative is a financial instrument whose value is derived
from the value of an underlying asset; hence, the name 'derivative' came into existence.
There are a variety of such instruments which are extensively traded in the financial
markets all over the world, such as forward contracts, futures contracts, call and put
options, swaps, etc. A more detailed discussion of the properties of these contracts will be
given later part of this lesson. Since each financial derivative has its own unique features,
in this section, we will discuss some of the general features of a simple financial
derivative instrument.
The basic features of the derivative instrument can be drawn from the general definition
of a derivative irrespective of its type. Derivatives or derivative securities are future
contracts which are written between two parties (counter parties) and whose value are
derived from the value of underlying widely held and easily marketable assets such as
agricultural and other physical (tangible) commodities, or short term and long term
financial instruments, or intangible things like weather, commodities price index
(inflation rate), equity price index, bond price index, stock market index, etc. Usually, the
counter parties to such contracts are those other than the original issuer (holder) of the
48
underlying asset40. From this definition, the basic features of a derivative may be stated as
follows:
1. A derivative instrument relates to the future contract between two parties. It
means there must be a contract-binding on the underlying parties and the same to
be fulfilled in future. The future period may be short or long depending upon the
nature of contract, for example, short term interest rate futures and long term
interest rate futures contract.
2. Normally, the derivative instruments have the value which derived from the
values of other underlying assets, such as agricultural commodities, metals,
financial assets, intangible assets, etc. Value of derivatives depends upon the
value of underlying instrument and which changes as per the changes in the
underlying assets, and sometimes, it may be nil or zero. Hence, they are closely
related.
3. In general, the counter parties have specified obligation under the derivative
contract. Obviously, the nature of the obligation would be different as per the type
of the instrument of a derivative. For example, the obligation of the counter
parties, under the different derivatives, such as forward contract, future contract,
option contract and swap contract would be different.
4. The derivatives contracts can be undertaken directly between the two parties or
through the particular exchange like financial futures contracts. The exchange-
traded derivatives are quite liquid and have low transaction costs in comparison to
tailor-made contracts. Example of exchange traded derivatives are Dow Jones,
S&P 500, Nikki 225, NIFTY option, S&P Junior that are traded on New York
Stock Exchange, Tokyo Stock Exchange, National Stock Exchange, Bombay
Stock Exchange and so on.
5. In general, the financial derivatives are carried off-balance sheet. The size of the
derivative contract depends upon its notional amount. The notional amount is the
amount used to calculate the payoff. For instance, in the option contract, the
40 Dheeraj, Misra, and Misra Sangeeta D , ‘Growth of Derivatives in the Indian Stock Market’, The Indian Journal of Economics, LXXXV, 340, (2005), 45-47.
49
potential loss and potential payoff, both may be different from the value of
underlying shares, because the payoff of derivative products differs from the
payoff that their notional amount might suggest.
6. Usually, in derivatives trading, the taking or making of delivery of underlying
assets is not involved; rather underlying transactions are mostly settled by taking
offsetting positions in the derivatives themselves. There is, therefore, no effective
limit on the quantity of claims, which can be traded in respect of underlying
assets.
7. Derivatives are also known as deferred delivery or deferred payment instrument.
It means that it is easier to take short or long position in derivatives in comparison
to other assets or securities. Further, it is possible to combine them to match
specific, i.e., they are more easily amenable to financial engineering41.
8. Derivatives are mostly secondary market instruments and have little usefulness in
mobilizing fresh capital by the corporate world, however, warrants and
convertibles are exception in this respect.
9. Although in the market, the standardized, general and exchange-traded derivatives
are being increasingly evolved, however, still there are so many privately
negotiated customized, over-the-counter (OTC) traded derivatives are in
existence. They expose the trading parties to operational risk, counter-party risk
and legal risk. Further, there may also be uncertainty about the regulatory status
of such derivatives.
10. Finally, the derivative instruments, sometimes, because of their off-balance sheet
nature, can be used to clear up the balance sheet. For example, a fund manager
who is restricted from taking particular currency can buy a structured note whose
coupon is tied to the performance of a particular currency pair42.
41 Jegadeesh Narsimham and Avanidhar Subrahmanyam , ‘Effects of the Introduction of the S&P 500 Index Futures Contract on Underlying Stocks’, Journal Of Business, 66, (2003),171-187. 42 A N, Sah and A A, Kumar, ‘Price Discovery in Cash and Futures Market: The case of S&P Nifty and Nifty Futures’, The Icfai Journal of Applied Finance, 12, 4, (2006), 55-63.
50
2.10 TYPES AND CLASSIFICATIONS OF DERIVATIVES
In the past section, it is observed that financial derivatives are those assets whose value is
determined by the value of some other assets, called as the underlying. Presently, there
are bewilderingly complex varieties of derivatives already in existence, and the markets
are innovating newer and newer ones continuously.
For example, various types of financial derivatives based on their different properties
like, plain, simple or straightforward, composite, joint or hybrid, synthetic, leveraged,
mildly leveraged, customized or OTC traded, standardized or organized exchange traded,
etc. are available in the market. Due to complexity in nature, it is very difficult to classify
the financial derivatives, so in the present context, the basic financial derivatives which
are popular in the market have been described in brief. The details of their operations,
mechanism and trading, will be discussed in the forthcoming respective chapters. In
simple form, the derivatives can be classified into different categories which are shown in
the Figure.
One form of classification of derivative instruments is between commodity derivatives
and financial derivatives. The basic difference between these is the nature of the
underlying instrument or asset. In a commodity derivatives, the underlying instrument is
a commodity which may be wheat, cotton, pepper, sugar, jute, turmeric, corn, soyabeans,
crude oil, natural gas, gold, silver, copper and so on. In a financial derivative, the
underlying instrument may be treasury bills, stocks, bonds, foreign exchange, stock
index, gilt-edged securities, cost of living index, etc43. It is to be noted that financial
derivative is fairly standard and there are no quality issues whereas in commodity
derivative, the quality may be the underlying matters. However, the distinction between
these two from structure and functioning point of view, both are almost similar in nature.
43T V, Somanathan, ‘Derivatives’, (New Delhi, Tata McGraw-Hill, 1999), pp. 7-8.
51
Derivatives
Future Option Forward Swaps
Figure 2.1 - TYPES OF DERIVATIVES MARKET
Exchange Traded Derivatives Over The Counter Derivatives
National Stock Bombay Stock Commodity Exchanges
Exchange Exchange
Index Future Index option Stock option Stock future
Figure 2.2 - TYPES OF DERIVATIVES
52
Another way of classifying the financial derivatives is into basic and complex
derivatives. In this, forward contracts, futures contracts and option contracts have been
included in the basic derivatives whereas swaps and other complex derivatives are taken
into complex category because they are built up from either forwards/futures or options
contracts, or both. In fact, such derivatives are effectively derivatives of derivatives.
2.11 USES OF DERIVATIVES
Derivatives are supposed to provide the following services:
1. One of the most important services provided by the derivatives is to control,
avoid, shift and manage efficiently different types of risks through various
strategies like hedging, arbitraging, spreading, etc. Derivatives assist the holders
to shift or modify suitably the risk characteristics of their portfolios44. These are
specifically useful in highly volatile financial market conditions like erratic
trading, highly flexible interest rates, volatile exchange rates and monetary chaos.
2. Derivatives serve as barometers of the future trends in prices which result in the
discovery of new prices both on the spot and futures markets. Further, they help in
disseminating different information regarding the futures markets trading of
various commodities and securities to the society which enable to discover or
form suitable or correct or true equilibrium prices in the markets. As a result, they
assist in appropriate and superior allocation of resources in the society45.
3. As we see that in derivatives trading no immediate full amount of the transaction
is required since most of them are based on margin trading. As a result, large
number of traders, speculators arbitrageurs operates in such markets. So,
derivatives trading enhance liquidity and reduce transaction costs in the markets
for underlying assets. 44 Robert, Whaley, Derivatives: Markets, Valuation and Risk Management, (New York, John Wiley & Sons, 2006), pp. 26-28. 45 K N, Mukherjee and R K, Mishra, ‘Lead-Lag Relationship between Equities and Stock Index Futures Market and Its Variation around Information Release: Empirical Evidence from India’, www.nseindia.com. (2006)
53
4. The derivatives assist the investors, traders and managers of large pools of funds
to devise such strategies so that they may make proper asset allocation increase
their yields and achieve other investment goals.
5. It has been observed from the derivatives trading in the market that the derivatives
have smoothen out price fluctuations, squeeze the price spread, integrate price
structure at different points of time and remove gluts and shortages in the markets.
6. The derivatives trading encourage the competitive trading in the markets,
different risk taking preference of the market operators like speculators, hedgers,
traders, arbitrageurs, etc. resulting in increase in trading volume in the country.
They also attract young investors, professionals and other experts who will act as
catalysts to the growth of financial markets46.
7. Lastly, it is observed that derivatives trading develop the market towards
'complete markets'. Complete market concept refers to that situation where no
particular investors be better of than others, or patterns of returns of all additional
securities are spanned by the already existing securities in it, or there is no further
scope of additional security.
2.12 CRITIQUES OF DERIVATIVES
Besides from the important services provided by the derivatives, some experts have
raised doubts and have become critique on the growth of derivatives. They have warned
against them and believe that the derivatives will cause to de-stabilization, volatility,
financial excesses and oscillations in financial markets. It is alleged that they assist the
speculators in the market to earn lots of money, and hence, these are exotic instruments.
In this section, a few important arguments of the critiques against derivatives have been
discussed.
46 N D Vohara, and B R Bagri, Futures and Options, (New Delhi, Tata McGraw-Hill, 2003), pp. 35-36.
54
2.12.1 Speculative and gambling motives
One of most important arguments against the derivatives is that they promote speculative
activities in the market. It is witnessed from the financial markets throughout the world
that the trading volume in derivatives have increased in multiples of the value of the
underlying assets and hardly one to two percent derivatives are settled by the actual
delivery of the underlying assets. As such speculation has become the primary purpose of
the birth, existence and growth of derivatives. Sometimes, these speculative buying and
selling by professionals and amateurs adversely affect the genuine producers and
distributors.
Some financial experts and economists believe that speculation brings about a better
allocation of supplies overtime, reduces the fluctuations in prices, make adjustment
between demand and supply, removes periodic gluts and shortages, and thus, brings
efficiency to the market47. However, in actual practice, above such agreements are \ not
visible. Most of the speculative activities are 'professional speculation' or 'movement
trading' which lead to destabilization in the market. Sudden and sharp variations in prices
have been caused due to common, frequent and widespread consequence of speculation.
2.12.2 Increase in risk
The derivatives are supposed to be efficient tool of risk management in the market. In
fact this is also one sided argument. It has been observed that the derivatives market-
specially OTC markets, as particularly customized, privately managed and negotiated,
and thus, they are highly risky. Empirical studies in this respect have shown that
derivatives used by the banks have not resulted in the reduction in risk, and rather these
have raised of new types of risk. They are powerful leveraged mechanism used to create
47 T V, Somanathan, Derivatives, (New Delhi, Tata McGraw-Hill,1999), pp 24-27.
55
risk48. It is further argued that if derivatives are risk management tool, then why
'government securities, a riskless security, are used for trading interest rate futures which
is one of the most popular financial derivatives in the world.
2.12.3 Instability of the financial system
It is argued that derivatives have increased risk not only for their users but also for the
whole financial system. The fears of micro and macro financial crisis have caused to the
unchecked growth of derivatives which have turned many market players into big losers.
The malpractices, desperate behaviour and fraud by the users of derivatives have
threatened the stability of the financial markets and the financial system.
2.12.4 Price instability49
Some experts argue in favour of the derivatives that their major contribution is toward
price stability and price discovery in the market whereas some others have doubt about
this. Rather they argue that financial derivatives are not new; they have been around for
years. A description of the first know option contract can be found in Aristotle's writing
tells philosopher from Mitetus who developed a financial device, which involves a
principal of universal application. People reproved Thales, syning that his lack of wealth
was proof that philosophy was a useless occupation and of no practical value.
But Thales knew what he was doing and made plans to prove to others his wisdom and
intellect. Thales had great skill in forecasting and predicted that the olive harvest would
be exceptionally good the next autumn. Confident in his prediction, he made agreements
with area olive-press owners to deposit what little money he had with them to guarantee
him exclusive use of their olive presses when the harvest was ready. Thales successfully
negotiated low prices because the harvest was in the futures and no one knew whether the 48 S. L, Gupta, Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 16-17. 49 S. L, Gupta, Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-18. .
56
harvest would be plentiful or pathetic and because the olive-press owners were willing to
hedge against the possibility of a poor yield. Aristotle's story about Thales ends as one
might guess: "when the harvest-time came, and many [presses] were wanted all at once
and of a sudden, he let them out at any rate which he pleased, and made a quantity of
money. Thus he showed the world that philosophers can easily be rich if they like, but
that their ambition is of another sort." So Thales exercised the first known option
contracts some 2,500 years ago. He was not obliged to exercise the option. If the olive
harvest had not been good, Thales could have let the option contracts expire unused and
limited his loss to the original price paid for the option.
Most financial derivatives traded today are the "plain vanilla" variety the simplest form of
a financial derivatives that are much difficult to measure, manage, and understand. For
those instruments, the measurement and control of risk can be far more complicated,
creating the increased possibili'ty of unforeseen losses.
Wall Street's "rocket scientist" are continually creating new, complex, sophisticated
financial derivative products. However, those products are all built on foundation of the
four basis types of derivatives. Most of the newest innovations are designed to hedge
complex risks in an effort to reduce future uncertainties and mange risks more
effectively. But the newest innovations require a firm understanding of the tradeoff of
risks and rewards. To that end, derivative users should establish a guiding set of
principles to provide a framework for effectively managing and controlling financial
derivative activities. Those principles should focus on the role of senior management,
valuation and market risk argument, credit measurement and management, enforceability
operating systems and controls and accounting and disclosure of risk-management
positions.
57
2.13 MYTHS ABOUT DERIVATIVES
3.13.1 Myth number 1
"Derivatives are purely speculative, highly leveraged instrument"
Put another way. This myth is that "derivatives" is a fancy name for gambling. Has
speculative trading of derivative products fuelled the rapid growth in their use? Are
derivatives used only to speculate on the direction of interest rates or currency exchange
rates? Of course, not, indeed, the explosive use of financial derivative products in recent
years was brought about by three primary forces: more volatile markets, deregulation and
new technologies50.
The turning point seems to have occurred in the early 1970s with the breakdown of the
fixed-rate international currency exchange regime, which was established at the
1944conference at Bretton Woods and maintained by the International Monetary Fund.
Since then currencies have floated freely. Accompanying that development was the
gradual removal of government-established interest-rate ceilings when Regulation Q
interest-rate restrictions were phased out. Not long afterward came inflationary oilprice
shocks and wild interest-rate fluctuations. In sum, financial markets were more volatile
than at any time since the Great Depression. Banks and other financial intermediaries
responded to the new environment by developing financial risk management products
designed to better control risk. The first were simple foreign exchange forwards that
obligated one counterpart to buy, and the other to sell, a fixed amount of currency at an
agreed date in the future51. By entering into a foreign exchangeforward contract,
customers could offset the risk that large movements in foreign exchange rates would
destroy the economic viability of their overseas projects. Thus, derivatives were
originally intended to be used to effectively hedge certain risks; and, in fact, that was the
key that unlocked their explosive development. 50 S. L, Gupta, Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), p. 21 51 Neilsen, Lars Tyge, ‘Pricing and Hedging Derivatives Securities, (London, Oxford University Press, 1999), pp. 23-25.
58
Beginning in the early 1980s, a host of new competitors accompanied the deregulation of
financial markets, and the arrival of powerful but inexpensive personal computers
ushered in new ways to analyze information and break down risk into component parts.
To serve customers better, financial intermediaries offered an ever-increasing number of
novel products designed to more effectively manage and control financial risks. New
technologies quickened the pace of innovation and provided banks with
superiormethodsfortrackingandsimulatingtheirownderivativesportfolios. .
2.13.2 Myth number 2
"The enormous size of the financial derivatives market dwarfs bank capital, thereby
making derivatives trading an unsafe and unsound banking practice"
The financial derivatives market's worth is regularly reported as more than $20 trillion.
That estimate dwarfs not only bank capital but also the nation's $7 trillion annual gross
domestic product. Those often quoted figures are notional amounts. For derivatives,
notional principal is the amount on which interest and other payments are based. Notional
principal typically does not change hands; it is simply a quantity used to calculate
payments52.
While notional principal is the most commonly used volume measure in derivatives
markets, it is not an accurate measure of credit exposure. A useful proxy for the actual
exposure of derivative instruments is replacement-cost credit exposure. That exposure is
the cost of replacing the contract at current market values should the counterpart default
before the settlement date.
For the 10 largest derivatives players among US bank holding companies, derivative
credit exposure averages 15 percent of total assets. The average exposure is 49 percent of
assets for those banks' loan portfolios. In other words, if those 10 banks lost 100 percent
52 S. L, Gupta,. Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-20.
59
on their loans, the loss would be more than three times greater than it would be if they
had to replace all of their derivative contracts.
Derivatives also help to improve market efficiencies because risks can be isolated and
sold to those who are willing to accept them at the least cost. Using derivatives breaks
risk into pieces that can be managed independently. Corporations can keep the risks they
are most comfortable managing and transfer those they do not want to other companies
that are more willing to accept them. From a market oriented perspective, derivatives
offer the free trading of financial risks.
The viability of financial derivatives rests on the principle of comparative advantage-that
is, the relative cost of holding specific risks. Whenever comparative advantages exist,
trade can benefit all parties involved. And financial derivatives allow for the free trading
of individual risk components.
2.13.3 Myth number 3
"Only large multinational corporations and large banks have a purpose for using
derivatives"
Very large organizations are the biggest users of derivative instruments. However, firms
of all sizes can benefit from using them. For example, consider a small regional bank
(SRB) with total assets of $5 million. The SRB has a loan portfolio composed primarily
of fixed-rate mortgages, a portfolio of government securities, and interest-bearing
deposits that are often repriced. Two illustrations of how SRBs can use derivatives to
hedge risks are:
First, rising interest rates will negatively affect prices in the SRB's $1 million securities
portfolio. But by selling short a $1 million treasury-bond futures contract, the SRB can
effectively hedge against that interest-rate risk and smooth its earnings stream in a
volatile market. If interest rates went higher, the SRB would be hurt by a drop in value of
its securities portfolio, but that loss would be offset by a gain from its derivative contract.
60
Similarly, if interest nites fell, the bank would gain from the increase in value of its
securities portfolio but would record a loss from its derivative contract. By entering into
derivatives contracts, the SRB can lock in a guaranteed rate of return on its securities
portfolio and not be as concerned about interest-rate volatility53.
The second illustration involves a swap contract. As in the first illustration, rising interest
rates will harm the SRB because it receives fixed cash flows on its loan portfolio and
must pay variable cash flows for its deposits. Once again, the SRB can hedge against
interest-rate risk by entering into a swap contract with a dealer to pay fixed and receive
floating payments.
2.13.4 Myth number 4
"Financial derivatives are simply the latest risk-management fad"
Financial derivatives are important tools that can help organizations to meet their specific
risk management objectives. As is the case with all tools, it is important that the user
understand the tool's intended function and that are necessary to undertake various
purposes. What kinds of derivative instruments and trading strategies are most
appropriate? How will those instruments perform if there is a large increase or decrease
in interest rates? How will those instruments perform if there are wild fluctuations in
exchange rates? Without a clearly defined risk-management strategy, use of financial
derivatives can be dangerous. It can threaten the accomplishment of a firm's long-range
objectives and result in unsafe and unsound practices that could lead to the organization's
insolvency. But when used wisely, financial deIivatives can increase shareholder value
by providing a means to better control a firm's risk exposures and cash flows. Clearly,
derivatives are here to stay.We are well on our way to truly global fina!1cialmarkets that
will continue to develop new financial innovations to improve risk-management
53 S. L, Gupta,. Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-20.
61
practices. Financial derivatives are not the latest risk-management fad54. They are
important to'Olsfor helping organizations to better manage their risk exposures.
2.13.5 Myth number 5
"Derivatives take money out of productive processes and never put anything back"
Financial derivatives, by reducing uncertainties, make it possible for corporations to
initiate productive activities that might not otherwise be pursued. For example, a
company may want to build a manufacturing facility in the United Slates but is concerned
about the project's overall cost because of exchange rate volatility between the dollar. To
ensure that the company will have the cash available when it is needed for investment,
the manufacturer should devise a prudent risk-management strategy that is in harmony
with its broader corporate objective of building a manufacturing facility in the United
States. As part of that strategy, the firm should use financial derivatives to hedge against
foreign exchange risk. Derivatives used as a hedge can improve the management of cash
flows at the individual firm level.
To ensure that productive activities are pursued, corporate finance and treasury groups
should transform their operations from mundane bean counting to activist financial risk
management. They should integrate a clear set of risk management goals and objectives
into the organization's overall corporate strategy. The ultimate goal is to ensure that the
organization has the necessary funds at its disposal to pursue investments that maximize
shareholder value55. Used properly; financial derivatives can help corporations to reduce
uncertainties and promote more productive activities.
2.13.6 Myth number 6
"Only risk-seeking organizations should use derivatives"
54 S. L, Gupta,. Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-20. . 55 Robert W, Kolb, Financial Derivatives, (New York, John Wiley, 2003), pp. 56-65
62
Financial derivatives can be used in two ways: to hedge against unwanted risks or to
speculate by taking a position in anticipation of a market movement The olive-press
owners, by locking in a guaranteed return no matter how good or bad the harvest, hedged
against the risk that the next season's olive harvest might not be plentiful. Thales
speculated that the next season's olive harvest would be exceptionally good, and
therefore, paid an up-front premium in anticipation of that event Similarly, organizations
today can use financial derivatives to actively seek out specific risks and speculate on the
direction of interest-rate or exchange-rate movements, or they can use derivatives to
hedge against unwanted risks56. Hence, it is not true that only risk-seeking institutions use
derivatives. Indeed, organizations should use derivatives as part of their overall risk
management strategy for keeping those risks that they are comfortable managing and
selling those that they do not want to others who are more willing to accept them. Even
conservatively managed institutions can use derivatives to improve their cash flow
management to ensure that the necessary funds are available to meet broader corporate
objectives. One could argue that organizations that refuse to use financial derivatives are
at greater risk than are those that use them. .
When using financial derivatives, however, organizations should be careful to use only
those instruments that they un?erstand and that fit best with their corporate risk-
management philosophy. It may be prudent to. Stay away from the more exotic
instruments, unless the risk/reward tradeoffs are clearly understood by the firm's senior
management and its independent risk-management review team. Exotic contracts should
not be used unless there is some obvious reason for doing so. .
2.13.7 Myth number 7
"The risks associated with financial derivatives are new and unknown"
The kinds of risks associated with derivatives are no different from those associated with
traditional financial instruments, although they can be far more complex. There are credit
56 S. L, Gupta,. Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-20.
63
risks, operating risks, markets and so on. Risks from derivatives originate with the
customer. With few exceptions, the risks are man-made, that is, they do not readily
appear in nature. For example, when a new homeowner negotiates with a lender to
borrow a sum of money, the customer creates risks by the type of mortgage he chooses.-
risks to himself and the lending company. Financial derivatives allow the lending
institution to break up those risks and distribute them around the financial system via
secondary markets57. Thus, many risks associated with derivatives are actually created by
the dealers' customers or by their customers' customers. Those risks have been inherent in
our nation's financial system since its inception.
Banks and other financial intermediaries should view themselves as risk managers
blending their knowledge of global financial markets with their clients' needs to help their
clients anticipate change and have the flexibility to pursue opportunities that maximize
their success. Banking is inherently a risky business. Risk permeates much of what banks
do. And, for banks to survive, they must be able to understand measure and manage
financial risks effectively. The types of risks faced by corporations today have not
changed; rather, they are more {complex and interrelated. The increased complexity and
volatility of the financial markets have paved the way for the growth of numerous
financial innovations that can enhance returns relative to risk. But a thorough
understanding of the new financial-engineering tools and their proper integration into a
firm's overall risk-management strategy and corporate philosophy can help to turn
volatility into profitability.
Risk management is not about the elimination of risk; it is about the management of risk:
selectively choosing those risks an organization is comfortable with and minimizing
those that it does not want. Financial derivatives serve a useful purpose in fulfilling risk-
management objectives. Through derivatives, risks from traditional instruments can be
57 Susan Thomas, and Ajay Shah, ‘Equity Derivatives in India: The state of the art’, (New Delhi, Tata McGraw Hill series, 2003), pp. 2-4.
64
efficiently unbundled and managed independently. Used correctly, derivatives can save
costs and increase returns58.
Today dealers manage portfolios of derivatives and oversee the net, or residual, risk of
their overall position. That development has changed the focus of risk management from
individual transactions to portfolio exposures and has substantially improved dealers'
ability to accommodate a broad spectrum of customer transactions. Because most active
derivatives players today trade on portfolio exposures, it appears that financial derivatives
do not wind markets together any more tightly than do loa11:s. Derivatives players do not
match every trade with an offsetting trade; instead, they continually manage the residual
risk of the portfolio. If a counterpart defaults on a swap, the defaulted party does not turn
around and default on some other counterpart that offset the original transaction. Instead,
a derivatives default is very similar to a loan default. That is why it is important that
derivatives players perform with due diligence in determining th(' financial strength and
default risks of potential counter parties.
2.13.8 Myth number 8
"Because of the risks associated with derivatiVes, banking regulators should ban their
use by any institution covered by federal deposit insurance"
The problem is not derivatives but the perverse incentive banks have under the current
system of federal deposit guarantees. Deposit insurance and other deposit reforms were
first introduced to address some of the instabilities associated with systemic risk.
Through federally guaranteed deposit insurance, the US government attempted to avoid,
by increasing depositors' confidence, the experience of deposit runs that characterized
banking crises before the 1930s.
The current deposit guarantee structure has, indeed, reduced the probability of large-scale
bank panics, but it has also created some new problems. Deposit insurance effectively
58 Ajay, Shah,’ Market Efficiency on the Indian Equity Derivatives Market’, Tata McGraw-Hill series, (2003), pp. 99-104.
65
dominates the discipline provided by the market mechanism that encourages banks to
maintain appropriate capital levels and restrict unnecessary risk taking. Therefore, banks
may wish to pursue higher risk strategies because depositors have a diminished incentive
to monitor banks. Further, federal deposit insurance may actually encOl,lragebanks to use
derivatives as speculative instruments to pursue higher risk strategies, instead of to hedge,
or as dealers59.
Since federal deposit insurance discourages market discipline, regulators have been put in
the position of monitoring banks to ensure that they are managed in a safe and sound
manner. Given the present system of federal deposit guarantees, regulatory proposals
involving financial derivatives should focus on market-oriented reforms as opposed to
laws that might eliminate risk management benefits of derivatives. To that end, banking
regulators should emphasize more disclosure of derivatives positions in financial
statements and be certain that institutions trading huge derivatives portfolios have
adequate capital. In addition, because derivatives could have implications for the stability
of the financial system, it is important that users maintain sound management practices.
Regulators have issued guidelines that banks with substantial trading or derivatives
activity should follow. Those guidelines include . Active board and senior management
oversight of trading activities; Establishment of an internal risk-management audit
function that is independent of the trading function thorough and timely audits to identify
internal control weaknesses; and, risk-measurement and risk-management information
systems that include stress tests, simulations, and contingency plans for adverse market
movements. It is the responsibility of a bank's senior management to ensure that risks are
effectively controlled and limited to levels that do not pose a serious threat to its capital
position. Regulation is an ineffective substitute for sound risk management at the
individual form level60.
59 S. L, Gupta,. Financial Derivatives: theory, concepts and Problems, (New Delhi, Prentice-Hall of India, 2006), pp. 17-20. 60 J R, Verma, (Chairman), et al, The SEBI committee Report on the Development and Regulation of Derivatives markets in India, (2002)
66
2.14 EMERGING STRUCTURE OF DERIVATIVES MARKETS IN INDIA
Derivatives markets in India can be broadly categorized into two markets namely;
financial derivatives markets and commodities futures markets. Financial derivatives
markets deal with the financial futures instruments like stock futures, index futures, stock
options, index options, interest rate futures, currency forwards and futures, financial
swaps, etc. whereas commodity future markets deal with commodity instruments like
agricultural products; food grains, cotton and oil; metals like gold, silver, copper, and
steel and other assets like live stocks, vegetables and so on61.
Financial derivatives markets in India are regulated and controlled by the Securities and
Exchange Board of India (SEBI). The SEBI is authorized under SEBI Act to frame rules
and regulations for financial futures trading on the stock exchanges with the objective to
protect the interest of the investors in the market. Futher carry forward trading (Badla
trading) was also regulated by the SEBI which is traded on the stock exchanges.
Some of the other financial derivatives like currency options and futures and interest rate
futures are controlled by the Reserve bank of India (RBI). These are dealt on Over-the-
Counter (OTC) markets. Financial futures on interest rate include both short term interest
rate and long term interest rate forwards. Currencies include options and forwards. Since
the RBI is the apex body to regulate currencies and interest rates in India, hence, financial
derivatives relating to foreign currencies and interest rates are generally come under RBI
regulation.
Major stock exchanges in India, under the regulation of SEBI, trade in two kinds of
futures products namely equity and carry forwards. Equity futures include stock futures,
index futures, stock options, index options. Currently these are traded on National Stock
Exchange and Bombay Stock Exchange.
61 D. C, Patwari, Options an Futures in an Indian perspective, (Mumbai, JAICO publishing House, 2001), pp. 3-9
67
Commodity futures markets are regulated in India by Forward Market Commission
(FMC). The commission is entrusted with to regulate commodities futures trading in
India. Central government has allowed 54 commodities of different categories to be
eligible for trading on exchanges.
The future derivative trading in India is bright and growing day by day. More new
products and instruments are coming up to be traded on stock and commodity exchanges.
2.15 CATEGORIES OF DERIVATIVES TRADED IN INDIA
1. Commodities futures for coffee, oil seeds, oil, gold, silver, pepper, cotton, jute
andjute goods are traded in the commodities futures. Forward Markets
Commission regulates the trading of commodities futures.
2. Index futures based on Sensex and NIFTY index are also traded under the
supervision of Securities and Exchange Board of India (SEBI).
3. The RBI has permitted banks, Financial Institutions (FI's) and Primary Dealers
(PD's) to enter into forward rate agreement (FRAs)/interest rate swaps in order to
facilitate hedging of interest rate risk and ensuring orderly development of the
derivatives market.
4. The National Stock Exchange (NSE) became the first exchange to launch trading
in options on individual securities. Trading in options on individual securities
commenced from July, 2001. Options contracts are American style and cash
settled and are available in about 40 securities stipulated by the Securities and
Exchange Board of India62.
5. The NSE commenced trading in futures on individual securities on November 9,
2001. The futures contracts are available in about 31 securities stipulated by
SEBI. The BSE also started trading in stock options and futures (both Index and
Stocks) around at the same time as the NSE.
62 www.nseindia.com
68
6. The National Stock Exchange commenced trading in interest rate future on June
2003. Interest rate futures contracts are available on 91-day T-bills, lO-year bonds
and lO-year zero coupon bonds as specified by the SEBI.
Table 2.2: Business Growth in Derivatives segment Year Index Futures Stock Futures Index Options Stock Options
No. of
contracts
Turnover
(Rs. cr.)
No. of
contracts
Turnover
(Rs. cr.)
No. of
contracts
Notional
Turnover
(Rs. cr.)
No. of
contracts
Notional
Turnover
(Rs. cr.)
2009-10 86651879 1715349.01 59128122 2257189.61 132889753
2789950.24
4731748 187261.34
2008-09 210428103 3570111.40 221577980 3479642.12 212088444
3731501.84
13295970 229226.81
2007-08 156598579 3820667.27 203587952 7548563.23 55366038
1362110.88
9460631 359136.55
2006-07 81487424 2539574 104955401 3830967 25157438 791906
5283310 193795
2005-06 58537886 1513755 80905493 2791697 12935116 338469
5240776 180253
2004-05 21635449 772147 47043066 1484056 3293558 121943
5045112 168836
2003-04 17191668 554446 32368842 1305939 1732414 52816
5583071 217207
2002-03 2126763 43952 10676843 286533 442241 9246
3523062 100131
2001-02 1025588 21483 1957856 51515 175900 3765 1037529 25163
2000-01 90580 2365 - - - - - -
(Source: SEBI Handbook)
2.16 EQUITY DERIVATIVES
Dr. L.C. Gupta Committee considered in its study both types of equity like stock index
derivatives and individual stocks derivatives. At the international level, stock index
derivative is more popular than the individual stock. The Committee found in its survey
69
that index futures are more preferable than individual stock from the respondents63. The
order of over-all preference in India as per the survey of the Committee was as follows:
(i) Stock index futures, (ii) Stock index options, (iii) Individual stock options and (iv)
Individual stock futures.
Basic reasons for the preference of stock index futures: Not only in India, in other
countries too, stock index futures is most popular financial derivatives due to the
following reasons:
1. Institutional investors and other large equity holders prefer the most this
instrument in terms of portfolio hedging purpose.
2. Stock index futures are the most cost-efficient hedging device whereas hedging
through individual stock futures is costlier as observed in other countries.
3. Stock index futures cannot be easily manipulated whereas individual stock price
can be exploited more easily. In India it is rather easier to play this game as
witnessed in the past scams.
4. This is in fact that due to a limited supply of an individual stock, supply can easily
be cornered even in large companies in India like Reliance Industries, State Bank
of India, etc. The Management of these companies has complained many times
about their share prices being manipulated by some interested parties. On the
other hand, the supply of stock index futures is unlimited, and hence, the
possibility of cornering is ruled out. In fact, the manipulation of stock index
futures can be possible only of the cash prices of each component securities in the
index be influenced, which is rare and not so high.
5. It is observed from the experiences of other countries that stock index futures are
more liquid, more popular and favorable than individual stock futures. The same
is also witnessed by the LC Gupta Committee in its survey from the responses of
the respondents.
63 Gautam, Bhardwaj, ‘The Outlook for Derivatives in India: Some Survey Evidence’, Derivative markets in India (New Delhi, Tata McGraw-Hill, 2003), pp. 309-319.
70
6. Since, stock index futures consists of many securities, so being an average stock,
is much less volatile than individual stock price. Further, it implies much lower
capital adequacy and margin requirements in comparison of individual stock
futures.
7. In case of stock index futures trading, there is always clearing house guarantee, so
the chances of the clearing house going to be bankrupt is very rare, and hence, it
is less risky.
8. Another important reason is that in case of individual stocks, the outstanding
positions are settled normally against physical delivery of the shares. Hence, it is
necessary that futures and cash prices remained firmly tied to each other.
However, in case of stock index futures, the physical delivery is almost
impractical, and they are settled in cash all over the world on the premise that
index value, as independently derived from the cash market, is safely accepted as
the settlement price.
9. Lastly, it is also seen that regulatory complexity is much less in the case of stock
index futures in comparison to other kinds of equity derivatives.
In brief, it is observed that the stock index futures are more safer, popular and
attractive derivative instrument than the individuals stock. Even in the US market, the
regulatory framework does not allow use of futures on the individual stocks. Further
only very few countries of world, say one or two, have futures trading on individual
stock.
Strengthening of Cash Market
The Dr. L.C Gupta Committee observed that for successful introduction of futures market
in any country, there must be a strong cash market because derivatives extract their value
from the cash asset. The constant feedback between these two markets through arbitrage
will keep these markets in alignment with each other. The Committee noted certain
weaknesses of the Indian equities markets which should be taken care for success of the
futures trading in India. A few important weaknesses observed are as under:
71
Mixing of cash and forward transactions
1. There is queer mixture of cash and future transactions in the Indian stock markets.
For example, cash transactions (involving delivery), in most active scripts,
deliveries are just around 5percent of the trading volume whereas in many others,
it is just, 20-30 percent. In fact, the dominant cash transactions are the non-
delivery which are the equivalent of futures/forward transactions.
2. It is further noted that the above said mixed system (cash-cum-carry forward) is
not very sound for futures trading because (i) no transparency in the carry forward
system, (ii) the influence of fundamental factors is not so strong due to dominance
of short term speculation and (iii) creating a future market on such basis may have
the effect of compounding the existing weaknesses.
3. The Committee is of the view that there must be separation between cash market
and futures market. It will promote the markets economic efficiency. This has led
to the adoption of the rolling settlement system because in this way, cash market
will function as genuine cash markets but no carry forward. Even futures market
does not permit carry forward from one settlement to another in the way practised
in India64.
4. The trading in Indian stock market was shifted to rolling settlement recently
where always emphasized for settlement by delivery. But in India, 'squaring up or
closing' business (i.e. offsetting of buying and selling transactions within the
settlement) is accounted for in bulk which is not appropriate for futures trading.
Differences in trading cycles among stock exchanges
1. Indian stock exchanges, now, most of them, have a weekly trading cycle but the
cycles are not uniform. For example, NSE has from Wednesday to Tuesday and
BSE has from Monday to Friday. Due to difference in trading cycles, the brokers
who have membership in both the exchanges can easily go on circulating their
trades from one exchange to the other without ever having to delivery. Such
64 J R, Verma, (Chairman), et al, The SEBI committee Report on the Development and Regulation of Derivatives markets in India, (2002).
72
situation is a complete travesty of the cash market and an abuse to the stock
market system.
2. It seems that in Indian stock markets, the different trading cycles have been kept
with a vested interest in order to deliberately generate arbitrage opportunities. It is
seen that due to this, the prices for the same securities on two (NSE and BSE)
stock exchanges differ from 0.5 to 1.5 percent even it is larger on expiration days.
The Committee feels that the different cycles serving the interest of only
speculators and not of genuine investors. Even it is not good for market
development and futures trading65.
3. It is also noted, that the prices of various securities on both exchanges (NSE and
BSE), sometimes are not the same. As a result, the value of the stock indices on
both the exchanges will not be same, if computed separately from the NSE and
BSE prices. This will create a problem in valuation of future market stock. ,.
4. The Committee also noted that for a successful future trading, a coordinated but
pro-competitive nation wide market system be achieved. So it is suggested that
before implementing a uniform trading cycle system among all exchanges, till
such time the rolling settlement system can be adopted. This system will provide a
sound and reliable basis for futures trading in India.
Weakness of stock exchange administrative machinery
The Dr. LC. Gupta Committee members were of the strong opinion that for successful
derivatives trading on the stock exchanges, there must be stringent monitoring norms and
much higher standard of discipline, than in the present, be maintained. Though the SEBI
has already made a good efforts but much more still is to be done specifically in the
controlling of trading members.
Inadequate depository system
The Committee is of the view that all such securities which are composing in stock index
and used for stock index futures, should necessarily be in depository mode. As observed
65 T V, Somnathan,, ‘The Regulatory Framework of Futures and Derivatives Trading’, Derivatives, (New Delhi, Tata McGraw-Hill publication, 2000 ), pp. 221-245.
73
earlier, settlement problems of the cash market may weaken the arbitrage process by
making it risky and costly. Since, index based derivatives trading does not itself involve
deliveries, it will increase the arbitrage trading between cash and index derivatives
markets. The arbitrage process keeps the two markets in alignment. Thus, due to this
reason, it is essential for successful futures trading that all the scripts of the particular
stock index futures must be in the depository mode. Hence, depository scripts in India
should be enhanced. The Committee has no doubt that the creation of futures markets by
introducing the financial derivatives, including equity futures, currency futures and
interest rate futures would be a major step towards the further growth and development of
the Indian financial markets provided that the trading must be cost-efficient and risk
hedging facilities66.
2.17 DERIVATIVES TRADING AT NSE/BSE
The most notable of development in the history of secondary segment of the Indian stock
market is the commencement of derivatives trading in June, 2000. The SEBI approved
derivatives trading based on futures contracts at National Stock Exchange (NSE) and
Bombay Stock Exchange (BSE) in accordance with the ruleslbye-Iaws and regulations of
the stock exchanges. To begin with, the SEBI permitted equity derivatives named stock
index futures. The BSE introduced on 9 June, 2000 stock index futures based on the
sensitive Index (also called SENSEX comprising 30 scripts)named BSX, and NSE started
on June 12, 2000 stock index future based on its index S&P CNX NIFTY (comprised 50
scripts) in the name of N FUTIDX NIFTY.
In India, stock index futures are available for one-month, two-month and three-month
maturities. All the open positions in these contracts are settled daily. Further, the buyers
and sellers are required to deposit margin with the respective stock exchanges determined
as per the SEBI guidelines. To facilitate the effective risk management in the derivatives
segment, all the important measures like minimum net worth requirement for the broker,
66 T V, Somnathan,, ‘The Regulatory Framework of Futures and Derivatives Trading’, Derivatives, (New Delhi, Tata McGraw-Hill publication, 2000, pp. 221-245.
74
determination of margin based on value at risk model, position limit for various
participants, mechanism for collection and enforcement of margin, etc. have been put in
place. Subsequently, the derivative products range had been increased by including
options and futures on the indices and on several highly traded stocks. In an estimate, the
product wise turnover of derivatives on the Indian stock markets as on July 6,2002 is
stock futures (50%), index futures (21%), stock options (25%) and index option (4%). It
means stock futures are most popular derivative traded at the stock market of India67.
During the last decade, to make stock market functioning effective for futures trading, the
SEBI has adopted several internationally tested and accepted mechanism for
implementation at the Indian stock exchanges. For this, proper surveillance and risk
containment like the circuit breaker, price bands, value at risk (VaR)based margin
collections, etc. have been introduced.
The SEBI set up a 'Technical Group' headed by Prof. l.R. Verma to prescribe risk
containment measures for new derivative products. The group recommended the
introduction of exchange traded options on Indices which is also conformity with the
sequence of introduction of derivatives products recommended by Dr. Lc. Gupta
Committee.
The Technical Group has recommended the risk containment measure for exchange
traded options on indices. The following are the important features of the risk
containment framework for the trading and settlement of both index futures and index
option contracts68:
1. European style index options will be permitted initially. These will be settled in
cash.
2. Index option contracts will have a minimum contract size of Rs 21akh, at the time
of its introduction.
67 RBI, Annual Report, Various issues, 2003, pp 56-57. 68Ravi, Narain, , ‘Experiences with Derivatives Trading at NSE’, Derivative Markets In India, (New Delhi, Tata McGraw-Hill Series, 2003 ), pp. 27-35.
75
3. The risk containment measures described hereunder are only for premium style
European option.
4. Index option contract will have a maximum maturity of 12months and a minimum
of three strikes, i.e., in the money, near the money and out of the money.
5. A portfolio based margining approach, which would take an integrated view of
the risk involved in the portfolio of individual client, will be adopted. It is for the
first time that such an approach is introduced in the Indian stock market. It is
inconsistent with the practices followed in the countries. This approach will not
only cover the risk but also help in reducing the transaction costs in derivatives.
6. The initial margin requirements will be based on worst case loss of a portfolio of
an individual client to cover a 99% value at risk (Var) over a one day horizon.
The initial margin requirement will be netted at level of individual client and it
will be on gross basis at the level of Trading/Clearing member. Further, the initial
margin requirement for the proprietary position of Trading/Clearing member will
also be on net basis.
7. The short option minimum margin equal to 30%of the Notional value of all short
index option will be charged if sum of the worst scenario loss and the calendar
spread margin is lower than the short option minimums margin.
8. Net option value will be calculated on the current market value of the option times
the number of options (positive for long options and negative for short options) in
the portfolio. The net option value will be added to the Liquid Net Worth of the
clearing member.
9. For option positions, the premium will be paid in by the buyer in cash and paid
out to the seller in cash on T + 1day until the buyer pays in the premium due shall
be deducted from the available Liquid Net Worth on a real time basis. In case of
index futures contracts, the mark-to-market gains losses for index futures position
will continue to be settled.
Contrary to international experience, the growth of derivatives market did not take off as
anticipated. The value of trading have been low. This is mainly attributed to the low
awareness about the products and mechanism of trading among the market players and
76
investors. SEBI's technical group on new derivative products has recently examined this
issue and recommended the following measures for the development of derivatives
market69:
1. The system of sub-brokers be used for increasing the volume of trading in this
market.
2. Financial institutions and mutual funds be permitted to sell short in the cash
market for facilitating the free arbitrage between cash and derivatives market.
However, such short sale may be restricted to the extent of corresponding
exposure in the derivative market.
3. Arbitrage between cash and derivatives markets will assist in better price
discovery in both the markets.
Countries like USA, UK and Singapore have reaped considerably economic benefit from
foreign participation in their futures markets. Foreign participation in futures markets
hedge the potential to act as a substantial 'invisible earner' of foreign exchange. Earlier
the SEBI and the RBI both were hesitant to allow the foreign institutional investors (FIIs)
for trading in the futures markets. However, recently the RBI has allowed FIIs to trade in
derivatives market subject to the condition that the overall open position of the FII shall
not exceed 100percent of the market value of the concerned FII's total investment. As per
the recent notification of the Central Government, SEBI and RBI will jointly examine the
issues concerning trading in financial derivatives by FIs and FII(s).
The SEBI board has initially approved the introduction of single stock futures contract on
31 stocks on which option contracts have been introduced on BSE and NSE. A list of
these has been given in Table 5.2. The Advisory Committee on Derivatives of the SEBI
shall review the eligibility criteria for introduction of futures and options on any other
stock from time to time. A brief structure in general relating to financial derivatives
operating in India has been shown in Fig. 5.1.
69 Technical Group Report, SEBI.
77
2.18 FUTURES AND OPTIONS AS DERIVATIVE INSTRUMENTS & ITS
APPLICATION.
In recent years, derivatives have become increasingly important in the field of finance.
While futures and options are now actively traded on many exchanges, forward contracts
are popular on the OTC market. In this chapter we shall study in detail these three
derivative contracts.
2.18.1 Forward Contracts
A forward contract is an agreement to buy or sell an asset on a specified date for a
specified price. One of the parties to the contract assumes a long position and agrees to
buy the underlying asset on a certain specified future date for a certain specified pric e.
The other party assumes a short position and agrees to sell the asset on the same date for
the same price. Other contract details like delivery date, price and quantity are negotiated
bilaterally by the parties to the contract. The forward contracts are normally traded
outside the exchanges70.
The salient features of forward contracts are:
• They are bilateral contracts and hence exposed to counter-party risk.
• Each contract is custom designed, and hence is unique in terms of contract size,
expiration date and the asset type and quality.
• The contract price is generally not available in public domain.
• On the expiration date, the contract has to be settled by delivery of the asset.
• If the party wishes to reverse the contract, it has to compulsorily go to the same
counter-party, which often results in high prices being charged.
However forward contracts in certain markets have become very standardized, as in the
case of foreign exchange, thereby reducing transaction costs and increasing transactions
volume. This process of standardization reaches its limit in the organized futures market.
70 John Marshall and Vipul Bansal,, Financial Engineering : A complete guide to Financial Innovation, (New Delhi, Prentice Hall of India, 1999), p.33
78
Forward contracts are very useful in hedging and speculation. The classic hedging
application would be that of an exporter who expects to receive payment in dollars three
months later. He is exposed to the risk of exchange rate fluctuations. By using the
currency forward market to sell dollars forward, he can lock on to a rate today and reduce
his uncertainty. Similarly an importer who is required to make a payment in dollars two
months hence can reduce his exposure to exchange rate fluctuations by buying dollars
forward.
If a speculator has information or analysis, which forecasts an upturn in a price, then he
can go long on the forward market instead of the cash market. The spec ulator would go
long on the forward, wait for the price to rise, and then take a reversing transaction to
book profits. Speculators may well be required to deposit a margin upfront. However, this
is generally a relatively small proportion of the value of the assets underlying the forward
contract. The use of forward markets here supplies leverage to the speculator.
Limitations of Forward Markets
Forward markets world-wide are afflicted by several problems:
. • Lack of centralization of trading,
. • Illiquidity, and
. • Counterparty risk
In the first two of these, the basic problem is that of too much flexibility and generality.
The forward market is like a real estate market in that any two consenting adults can form
contracts against each other. This often makes them design terms of the deal which are
very convenient in that specific situation, but makes the contracts non-tradable.
Counterparty risk arises from the possibility of default by any one party to the
transaction. When one of the two sides to the transaction declares bankruptcy, the other
suffers. Even when forward markets trade standardized contracts, and hence avoid the
79
problem of illiquidity, still the counterparty risk remains a very serious issue71.
2.18.2 Introduction to Futures
Futures markets were designed to solve the problems that exist in forward markets. A
futures contract is an agreement between two parties to buy or sell an asset at a certain
time in the future at a certain price. But unlike forward contracts, the futures contracts are
standardized and exchange traded. To facilitate liquidity in the futures contracts, the
exchange specifies certain standard features of the contract. It is a standardized contract
with standard underlying instrument, a standard quantity and quality of the underlying
instrument that can be delivered, (or which can be used for reference purposes in
settlement) and a standard timing of such settlement. A futures contract may be offset
prior to maturity by entering into an equal and opposite transaction. More than 99% of
futures transactions are offset this way72.
The standardized items in a futures contract are:
. • Quantity of the underlying
. • Quality of the underlying
. • The date and the month of delivery
. • The units of price quotation and minimum price change
. • Location of settlement
Distinction between futures and forwards
FUTURES FORWARDS
Trade on an organized exchange OTC in nature
Standardized contract terms Customised contract terms
hence more liquid hence less liquid
Requires margin payments No margin payment
Follows daily settlement Settlement happens at end of
period
71 Baz, Jamil and Chacko, George, Financial Derivatives: Pricing, Application and Mathematics, (London, Cambridge University Press, 2003) 72 S L, Gupta, ‘Financial Derivatives: Theory, Concepts and Problems’, (New Delhi, Prentice Hall of India, 2006), pp. 86-95.
80
Distinction between Futures and Forwards Contracts
Forward contracts are often confused with futures contracts. The confusion is primarily
because both serve essentially the same economic functions of allocating risk in the
presence of future price uncertainty. However futures are a significant improvement over
the forward contracts as they eliminate counterparty risk and offer more liquidity. Table
3.1 lists the distinction between the two.
Futures Terminology
• Spot price: The price at which an asset trades in the spot market.
• Futures price: The price at which the futures contract trades in the futures
market.
• Contract cycle: The period over which a contract trades. The index futures
contracts on the NSE have one-month, two-months and three-months expiry cycles which
expire on the last Thursday of the month. Thus a January expiration contract expires on
the last Thursday of January and a February expiration contract ceases trading on the last
Thursday of February. On the Friday following the last Thursday, a new contract having
a three-month expiry is introduced for trading.
• Expiry date: It is the date specified in the futures contract. This is the last day on
which the contract will be traded, at the end of which it will cease to exist.
• Contract size: The amount of asset that has to be delivered in one contract, also
called as lot size.
• Basis: In the context of financial futures, basis can be defined as the futures price
minus the spot price. There will be a different basis for each delivery month for
each contract. In a normal market, basis will be positive. This reflects that futures
prices normally exceed spot prices.
• Cost of carry: The relationship between futures prices and spot prices can be
summarized in terms of what is known as the cost of carry. This measures the
storage cost plus the interest that is paid to finance the asset less the income
earned on the asset.
• Initial margin: The amount that must be deposited in the margin account at the
time a futures contract is first entered into is known as initial margin.
81
• Marking-to-market: In the futures market, at the end of each trading day, the
margin account is adjusted to reflect the investor's gain or loss depending upon
the futures closing price. This is called marking-to-market.
• Maintenance margin: This is somewhat lower than the initial margin. This is set
to ensure that the balance in the margin account never becomes negative. If the
balance in the margin account falls below the maintenance margin, the investor
receives a margin call and is expected to top up the margin account to the initial
margin level before trading commences on the next day.
2.18.3 Introduction to Options
In this section, we look at the next derivative product to be traded on the NSE, namely
options. Options are fundamentally different from forward and futures contracts. An
option gives the holder of the option the right to do something. The holder does not have
to exercise this right. In contrast, in a forward or futures contract, the two parties have
committed themselves to doing something. Whereas it costs nothing (except margin
requirements) to enter into a futures contract, the purchase of an option requires an up-
front payment73.
Option Terminology
. • Index options: These options have the index as the underlying. Some
options are European while others are American. Like index futures contracts, index
options contracts are also cash settled.
. • Stock options: Stock options are options on individual stoc ks. Options
currently trade on over 500 stocks in the United States. A contract gives the holder the
right to buy or sell shares at the specified price.
• Buyer of an option: The buyer of an option is the one who by paying the option
premium buys the right but not the obligation to exercise his option on the seller/writer.
• Writer of an option: The writer of a call/put option is the one who receives the
73John C. Hull, Introduction to Futures and Options Market, (New Delhi, Prentice Hall of India, 2006), pp. 110-119.
82
option premium and is thereby obliged to sell/buy the asset if the buyer exercises
on him.
There are two basic types of options, call options and put options.
• Call option: A call option gives the holder the right but not the obligation to buy
an asset by a certain date for a certain price.
• Put option: A put option gives the holder the right but not the obligation to sell an
asset by a certain date for a certain price.
• Option price/premium: Option price is the price which the option buyer pays to
the option seller. It is also referred to as the option premium.
• Expiration date: The date specified in the options contract is known as the
expiration date, the exercise date, the strike date or the maturity.
• Strike price: The price specified in the options contract is known as the strike
price or the exercise price.
• American options: American options are options that can be exercised at any time
upto the expiration date. Most exchange-traded options are American.
• European options: European options are options that can be exercised only on the
expiration date itself. European options are easier to analyze than American
options, and properties of an American option are frequently deduced from those
of its European counterpart.
• In-the-money option: An in-the-money (ITM) option is an option that would lead
to a positive cash flow to the holder if it were exercised immediately. A call
option on the index is said to be in-the-money when the current index stands at a
level higher than the strike price (i.e. spot price > strike price). If the index is
much higher than the strike price, the call is said to be deep ITM. In the case of a
put, the put is ITM if the index is below the strike price.
• At-the-money option: An at-the-money (ATM) option is an option that would
lead to zero cash flow if it were exercised immediately. An option on the index is
at-the-money when the current index equals the strike price
(i.e. spot price = strike price).
• Out-of-the-money option: An out-of-the-money (OTM) option is an option that
83
would lead to a negative cashflow if it were exercised immediately. A call option
on the index is out-of-the-money when the current index stands at a level which is
less than the strike price (i.e. spot price < strike price). If the index is much lower
than the strike price, the call is said to be deep OTM. In the case of a put, the put
is OTM if the index is above the strike price.
• Intrinsic value of an option: The option premium can be broken down into two
components - intrinsic value and time value. The intrinsic value of a call is the
amount the option is ITM, if it is ITM. If the call is OTM, its intrinsic value is
zero. Putting it another way, the intrinsic value of a call is Max[0, (St — K)]
which means the intrinsic value of a call is the greater of 0 or (St — K). Similarly,
the intrinsic value of a put is Max[0, K — St],i.e. the greater of 0 or (K — St). K is
the strike price and St is the spot price.
• Time value of an option: The time value of an option is the difference between its
premium and its intrinsic value. Both calls and puts have time value. An option
that is OTM or ATM has only time value. Usually, the maximum time value
exists when the option is ATM. The longer the time to expiration, the greater is an
option's time value, all else equal. At expiration, an option should have no time
value.
2.18.4 Index Derivatives74
Index derivatives are derivative contracts which derive their value from an underlying
index. The two most popular index derivatives are index futures and index options. Index
derivatives have become very popular worldwide. Index derivatives offer various
advantages and hence have become very popular.
• Institutional and large equity-holders need portfolio-hedging facility. Index-
derivatives are more suited to them and more cost-effective than derivatives based
on individual stocks. Pension funds in the US are known to use stock index
futures for risk hedging purposes.
74 S L, Gupta, Financial Derivatives: Theory, Concepts and Problems, (New Delhi, Prentice Hall of India, 2006), pp. 203-226.
84
• Index derivatives offer ease of use for hedging any portfolio irrespective of its
composition.
• Stock index is difficult to manipulate as compared to individual stock prices,
more so in India, and the possibility of cornering is reduced. This is partly
because an individual stock has a limited supply, which can be cornered.
• Stock index, being an average, is much less volatile than individual stock prices.
This implies much lower capital adequacy and margin requirements.
• Index derivatives are cash settled, and hence do not suffer from settlement delays
and problems related to bad delivery, forged/fake certificates.
2.18.5 Applications Of Futures And Options
The phenomenal growth of financial derivatives across the world is attributed the
fulfillment of needs of hedgers, speculators and arbitrageurs by these products. In this
chapter we first look at how trading futures differs from trading the underlying spot. We
then look at the payoff of these contracts, and finally at how these contracts can be used
by various entities in the economy.
A payoff is the likely profit/loss that would accrue to a market participant with change in
the price of the underlying asset. This is generally depicted in the form of payoff
diagrams which show the price of the underlying asset on the X-axis and the
profits/losses on the Y-axis.
Trading Underlying Versus Trading Single Stock Futures
The single stock futures market in India has been a great success story across the world.
NSE ranks first in the world in terms of number of contracts traded in single stock
futures. One of the reasons for the success could be the ease of trading and settling these
contracts.
To trade securities, a customer must open a security trading account with a securities
broker and a demat account with a securities depository. Buying security involves putting
up all the money upfront. With the purchase of shares of a company, the holder becomes
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a part owner of the company. The shareholder typically receives the rights and privileges
associated with the security, which may include the receipt of dividends, invitation to the
annual shareholders meeting and the power to vote.
Selling securities involves buying the security before selling it. Even in cases where short
selling is permitted, it is assumed that the securities broker owns the security and then
"lends" it to the trader so that he can sell it. Besides, even if permitted, short sales on
security can only be executed on an up-tick.
To trade futures, a customer must open a futures trading account with a derivatives
broker. Buying futures simply involves putting in the margin money. They enable the
futures traders to take a position in the underlying security without having to open an
account with a securities broker. With the purchase of futures on a security, the holder
essentially makes a legally binding promise or obligation to buy the underlying security
at some point in the future (the expiration date of the contract). Security futures do not
represent ownership in a corporation and the holder is therefore not regarded as a
shareholder75.
A futures contract represents a promise to transact at some point in the future. In this
light, a promise to sell security is just as easy to make as a promise to buy security.
Selling security futures without previously owning them simply obligates the trader to
selling a certain amount of the underlying security at some point in the future. It can be
done just as easily as buying futures, which obligates the trader to buying a certain
amount of the underlying security at some point in the future. In the following sections
we shall look at some uses of security future.
2.18.5.1 FUTURES PAYOFFS
Futures contracts have linear payoffs. In simple words, it means that the losses as
well as profits for the buyer and the seller of a futures contract are unlimited. These
75 N.D Vohra, and B. R. Bagri, , Futures and Options, (New Delhi, Tata Mcgraw-Hill, 2003) , pp. 123-128.
86
linear payoffs are fascinating as they can be combined with options and the
underlying to generate various complex payoffs76.
Payoff for buyer of futures: Long futures
The payoff for a person who buys a futures contract is similar to the payoff for a person
who holds an asset. He has a potentially unlimited upside as well as a potentially
unlimited downside. Take the case of a speculator who buys a two-month Nifty index
futures contract when the Nifty stands at 2220.
The underlying asset in this case is the Nifty portfolio. When the index moves up, the
long futures position starts making profits, and when the index moves down it starts
making losses. Figure 2.3 shows the payoff diagram for the buyer of a futures contract.
The figure shows the profits/losses for a long futures position. The investor bought
futures when the index was at 2220. If the index goes up, his futures position starts
making profit. If the index falls, his futures position starts showing losses.
Figure 2.3 Payoff for buyer of futures
76 John C. Hull, Fundamentals of Futures and Options Market, (New Delhi, Prentice Hall of India, 2006), pp. 73-76.
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Payoff for seller of futures: Short futures
The payoff for a person who sells a futures contract is similar to the payoff for a person
who shorts an asset. He has a potentially unlimited upside as well as a potentially
unlimited downside. Take the case of a speculator who sells a two-month Nifty index
futures contract when the Nifty stands at 2220. The underlying asset in this case is the
Nifty portfolio. When the index moves down, the short futures position starts making
profits, and when the index moves up, it starts making losses. Figure 2.4 shows the
payoff diagram for the seller of a futures contract.
The figure shows the profits/losses for a short futures position. The investor sold futures
when the index was at 2220. If the index goes down, his futures position starts making
profit. If the index rises, his futures position starts showing losses.
Figure 2.4: Payoff for seller of futures
2.18.5.2 Pricing Futures
Pricing of futures contract is very simple. Using the cost-of-carry logic, we calculate the
fair value of a futures contract. Every time the observed price deviates from the fair
value, arbitragers would enter into trades to capture the arbitrage profit. This in turn
would push the futures price back to its fair value. The cost of carry model used for
pricing futures is given below77:
77 O P Gupta, and Kumar Muneesh, ‘Impact of Introduction of Index Furtures on Stock Volatility: Indian Experience’, NSE Research Initiative, National Stock Exchange, (Mumbai, 2002), p.25.
88
where: r Cost of financing (using continuously
compounded interest rate) T Time till expiration in
years e 2.71828
Example: Security XYZ Ltd trades in the spot market at Rs. 1150. Money can be invested
at 11% p.a. The fair value of a one-month futures contract on XYZ is calculated as
follows:
Pricing equity index futures
A futures contract on the stock market index gives its owner the right and obligation to
buy or sell the portfolio of stocks characterized by the index. Stock index futures are cash
settled; there is no delivery of the underlying stocks.
In their short history of trading, index futures have had a great impact on the world's
securities markets. Its existence has revolutionized the art and science of institutional
equity portfolio management.
The main differences between commodity and equity index futures are that:
. • There are no costs of storage involved in holding equity.
. • Equity comes with a dividend stream, which is a negative cost if you are
long the stock and a positive cost if you are short the stock.
Therefore, Cost of carry = Financing cost -Dividends. Thus, a crucial aspect of dealing
with equity futures as opposed to commodity futures is an accurate forecasting of
dividends. The better the forecast of dividend offered by a security, the better is the
estimate of the futures price78.
78 K S Nagraj and Kotha Kiran Kumar, ‘Index Fuutures Trading and Spot Market Volatility : Evidence from an Emerging Market’, The ICFAI Journal of Applied finance,10, 8, (2003) 5-15.
89
Pricing index futures given expected dividend amount
The pricing of index futures is also based on the cost-of-carry model, where the carrying
cost is the cost of financing the purchase of the portfolio underlying the index, minus the
present value of dividends obtained from the stocks in the index portfolio.
Example
Nifty futures trade on NSE as one, two and three-month contracts. Money can be
borrowed at a rate of 10% per annum. What will be the price of a new two-month futures
contract on Nifty?
1. Let us assume that ABC Ltd. will be declaring a dividend of Rs.20 per share after
15 days of purchasing the contract.
2. Current value of Nifty is 4000 and Nifty trades with a multiplier of 100.
3. Since Nifty is traded in multiples of 100, value of the contract is 100*4000 =
Rs.400,000.
4. If ABC Ltd. Has a weight of 7% in Nifty, its value in Nifty is Rs.28,000
i.e.(400,000 * 0.07).
5. If the market price of ABC Ltd. Is Rs.140, then a traded unit of Nifty involves
200 shares of ABC Ltd. i.e. (28,000/140).
6. To calculate the futures price, we need to reduce the cost-of-carry to the extent of
dividend received. The amount of dividend received is Rs.4000
i.e. (200*20). The dividend is received 15 days later and hence compounded only
for the remainder of 45 days. To calculate the futures price we need to compute the
amount of dividend received per unit of Nifty. Hence we divide the compounded
dividend figure by 100.
7. Thus, futures price
Pricing index futures given expected dividend yield
If the dividend flow throughout the year is generally uniform, i.e. if there are few
historical cases of clustering of dividends in any particular month, it is useful to calculate
the annual dividend yield.
90
F = Se (r-q)T
where:
F = futures price
S = spot index value
r = cost of financing
q = expected dividend yield
T = holding period
Example: A two-month futures contract trades on the NSE. The cost of financing is 10%
and the dividend yield on Nifty is 2% annualized. The spot value of Nifty 4000. The fair
value of the futures contract is :
(0.1-0.02) × (60 / 365)
Fair value = 4000e
= Rs.4052.95
The cost-of-carry model explicitly defines the relationship between the futures price and
the related spot price. As we know, the difference between the spot price and the futures
price is called the basis.
Nuances
• As the date of expiration comes near, the basis reduces -there is a convergence of
the futures price towards the spot price. On the date of expiration, the basis is
zero. If it is not, then there is an arbitrage opportunity. Arbitrage opportunities can
also arise when the basis (difference between spot and futures price) or the
spreads (difference between prices of two futures contracts) during the life of a
contract are incorrect. At a later stage we shall look at how these arbitrage
opportunities can be exploited.
• There is nothing but cost-of-carry related arbitrage that drives the behavior of the
futures price.
• Transactions costs are very important in the business of arbitrage.
The figure shows how basis changes over time. As the time to expiration of a contract
reduces, the basis reduces. Towards the close of trading on the day of settlement, the
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futures price and the spot price converge. The closing price for the June 28 futures
contract is the closing value of Nifty on that day.
Figure 2.5 Variation of basis over time (Source: www.nseindia.com)
2.18.5.3 Pricing Stock Futures
A futures contract on a stock gives its owner the right and obligation to buy or sell the
stocks. Like index futures, stock futures are also cash settled; there is no delivery of the
underlying stocks. Just as in the case of index futures, the main differences between
commodity and stock futures are that:
. • There are no costs of storage involved in holding stock.
. • Stocks come with a dividend stream, which is a negative cost if you are
long the stock and a positive cost if you are short the stock.
Therefore, Cost of carry = Financing cost -Dividends. Thus, a crucial aspect of dealing
with stock futures as opposed to commodity futures is an accurate forecasting of
dividends. The better the forecast of dividend offered by a security, the better is the
estimate of the futures price.
Pricing stock futures when no dividend expected
The pricing of stock futures is also based on the cost-of-carry model, where the carrying
cost is the cost of financing the purchase of the stock, minus the present value of
dividends obtained from the stock. If no dividends are expected during the life of the
contract, pricing futures on that stock is very simple. It simply involves multiplying the
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spot price by the cost of carry.
Example
XYZ futures trade on NSE as one, two and three-month contracts. Money can be
borrowed at 10% per annum. What will be the price of a unit of new two-month futures
contract on SBI if no dividends are expected during the two-month period?
1. 1. Assume that the spot price of XYZ is Rs.228.
2. 2. Thus, futures price F = 228e
0.10× (60/365) = Rs.231.90
Pricing stock futures when dividends are expected
When dividends are expected during the life of the futures contract, pricing involves
reducing the cost of carry to the extent of the dividends. The net carrying cost is the cost
of financing the purchase of the stock, minus the present value of dividends obtained
from the stock.
Example: XYZ futures trade on NSE as one, two and three-month contracts. What will be
the price of a unit of new two-month futures contract on XYZ if dividends are expected
during the two-month period?
1. Let us assume that XY Z will be declaring a dividend of Rs. 10 per share after 15
days of purchasing the contract.
2. Assume that the market price of XYZ is Rs. 140.
3. To calculate the futures price, we need to reduce the cost-of-carry to the extent of
dividend received. The amount of dividend received is Rs.10. The dividend is
received 15 days later and hence compounded only for the remainder of 45 days.
4. Thus, futures price =
0.1× (60/365) 0.1× (45/365)
F = 140e -10e = Rs.132.20
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2.18.5.4 Application of Futures
Understanding beta79
The index model suggested by William Sharpe offers insights into portfolio
diversification. It express the excess return on a security or a portfolio as a function of
market factors and non market factors. Market factors are those factors that affect all
stocks and portfolios. These would include factors such as inflation, interest rates,
business cycles etc. Non-market factors would be those factors which are specific to a
company, and do not affect the entire market. For example, a fire breakout in a factory, a
new invention, the death of a key employee, a strike in the factory, etc. The market
factors affect all firms. The unexpected change in these factors cause unexpected changes
in the rates of returns on the entire stock market. Each stock however responds to these
factors to different extents. Beta of a stock measures the sensitivity of the stocks
responsiveness to these market factors. Similarly, Beta of a portfolio, measures the
portfolios responsiveness to these market movements. Given stock betas, calculating
portfolio beta is simple. It is nothing but the weighted average of the stock betas. The
index has a beta of 1.
Hence the movements of returns on a portfolio with a beta of one will be like the index. If
the index moves up by ten percent, my portfolio value will increase by ten percent.
Similarly if the index drops by five percent, my portfolio value will drop by five percent.
A portfolio with a beta of two, responds more sharply to index movements. If the index
moves up by ten percent, the value of a portfolio with a beta of two will move up by
twenty percent. If the index drops by ten percent, the value of a portfolio with a beta of
two, will fall by twenty percent. Similarly, if a portfolio has a beta of 0.75, a ten percent
movement in the index will cause a 7.5 percent movement in the value of the portfolio. In
short, beta is a measure of the systematic risk or market risk of a portfolio. Using index
futures contracts, it is possible to hedge the systematic risk. With this basic
understanding, we look at some applications of index futures. We look here at some
applications of futures contracts. We refer to single stock futures. However since the
79 William F, Sharpe, ‘A Simplified Model of Portfolio Analysis’, Management Science, (1963)
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index is nothing but a security whose price or level is a weighted average of securities
constituting an index, all strategies that can be implemented using stock futures can also
be implemented using index futures.
Hedging: Long security, sell futures
Futures can be used as an effective risk-management tool. Take the case of an investor
who holds the shares of a company and gets uncomfortable with market movements in
the short run. He sees the value of his security falling from Rs.450 to Rs.390. In the
absence of stock futures, he would either suffer the discomfort of a price fall or sell the
security in anticipation of a market upheaval.
With security futures he can minimize his price risk. All he need do is enter into an
offsetting stock futures position, in this case, take on a short futures position. Assume that
the spot price of the security he holds is Rs.390. Two-month futures cost him Rs.402. For
this he pays an initial margin. Now if the price of the security falls any further, he will
suffer losses on the security he holds. However, the losses he suffers on the security, will
be offset by the profits he makes on his short futures position. Take for instance that the
price of his security falls to Rs.350. The fall in the price of the security will result in a fall
in the price of futures. Futures will now trade at a price lower than the price at which he
entered into a short futures position. Hence his short futures position will start making
profits. The loss of Rs.40 incurred on the security he holds, will be made up by the profits
made on his short futures position.
Index futures in particular can be very effectively used to get rid of the market risk of a
portfolio. Every portfolio contains a hidden index exposure or a market exposure. This
statement is true for all portfolios, whether a portfolio is composed of index securities or
not80. In the case of portfolios, most of the portfolio risk is accounted for by index
fluctuations (unlike individual securities, where only 3060% of the securities risk is
accounted for by index fluctuations). Hence a position LONG PORTFOLIO + SHORT
NIFTY can often become one-tenth as risky as the LONG PORTFOLIO position!
80 Markowitz, Harry, ‘Portfolio Selection’, Journal of Finance, (March 1952)
95
Suppose we have a portfolio of Rs. 1 million which has a beta of 1.25. Then a complete
hedge is obtained by selling Rs.1.25 million of Nifty futures.
Hedging does not always make money. The best that can be achieved using hedging is
the removal of unwanted exposure, i.e. unnecessary risk. The hedged position will make
less profits than the unhedged position, half the time. One should not enter into a hedging
strategy hoping to make excess profits for sure; all that can come out of hedging is
reduced risk81.
Speculation: Bullish security, buy futures
Take the case of a speculator who has a view on the direction of the market. He would
like to trade based on this view. He believes that a particular security that trades at
Rs.1000 is undervalued and expects its price to go up in the next two-three months. How
can he trade based on this belief? In the absence of a deferral product, he would have to
buy the security and hold on to it. Assume he buys a 100 shares which cost him one lakh
rupees. His hunch proves correct and two months later the security closes at Rs.1010. He
makes a profit of Rs.1000 on an investment of Rs. 1,00,000 for a period of two months.
This works out to an annual return of 6 percent.
Today a speculator can take exactly the same position on the security by using futures
contracts. Let us see how this works. The security trades at Rs.1000 and the two-month
futures trades at 1006. Just for the sake of comparison, assume that the minimum contract
value is 1,00,000. He buys 100 security futures for which he pays a margin of Rs.20,000.
Two months later the security closes at 1010. On the day of expiration, the futures price
converges to the spot price and he makes a profit of Rs.400 on an investment of
Rs.20,000. This works out to an annual return of 12 percent. Because of the leverage they
provide, security futures form an attractive option for speculators.
81 Bodie, Kane, Marcus and Mohanty, Investments, (New Delhi, Tata McGraw-Hill, 2006), pp. 813-820.
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Speculation: Bearish security, sell futures
Stock futures can be used by a speculator who believes that a particular security is over-
valued and is likely to see a fall in price. How can he trade based on his opinion? In the
absence of a deferral product, there wasn't much he could do to profit from his opinion.
Today all he needs to do is sell stock futures.
Let us understand how this works. Simple arbitrage ensures that futures on an individual
securities move correspondingly with the underlying security, as long as there is
sufficient liquidity in the market for the security. If the security price rises, so will the
futures price. If the security price falls, so will the futures price. Now take the case of the
trader who expects to see a fall in the price of ABC Ltd. He sells one two-month contract
of futures on ABC at Rs.240 (each contact for 100 underlying shares). He pays a small
margin on the same. Two months later, when the futures contract expires, ABC closes at
220. On the day of expiration, the spot and the futures price converges. He has made a
clean profit of Rs.20 per share. For the one contract that he bought, this works out to be
Rs.2000.
Arbitrage: Overpriced futures: buy spot, sell futures
As we discussed earlier, the cost-of-carry ensures that the futures price stay in tune with
the spot price. Whenever the futures price deviates substantially from its fair value,
arbitrage opportunities arise.
If you notice that futures on a security that you have been observing seem overpriced,
how can you cash in on this opportunity to earn riskless profits? Say for instance, ABC
Ltd. trades at Rs.1000. One-month ABC futures trade at Rs.1025 and seem overpriced.
As an arbitrageur, you can make riskless profit by entering into the following set of
transactions.
1. On day one, borrow funds, buy the security on the cash/spot market at 1000.
2. Simultaneously, sell the futures on the security at 1025.
3. Take delivery of the security purchased and hold the security for a month.
4. On the futures expiration date, the spot and the futures price converge. Now
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unwind the position.
5. Say the security closes at Rs.1015. Sell the security.
6. Futures position expires with profit of Rs.10.
7. The result is a riskless profit of Rs.15 on the spot position and Rs.10 on the
futures position.
8. Return the borrowed funds.
When does it make sense to enter into this arbitrage? If your cost of borrowing funds to
buy the security is less than the arbitrage profit possible, it makes sense for you to
arbitrage. This is termed as cash-and-carry arbitrage. Remember however, that exploiting
an arbitrage opportunity involves trading on the spot and futures market. In the real
world, one has to build in the transactions costs into the arbitrage strategy82.
Arbitrage: Underpriced futures: buy futures, sell spot
Whenever the futures price deviates substantially from its fair value, arbitrage
opportunities arise. It could be the case that you notice the futures on a security you hold
seem underpriced. How can you cash in on this opportunity to earn riskless profits? Say
for instance, ABC Ltd. trades at Rs.1000. One-month ABC futures trade at Rs. 965 and
seem underpriced. As an arbitrageur, you can make riskless profit by entering into the
following set of transactions.
1. On day one, sell the security in the cash/spot market at 1000.
2. Make delivery of the security.
3. Simultaneously, buy the futures on the security at 965.
4. On the futures expiration date, the spot and the futures price converge.
Now unwind the position.
5. Say the security closes at Rs.975. Buy back the security.
6. The futures position expires with a profit of Rs.10.
7. The result is a riskless profit of Rs.25 on the spot position and Rs.10 on
the futures position.
82 Bodie et al, Investments, (New Delhi, Tata McGraw-Hill, 2006), pp. 856-58.
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If the returns you get by investing in riskless instruments is more than the return from the
arbitrage trades, it makes sense for you to arbitrage. This is termed as reverse-cash-and-
carry arbitrage. It is this arbitrage activity that ensures that the spot and futures prices stay
in line with the cost-of-carry. As we can see, exploiting arbitrage involves trading on the
spot market. As more and more players in the market develop the knowledge and skills to
do cash-and-carry and reverse cash-and-carry, we will see increased volumes and lower
spreads in both the cash as well as the derivatives market.
2.18.5.5 OPTIONS PAYOFFS
The optionality characteristic of options results in a non-linear payoff for options. In
simple words, it means that the losses for the buyer of an option are limited; however the
profits are potentially unlimited. For a writer, the payoff is exactly the opposite. His
profits are limited to the option premium; however his losses are potentially unlimited.
These non-linear payoffs are fascinating as they lend themselves to be used to generate
various payoffs by using combinations of options and the underlying. We look here at the
six basic payoffs83.
Payoff profile of buyer of asset: Long asset
In this basic position, an investor buys the underlying asset, Nifty for instance, for 2220,
and sells it at a future date at an unknown price, St. Once it is purchased, the investor is
said to be "long" the asset. Figure 4.4 shows the payoff for a long position on the Nifty.
Payoff profile for seller of asset: Short asset
In this basic position, an investor shorts the underlying asset, Nifty for instance, for 2220,
and buys it back at a future date at an unknown price, St. Once it is sold, the investor is
said to be "short" the asset. Figure 4.5 shows the payoff for a short position on the Nifty.
83 Hull, John C. (2006), Fundamentals of Futures and Options Market, Prentice Hall of India, New Delhi, pp. 182-186.
99
Payoff profile for buyer of call options: Long call84
A call option gives the buyer the right to buy the underlying asset at the strike price
specified in the option. The profit/loss that the buyer makes on the option depends on the
spot price of the underlying. If upon expiration, the spot price exceeds the strike price, he
makes a profit. Higher the spot price, more is the profit he makes. If the spot price of the
underlying is less than the strike price, he lets his option expire un-exercised. His loss in
this case is the premium he paid for buying the option. Figure 2.6 gives the payoff for the
buyer of a three month call option (often referred to as long call) with a strike of 2250
bought at a premium of 86.60.
The figure shows the profits/losses from a long position on the index. The investor
bought the index at 2220. If the index goes up, he profits. If the index falls he looses.
Figure 2.6 Payoff for investor who went Long Nifty at 2220
The figure shows the profits/losses from a short position on the index. The investor sold
the index at 2220. If the index falls, he profits. If the index rises, he looses.
84 John C, Hull, Fundamentals of Futures and Options Market, (New Delhi, Prentice Hall of India, 2006), pp. 202-204.
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Figure 2.7 Payoff for buyer of call option
The figure shows the profits/losses for the buyer of a three-month Nifty 2250 call option.
As can be seen, as the spot Nifty rises, the call option is in-the-money. If upon expiration,
Nifty closes above the strike of 2250, the buyer would exercise his option and profit to
the extent of the difference between the Nifty-close and the strike price. The profits
possible on this option are potentially unlimited. However if Nifty falls below the strike
of 2250, he lets the option expire. His losses are limited to the extent of the premium he
paid for buying the option.
Payoff profile for writer of call options: Short call
A call option gives the buyer the right to buy the underlying asset at the strike price
specified in the option. For selling the option, the writer of the option charges a premium.
The profit/loss that the buyer makes on the option depends on the spot price of the
underlying. Whatever is the buyer's profit is the seller's loss. If upon expiration, the spot
price exceeds the strike price, the buyer will exercise the option on the writer. Hence as
the spot price increases the writer of the option starts making losses. Higher the spot
price, more is the loss he makes. If upon expiration the spot price of the underlying is less
than the strike price, the buyer lets his option expire un-exercised and the writer gets to
keep the premium. Figure 2. 7 gives the payoff for the writer of a three month call option
(often referred to as short call) with a strike of 2250 sold at a premium of 86.60.
The figure shows the profits/losses for the seller of a three-month Nifty 2250 call option.
As the spot Nifty rises, the call option is in-the-money and the writer starts making
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losses. If upon expiration, Nifty closes above the strike of 2250, the buyer would exercise
his option on the writer who would suffer a loss to the extent of the difference between
the Nifty-close and the strike price. The loss that can be incurred by the writer of the
option is potentially unlimited, whereas the maximum profit is limited to the extent of the
up-front option premium of Rs.86.60 charged by him.
Figure 2.8: Payoff profile for writer of call options: Short call
Payoff profile for buyer of put options: Long put85
A put option gives the buyer the right to sell the underlying asset at the strike price
specified in the option. The profit/loss that the buyer makes on the option depends on the
spot price of the underlying. If upon expiration, the spot price is below the strike price, he
makes a profit. Lower the spot price, more is the profit he makes. If the spot price of the
underlying is higher than the strike price, he lets his option expire un-exercised. His loss
in this case is the premium he paid for buying the option. Figure 2. 8 gives the payoff for
the buyer of a three month put option (often referred to as long put) with a strike of 2250
bought at a premium of 61.70.
The figure shows the profits/losses for the buyer of a three-month Nifty 2250 put option.
As can be seen, as the spot Nifty falls, the put option is in-the-money. If upon expiration,
Nifty closes below the strike of 2250, the buyer would exercise his option and profit to
85 John C, Hull, Fundamentals of Futures and Options Market, (New Delhi, Prentice Hall of India, 2006), pp. 206-10.
102
the extent of the difference between the strike price and Nifty-close. The profits possible
on this option can be as high as the strike price. However if Nifty rises above the strike of
2250, he lets the option expire. His losses are limited to the extent of the premium he paid
for buying the option.
Figure 2.9 Payoff for buyer of put option
Payoff profile for writer of put options: Short put
A put option gives the buyer the right to sell the underlying asset at the strike price
specified in the option. For selling the option, the writer of the option charges a premium.
The profit/loss that the buyer makes on the option depends on the spot price of the
underlying. Whatever is the buyer's profit is the seller's loss. If upon expiration, the spot
price happens to be below the strike price, the buyer will exercise the option on the
writer. If upon expiration the spot price of the underlying is more than the strike price, the
buyer lets his option unexercised and the writer gets to keep the premium. Figure 4.9
gives the payoff for the writer of a three month put option (often referred to as short put)
with a strike of 2250 sold at a premium of 61.70.
The figure shows the profits/losses for the seller of a three-month Nifty 2250 put option.
As the spot Nifty falls, the put option is in-the-money and the writer starts making losses.
If upon expiration, Nifty closes below the strike of 2250, the buyer would exercise his
option on the writer who would suffer a loss to the extent of the difference between the
strike price and Nifty-close. The loss that can be incurred by the writer of the option is a
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maximum extent of the strike price (Since the worst that can happen is that the asset price
can fall to zero) whereas the maximum profit is limited to the extent of the up-front
option premium of Rs.61.70 charged by him.
Figure 2.10: Payoff for writer of put option
2.18.5.6 PRICING OPTIONS
An option buyer has the right but not the obligation to exercise on the seller. The worst
that can happen to a buyer is the loss of the premium paid by him. His downside is
limited to this premium, but his upside is potentially unlimited. This optionality is
precious and has a value, which is expressed in terms of the option price. Just like in
other free markets, it is the supply and demand in the secondary market that drives the
price of an option86.
There are various models which help us get close to the true price of an option. Most of
these are variants of the celebrated Black-Scholes model for pricing European options.
Today most calculators and spread-sheets come with a built-in Black-Scholes options
pricing formula so to price options we don't really need to memorize the formula. All we
need to know is the variables that go into the model. The Black-Scholes formulas for the
86 R C, Merton, ‘The Relationship between Put and Call Prices: Comment’, Journal of Finance, (1973) 183-84.
104
prices of European calls and puts on a non-dividend paying stock are87:
• The Black/Scholes equation is done in continuous time. This requires continuous
compounding. The “r” that figures in this is ln(l + r). Example: if the interest rate per
annum is 12%, you need to use ln
1.12 or 0.1133, which is the continuously compounded equivalent of 12% per annum.
. • N() is the cumulative normal distribution. N(d1) is called the delta of the
option which is a measure of change in option price with respect to change in the price of
the underlying asset.
. • s a measure of volatility, is the annualized standard deviation of
continuously compounded returns on the underlying. When daily sigma are given, they
need to be converted into annualized sigma.
87 John C, Hull, Fundamentals of Futures and Options Market, (New Delhi, Prentice Hall of India, 2006), pp. 232-46.
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2.18.5.7 APPLICATION OF OPTIONS
We look here at some applications of options contracts. We refer to single stock options
here. However since the index is nothing but a security whose price or level is a weighted
average of securities constituting the index, all strategies that can be implemented using
stock futures can also be implemented using index options.
Hedging: Have underlying buy puts
Owners of stocks or equity portfolios often experience discomfort about the overall stock
market movement. As an owner of stocks or an equity portfolio, sometimes you ma y
have a view that stock prices will fall in the near future. At other times you may see that
the market is in for a few days or weeks of massive volatility, and you do not have an
appetite for this kind of volatility. The union budget is a common and reliable source of
such volatility: market volatility is always enhanced for one week before and two weeks
after a budget. Many investors simply do not want the fluctuations of these three weeks.
One way to protect your portfolio from potential downside due to a market drop is to buy
insurance using put options88.
Index and stock options are a cheap and easily implementable way of seeking this
insurance. The idea is simple. To protect the value of your portfolio from falling below
a particular level, buy the right number of put options with the right strike price. If you
are only concerned about the value of a particular stock that you hold, buy put options
on that stock. If you are concerned about the overall portfolio, buy put options on the
index. When the stoc k price falls your stock will lose value and the put options bought
by you will gain, effectively ensuring that the total value of your stock plus put does
not fall below a particular level. This level depends on the strike price of the stock
options chosen by you. Similarly when the index falls, your portfolio will lose value
and the put options bought by you will gain, effectively ensuring that the value of your
portfolio does not fall below a particular level. This level depends on the strike price of
88 J R, Verma, ‘Equity Options in India: An Empirical Examination’, Derivative Markets In India, (New Delhi, Tata McGraw-Hill, 2003), pp. 47-51.
106
the index options chosen by you.
Portfolio insurance using put options is of particular interest to mutual funds who
already own well-diversified portfolios. By buying puts, the fund can limit its
downside in case of a market fall.
Speculation: Bullish security, buy calls or sell puts
There are times when investors believe that security prices are going to rise. For
instance, after a good budget, or good corporate results, or the onset of a stable
government. How does one implement a trading strategy to benefit from an upward
movement in the underlying security? Using options there are two ways one can do
this:
1. 1. Buy call options; or
2. 2. Sell put options
We have already seen the payoff of a call option. The downside to the buyer of the call
option is limited to the option premium he pays for buying the option. His upside
however is potentially unlimited. Suppose you have a hunch that the price of a particular
security is going to rise in a months time. Your hunch proves correct and the price does
indeed rise, it is this upside that you cash in on. However, if your hunch proves to be
wrong and the security price plunges down, what you lose is only the option premium.
Having decided to buy a call, which one should you buy? Table 4.1 gives the premia for
one month calls and puts with different strikes. Given that there are a number of one-
month calls trading, each with a different strike price, the obvious question is: which
strike should you choose? Let us take a look at call options with different strike prices.
Assume that the current price level is 1250, risk-free rate is 12% per year and volatility of
the underlying security is 30%. The following options are available:
1. 1. A one month call with a strike of 1200.
2. 2. A one month call with a strike of 1225.
3. 3. A one month call with a strike of 1250.
4. 4. A one month call with a strike of 1275.
5. 5. A one month call with a strike of 1300.
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Which of these options you choose largely depends on how strongly you feel about the
likelihood of the upward movement in the price, and how much you are willing to lose
should this upward movement not come about. There are five one-month calls and five
one-month puts trading in the market. The call with a strike of 1200 is deep in-the-money
and hence trades at a higher premium. The call with a strike of 1275 is out-of-the-money
and trades at a low premium. The call with a strike of 1300 is deep-out-of-money. Its
execution depends on the unlikely event that the underlying will rise by more than 50
points on the expiration date. Hence buying this call is basically like buying a lottery.
There is a small probability that it may be in-the-money by expiration, in which case the
buyer will make profits. In the more likely event of the call expiring out-of-the-money,
the buyer simply loses the small premium amount of Rs.27.50.
As a person who wants to speculate on the hunch that prices may rise, you can also do so
by selling or writing puts. As the writer of puts, you face a limited upside and an
unlimited downside. If prices do rise, the buyer of the put will let the option expire and
you will earn the premium. If however your hunch about an upward movement proves to
be wrong and prices actually fall, then your losses directly increase with the falling price
level. If for instance the price of the underlying falls to 1230 and you've sold a put with
an exercise of 1300, the buyer of the put will exercise the option and you'll end up losing
Rs.70. Taking into account the premium earned by you when you sold the put, the net
loss on the trade is Rs.5.20.
Having decided to write a put, which one should you write? Given that there are a
number of one-month puts trading, each with a different strike price, the obvious question
is: which strike should you choose? This largely depends on how strongly you feel about
the likelihood of the upward movement in the prices of the underlying. If you write an at-
the-money put, the option premium earned by you will be higher than if you write an out-
of-the-money put. However the chances of an at-the-money put being exercised on you
are higher as well.
The spot price is 1250. There are five one-month calls and five one-month puts trading in
the market. The call with a strike of 1200 is deep in-the-money and hence trades at a
higher premium. The call with a strike of 1275 is out-of-the-money and trades at a low
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premium. The call with a strike of 1300 is deep-out-of-money. Its execution depends on
the unlikely event that the price of underlying will rise by more than 50 points on the
expiration date. Hence buying this call is basically like buying a lottery. There is a small
probability that it may be in-the-money by expiration in which case the buyer will profit.
In the more likely event of the call expiring out-of-the-money, the buyer simply loses the
small premium amount of Rs. 27.50. Figure 4.10 shows the payoffs from buying calls at
different strikes. Similarly, the put with a strike of 1300 is deep in-the-money and trades
at a higher premium than the at-the-money put at a strike of 1250. The put with a strike of
1200 is deep out-of-the-money and will only be exercised in the unlikely event that
underlying falls by 50 points on the expiration date.
Table 2.3: Buy Calls and Sell Puts
Underlying Strike price of
option
Call Premium(Rs.) Put Premium(Rs.)
1250 1200 80.10 18.15
1250 1225 63.65 26.50
1250 1250 49.45 37.00
1250 1275 37.50 49.80
1250 1300 27.50 64.80
At a price level of 1250, one opt ion is in-the-money and one is out-of-the-money. As
expected, the in-the-money option fetches the highest premium of Rs.64.80 whereas the
out-of-the-money option has the lowest premium of Rs. 18.15.
Speculation: Bearish security, sell calls or buy puts
Do you sometimes think that the market is going to drop? That you could make a profit
by adopting a position on the market? Due to poor corporate results, or the instability of
the government, many people feel that the stocks prices would go down. How does one
implement a trading strategy to benefit from a downward movement in the market?
Today, using options, you have two choices:
1. 1. Sell call options; or
2. 2. Buy put options
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We have already seen the payoff of a call option. The upside to the writer of the call
option is limited to the option premium he receives upright for writing the option. His
downside however is potentially unlimited. Suppose you have a hunch that the price of a
particular security is going to fall in a months time. Your hunch proves correct and it
does indeed fall, it is this downside that you cash in on. When the price falls, the buyer of
the call lets the call expire and you get to keep the premium. However, if your hunch
proves to be wrong and the market soars up instead, what you lose is directly proportional
to the rise in the price of the security.
The figure shows the profits/losses for a buyer of calls at various strikes. The in-the-
money option with a strike of 1200 has the highest premium of Rs.80.10 whereas the out-
of-the-money option with a strike of 1300 has the lowest premium of Rs.27.50.
Figure 2.11 Payoff for writer of put options at various strikes
The figure shows the profits/losses for a writer of puts at various strikes. The in-the-
money option with a strike of 1300 fetches the highest premium of Rs.64.80 whereas the
out-of-the-money option with a strike of 1200 has the lowest premium of Rs. 18.15.
Having decided to write a call, which one should you write? Table 4.2 gives the
premiums for one month calls and puts with different strikes. Given that there are a
number of one-month calls trading, each with a different strike price, the obvious
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question is: which strike should you choose? Let us take a look at call options with
different strike prices. Assume that the current stock price is 1250, risk-free rate is 12%
per year and stock volatility is 30%. You could write the following options:
1. 1. A one month call with a strike of 1200.
2. 2. A one month call with a strike of 1225.
3. 3. A one month call with a strike of 1250.
4. 4. A one month call with a strike of 1275.
5. 5. A one month call with a strike of 1300.
Which of this options you write largely depends on how strongly you feel about the
likelihood of the downward movement of prices and how much you are willing to lose
should this downward movement not come about. There are five one-month calls and five
one-month puts trading in the market. The call with a strike of 1200 is deep in-the-money
and hence trades at a higher pre mium. The call with a strike of 1275 is out-of-the-money
and trades at a low premium. The call with a strike of 1300 is deep-out-of-money. Its
execution depends on the unlikely event that the stock will rise by more than 50 points on
the expiration date. Hence writing this call is a fairly safe bet. There is a small probability
that it may be in-the-money by expiration in which case the buyer exercises and the
writer suffers losses to the extent that the price is above 1300. In the more likely event of
the call expiring out-of-the-money, the writer earns the premium amount ofRs.27.50.
As a person who wants to speculate on the hunch that the market may fall, you can also
buy puts. As the buyer of puts you face an unlimited upside but a limited downside. If the
price does fall, you profit to the extent the price falls below the strike of the put
purchased by you. If however your hunch about a downward movement in the market
proves to be wrong and the price actually rises, all you lose is the option premium. If for
instance the security price rises to 1300 and you've bought a put with an exercise of 1250,
you simply let the put expire. If however the price does fall to say 1225 on expiration
date, you make a neat profit of Rs.25.
Having decided to buy a put, whic h one should you buy? Given that there are a number
of one-month puts trading, each with a different strike price, the obvious question is:
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which strike should you choose? This largely depends on how strongly you feel about the
likelihood of the downward movement in the market. If you buy an at-the-money put, the
option premium paid by you will by higher than if you buy an out-of-the-money put.
However the chances of an at-the-money put expiring in-the-money are higher as well.
The spot price is 1250. There are five one-month calls and five one-month puts trading in
the market. The call with a strike of 1200 is deep in-the-money and hence trades at a
higher premium. The call with a strike of 1275 is out-of-the-money and trades at a low
premium. The call with a strike of 1300 is deep-out-of-money. Its execution depends on
the unlikely event that the price will rise by more than 50 points on the expiration date.
Hence writing this call is a fairly safe bet. There is a small probability that it may be in-
the-money by expiration in which case the buyer exercises and the writer suffers losses to
the extent that the price is above 1300. In the more likely event of the call expiring out-
of-the-money, the writer earns the premium amount of Rs.27.50. Figure 4.12 shows the
payoffs from writing calls at different strikes. Similarly, the put with a strike of 1300 is
deep in-the-money and trades at a higher premium than the at-the-money put at a strike of
1250. The put with a strike of 1200 is deep out-of-the-money and will only be exercised
in the unlikely event that the price falls by 50 points on the expiration date. The choice of
which put to buy depends upon how much the speculator expects the market to fall.
Table 2.4: Sell calls and Buy Puts
Price Strike price of Call Put Premium(Rs.)
option Premium(Rs.)
1250 1200 80.10 18.15
1250 1225 63.65 26.50
1250 1250 49.45 37.00
1250 1275 37.50 49.80
1250 1300 27.50 64.80
The figure shows the profits/losses for a seller of calls at various strike prices. The in-the-
money option has the highest premium of Rs.80.10 whereas the out-of-the-money option
has the lowest premium of Rs. 27.50.
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Figure 2.12 Payoff for seller of call option at various strikes
The figure shows the profits/losses for a buyer of puts at various strike prices. The in-the-
money option has the highest premium of Rs.64.80 whereas the out-of-the-money option
has the lowest premium of Rs. 18.50.
Figure 2.13 Payoff for buyer of put options at various strikes
Bull spreads - Buy a call and sell another
There are times when you think the market is going to rise over the next two months,
however in the event that the market does not rise, you would like to limit your downside.
One way you could do this is by entering into a spread. A spread trading strategy
involves taking a position in two or more options of the same type, that is, two or more
calls or two or more puts. A spread that is designed to profit if the price goes up is called
a bull spread.
How does one go about doing this? This is basically done utilizing two call options
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having the same expiration date, but different exercise prices. The buyer of a bull spread
buys a call with an exerc ise price below the current index level and sells a call option
with an exercise price above the current index level. The spread is a bull spread because
the trader hopes to profit from a rise in the index. The trade is a spread because it
involves buying one option and selling a related option. What is the advantage of entering
into a bull spread? Compared to buying the underlying asset itself, the bull spread with
call options limits the trader's risk, but the bull spread also limits the profit potential.
The figure shows the profits/losses for a bull spread. As can be seen, the payoff obtained
is the sum of the payoffs of the two calls, one sold at Rs.40 and the other bought at Rs.80.
The cost of setting up the spread is Rs.40 which is the difference between the call
premium paid and the call premium received. The downside on the position is limited to
this amount. As the index moves above 3800, the position starts making profits (cutting
losses) until the index reaches 4200. Beyond 4200, the profits made on the long call
position get offset by the losses made on the short call position and hence the maximum
profit on this spread is made if the index on the expiration day closes at 4200. Hence the
payoff on this spread lies between -40 to 360. Who would buy this spread? Somebody
who thinks the index is going to rise, but not above 4200. Hence he does not want to buy
a call at 3800 and pay a premium of 80 for an upside he believes will not happen.
Figure 2.14 Payoff for a bull spread created using call options
In short, it limits both the upside potential as well as the downside risk. The cost of the
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bull spread is the cost of the option that is purchased, less the cost of the option that is
sold. Table 4.3 gives the profit/loss incurred on a spread position as the index changes.
Figure 4.14 shows the payoff from the
bull spread.
Broadly, we can have three types of bull spreads:
1. 1. Both calls initially out-of-the-money.
2. 2. One call initially in-the-money and one call initially out-of-the-money,
and
3. 3. Both calls initially in-the-money.
The decision about which of the three spreads to undertake depends upon how much risk
the investor is willing to take. The most aggressive bull spreads are of type 1. They cost
very little to set up, but have a very small probability of giving a high payoff.
Expiration day cash flows for a Bull spread using two-month calls
The table shows possible expiration day profit for a bull spread created by buying calls at
a strike of 3800 and selling calls at a strike of 4200. The cost of setting up the spread is
the call premium paid (Rs.80) minus the call premium received (Rs.40), which is Rs.40.
This is the maximum loss that the position will make. On the other hand, the maximum
profit on the spread is limited to Rs.360. Beyond an index level of 4200, any profits made
on the long call position will be cancelled by losses made on the short call position,
effectively limiting the profit on the combination.
Table 2.5: Bull Spread
Nifty Buy Jan 3800
Call
Sell Jan 4200 Call Cash
Flow
Profit&Loss
(Rs.)
3700 0 0 0 -40
3750 0 0 0 -40
3800 0 0 0 -40
3850 +50 0 50 +10
3900 +100 0 100 +60
3950 +150 0 150 +110
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4000 +200 0 200 +160
4050 +250 0 250 +210
4100 +300 0 300 +260
4150 +350 0 350 +310
4200 +400 0 400 +360
4250 +450 -50 400 +360
4300 +500 -100 400 +360
Bear spreads - sell a call and buy another
There are times when you think the market is going to fall over the next two months.
However in the event that the market does not fall, you would like to limit your
downside. One way you could do this is by entering into a spread. A spread trading
strategy involves taking a position in two or more options of the same type, that is, two or
more calls or two or more puts. A spread that is designed to profit if the price goes down
is called a bear spread.
How does one go about doing this? This is basically done utilizing two call options
having the same expiration date, but different exercise prices. How is a bull spread
different from a bear spread? In a bear spread, the strike price of the option purchased is
greater than the strike price of the option sold. The buyer of a bear spread buys a call with
an exercise price above the current index level and sells a call option with an exercise
price below the current index level. The spread is a bear spread because the trader hopes
to profit from a fall in the index. The trade is a spread because it involves buying one
option and selling a related option. What is the advantage of entering into a bear spread?
Compared to buying the index itself, the bear spread with call options limits the trader's
risk, but it also limits the profit potential. In short, it limits both the upside potential as
well as the downside risk.
A bear spread created using calls involves initial cash inflow since the price of the call
sold is greater than the price of the call purchased. Table 4.4 gives the profit/loss incurred
on a spread position as the index changes. Figure 4.15 shows the payoff from the bear
116
spread.
Broadly we can have three types of bear spreads:
1. 1. Both calls initially out-of-the-money.
2. 2. One call initially in-the-money and one call initially out-of-the-money, and
3. 3. Both calls initially in-the-money.
The decision about which of the three spreads to undertake depends upon how much risk
the investor is willing to take. The most aggressive bear spreads are of type 1. They cost
very little to set up, but have a very small probability of giving a high payoff. As we
move from type 1 to type 2 and from type 2 to type 3, the spreads become more
conservative and cost higher to set up. Bear spreads can also be created by buying a put
with a high strike price and selling a put with a low strike price.
The figure shows the profits/losses for a bear spread. As can be seen, the payoff obtained
is the sum of the payoffs of the two calls, one sold at Rs. 150 and the other bought at
Rs.50. The maximum gain from setting up the spread is Rs. 100 which is the difference
between the call premium received and the call premium paid. The upside on the position
is limited to this amount. As the index moves above 3800, the position starts making
losses (cutting profits) until the spot reaches 4200. Beyond 4200, the profits made on the
long call position get offset by the losses made on the short call position.
The maximum loss on this spread is made if the index on the expiration day closes at
2350. At this point the loss made on the two call position together is Rs.400 i.e. (4200-
3800).
However the initial inflow on the spread being Rs.100, the net loss on the spread turns
out to be 300. The downside on this spread position is limited to this amount. Hence the
payoff on this spread lies between +100 to -300.
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Figure 2.15 Payoff for a bear spread created using call options
Expiration day cash flows for a Bear spread using two-month calls
The table shows possible expiration day profit for a bear spread created by selling one
market lot of calls at a strike of 3800 and buying a market lot of calls at a strike of 4200.
The maximum profit obtained from setting up the spread is the difference between the
premium received for the call sold (Rs. 150) and the premium paid for the call bought
(Rs.50) which is Rs. 100.
In this case the maximum loss obtained is limited to Rs.300. Beyond an index level of
4200, any profits made on the long call position will be canceled by losses made on the
short call position, effectively limiting the profit on the combination.
Table 2.6: Bear Spread
Nifty Buy Jan 4200 Call Sell Jan 3800
Call
Cash Flow Profit&Loss
(Rs.)
3700 0 0 0 +100
3750 0 0 0 +100
3800 0 0 0 +100
3850 0 -50 -50 +50
3900 0 -100 -100 0
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3950 0 -150 -150 -50
4000 0 -200 -200 -100
4050 0 -250 -250 -150
4100 0 -300 -300 -200
4150 0 -350 -350 -250
4200 0 -400 -400 -300
4250 +50 -450 -400 -300
4300 +100 -500 -400 -300
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CHAPTER 3
DERIVATIVES – REVIEW OF LITERATURE.
3.1 An Introduction
3.2 Stabilization Arguments
3.3 Destabilization Arguments
3.4 Investors’ Perceptions about Derivatives
120
3.1 AN INTRODUCTION
Derivatives are traded for a variety of reasons. Derivatives enable a trader to hedge some
pre-existing risk by taking positions in derivatives markets that offset potential losses in
the underlying or spot market. In India, most derivatives users describe themselves as
hedgers and Indian laws generally require that derivatives be used for hedging purposes
only. Another motive for derivatives trading is speculation (i.e. taking positions to profit
from anticipated price movements). In practice, it may be difficult to distinguish whether
a particular trade was for hedging or speculation, and active markets require the
participation of both hedgers and speculators.
It is argued that derivatives encourage speculation, which destabilizes the spot market.
The alleged destabilization takes the form of higher stock market volatility. The reason
behind it is informational effect of the futures trading. Futures trading can alter the
available information for two reasons: first, futures trading attract additional traders in the
market; second, as transaction costs in the futures market are lower than those in the spot
market, new information may be transmitted to the futures market more quickly. Thus,
future markets provide an additional route by which information can be transmitted to the
spot markets and therefore, increased spot market volatility may simply be a consequence
of the more frequent arrival and more rapid processing of information.
Raju and Ghosh (2004)89 have expressed view for the consideration of volatility in the
Indian stock market as tools of analysis of risk factors. Stock prices and their volatility
add to the concern of attention. The growing linkages of national markets in currency,
commodity and stock with world markets and existence of common players, have given
volatility a new property – that of its speedy transmissibility across markets.
Among the general public, the term volatility is simply synonymous with risk. In their
view, high volatility is to be deplored, because it means that security values are not
89M.T, Raju, and A. Ghosh, ‘Stock MarketVolatility – International Comparison’, Working Paper Series No.8, SEBI. (2004)
121
dependable and the capital markets are not functioning as well as they should. Merton
Miller (1991) the winner of the 1990 Nobel Prize in economics - writes in his book
"Financial Innovation and Market Volatility" …. “By volatility public seems to mean
days when large market movements, particularly down moves, occur. These precipitous
market wide price drops cannot always be traced to a specific news event.... The public
takes a more deterministic view of stock prices; if the market crashes, there must be a
specific reason.” (Cited in Raju and Ghosh 2004).
The volatility on the Indian stock exchanges may be thought of as having two
components: The volatility arising due to information based price changes and Volatility
arising due to noise trading/ speculative trading, i.e., destabilizing volatility. As a
concept, volatility is simple and intuitive.
In a large scale, the success of derivatives trading will depend on the choice of products
to be traded in the markets. The popularly traded and usual types of derivatives are
futures and options. The products to be traded in the stock markets need to have the
following characteristics which are mentioned by Tsetsekos Varangis (2000)90:
......a sufficiently higher as well as lower level of price volatility to attract hedgers
or speculators, a significant amount of money for speculative motive at a certain level of
risk; a significant number of domestic market participants—and possibly buyers and
sellers from abroad; a large number of producers, processors, and banks interested in
using derivatives contracts (that is, enough speculators to provide additional liquidity);
and a weak correlation between the price of the underlying asset and the price of the
already-traded derivatives contract(s) in other exchanges (basis risk).
Introduction of derivatives in the Indian capital market was initiated by the Government
following L C Gupta Committee Report on Derivatives in December 1997. The report
suggested the introduction of stock index futures in the first place to be followed by other
90 Tsetsekos, George and Panos Varangis,, ‘Structuring Derivatives ’ Working paper, (Honolulu., Finance Management Asociation,2000)
122
products once the market matures. Following the recommendations and pursuing the
integration policy, futures on benchmark indices (Sensex and Nifty 50) were introduced
in June 2000. The policy was followed by introduction of index options on indices in
June 2001, followed by options on individual stocks in July 2001. Stock futures were
introduced on individual stocks in November, 2001 (Nath 2003)91
By definition, derivatives are the future contracts whose value depends upon the
underlying assets. When derivatives are introduced in the stock market, the underlying
asset may be anything as component of stock market like, stock prices or market indices,
interest rates, etc. Derivatives products are specialised contracts92 which signify an
agreement or an option to buy or sell the underlying asset to extend up to the maturity
time in the future at a prearranged price.
Only futures and options are used in this analysis, so these are introduced in brief.
Futures: A futures contract is an agreement between two parties to buy or sell an asset at
a certain time in the future at a certain price. Presently Index futures on S&P CNX
NIFTY and CNX IT, Stock futures on certain specified Securities and Interest Rate
Futures are available for trading at NSE. All the futures contracts are settled in cash. A
futures contract is a forward contract which trades on an exchange. Futures markets
feature a series of innovations in how trading is organised. (Shah Thomas 2000)93
Options: An Option is a contract which gives the right, but not an obligation, to buy or
sell the underlying at a stated date and at a stated price. While a buyer of an option pays
the premium and buys the right to exercise his option, the writer of an option is the one
91 G C Nath, and Tulsi, ‘Derivatives and its impact on spot market’, Derivative Markets, IUP, IV, 3, (2003), 24-25. 92 The contract has a fixed expiry period mostly in the range of 3 to 12 months from the date of commencement of the contract. The value of the contract depends on the expiry period and also on the price of the underlying asset 93 Thomas, Susan, ‘Derivative Markets in in India 2003’, (New Delhi , Tata McGraw-Hill Series, 2003) , pp. 2-12
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who receives the option premium and therefore obliged to sell/buy the asset if the buyer
exercises it on him.
The above description about the derivatives creates a research problem that need be
reported. What is the impact of derivatives trading on the stock market risk and return in
practice? The theoretical literature on derivatives trading is of the view that derivatives
trading increase the efficiency of the stock market through minimising the risk, but the
opposite effect may also be caused by derivatives trading.
Derivatives trading in the stock market have been a subject of enthusiasm of research in
the field of finance. Derivatives trading have two attributes on the basis of its
effectiveness. So there have often been contrary views among the researchers of what
may be the impact of derivatives trading. According to the nature of this instrument it is
argued that this could enhance the market efficiency by establishing the market. There are
many empirical findings for both there roles of derivatives trading. Many theories have
been developed about the pros and cons of the impact of derivatives trading in the stock
market. A common agreement has been found among the studies that the introduction of
derivatives products, specially the equity index futures enables traders to transact large
volumes at much lower transaction costs relative to the cash market.
A major theoretical argument for the benefit of derivatives trading is that it reduces the
volatility of the stock market. The logic is that it reduces the asymmetric information
among the investors and information reduces the speculation in the trading system. A
variety of theoretical arguments have been advanced over the years to explain why
speculative trading in general, or the existence of derivatives markets in particular, might
affect the volatility of the underlying asset market. In recent past, the volatility of stock
returns has been a major topic in finance literature. Empirical researchers have tried to
find a pattern in stock return movements or factors determining these movements.
Generally, volatility is considered as a measurement of risk in the stock market return and
a lot of discussions have taken place about the nature of stock return volatility. Therefore,
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understanding factors that affect stock return volatility is an imperative task in many
ways.
A numbers of theoretical and empirical studies have been done on the impact of the
introduction of derivatives in the stock markets on the stock return volatility. The studies
are concerned with both the developed as well as developing countries. There are two
sets of views according to the theoretical as well as empirical findings. One is of the view
that introduction of derivatives has increased the volatility and market performance,
through forwarding its speculative roles and the other view is that the introduction of
derivatives has reduced the volatility in the stock market thus increasing the stability of
the stock market.
The behaviour of volatility in the equity market in India, for the pre and post derivatives
period, has been examined using conditional variance for the period of 1999-2003 in
(Agrawal, 1998)94. He modeled conditional volatility using different method such as
GARCH (1,1). He has considered 20 stocks randomly from the Nifty and Junior Nifty
basket as well as benchmark indices itself. As result, he observed that for most of the
stocks, the volatility came down in the post-derivative trading period. All these methods
suggest that the volatility of the market as measured by benchmark indices like S&P
CNX Nifty and Nifty Junior have fallen in the post-derivatives period.
The impacts of the introduction of the derivatives contracts such as Nifty futures and
options contracts on the underlying spot market volatility have been examined using a
model that captures the heteroskedasticity in returns that is recognised as the Generalised
Auto Regressive Conditional Heteroskedasticity (GARCH) Model in Shenbagaraman
(2003)95. She used the daily closing prices for the period 5th Oct. 1995 to 31st Dec. 2002
for the CNX Nifty the Nifty Junior and S&P500 returns. Results indicate that derivatives
94 Agrwal R, ‘Stock Index Futures and Cash market Volitilty’, Review of Futures Marekt, 7, (1988), 290-299. 95 Shenbagaraman Premalata, "Do Futures and Options trading increase stock market volatility" NSE
NEWS Letter (Mumbai, National Stock Exchange of India, January 2003.)
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introduction has had no significant impact on spot market volatility but the nature of the
GARCH process has changed after the introduction of the futures trading.
Both theoretical and empirical aspect of the question of how the speculation, in general,
and derivative securities in particular, effects the underlying asset markets has been
explained in Mayhew (2000)96. The theoretical research has revealed that there are many
different aspects of the relationship between cash and derivative markets. Although many
models predict that derivatives should have a stabilizing effect, this result normally
requires restrictive assumptions. At the end of the day, the theoretical literature gives
ambiguous predictions about the effects of derivatives markets.
Price discovery and volatility have been examined in the context of introduction of Nifty
futures at the National Stock Exchange (NSE) in June 2000 applying Cointegration and
Generalised Auto Regressive Conditional Heteroscedasticity (GARCH) techniques
respectively from January1998 to October 2002 in Raju and Karande (2003)97. Their
finding suggests that the introduction of futures has reduced volatility in the cash market.
The impact of trading in the Dow Jones Industrial Average index futures and futures
options on the conditional volatility of component stocks has been examined in Rahman
(2001)98. The conditional volatility of intraday returns for each stock before and after the
introduction of derivatives is estimated with the GARCH model. Estimated parameters of
conditional volatility in pre-futures and post-futures periods are then compared to
determine if the estimated parameters have changed significantly after the introduction of
various derivatives. The data for this study consist of transaction prices from the 30
stocks comprising the DJIA. Transaction prices for April through June 1997 (pre-futures 96 Stewart Mayhew, “The Impact of Derivatives on Cash Markets: What Have We Learned?” , Journal of
Finance, Terry College of Business, University of Georgia, (February,2000,14-17. 97 M. T Raju. and Kiran Karande, "Price Discovery and Volatility on NSE Futures Market" Securities and Exchange Board of India, Working Paper Series, 7, (March. 2003) 98 Rahman Shafiqur, "The introduction of derivatives on the Dow Jones Industrial Average and their
impact on the volatility of component stocks" The Journal of Futures Markets, 21, 7, (July 2001), p. 63.
126
period) and April through June 1998 (post-futures period) are used. The results suggest
that the introduction of index futures and options on the DJIA has produced no structural
changes in the conditional volatility of component stocks. The null hypothesis of no
change in conditional volatility from pre futures to post futures periods cannot be
rejected.
Gupta (2002)99 has examined the impact of index futures introduction on stock market
volatility. Further, he has also examined the relative volatility of spot market and futures
market. He has used daily price data (high, low, open and close) for BSE Sensex and
S&P CNX Nifty Index from June 1998 to June 2002. Similar data from June 9, 2000 to
March 31, 2002 have also been used for BSE Index Futures and from June 12, 2000 to
June 30, 2002 for the Nifty Index Futures. He has used four measures of volatility the
first is based upon close-to-close prices, the second is based upon open-to-open prices,
the third is Parkinson’s Extreme Value Estimator, and the fourth is Garman-Klass
measure volatility (GKV). The empirical results indicate that the over-all volatility of the
underlying stock market has declined after the introduction of index futures on both the
indices.
The impact of the introduction of index futures on the volatility of stock market in India
was examined employing daily data of Sensex and Nifty CNX for period of Jan 1997-
March 2003 in Bandivadekar and Ghosh (2005)100. The return volatility has been
modeled using GARCH framework. They found strong relationship between information
of introduction of derivatives and return volatility. They have concluded that the
introduction of derivatives has reduced the volatility of the stock market. The same study
was done by Hetamsaria and Swain (2003)101. they have examined the impact of the
introduction of index futures on the volatility of stock market in India applying regression
99 O.P. Gupta, "Effect of Introduction of Index Futures on Stock Market Volatility: The Indian Evidence" UTI Capital Market Conference Paper, (Mumbai, 2002) 100 Bandivadekar Snehal and Ghosh Saurabh, "Derivatives and Volatility on Indian Stock Markets",
Reserve Bank of India, Occasional Papers. (2005) 101 Hetamsaria Nupur and Niranjan Swain, "Impact of Introduction of Futures Market on the Spot Market: An Empirical Study" the ICFAI Journal of Applied Finance, 9, 8, (November, 2003), 34-37.
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analysis. They have used Nifty 50 index price data for the period of Jan 1998 - March
2003. They found that the volatility of the Nifty return has declined after the introduction
of index futures.
Darrat, Rahman, and Zhong (2002)102 have examined the impact of the introduction of
index futures on the volatility of stock market in India and causal relationship between
volume in the futures market and spot market. They have used EGARCH approach and
Granger Causality (G C) test. Their finding suggests that index futures trading may not be
blamed for the increasing volatility in the spot market. They found that volatility in the
spot market has produced volatility in the futures market.
Board, Sandamann and Sutcliffe (2001)103, have tested the hypothesis that increases in
the futures market trading activity increases spot market price volatility. They used the
GARCH model and Schewert Model and found that the result does not support the
hypothesis. The data samples are taken from the U K market. Jeanneau and Micu
(2003)104 have explained that information based or speculative transaction also creates a
link between volatility and activity in asset and derivatives market. This link depends in
part on whether the new information is private or public and on the type of asset traded.
In theory, the arrival of new private information should be reflected in a rise in the
volatility of return and trading volumes in single equity and equity related futures and
options.
The majority of studies have employed the standard ARCH or GARCH model to
examine volatility shifting. Mostly the findings are supporting the hypothesis that
introduction of derivatives has reduced the market volatility. These studies use daily
102 Darat Ali, Shafiqur Rahman, and Maosen Zhong, "On The Role of Futures Trading in Spot Market Fluctuations: Perpetrator of Volatility or Victim of Regret?" The Journal of Financial Research, XXV, 3, (2002),431-444. 103 Board Jhon, Sandamann Gleb and Sutcliffe Charles, “The Effect of Futures Market Volume on Spot Market Volatility", Journal of business Finance and Accounting, 28, 7&8, (October 2001), pp. 306-686. 104 Jeanneau Serge Marian Micu, "Volatility and derivatives turnover: a tenuous relationship" BIS Quarterly Review, (March 2003), 139-141.
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observations to estimate volatility, whereas interday data are used here. Given that
financial markets display high speeds of adjustment, studies based on longer intervals
such as daily observations may fail to capture information contained in intraday market
movements. Moreover, because of modern communications systems and improved
technology, volatility measures based on daily observations ignore critical information
concerning intraday price patterns. Andersen (1996)105 pointed out that the focus of the
market microstructure literature is on intraday patterns rather than interday dynamics.
This study is also based on the hypothesis that the introduction of the derivatives products
has reduced the risk inefficiency in the BSE stock market. Three derivatives products
(index futures, stock futures and index options) have been used that have been introduced
in the different time periods. The time period is also for about 8 years including the most
recent earning period as 2005-2006. Derivatives turnover also have been used for the
same return series.
Some of the studies have undertaken to investigate the impact of the introduction of
futures trading on volatility of developed and under developed economies including
Indian stock market. The majority group of researchers supported the argument that the
introduction of the futures trading stabilizes the spot market by decreasing its volatility.
Few of them are, Baldauf and Samtoni (1991) using the S&P 500 index in US, Antoinmu
and Holems (1995, Galloway and Miller (1997) using mid 400 index, Darram (2000)
using the FITSE Mid 250 contract in UK), Bologna (2002) using MIB 30 in Italy, (2003),
Gupta (2002) and Raju and Kardnde (2003)106 using NSE 50 in India. Most of the studies
show that there is decrease in the spot market volatility upon the introduction of the index
futures trading.
Another group of researchers supported that introduction of the futures trading increased
the spot market volatility there by destabilizing the market, due to futures market
105 Anderson, ‘Does the Futures Trading Increases Stock Market Volatility’, Financial Analysts Journal, Vol. 44, (1996), 63-69. 106 Raju M. T. and Kiran Karande, "Price Discovery and Volatility on NSE Futures Market" Securities and Exchange Board of India, Working Paper Series, 7, (March 2003)
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promoting speculation and high degree of leverage Figlewaski (1981), Harris (1989)
suggested uninformed speculator trader in the futures market add noise to spot market
and decrease the information content of the spot price. , Chang at el (1989) Nikki index in
the Japan, Brosan at el (1991), Lee and Ohk (1992) for Japan and UK, Kmara at el (1992)
S&P 500 in US are some of studies which supported that destabilizing hypothesis. Since
the introduction index futures trading whether decrease or increase stock market
volatility, we need to investigate empirically.
3.2 STABILIZATION ARGUMENTS AND HYPOTHESIS
There is debate how introduction of index futures trading influence cash market
volatility. One group of author's views argued that, the introduction of index futures
trading decreases spot market volatility, due to speculative traders migrated from spot to
futures market.
Grossman and Miller (1988)107 suggested that spot market volatility decreases by higher
liquidity provided by speculators. This additional liquidity allows hedging the position
and curb volatility attributes to order imbalance. There are several ways by which futures
market increases the efficiency and smoothens price variations in the underlying spot
market. Futures markets provide a mechanism for those who buy and sell the actual
commodity to hedge themselves against unfavorable price movement. Though the futures
market spreads across a large number of investors and transferred away from those
hedging spot position to professional speculators who are willing and able to bear it. The
availability of risk transference afforded by the futures market reduces the spot price
volatility because it eliminates the need to incorporate risk premium in the spot market
transaction to compensate the risk of price fluctuations. Futures’ trading attracts more
traders to spot market making it more liquid and therefore less volatile. The debate about
speculators and impacts of futures trading on spot price volatility suggesting decreases
volatility in stock market.
107 Grossman and Miller, ‘Liquidity and Volatility Aspects of Derivatives’, Journal of Business, Vol. 46, (1988), 434-453.
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Bologna (2002)108 argued that the speculation in the futures market also leads to
stabilization of the spot prices. Since futures are characterized by high degree
informational efficiency, the effect of the stabilization permits to the spot market. The
profitable speculation stabilizes the spot price because informed speculators tend to buy
when the price is low pushing it up and sell when the price is high causing it to fall.
These opposing forces constantly check the price swings and guide the price towards to
the mean level. Uninformed speculators are not successful and are eliminated from the
market. This profitable speculation in the futures market leads to a decrease spot price
volatility. Company related factors including bonus announcement, dividends, and others
also play an important role.
There are several empirical studies shows that introduction on index futures trading
improve market efficiency and reduced informational asymmetries. Darram (2000)109
also argued that introduction of the futures market leads to more complete market
enhancing the information flow. Futures market allows for new positions and expanded
investment sets and enables to position to take at lower cost. Futures’ trading brings more
information to the market and allows for quicker disseminations of the information. The
transfer of the speculative activity from spot to futures market decreases the spot market
volatility.
3.3 DESTABILIZING ARGUMENT AND HYPOTHESIS
Another group of authors views argument that, introduction of index futures trading
increases cash market volatility, due to low transaction costs in futures market induce
more uninformed speculative traders, adding noise to the market and decreases in
108 Bolgna and laura cavallo, ‘Does the introduction of stock index futures reduce stock market volatility ? Evidence from the Italian stock exchange using GARCH’, Applied Financial Economics, 12, (2002), 183-192. 109 Darren Butter worth, ‘the impact of introduction of the index futures trading on underlying stock index volatility in the case of the FISE Mid 250 contract’, Journal of Financial Economics, 7, ( 2000), 223-226.
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formatives of prices. Figlewaski (1981)110 argued that speculation in the futures market is
transmitted to the underlying spot markets. The speculation produces a net loss with some
speculators gaining (and others loosing), thereby destabilizing the market. Uninformed
speculative traders increase price volatility by interjecting noise to a market with limited
liquidity. The inflow and existence of the speculators in the futures market produce
destabilization forces, which creates un desirable bubbles.
Kenneth and William (1992)111 suggested the futures market activity increases the spot
price variability when futures price is changed by technical factors or manipulations.
Some times futures market induces a significant amount of hedge trading without
attracting enough speculation to permit the effective risk transfer. The hedging pressure
in the futures market than spills over to the spot market when traders end up bearing risk
transfer through both futures and spot market. Futures trading increases spot price
volatility if traders in the futures market do not have good information as participant in
the spot market even if futures prices accurately reflect the information available to the
trader in the market, their collective actions pushes the spot market prices away from its
most appropriate value. This situation presents profitable opportunities to better informed
spot market participants whose trading acts to stabilize futures prices while allowing
greater volatility in the spot market.
Further, futures market are distributed information asymmetrically the information
content of the spot price is altered, spot prices variability and welfare is reduced. Since
the proposed logical arguments both support and reject the proposition of futures markets
having a destabilizing effect on spot market, it is self-evident that the theoretical debate
on how futures trading affects underlying stock market still remains rather inconclusive.
Thus the uncertainty of the existent theoretical literature implies that the issue of whether
and how futures trading affect underlying spot market remains mainly an empirical one.
110 Figlewaski S, ‘Futures Trading and Volatility in GNMA futures’, The Journal of Finance, 36, (1981), 445-456. 111 D G Kenneth and L S William, ‘Price Movements and Price Discovery in Futures and Cash Markets’, The Review of Economics and Statistics, 65, 2, (1992), 289-297.
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The effect of the introduction of stock index futures on volatility of the Italian stock
exchange was examined by Bologna and Cavallo (2002).They employed GARCH family
of techniques to capture time varying nature of volatility using daily closing price of MIB
stock index periods from 2nd January 1990 to December 1997. The result shows that,
there was no destabilization of spot market as result of the introduction of equity index
futures contracts in Italy. They concluded that the introduction of the stock index futures
trading has lead to diminish the stock market volatility, due to the increase impact on
recent news and reduced effect of the uncertainty originating from the old news.
Another study examined the impact of introduction of KOSPI 200 futures on Korean
stock market using data for the period from 1 September 1993 to December 1998. Ryoo
and Graham smith (2003)112 argued that introduction of index futures trading have
destabilizations spot market. They used ARCH/ GARCH models to capture time varying
nature of volatility phenomena in present data. The results shows futures trading
increases the speed at which information impounded into the spot market prices, reduces
the persistent of the information and increase the spot market volatility.. This study
investigated the influences of the inception of Taiwan Index future trading on spot price
volatility on the Taiwan Stock exchange using the data period from 5th January 1995 to
May 2000. The macro economic effects are controlled and asymmetric response behavior
is studied.
Chiang and Wang (2002)113 suggested that the trading of TAIEX futures has major
impact on spot price volatility mechanism, while the trading of MSCI Taiwan does not.
They used GJR GARCH model to capture the asymmetric features in the data. The result
shows that the increase asymmetric response behavior the following the beginning the
trading of two index futures reflect that a fact the major proportion of the investors in
TSE is of non institutional investors are generally un-informed and are inclined to the
112 Graham Smith, ‘ Stock Index Futures Trading and Volatility in International Equity Markets’, Journal of Futures Markets, 20, (2003), 661-685. 113 Chiang and Wang, The impact of futures trading on spot index volatility evidence from Taiwan Index futures; Applied Economic Letters, 9, (2002), 381-385.
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over react to the bad news. Meanwhile, the instruction of the TAIEX the futures trading
improves the efficiency of the information transmission from futures to spot markets.
In a study that compared the volatility of NSE 50 index before and after introduction of
Nifty futures trading, vipul (2006)114 found a decline volatility of Nifty index of each
year between 1998 and 2004. He used GARCH model to capture time varying nature of
volatility and volatility clustering phenomena present in data. The results shows that
introduction of derivatives trading has not destabilization stock market. This is largely
attributed to reduce the persistence in the previous day’s volatility. However, intraday
unconditional volatility of equity increases. This contradiction is explained by a increased
correlation between price of its constituent shares caused by arbitrage transaction in the
cash market.
The effect of the introduction of the futures and options to FTSE/ASE 20 index on
volatility of underlying was investigated. According to Nagraj and Kiran (200)115, there is
reduction in spot market volatility after introduction on stock index futures trading. They
used EGARCH technique to capture the asymmetric features in data. They points out that
asymmetric an effect of the futures trading has induced a reduction in the conditional
volatility index and consequently it has increased the efficiency.
The impact of the introduction stock index futures on underlying index volatility
evidence from India was investigated by Debashish (2008)116. They employed ARIMA
ARCH models to capture volatility of clustering and time varying nature of volatility or
heteroskedasticity using daily closing price of nifty index periods from June 2000 to May
2007. They concluded that while the introduction of the stock index trading has no effect
on underlying mean level and marginal volatility, it has significantly altered the structure
114 Vipul Bansal, ‘the Impact of the introduction of the derivatives on underline volatility :evidence from India’, Applied financial Economics, 16, (2006), 687-694. 115 Nagaraj K S and Kotha Kiran Kumar, ‘Index Futures Trading and Spot Market Volatility’, The Icfai Journal of Applied Finance, 10,.8, (2004),5-15. 116Sathya Swaroop, Debashish, , ‘ Impact of Futures Trading Activity on Stock Price volatility of NSE Nifty Stock Index’, Derivative Markets, IUP, V, 4, (2008), 75-78.
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of the stock market volatility. This can explained by new information is assimilated into
prices more rapidly then before and there is decline in the persistence of volatility since
onset of futures trading.
In a similar study done to explored the impact of introduction of index futures and
options contracts on volatility of Indian stock market, Shenbagaran (2003)117 found there
was no significant impact on spot market volatility after futures introduction. He
employed ARCH/GARCH models to capture the keteroskedasticity in returns that
characterize stock market returns. The analysis shows that introduction of futures trading
has not destabilization spot market. This can explain by introduction of derivatives
contracts improve liquidity and reduced informational asymmetries in market.
This study investigated the effect of introduction of futures trading on stock market in
USA, UK, Japan, Australia, France and Hong Kong. Shang ( 2001)118 argued that impact
of introduction of index futures on volatility of stock returns in USA, France and
Australia, rose significantly, while no significant changes in the volatility were found in
UK and Hong Kong. The different results might be attributed to macroeconomic factors
and the structure of various markets.
The effect of the index futures trading on the underlying market volatility in Australia,
Hong Kong, Japan, and UK have been examined by Lee and Ohk (1992).Using
multivariate GARCH model and they found that the stock market volatility had increased
significantly after the introduction of the stock index futures rendering it more efficiency,
volatility of the shocks reflect the information which is transmitted and absorbed rapidly
by the market. However, Australia and Hong Kong were observed to be exceptional
cases, where stock market volatility did not increase.
117 Shenbargarman Do futures and Options trading increases stock market volatility?, NSE working paper, (2003), 1-17 118 Shang, K, ‘Information flows Across Major Futures markets’, Multinational Finance Journal, 1, (2001), 255-271.
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3.4 INVESTORS’ PERCEPTIONS ABOUT DERIVATIVES:
Various organizations and researchers in India and across the world have tried to explore
the perceptions of investors in market with regard to derivatives. Following are list of
major research done to explore and understand the perceptions, attitudes, behavior of
various investors towards derivatives, bifurcated into two parts.
3.4.1 Research across the world:
Bodnar and Gebhardt (2004) 119 explored, in their comparative survey of German and US
investors’ perceptions towards derivative, that German investors are more likely to use
derivatives than US investors, with 78% of German investors using derivatives compared
to 57% of US investors. Aside from this higher overall usage, the general pattern of usage
across industry and size groupings is comparable across the two countries. In countries,
Stock and foreign currency derivative usage is most common, followed closely by
interest rate derivatives, with commodity derivatives a distant third. Usage rates across all
three classes of derivatives are higher for German investors than US investors. In contrast
to the similarities, investors in the two countries differ notably on issues such as the
primary goal of hedging, their choice of instruments, and the influence of their market
view when taking derivative positions. These differences appear to be driven by the
greater importance of financial accounting statements in Germany than the US and
stricter German corporate policies of control over derivative activities. German investors
also indicate significantly less concern about derivative related issues than US firms,
which appears to arise from a more basic and simple strategy for using derivatives.
Finally, among the derivative non-users, German investors tend to cite reasons
suggesting derivatives were needed or not whereas US investors tend to cite reasons
suggesting a possible role for derivatives, but a hesitation to use them for some reason.
While investors in both countries overwhelmingly indicate that they use derivatives 119 Bodnar, Gordon M., Gebhardt, Gunther C, ‘Wharton Survey of Derivatives Usage and Perceptions by U.S. Non-Financial Investors’, Financial Management, 24, 2, (2001), 104-114.
136
mostly for risk management, differences appear in the primary goal of using derivatives,
with German investors focusing more on managing accounting results whereas US
investors focused more on managing cash flows. German investors are more likely to
incorporate their own market view on price movement when taking positions with
derivatives than US investors. Despite this, German investors are also more relaxed about
derivatives, indicating a significantly lower level of concern about issues related to
derivatives than US firms. This attitude is consistent with the German investors’
consistently stricter attitudes and policies towards controlling derivatives activities.
However, there have been several studies on the use of derivatives by US non-financial
companies. Among these are the surveys of the Treasury Management Association
(1996), Greenwich Associates (1996), and especially two large-scale surveys conducted
by the Wharton School: one in 1994 (Bodnar, Hayt, Marston, and Smithson (1995)) and
another in late 1995 (Bodnar, Hayt, and Marston (1996)). These studies also have
provided some insight into the use of derivatives for risk management and other purposes
as well as reporting and control issues for US non-financial firms.
Very interesting and useful are the results of the survey undertaken by Berkman et al
(1997)120, where the hedging practices of the non-financial firms and investors in New
Zealand and U.S.A. are compared. The extent of derivatives usage is higher among firms
and investors in New Zealand, mainly due to the greater corporate exposure to financial
risks and despite the higher transaction costs the local firms face, whereas the local firms
also report their derivative positions to higher management more frequent than U.S. firms
do. Comparing their conclusions drawn from the investigation of derivatives use by non-
financial firms and large investors in Sweden to the previous survey in New Zealand and
U.S., Alkeback and Hagelin [Alkabd eback/Hagelin, 1999] find that derivatives usage is
more common among large firms, that the main objective of Swedish firms is also the
hedging of risks and that the lack of sufficient knowledge is the main source of concern
120 Berkman, H., Bradbury, M., 1996. Empirical Evidence on the Corporate Use of Derivatives. Financial Management, 25 (2), 5-13.
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for firms in Sweden, contrary to U.S. firms where the lack of knowledge is a matter of
least concern.
The first evidence of derivatives use by non-financial firms is presented during 1995, in a
survey conducted by Philips (1995)121 in a sample of 415 U.S. Investors including
institutional investors. 63.2% of the responding investors mention that they use
derivatives to hedge their financial risk, 90.4% of which face interest rate risk, 75.4%
face currency risk, while commodity risk faces just 36.6% of users. In addition, the
evidence verifies that derivatives are not used for speculation against market movements,
but mainly for hedging anticipated transactions and firms’ commitments. According to
the second of the series survey the fraction of derivatives users reaches 41% -despite the
extensive losses that many firms suffered during fiscal year 1995 because of derivatives
and which received great attention by the Press- and approaches 50% in the 1998 survey.
3.4.2 Research in India:
Derivative Market Review Committee (2008) was set up by SEBI to review the
developments in the Indian derivative market and to suggest the future course of action.
The committee was headed by Prof. M. Rammohan Rao. The members were Prof. P G
Apte, Dr. Nachiket Mor, Ms Chitra Ramkrishna, Ms. Deena Mehta, Dr, Sanjeevan
Kaphse. Committee investigated various issues pertaining to institutional as well as
investors and gave recommendations. Committee had suggested the introduction of mini
contracts equity indexes, option contracts with longer life, options on futures, Bond
indexes and FO contracts, exchange traded currency and credit derivatives, revision of
position limits, investor education and profiling.
121 Phillips, A., Derivatives practices and instruments surveys. Financial Management, 24 ,2, (1995), 115-125.
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Bose (2006)122 studied the attitudes and perceptions of investors about equity derivatives.
She found that Derivatives markets provide at least two very important benefits to the
investors. One is that they facilitate risk shifting, which is also known as risk
management or hedging or redistributing risk away from risk averse investors towards
those more willing and able to bear risk. People and businesses who have exposure to risk
can either hedge against that risk with a derivatives contract or transfer. She also found
that many investors have given importance to the certain company related factors being
taken into account by them for derivative trading. Factors like Corporate actions
including dividend, bonus, and results do affect derivative market and investors in
general.
Bhaumik (2007)123 studied the perceptions of investors regarding merits and demerits of
derivatives traded in Indian stock market. The study explored the preferences of various
investors towards equity futures and options. Major findings reveal that investors prefer
stock futures more than any other varieties of derivatives. All investors agree on the
benefits of risk management offered by derivatives. At the same time they commonly
agree on the impact of futures market on spot market. It was found that equity derivatives
trading is more concentrated in the top 10 urban centres, when compared with the equity
spot market.
Harish (2004124) investigated the potential of derivatives in India by surveying more than
100 brokers and investors. He found that various factors are being considered by them
while making investment into derivatives. Company related factors are perceived as most
important factors affecting to derivative market. Many investors and brokers have clearly
122 Suchismita R Bose, “Financial Derivatives I: What Indian investors think?”, Money & Finance, 6, 4 (2006) 123 Sumon K, Bhaumik,. “Financial Derivatives II: The Risks and their Management”, Money & Finance, 13,. 5, (June 2007), 22-32 124 A. S. Harish "Potential of Derivatives Market in India", The ICFAI Journal of Applied Finance, 7,5,
(Nov. 2004), pp 1-24
139
expressed their views on uses of derivatives. Mostly all considered derivative market as
highly risky and volatile segment of capital market.
The question that arises is how investors judge perceive such derivative in light of its
features, merits and demerits, factors considered while investing into derivative
investment is not well captured in earlier existing works. So, based on the above literature
available, researcher has found major gap in the research with regard to investor’s
perceptions related to derivatives in the context of merits, demerits, features, factors
affecting while investing into derivatives, and satisfaction level. So researcher has
focused more on to fill this gap which is observed from existing literature.
Hence, research presented in this thesis would make an addition to existing works on
Derivatives.
140
CHAPTER 4
RESEARCH METHODOLOGY
4.1 An Introduction
4.2 Objective of the Study
4.3 Hypothesis of the Study
4.4 Scope of the Study
4.5 Research Methodology
141
4.1 INTRODUCTION
Research is a scientific and systematic search for pertinent information on a specific
topic. In fact, it is an art of scientific investigation. This chapter provides the detailed
view of the how the research has been carried out.
4.2 OBJECTIVE OF THE STUDY
The broad objective of this research study is “An in-depth study of Organization and
Working of Derivatives in Indian capital market.’’
4.2.1 Specific objectives of the research are:
1. To study the structure of Indian capital market and its role in Indian economy.
2. To study the derivatives traded and used in Indian capital market.
3. To study the role and impact of derivatives on Indian capital market.
4. To know the investor’s perceptions regarding Equity derivatives.
5. To know various factors affecting Investment into Equity derivatives.
4.3 HYPOTHESIS OF THE STUDY – (TEST OF DIFFERENCES)
Various hypothesis have been considered to examine significance of differences between
cities and Investor’s perceptions about derivatives. (Refer chapter no.5)
4.4 SCOPE OF THE STUDY
The scope of this research study “An in-depth study of Organization and Working of
Derivatives in Indian capital market.’’ is limited to 1) know the perception of HNI
investors regarding equity derivatives traded on the floors of NSE only, and 2) to know
the various factors considered by HNI investors while investing into Derivatives.
1. The geographical scope of the study is limited to major cities of Gujarat region
142
only.
2. The researcher has restricted the study to the HNI investors only.
4.5 RESEARCH METHODOLOGY
A system of models, procedures and techniques used to find the result of a research
problem is called Research Methodology. It gives a framework and direction to the
study. The technique of data collection and the methodology of their analysis has a great
bearing on the reliability of the result arrived at. Well-planned research methodology
explains the logic behind the methods the researcher has used in the context of his
research study. It also explains why researcher has used a particular method or technique
and why he has not used others so that research results are capable of being evaluated
either by the researcher himself or by others.
4.5.1 Research Design
A research design is a specification of methods and procedures for acquiring the needed
information. It is the overall operational pattern or framework, of the project that
stipulates what type of information is to be collected from which sources and by what
procedures. Means, it is the conceptual structure within which research is conducted; it
constitutes the blue print for the collection, measurement and analysis of data.
To develop hypothesis, to isolate key variables and relationship, to provide insights into,
and understanding of the problem, exploratory research design has been used. To identify
the problem, develop an approach to the problem and to formulate an appropriate
research design secondary data have been used. To understand the perception of HNI
investors regarding their investment into Futures and options, primary information is
collected from the HNI investors of various stock broking companies.
4.5.2. Population
A population is the set of all elements of interest in a study. It is the total collection of
elements about which researcher wish to make some inferences. The population elements
143
for the study are the investors dealing in stock market.
4.5.3 Sampling Technique
Sampling techniques may be broadly classified as non-probability and probability.
Non-probability sampling relies on the personal judgment of the researcher rather than
chance to select sample elements. The researcher can arbitrarily or consciously decide
what elements to include in the sample. It may yield good estimates of the population
characteristics. Commonly used non-probability sampling techniques includes
convenience sampling, judgmental sampling, quota sampling and snowball sampling. In
probability sampling, sampling units are selected by chance. As sampling frame doesn’t
exist for the population, Probability Sampling Method can’t be applied. Therefore Non-
probability Sampling Method is appropriate sampling method for the study.
Judgmental sampling has been attempted to obtain a sample of convenient elements.
Researcher has selected HNI investors as respondents. .Responses has been collected
from the Various HNI investors across major cities of Gujarat.
4.5.4 Sampling Unit
There are more than 80 major brokerage houses present in major cities of Gujarat. HNI
investors of any brokerage houses from each major city have been selected where survey
has been conducted. Major cities include Ahmedabad, Rajkot, Baroda, and Surat only.
4.5.5 Sample
Sample is the group of respondents consisting of a portion of the target population,
carefully selected to represent the population. Means it is a subset of the population
drawn to collect data. Researcher has selected HNI investors whose daily turnover is
more than 10, 00,000 and also dealing in equity derivatives traded at NSE across major
cities of Gujarat for the study.
144
4.5.6 Sample size
There are total 200 respondents surveyed. After removing questionnaire with error and
half filled, the effective sample size taken for the study is 150.
4.5.7 Method of Data Collection
There are various methods available for the collection of the data. It includes personal
contact, telephonic survey, mail survey and electronic survey. Researcher has preferred
the personal contact method to collect the primary data as it is more effective compared
to other.
4.5.8 Tool of Data Collection
Various tools viz; interview of respondent or group of respondents, questionnaire and
observation methods; are available for data collection. Researcher has developed the
structured questionnaire comprise close-ended as well as open-ended questions for the
purpose of data collection.
The questionnaire was pre-tested among thirty selected sample respondents to check its
workability for the purpose of the study and time required to fill up the questionnaire.
4.5.9 Sources of Data
Two types of data are collected. Major source of information is primary data. The
primary data is collected from HNI investors of various stock broking companies in
major cities of Gujarat
To understand and explore the research problem, to build the theoretical frame work,
various secondary data sources are used. This includes research journals, magazines,
books, websites, research report, news papers etc.
145
4.5.10 Data Analysis
Data analysis begins with preliminary check of all questionnaires for its completeness.
Examination of the filled up questionnaire is required to detect the error, omission of
half-filled and unqualified questionnaires and to correct the errors wherever possible.
This ensures accuracy, consistency and uniformity of data. Then numerical codes have
been assigned to represent a specific response to a specific question. After this, the data
were tabulated, i.e. arranged in a logical manner in columns and rows for further analysis.
Various statistical tools have been used for the analysis of the data. Appropriate statistical
tools were applied according to the objectives and hypothesis of the study. This includes
Frequency Distribution, Cross-tabulation, Mean, Standard Deviation, Factor Analysis,
Analysis of Variance etc. The data was analyzed using Statistical Package for Social
Sciences version 12.0.
146
CHAPTER 5
DATA ANALYSIS AND INTERPRETATION
5.1 Details of the Investors Surveyed
5.2 Hypothesis Testing and Analysis of Variance
5.2.1 Findings
5.3 Factor Analysis
5.3.1 An introduction
5.3.2 Factor Analysis Process
5.3.3 Conducting Factor Analysis for Perceptions of Investors - A Detailed
Explanation
5.3.3.1 Findings
5.3.4 Conducting Factor Analysis on Factors to be considered while Investing
into Derivatives
5.3.4.1 Findings
5.3.4.2 Linking Factor Analysis Findings with Demographic Factor
5.4 Cluster Analysis
5.4.1 An introduction
5.4.2 Cluster Analysis Process
5.4.3 Conducting Cluster Analysis for Various Perception on Growth of
Derivatives in India: A Detailed Explanation
5.4.3.1 Findings
5.4.4 Conducting Cluster Analysis on Various Perceptions about Derivatives:
A Detailed Explanation
5.4.4.1 Findings
147
5.1 DETAILS OF INVESTORS SURVEYED:
50% of the investors surveyed belong to Ahmedabad, while 16.7% of the
investors belong to Surat, Baroda, and Rajkot respectively.
51.3% of the investors surveyed were from age bracket 21-30, while 31.3% of
them were from 31-40.
91.3% of investors surveyed were males.
2/3rd of investors were married.
41.3% of investors surveyed were engaged in Business, while 38% were doing
service and 20% of them were having their own profession.
45.3% of the investors surveyed had an annual income of 5 lacks.
49.3% of the investors surveyed were investing up to 5 lacks into derivatives
44.7% of the investors surveyed were investing into derivatives for the purpose of
hedging only.
40% of the investors surveyed were investing into derivatives for the purpose of
speculation only.
32% of the investors surveyed were trading into all types of derivative contracts
available at NSE ltd.
86% of the investors surveyed were trading into one month contracts.
Major findings of the survey related to investor’s perception are amplified below:
65% of the investors surveyed consider derivatives like Futures and Options are
effective risk management tools.
60% of the investors surveyed consider futures and options help in discovery of
prices in better way
82% of the investors surveyed believe that futures and options enable to expand
volume of activity.
72% of the investors believe that derivative helps to hedge risk effectively.
50% of the investors believe that derivatives induce more speculation.
32% of investors do not believe in benefit less margin benefit.
87% of the investors believe that India lacks proper accounting system.
67% of investors believe that derivatives destabilize spot market.
148
54% of investors believe that Lot size of contracts should be reduced.
80% of investors believe that derivative market regulations need to be
strengthened.
96% investors consider FII activity as important factor affecting to derivative
market.
86% investors consider Dividend as important factor.
79% investors consider Interest rate changes by RBI as an important factor
affecting to derivative investment.
91% investors consider Budget Announcement as an important factor.
96% of the investors do look at financial result of the company while investing
into derivatives.
34% of the investors were neutral about Business policy changes by company.
Table 5.1: City wise details
Frequency Percent Cumulative Percent
Valid Ahmedabad 76 50.7 50.7
Surat 25 16.7 67.3
Rajkot 25 16.7 84.0
Baroda 24 16.0 100.0
Total 150 100.0
Table 5.2: Age wise details
Frequency Percent Valid Percent Cumulative Percent
Valid <20 2 1.3 1.3 1.3
21-30 77 51.3 51.3 52.7
31-40 47 31.3 31.3 84.0
41-50 17 11.3 11.3 95.3
>50 7 4.7 4.7 100.0
Total 150 100.0 100.0
149
Table 5.3: Gender wise details
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Male 137 91.3 91.3 91.3
Female 13 8.7 8.7 100.0
Total 150 100.0 100.0
Table 5.4: Marital Status
Frequency Percent Valid
Percent
Cumulative
Percent
Married 100 66.7 66.7 66.7
Single 50 33.3 33.3 100.0
Valid
Total 150 100.0 100.0
Table 5.5: Occupation wise details
Frequency Percent Valid
Percent
Cumulative
Percent
Service 57 38.0 38.0 38.0
Busines
s
62 41.3 41.3 79.3
Profess
ion
31 20.7 20.7 100.0
Valid
Total 150 100.0 100.0
Table 5.6: Income profile:
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Upto 5
Lacs
68 45.3 45.3 45.3
5 Lacs - 34 22.7 22.7 68.0
150
10 Lacs
10 Lacs -
20 Lacs
28 18.7 18.7 86.7
Above 20
Lacs
20 13.3 13.3 100.0
Total 150 100.0 100.0
Table 5.7: Occupation
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Service 57 38.0 38.0 38.0
Business 62 41.3 41.3 79.3
Profession 31 20.7 20.7 100.0
Total 150 100.0 100.0
Table 5.8: Proportion of Investment into Derivatives
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Upto 5
Lacs
74 49.3 49.3 49.3
5 Lacs -
10 Lacs
28 18.7 18.7 68.0
10 Lacs -
25 Lacs
27 18.0 18.0 86.0
Above 25
Lacs
21 14.0 14.0 100.0
Total 150 100.0 100.0
151
Table 5.9: Percentage of Income available for derivatives:
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Less than 10% 54 36.0 36.0 36.0
11-20% 34 22.7 22.7 58.7
21-30 36 24.0 24.0 82.7
Above 30% 26 17.3 17.3 100.0
Total 150 100.0 100.0
Table 5.10: Purpose of investment
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Hedge only 67 44.7 44.7 44.7
Speculate only 60 40.0 40.0 84.7
Investment only 20 13.3 13.3 98.0
All 3 2.0 2.0 100.0
Total 150 100.0 100.0
Table 5.11: Types of contracts:
Frequency Percent Valid
Percent
Cumulative
Percent
Stock Futures only 21 14.0 14.0 14.0
Stock Option only 1 .7 .7 14.7
Index Futures only 8 5.3 5.3 20.0
Both Stock & Index
Futures
35 23.3 23.3 43.3
All 48 32.0 32.0 75.3
Both Stock Futures &
Options
31 20.7 20.7 96.0
Valid
Both Index futures & 6 4.0 4.0 100.0
152
Options
Total 150 100.0 100.0
Table 5.12: Education profile of investors
Frequency Percent Valid
Percent
Cumulative
Percent
Valid Secondary 4 2.7 2.7 2.7
Graduation 80 53.3 53.3 56.0
Post Graduation 66 44.0 44.0 100.0
Total 150 100.0 100.0
Table 5.13: Contract period of trading
Frequency Percent Valid
Percent
Cumulative
Percent
Valid One month 130 86.7 86.7 86.7
Two months 4 2.7 2.7 89.3
Three months 16 10.7 10.7 100.0
Total 150 100.0 100.0
153
5.2 HYPOTHESIS TESTING & ANALYSIS OF VARIANCE
Analysis of variance125 is used for examining differences in the mean values of the
dependent variables associated with the effect of the controlled independent variables,
after taking into account the influence of the uncontrolled independent variables.
Essentially, analysis of variance (ANOVA) is used as a test of means for two or more
populations. The null hypothesis, typically, is that all means are equal or groups were not
different in preference for or perception about something.
In its simplest form, analysis of variance must have a dependent variable that is metric.
There must also be one or more independent variable/s which must be all non-metric
(categorical). Here, Researcher has used One-way analysis of variance which involves
only one categorical variable.
Figure 5.1: ANOVA Process126 (Conducting One-way ANOVA)
125 Naresh K. Malhotra and Satyabhushan Dash, Marketing Research: An Applied Orientation, (New Delhi, Pearson Education, 2009), pp. 502-510. 126 Naresh K. Malhotra and Satyabhushan Dash, Marketing Research: An Applied Orientation, (New Delhi, Pearson Education, 2009), p. 525
Step-1
Identify the dependent and independent variable
Step-2
Decompose the total variation
Step-3
Measure the effects
Step-4
Test the Significance
154
(Source: Malhotra and Dash, Marketing Research )
(1) Identify the Dependent and Independent Variable: the dependent variable is
denoted by Y and the independent variable is denoted by X. X is a categorical variable
having c categories. There are n observations on Y for each category of X. the sample
size in each category of X is n, and the total size N = n X c.
(2) Decompose the total variation: In examining differences among means, one-way
analysis of variance involves decomposition of total variation observed in the dependent
variable. This variation is measured by the sums of squares corrected for the mean (SS)
variation within and between is measured.
(3) Measure the effects: the effects of X on Y are measured by sum of squares between
the categories of X.
(4) Test the Significance: Null hypothesis that category means are equal in population
are measured. If the associated probability is less than the significance level of 0.05, the
null hypothesis of equal population means is rejected.
(5) Interpret results: if null hypothesis is rejected, then the effect of the independent
variable is significant. In other words, the mean value of the dependent variable will be
different for different categories of independent variable.
Conducting One-way analysis of variances for various Perceptions of investors
towards Derivatives (Q.No. 8) from different Cities:
Step-5
Interpret the results
155
Table 5.14 Descriptives related to One-way ANOVA of all Perception of Investors.
N Mean Std.
Deviation
Std.
Error
Q.8S1 Ahmedabad 76 3.89 .974 .112
Surat 25 3.56 .870 .174
Rajkot 25 3.28 1.400 .280
Baroda 24 3.58 1.381 .282
Total 150 3.69 1.124 .092
Q.8S2 Ahmedabad 76 3.70 .910 .104
Surat 25 3.52 .714 .143
Rajkot 25 3.12 1.092 .218
Baroda 24 3.42 1.176 .240
Total 150 3.53 .974 .080
Q.8S3 Ahmedabad 76 3.78 .932 .107
Surat 25 4.04 .611 .122
Rajkot 25 3.96 .841 .168
Baroda 24 4.04 .751 .153
Total 150 3.89 .845 .069
Q.8S4 Ahmedabad 76 4.04 .791 .091
Surat 25 3.96 .676 .135
Rajkot 25 3.88 .927 .185
Baroda 24 4.00 .978 .200
Total 150 3.99 .823 .067
Q.8S5 Ahmedabad 76 3.39 1.297 .149
Surat 25 3.04 1.485 .297
Rajkot 25 1.88 1.394 .279
Baroda 24 2.13 1.454 .297
Total 150 2.88 1.497 .122
Q.8S6 Ahmedabad 76 3.70 .864 .099
Surat 25 3.68 .748 .150
Rajkot 25 3.92 .812 .162
Baroda 24 3.92 .830 .169
Total 150 3.77 .831 .068
Q.8S7 Ahmedabad 76 3.20 .938 .108
Surat 25 3.60 .764 .153
Rajkot 25 3.76 .926 .185
Baroda 24 3.83 .868 .177
156
Total 150 3.46 .931 .076
Q.8S8 Ahmedabad 76 3.50 1.039 .119
Surat 25 3.08 .954 .191
Rajkot 25 3.32 1.249 .250
Baroda 24 3.63 1.209 .247
Total 150 3.42 1.095 .089
Q.8S9 Ahmedabad 76 3.21 1.037 .119
Surat 25 3.52 .770 .154
Rajkot 25 3.52 1.388 .278
Baroda 24 3.38 1.345 .275
Total 150 3.34 1.116 .091
Q.8S10 Ahmedabad 76 3.80 .910 .104
Surat 25 3.08 .812 .162
Rajkot 25 3.64 1.114 .223
Baroda 24 3.79 1.103 .225
Total 150 3.65 .990 .081
Q.8S11 Ahmedabad 76 2.95 1.118 .128
Surat 25 2.68 1.215 .243
Rajkot 25 3.00 1.472 .294
Baroda 24 3.17 1.435 .293
Total 150 2.95 1.247 .102
Q.8S12 Ahmedabad 76 2.91 .982 .113
Surat 25 2.80 1.225 .245
Rajkot 25 2.68 1.314 .263
Baroda 24 3.04 1.301 .266
Total 150 2.87 1.131 .092
Q.8S13 Ahmedabad 76 3.37 1.106 .127
Surat 25 3.56 1.325 .265
Rajkot 25 3.84 1.068 .214
Baroda 24 3.58 1.100 .225
Total 150 3.51 1.140 .093
Q.8S14 Ahmedabad 76 3.84 1.046 .120
Surat 25 4.16 .898 .180
Rajkot 25 4.08 .277 .055
Baroda 24 4.13 .338 .069
Total 150 3.98 .855 .070
Q.8S15 Ahmedabad 76 3.39 1.212 .139
Surat 25 3.84 1.179 .236
Rajkot 25 3.84 .987 .197
157
Baroda 24 3.63 1.096 .224
Total 150 3.58 1.160 .095
Q.8S16 Ahmedabad 76 3.54 1.248 .143
Surat 25 2.60 1.443 .289
Rajkot 25 2.28 1.242 .248
Baroda 24 2.46 1.351 .276
Total 150 3.00 1.400 .114
Q.8S17 Ahmedabad 76 3.97 .879 .101
Surat 25 4.04 .935 .187
Rajkot 25 4.16 .374 .075
Baroda 24 4.21 .415 .085
Total 150 4.05 .767 .063
Q.8S18 Ahmedabad 76 3.78 1.078 .124
Surat 25 3.88 .971 .194
Rajkot 25 3.36 1.036 .207
Baroda 24 3.29 1.197 .244
Total 150 3.65 1.088 .089
Q.8S19 Ahmedabad 76 3.18 .828 .095
Surat 25 3.60 .913 .183
Rajkot 25 2.52 1.005 .201
Baroda 24 2.63 1.056 .215
Total 150 3.05 .975 .080
Q.8S20 Ahmedabad 76 2.75 .981 .113
Surat 25 2.60 .866 .173
Rajkot 25 2.52 1.194 .239
Baroda 24 2.58 1.213 .248
Total 150 2.66 1.035 .085
Q.8S21 Ahmedabad 76 3.34 .932 .107
Surat 25 3.68 .627 .125
Rajkot 25 3.44 1.121 .224
Baroda 24 3.38 1.173 .239
Total 150 3.42 .964 .079
Q.8S22 Ahmedabad 76 3.93 .899 .103
Surat 25 4.04 .611 .122
Rajkot 25 4.36 .860 .172
Baroda 24 4.25 .989 .202
Total 150 4.07 .875 .071
Q.8S23 Ahmedabad 76 3.91 .751 .086
Surat 25 4.12 .666 .133
158
Rajkot 25 4.00 .913 .183
Baroda 24 3.83 1.007 .206
Total 150 3.95 .809 .066
Q.8S24 Ahmedabad 76 3.91 .819 .094
Surat 25 3.92 .640 .128
Rajkot 25 3.72 .891 .178
Baroda 24 3.71 .908 .185
Total 150 3.85 .817 .067
Q.8S25 Ahmedabad 76 3.24 1.153 .132
Surat 25 3.56 1.158 .232
Rajkot 25 3.56 .917 .183
Baroda 24 3.38 .970 .198
Total 150 3.37 1.089 .089
Q.8S26 Ahmedabad 76 3.83 .900 .103
Surat 25 4.20 .645 .129
Rajkot 25 4.04 .889 .178
Baroda 24 3.96 .955 .195
Total 150 3.95 .873 .071
Q.8S27 Ahmedabad 76 3.79 1.024 .117
Surat 25 3.12 1.130 .226
Rajkot 25 2.36 1.319 .264
Baroda 24 2.42 1.381 .282
Total 150 3.22 1.305 .107
Q.8S28 Ahmedabad 76 4.12 .832 .095
Surat 25 4.16 .473 .095
Rajkot 25 3.56 .768 .154
Baroda 24 3.54 .833 .170
Total 150 3.94 .813 .066
Q.8S29 Ahmedabad 76 3.84 .910 .104
Surat 25 4.04 .351 .070
Rajkot 25 3.88 .526 .105
Baroda 24 3.92 .504 .103
Total 150 3.89 .725 .059
Q.8S30 Ahmedabad 76 4.09 .836 .096
Surat 25 4.32 .690 .138
Rajkot 25 3.60 1.080 .216
Baroda 24 3.46 1.179 .241
Total 150 3.95 .961 .078
Q.8S31 Ahmedabad 76 3.43 1.300 .149
159
Surat 25 2.92 1.441 .288
Rajkot 25 1.72 1.308 .262
Baroda 24 1.92 1.381 .282
Total 150 2.82 1.511 .123
Q.8S32 Ahmedabad 76 3.80 1.033 .118
Surat 25 3.92 1.152 .230
Rajkot 25 4.92 .277 .055
Baroda 24 4.88 .338 .069
Total 150 4.18 1.017 .083
Q.8S33 Ahmedabad 76 3.34 1.102 .126
Surat 25 3.40 1.041 .208
Rajkot 25 3.92 .954 .191
Baroda 24 3.75 .989 .202
Total 150 3.51 1.066 .087
Q.8S34 Ahmedabad 76 2.78 .826 .095
Surat 25 2.60 .707 .141
Rajkot 25 2.72 .980 .196
Baroda 24 2.79 .977 .199
Total 150 2.74 .855 .070
Q.8S35 Ahmedabad 76 3.47 1.113 .128
Surat 25 3.16 1.028 .206
Rajkot 25 2.64 .995 .199
Baroda 24 2.83 1.049 .214
Total 150 3.18 1.112 .091
Q.8S36 Ahmedabad 76 3.79 1.024 .117
Surat 25 4.12 .927 .185
Rajkot 25 3.72 1.339 .268
Baroda 24 3.75 1.225 .250
Total 150 3.83 1.098 .090
Q.8S37 Ahmedabad 76 3.75 1.034 .119
Surat 25 4.36 .490 .098
Rajkot 25 3.68 .988 .198
Baroda 24 3.67 1.007 .206
Total 150 3.83 .974 .080
Q.8S38 Ahmedabad 76 3.20 1.096 .126
Surat 25 2.56 .917 .183
Rajkot 25 2.80 1.041 .208
Baroda 24 2.96 1.160 .237
Total 150 2.99 1.087 .089
160
Table 5.15 F test and Significance values in One-Way ANOVA for Q.No.8.
Sum of
Squares
df Mean
Square
F Sig.
Q.8S1 Between Groups 8.082 3 2.694 2.183 .093
Within Groups 180.191 146 1.234
Total 188.273 149
Q.8S2 Between Groups 6.641 3 2.214 2.398 .070
Within Groups 134.753 146 .923
Total 141.393 149
Q.8S3 Between Groups 2.218 3 .739 1.037 .378
Within Groups 104.076 146 .713
Total 106.293 149
Q.8S4 Between Groups .512 3 .171 .248 .863
Within Groups 100.482 146 .688
Total 100.993 149
Q.8S5 Between Groups 59.457 3 19.819 10.546 .000
Within Groups 274.383 146 1.879
Total 333.840 149
Q.8S6 Between Groups 1.681 3 .560 .809 .491
Within Groups 101.153 146 .693
Total 102.833 149
Q.8S7 Between Groups 11.327 3 3.776 4.674 .004
Within Groups 117.933 146 .808
Total 129.260 149
Q.8S8 Between Groups 4.635 3 1.545 1.297 .278
Within Groups 173.905 146 1.191
Total 178.540 149
Q.8S9 Between Groups 2.923 3 .974 .779 .508
Within Groups 182.737 146 1.252
Total 185.660 149
Q.8S10 Between Groups 10.376 3 3.459 3.724 .013
Within Groups 135.598 146 .929
Total 145.973 149
Q.8S11 Between Groups 3.011 3 1.004 .641 .590
Within Groups 228.563 146 1.565
Total 231.573 149
Q.8S12 Between Groups 1.840 3 .613 .474 .701
161
Within Groups 188.754 146 1.293
Total 190.593 149
Q.8S13 Between Groups 4.436 3 1.479 1.142 .334
Within Groups 189.038 146 1.295
Total 193.473 149
Q.8S14 Between Groups 3.010 3 1.003 1.383 .250
Within Groups 105.930 146 .726
Total 108.940 149
Q.8S15 Between Groups 6.037 3 2.012 1.511 .214
Within Groups 194.503 146 1.332
Total 200.540 149
Q.8S16 Between Groups 46.120 3 15.373 9.128 .000
Within Groups 245.880 146 1.684
Total 292.000 149
Q.8S17 Between Groups 1.348 3 .449 .761 .518
Within Groups 86.226 146 .591
Total 87.573 149
Q.8S18 Between Groups 7.718 3 2.573 2.228 .087
Within Groups 168.556 146 1.154
Total 176.273 149
Q.8S19 Between Groups 20.287 3 6.762 8.140 .000
Within Groups 121.286 146 .831
Total 141.573 149
Q.8S20 Between Groups 1.337 3 .446 .411 .745
Within Groups 158.323 146 1.084
Total 159.660 149
Q.8S21 Between Groups 2.210 3 .737 .789 .502
Within Groups 136.330 146 .934
Total 138.540 149
Q.8S22 Between Groups 4.302 3 1.434 1.905 .131
Within Groups 109.891 146 .753
Total 114.193 149
Q.8S23 Between Groups 1.245 3 .415 .629 .597
Within Groups 96.329 146 .660
Total 97.573 149
Q.8S24 Between Groups 1.280 3 .427 .634 .594
Within Groups 98.194 146 .673
Total 99.473 149
Q.8S25 Between Groups 3.151 3 1.050 .883 .451
162
Within Groups 173.682 146 1.190
Total 176.833 149
Q.8S26 Between Groups 2.879 3 .960 1.266 .288
Within Groups 110.695 146 .758
Total 113.573 149
Q.8S27 Between Groups 58.875 3 19.625 14.704 .000
Within Groups 194.865 146 1.335
Total 253.740 149
Q.8S28 Between Groups 11.047 3 3.682 6.151 .001
Within Groups 87.413 146 .599
Total 98.460 149
Q.8S29 Between Groups .755 3 .252 .474 .701
Within Groups 77.539 146 .531
Total 78.293 149
Q.8S30 Between Groups 13.820 3 4.607 5.435 .001
Within Groups 123.754 146 .848
Total 137.573 149
Q.8S31 Between Groups 78.756 3 26.252 14.663 .000
Within Groups 261.384 146 1.790
Total 340.140 149
Q.8S32 Between Groups 37.796 3 12.599 15.810 .000
Within Groups 116.344 146 .797
Total 154.140 149
Q.8S33 Between Groups 8.028 3 2.676 2.420 .068
Within Groups 161.445 146 1.106
Total 169.473 149
Q.8S34 Between Groups .664 3 .221 .299 .826
Within Groups 108.196 146 .741
Total 108.860 149
Q.8S35 Between Groups 16.739 3 5.580 4.866 .003
Within Groups 167.401 146 1.147
Total 184.140 149
Q.8S36 Between Groups 2.682 3 .894 .738 .531
Within Groups 176.812 146 1.211
Total 179.493 149
Q.8S37 Between Groups 8.710 3 2.903 3.192 .025
Within Groups 132.783 146 .909
Total 141.493 149
Q.8S38 Between Groups 8.816 3 2.939 2.567 .057
163
Within Groups 167.158 146 1.145
Total 175.973 149
5.2.1 Hypothesis of Study & Findings:
(1) H0: There is no significant difference between mean values for cities with regard to
Derivatives as an effective risk management tools:
The above result clearly indicates that the value of F = 2.183 with 3 and 146 degrees of
freedom, resulting in a probability of 0.093. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Derivative is risk management tool” for various categories of cities.
As can be seen from above table, the sample means, with values of 3.89, 3.56, 3.28, 3.58
are also quite same.
(2) H0: There is no significant difference between mean values for cities with regard to
Futures and options helps in discovery of prices in better way:
The above tables clearly indicates that the value of F = 2.98 with 3 and 146 degrees of
freedom, resulting in a probability of 0.070. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Futures and options helps in discovery of prices in better way” for
various categories of cities. As can be seen from above table, the sample means with
values are also quite same.
(3) H0: There is no significant difference between mean values for cities with regard to
F&O enables to expand volume of activity:
The above tables clearly indicates that the value of F = 1.037 with 3 and 146 degrees of
freedom, resulting in a probability of 0.378. As the associated probability value of F-test
164
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “F&O enables to expand volume of activity” for various categories of
cities. As can be seen from above table, the sample means with values are also quite
same.
(4) H0: There is no significant difference between mean values for cities with regard to
Derivatives help to hedge/transfer risk completely:
The above tables clearly indicates that the value of F = 0.248 with 3 and 146 degrees of
freedom, resulting in a probability of 0.863. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Derivatives help to hedge/transfer risk completely” for various
categories of cities. As can be seen from above table, the sample means with values are
also quite same.
(5) H0: There is no significant difference between mean values for cities with regard to
Futures and options helps to eliminate risk completely:
The above tables clearly indicates that the value of F = 10.546 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000 As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected. So, there is a significance difference between mean values of dependent
variable “Futures and options helps to eliminate risk completely” for various categories
of cities. As can be seen from above table, the sample means with values are also quite
different.
(6) H0: There is no significant difference between mean values for cities with regard to
Futures and options helps to minimize risk by locking in prices:
165
The above tables clearly indicates that the value of F = 0.809 with 3 and 146 degrees of
freedom, resulting in a probability of 0.491. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Futures and options helps to minimize risk by locking in prices” for
various categories of cities. As can be seen from above table, the sample means with
values are also quite same.
(7) H0: There is no significant difference between mean values for cities with regard to
Hedging via derivatives reaps more profits in bullish/bearish Market:
The above tables clearly indicates that the value of F = 1.297 with 3 and 146 degrees of
freedom, resulting in a probability of 0.278. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Hedging via derivatives reaps more profits in bullish/bearish
Market” for various categories of cities. As can be seen from above table, the sample
means with values are also quite same.
(8) H0: There is no significant difference between mean values for cities with regard to
Derivatives induces more speculation:
The above tables clearly indicates that the value of F = .779 with 3 and 146 degrees of
freedom, resulting in a probability of 0.508. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Derivatives induces more speculation” for various categories of
cities. As can be seen from above table, the sample means with values are also quite
same.
(9) H0: There is no significant difference between mean values for cities with regard to
F&O helps to benefit of price discrepancy:
166
The above tables clearly indicates that the value of F = 3.724 with 3 and 146 degrees of
freedom, resulting in a probability of 0.013. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected. So, there is a significance difference between mean values of dependent
variable “F&O helps to benefit of price discrepancy” for various categories of cities. As
can be seen from above table, the sample means with values are also quite different.
(10) H0: There is no significant difference between mean values for cities with regard to
Derivatives reduces transaction costs.:
The above tables clearly indicates that the value of F =0 .641 with 3 and 146 degrees of
freedom, resulting in a probability of 0.591. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted. So, there is no significance difference between mean values of
dependent variable “Derivatives reduces transaction costs” for various categories of
cities. As can be seen from above table, the sample means with values are also quite
same.
(11) H0: There is no significant difference between mean values for cities with regard to
benefit of large position with fewer margins:
The above tables clearly indicates that the value of F =1.383 with 3 and 146 degrees of
freedom, resulting in a probability of 0.250. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(12) H0: There is no significant difference between mean values for cities with regard to a
hedge against inflation, interest rate:
167
The above tables clearly indicates that the value of F = 9.128 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected. So, there is a significance difference between mean values of dependent
variable “hedge against inflation, interest rate” for various categories of cities. As can be
seen from above table, the sample means with values are also quite different.
(13) H0: There is no significant difference between mean values for cities with regard to
Derivatives removes problem of bad delivery:
The above tables clearly indicates that the value of F =2.228 with 3 and 146 degrees of
freedom, resulting in a probability of 0.087. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(14) H0: There is no significant difference between mean values for cities with regard to
Derivatives enable access to estimates of the riskiness of corporate performance and
stock prices:
The above tables clearly indicates that the value of F = 8.140 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected. So, there is a significance difference between mean values of dependent
variable for various categories of cities. As can be seen from above table, the sample
means with values are also quite different.
(15) H0: There is no significant difference between mean values for cities with regard to
Derivatives enable the shifting of risk from those unwilling to bear risk to those willing to
bear risk
The above tables clearly indicates that the value of F =0.789 with 3 and 146 degrees of
freedom, resulting in a probability of 0.502. As the associated probability value of F-test
168
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(16) H0: There is no significant difference between mean values for cities with regard to
Derivative in India lacks proper accounting system, efficient internal control and strict
supervision
The above tables clearly indicates that the value of F =1.905 with 3 and 146 degrees of
freedom, resulting in a probability of 0.131. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(17) H0: There is no significant difference between mean values for cities with regard to
Derivatives destabilize associated spot market by increasing spot price volatility.
The above tables clearly indicates that the value of F =0.629 with 3 and 146 degrees of
freedom, resulting in a probability of 0.597. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(18) H0: There is no significant difference between mean values for cities with regard to
Transmission of volatility from future to spot market raises expected rate of return further
leading to misallocation of resources and the potential loss of welfare of the economy
The above tables clearly indicates that the value of F =0.634 with 3 and 146 degrees of
freedom, resulting in a probability of 0.594. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(19) H0: There is no significant difference between mean values for cities with regard to
Derivative trading brings more information to the market and allows for quicker
disseminations of information.
169
The above tables clearly indicates that the value of F =0.883 with 3 and 146 degrees of
freedom, resulting in a probability of 0.451. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(20) H0: There is no significant difference between mean values for cities with regard to
Trading in derivative does affect underlying cash market
The above tables clearly indicates that the value of F =1.266 with 3 and 146 degrees of
freedom, resulting in a probability of 0.288. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(21) H0: There is no significant difference between mean values for cities with regard to
Derivatives help the investors to adjust the risk and return to create and manage portfolio
carefully.
The above tables clearly indicates that the value of F =14.704 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected.
(22) H0: There is no significant difference between mean values for cities with regard to
Derivatives provide signals of market movement efficiently
The above tables clearly indicates that the value of F =6.151 with 3 and 146 degrees of
freedom, resulting in a probability of 0.001. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected
170
(23) H0: There is no significant difference between mean values for cities with regard to
Lot size of derivative contracts should be reduced to increase participation in the market.
The above tables clearly indicates that the value of F =5.435 with 3 and 146 degrees of
freedom, resulting in a probability of 0.001. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected.
(24) H0: There is no significant difference between mean values for cities with regard to
Derivative market is properly regulated.
The above tables clearly indicates that the value of F =14.663 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected.
(25) H0: Derivatives contracts are flexible enough allowing us to deal into variety of
different trades
The above tables clearly indicates that the value of F =15.810 with 3 and 146 degrees of
freedom, resulting in a probability of 0.000. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected.
(26) H0: There is no significant difference between mean values for cities with regard to
More no. of scrips should be allowed.
The above tables clearly indicates that the value of F =2.420 with 3 and 146 degrees of
freedom, resulting in a probability of 0.068. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
171
(27) H0: There is no significant difference between mean values for cities with regard to
Trading lowers cost of capital.
The above tables clearly indicates that the value of F =4.866 with 3 and 146 degrees of
freedom, resulting in a probability of 0.003. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected
(28) H0: There is no significant difference between mean values for cities with regard to
No mechanism for stock selection:
The above tables clearly indicates that the value of F =0.738 with 3 and 146 degrees of
freedom, resulting in a probability of 0.531. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted
(29) H0: There is no significant difference between mean values for cities with regard to
Cash settlement
The above tables clearly indicates that the value of F =3.192 with 3 and 146 degrees of
freedom, resulting in a probability of 0.025. As the associated probability value of F-test
is less than the significance level of 0.050, the null hypothesis of equal population means
is rejected
(30) H0: There is no significant difference between mean values for cities with regard to
derivatives provides very good return in terms of capital appreciation of wealth.
The above tables clearly indicates that the value of F =2.567 with 3 and 146 degrees of
freedom, resulting in a probability of 0.057. As the associated probability value of F-test
is more than the significance level of 0.050, the null hypothesis of equal population
means is accepted.
172
(31) H0: there is no significant difference between mean values for cities with regard to
need to strengthen regulations in India:
The above table clearly indicates that the value of F = 15.810 with 3 and 146 degrrees of
freedom, resulting into a probability of 0.0000. As the associated probability value of F
test is less than the significance level of 0.050, the null hypothesis of equal means is
rejected.
173
5.3 FACTOR ANALYSIS
5.3.1 An Introduction:
Use of multivariate statistical technique of factor analysis increased during the past
decade in all fields of business related research. As the number of variable to be
considered in multivariate techniques increases so does the need for increased knowledge
of the structure and interrelationships of the variables.
Factor analysis is an interdependence technique whose primary purpose is to define
underlying structure among the variables in the analysis127. Obviously variables play a
key in multivariate analysis. Broadly speaking, factor analysis provides the tools for
analyzing structure of the interrelationships (correlations) among a large number of
variables by defining sets of variables that are highly interrelated, known as factors.
These groups of variables (factors) that are by definition highly inter correlated, are
assumed to represent dimension within the data if we are only concerned with reducing
the number of variables, than the dimensions can guide in creating new composite
measures. On the other hand, if we have a conceptual basis for understanding the
relationship between variables, than the dimensions may actually have meaning for what
they collectively represent. In latter case, these dimensions may correspond to the
concepts that can not be adequately described by a single measure. We will see that
factor analysis presents several ways of representing these groups of variables for using
other multivariate technique.
We should note at this point that factor analytic techniques can achieve their purpose
from either an exploratory of confirmatory perspective.
127 Hair, et al., Multivariate Data Analysis, (New Delhi, Pearson Education, 2008), pp. 125-155.
174
5.3.2 Factor Analysis Process
Stage 1: Objective of factor analysis.
Factor analysis can identify the structure of variables as well as provide a process for data
reduction. In my study, the perceptions of HNI investors on 30 attributes are examined.
Stage 2: Designing a factor analysis
Understanding the stricture of the perceptions of variables require R-type factor analysis
and correlation matrix between variables, not respondents. All the variables are metric
and constitute s homogenous set of perceptions appropriate for factor analysis.
Stage 3: Assumptions in Factor analysis
The underlying statistical assumptions influence factor analysis to the extent that they
affect the derived correlations. Departure from normality, homoscedasticity, and linearity
can diminish correlations between variables. The researcher can asses the overall
significance of the correlation matrix with the Bartlett test and factorability of the overall
set of variables and individual variables using the measure of the sampling adequacy
(MSA). Because factor analysis will always derive factors, the objective is to ensure a
base level of statistical correlations within the set of variables, such that the resulting
factor structure has objective basis.
In our example, the Bartlett’s test finds that correlations, when taken collectively, are
significant at the 0.0000 level. This test only indicates the presence of nonzero
correlations, not the pattern of correlations. The measure of sampling adequacy (MSA)
looks not only at the correlations but their patterns between variables. In this situation the
overall MSA value should fall in the acceptable rage above 0.50. Variables that have
MSA values under 0.50 will be omitted and deleted from analysis. Again MSA values
will be recalculated and verified.
175
Stage 4: Deriving factors and assessing overall fit.
Given that the Principal component method of extraction will be used first, next decision
is to select the number of components to be retained for further analysis. As discussed
earlier the researcher should employ a number of different criteria in determining number
of factors to be retained for interpretation, ranging from more subjective to more
objective. In addition to assessing the importance of each component, we can also use the
eigenvalues to assist in selecting the number of factors. Factor with eigenvalues greater
then 1.0 can be retained.
Stage 5: interpreting the factors
Once the factor matrix of loading has been calculated, interpretation process proceeds by
examining the unrotated and than rotated factor matrices for significant factor loadings
and adequate communalities. If deficiencies are found, respecification of the factor is
considered. Once the factors are finalized, they can be described based on significant
factor loadings characterizing each factor.
Step 1: Examine the factor matrix of loadings for the Unrotated factor matrix: Factor
loadings, in either the unrotated or rotated factor matrices, represent the degree of
association (correlations) of each variable with each factor. The loadings take on a key
role in interpretation of the factors. We will first examine the unrotated factor solution
and determine whether the use of the rotated solution is necessary. The total amount of
variance explained by either a single factor or the overall factor solution can be compared
to the total variations in the set of variables as represented by the Trace.
Step 2: Identify the significant loadings in the unrotated factor matrix: having defined
various elements of unrotated factor matrix.
Step 3: Asses the communalities of the variables in the unrotated factor matrix: the row
sum of squared factor loadings, known as communalities, show the amount of variance in
a variable that is accounted for by the two factors taken together. The size of the
communality is a useful index for assessing how much variance in a particular variable is
176
accounted for by the factor solution. Either communality value indicates that a large
amount of the variance in variable has been extracted by the factor solution. Small
communalities show that a substantial portion of the variable’s variance is not accounted
for by the factors. Practical considerations dictate a lower than 0.50 for communalities
will be eliminated.
Give that the unrotated factor matrix did not have a completely clean set of factor
loadings; rotation technique can be applied to hopefully improve the interpretation. In
this case, the VARIMAX rotation is used. If any problems like non significant loadings,
cross loadings remain, respecification of the factor analysis has been considered.
Step 4: Respecify the factor model if needed: another rotation will be performed after
deleting any Variable having cross loadings. Many times, the number of factors will be
decreased also.
Step 5: Naming the factors: when a satisfactory solution has been derived, the next
attempt is to assign some meaning to the factors.
5.3.3 Conducting Factor analysis for Perceptions of Investors: A Detailed
Explanation
The steps involved in conducting factor analysis for the 30 statements of Question no. 8
underlying the perception of HNI investors regarding various features, benefits and
demerits of Derivatives are amplified below. A sample of 150 respondents from four
cities of Gujarat was taken. The respondents were asked to indicate their degree of
agreement with the statements using a 5-point scale (5 = Strongly Agree,,,, 1=Strongly
Disagree).
(1) Reliability Analysis: Reliability is an assessment of the degree of consistency
between multiple measurements of a variable. The objective is to ensure that responses
are not too varied across time periods so that a measurement taken at any point of time is
reliable. Researcher has used Cronbach’s alpha which is a diagnostic measure and
177
reliability coefficient assessing the consistency of entire scale. The generally agreed upon
lower limit for Cronbach’s alpha is 0.70. In our example of Question no. 8, Cronbach’s
Alpha of all 30 statements is 0.703 which is higher than acceptable level indicating a very
good overall consistency.
Table 5.16: Case Processing Summary and Reliability Statistics
(2) Testing Appropriateness by KMO Statistic and Bartlett’s test of sphericity:
As we know that researcher has to ensure that the data matrix has sufficient correlations
to justify the application of factor analysis. Formal statistics are available for testing the
appropriateness of factor model. Bartlett’s test of sphericity determines the overall
significance of all correlations within a correlation matrix. Bartlett’s test of sphericity is
used to test the null hypothesis that the variables are uncorrelated. A large value of chi-
square statistic will reject the null hypothesis indicating significance of all correlations.
Another useful statistic is Kaiser-Meyer-Olkin (KMO) measure of Sampling
Adequacy which quantify the degree of intercorrelations among the variables and
appropriateness of factor analysis. MSA value grater than 0.50 is desirable.
Table 5.17: KMO and Bartlett's Test
Kaiser-Meyer-Olkin Measure of
Sampling Adequacy. 0.708
Bartlett's Test of
Sphericity
Approx. Chi-
Square 2798.884
df 435
Sig. 0.000
In our example, above result clearly indicates that the null hypothesis of all variables are
uncorrelated, is rejected because of higher value of chi-square statistic is 2798.884 with
435 degree of freedom. Significance level of 0.000 (which is ideal one) indicates that
correlations exist among the variables to proceed.
Cronbach's Alpha N of Items
.703 30
178
Even KMO measure of sampling adequacy is 0.708, a very large value, which exceeds
minimum acceptable level of 0.50, suggesting that factor analysis can be considered an
appropriate technique for analyzing the correlation matrix of Question no.8.
(3) Measure of Sampling Adequacy (Anti-Image Correlation matrix):
Apart from calculating KMO measure of sampling adequacy for appropriateness of
Factor analysis, a Variable-Specific Measure of Intercorrelations needs to be established
from Anti-Image correlation matrix. Anti-image correlation matrix shows a variable’s
correlations with the other variables in the analysis. The researcher should examine the
MSA values for each variable and exclude those falling in the unacceptable range. In
deleting variables, the researcher should first delete the variable with lowest MSA and
then recalculate the factor analysis. Continuing the process of deleting the variable with
the lowest MSA value under 0.50 until all variables have an acceptable MSA value.
For Table of Anti-image correlation matrix of question 8, refer Annexure 2
In our example, above table of anti-image correlation matrix indicates the partial
correlations among variables representing the degree to which the factors explain each
other in the results. The diagonal values contain Measures of Sampling Adequacy for
each variable and the off-diagonal values are partial correlations among variables.
In the diagonal MSA values, we can see that Variable named Q.8S29, Q.8S30, Q.8S36
are having value less than 0.50. As Variable Q.8S29 is having the lowest MSA values of
0.469 in all variables, this variable will be deleted from the list of variables and Revised
Anti-Image correlation matrix will be calculated. Every time, variable with values less
than 0.50 will be omitted from the factor analysis one at a time, with smallest one being
omitted each time. In our case, we revised Anti-image correlation matrix for another two
times deleting Variable Q8S30 and Q8S36 one by one.
(4) Factor Extraction:
179
Once it has been determined that factor analysis is appropriate technique for analyzing
the data, an appropriate method must be selected. The two basic approaches are
Principal components analysis and common factor analysis.
• Principal Component analysis is used when the objective is to determine the
minimum number of factors that will account for maximum variance in the data
for use in subsequent multivariate analysis. The factors are called Principal
Components. Specifically, with the component analysis, unities (values of 1.0) are
inserted in the diagonal of the correlation matrix, so that the full variance is
brought into the factor matrix.
• Common factor analysis, in contrast considers only the common or shared
variance.
Researcher has used Principal Component Analysis as a method of extracting factors.
Understanding communality: in order to select between the two methods of factor
extraction, we need to understand the variance for variable and how it is divided or
partitioned. Variance is value that represents the total amount of dispersion of values for
a single variable about its mean. When variance is shared with all other variables in the
analysis is known as Common variance or Communality.
Once individual variables achieve an acceptable level of MSA values from Anti-image
correlation matrix, next move is look for communalities.
SPSS table given below shows the communalities before and after extraction. Principal
component analysis works on the initial premise that all variance is common; therefore
before extraction all communalities are 1.0. The communalities in the column labeled
‘extraction’ reflect the common variance in the data structure. So for example, we can say
that 79.6% of variance associated with Question 8S1 is common or shared variance.
In our example, we can see from the table given below that, by applying Principal
Component analysis for factor extraction, Variable named Q8S38 has lowest value of
O.333 (Table 5.18) which is less than minimum acceptable value of 0.5, so this variable
will be deleted and process of extraction will be revised.
180
Table 5.18: Communalities Initial Extraction
Q.8S1 1.000 .796
Q.8S2 1.000 .747
Q.8S3 1.000 .380
Q.8S4 1.000 .672
Q.8S5 1.000 .797
Q.8S6 1.000 .573
Q.8S8 1.000 .591
Q.8S9 1.000 .777
Q.8S10 1.000 .638
Q.8S11 1.000 .676
Q.8S14 1.000 .421
Q.8S16 1.000 .840
Q.8S18 1.000 .581
Q.8S19 1.000 .762
Q.8S21 1.000 .651
Q.8S22 1.000 .577
Q.8S23 1.000 .776
Q.8S24 1.000 .672
Q.8S25 1.000 .621
Q.8S26 1.000 .763
Q.8S27 1.000 .818
Q.8S28 1.000 .571
Q.8S31 1.000 .719
Q.8S33 1.000 .721
Q.8S35 1.000 .706
Q.8S37 1.000 .623
Q.8S38 1.000 .333
Extraction Method: Principal Component Analysis.
Revised Anti-image and Revised Communality: process of revising Anti-Image
correlation matrix and Communality will be done by deleting smallest value of MSA and
Communality value respectively until all variables achieve acceptable values.
Every time MSA values and communality will be checked whenever Factor model
Respecified.
181
In our example, we deleted variables named Q8S30, Q8S36, Q8S38, Q.8S19, Q8S14,
Q.8S3, Q8S21, Q8S37 one by one by revising Anti-image correlation matrix and
Communality table.
Eigenvalues and Total Variance explained:
Eigenvalues represents the amount of variance accounted for by a factor. The table
labeled “Initial eigenvalues” gives the eigenvalues. The eigenvalues for the factors are as
expected; in decreasing order of magnitude as we go from factor one to last factor.
Component 1 explains 30.003 % of total variance. (Eigenvalues over 1 option is selected
so that our SPSS output will result in that format).
In the column labeled “extraction of sum of squared loadings”, the values are the same as
the values before extraction, except that the values for discarded factors are ignored. In
the final part of table (last column) labeled ‘Rotation of sum of squared loadings’, the
eigenvalues after rotation are displayed. Interpretation of the solution is often enhanced
by a rotation of the factors.
It is recommended that the factors extracted should account for at least 60 percent of the
total variance. In our example this comes to 70.192 % fairly higher than minimum
acceptable level.
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Table 5.19: Total Variance Explained Component Initial Eigenvalues Extraction Sums of Squared Loadings Rotation Sums of Squared Loadings
Total % of Variance Cumulative % Total % of Variance Cumulative % Total % of Variance Cumulative %
1 6.301 30.003 30.003 6.301 30.003 30.003 4.314 20.544 20.544
2 3.625 17.263 47.266 3.625 17.263 47.266 3.077 14.652 35.196
3 2.158 10.278 57.544 2.158 10.278 57.544 2.942 14.010 49.206
4 1.637 7.797 65.341 1.637 7.797 65.341 2.248 10.707 59.913
5 1.019 4.851 70.192 1.019 4.851 70.192 2.159 10.280 70.192
6 .880 4.192 74.385
7 .719 3.426 77.811
8 .702 3.341 81.152
9 .642 3.056 84.208
10 .606 2.887 87.095
11 .470 2.237 89.332
12 .402 1.915 91.247
13 .362 1.724 92.971
14 .305 1.453 94.424
15 .252 1.201 95.625
16 .212 1.011 96.636
17 .180 .857 97.493
18 .175 .834 98.327
19 .140 .667 98.994
20 .115 .547 99.541
21 .096 .459 100.000
Extraction Method: Principal Component Analysis.
(5) Factor Rotation (Interpretation):
First, the initial unrotated Factor matrix is computed containing the factor loadings for
each variable on each factor. Factor loadings are the correlation of each variable and the
factor. Loadings indicate the degree of correspondence between the variable and the
factor. As this unrotated factor matrix does not provide any adequate interpretation of the
variables under examination, next is to employ a rotational method to achieve simpler
and more meaningful solutions. The ultimate effect of rotating the factor matrix is to
redistribute the variance from earlier factors.
The simplest case of rotation is an orthogonal factor rotation, in which the axes are
maintained at 90 degrees. one of the approach of orthogonal rotation is VARIMAX
criterion which has been applied in our example.
183
The VARIMAX method maximises the sum of variances of required loadings of the
factor matrix.
Assessing factor loadings and identifying significant / cross loading: there are
guidelines for identifying significant loadings based on sample size, which says that
Loadings + or – 0.50 or greater are considered practically significant.
Interpretation should start with first variable on the first factor and move horizontally
from left to right. When a variable is found to have more than one significant loading, it
is termed as Cross loading. Any variable having cross loading will be eliminated and
loadings will be recalculated. This process will continue till the we reach to that level
when rotated component matrix does not have any cross loading.
Table 5.20: Rotated Component Matrix (a) Component
1 2 3 4 5
Q.8S27 .862
Q.8S5 .826
Q.8S31 .790
Q.8S16 .712 .515
Q.8S33 -.678
Q.8S28 .531
Q.8S23 .892
Q.8S26 .779
Q.8S22 .760
Q.8S11 -.664
Q.8S2 .778
Q.8S4 .774
Q.8S6 .701
Q.8S1 .579 .630
Q.8S8 .506
Q.8S25 .790
Q.8S9 .737
Q.8S10 .511 -.608
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Q.8S24 .857
Q.8S35 .605
Q.8S18 .534
Extraction Method: Principal Component Analysis. Rotation Method: Varimax with
Kaiser Normalization. a Rotation converged in 8 iterations.
By looking at the above table, we come to know three Cross loadings with respect to
Variable named Q8S16, Q8S1, and Q.8S10 has been found. These variables will be
eliminated and next rotation process will be performed.
(6) Naming the Factors:
When a satisfactory solution has been derived, next attempt is assign some meaning to
the factors. The process involves substantive interpretation of the pattern of factor
loadings for the variables, including their signs, in an effort to name each of the factors.
In our example, naming of factors will be done based on Final Rotated Component
matrix given below.
Table 5.21: Final Rotated Component Matrix with variable name.
Variables Component
1 2 3 4
Derivative helps to manage portfolio. .870
Hedging via Derivative reaps more profits in bullish /
bearish market. .835
Derivative market is properly regulated. .798
Exchange should add / allow more no. of scrips on which
derivatives can be traded. .693
Derivative in India lacks proper accounting system, efficient
internal control and strict supervision. .596
Derivative trading brings more information to the market
and allows for quicker disseminations of information. .844
Trading in derivative does affect underlying cash market. .790
185
Derivatives provide signals of market movement efficiently. .773
Derivative reduces transaction cost in the market. .720
Futures and options induces more speculation in market
leading to destabilization of prices .829
Derivatives destabilize associated spot market by increasing
spot price volatility. .722
Trading of derivatives lower the cost of capital expected in
the market. -.655
Futures and options help to minimize risk considerably by
locking in prices. .783
Futures and options help to hedge/transfer risk efficiently. .759
Futures and options helps in discovery of prices in better
way. .709
Futures and options helps to eliminate risk completely. .520
Extraction Method: Principal Component Analysis. Rotation Method: Varimax with
Kaiser Normalization.
a Rotation converged in 7 iterations.
5.3.3.1 Factor Analysis Findings:
(1) Factor 1: Derivative segment:
All variable relating to this factor focuses upon Exchange related system with regard to
Adding new scrips or Requirement of proper accounting system. There is a highest
loading for derivatives help to manage portfolio followed by derivatives help to reap
profits.
(2) Factor 2: Information flow in market.
All variables focus more on information flow between derivative and spot market and its
benefits and demerits. Derivatives bring information to the market, derivative does affect
cash market are having highest loadings.
186
(3) Factor 3: Spot market volatility
All variables are related to Volume and price volatility of Derivatives affecting to spot
market. Derivatives does create volatility in the market, derivatives do destabilse
associated spot market.
(4) Factor 4: Risk Management: all variables in this factor are related to containment
of risk by derivative contracts.
5.3.4 Conducting Factor analysis on Factors to be considered while investing into
Derivatives:
The steps involved in conducting factor analysis for the 30 statements of Question no. 11
underlying the perception of HNI investors regarding various factors affecting to
Derivative investment are amplified below. A sample of 150 respondents from four cities
of Gujarat was taken. The respondents were asked to indicate their degree of importance
with the statements using a 5-point scale (5 = Most important,,,, 1=Unimportant).
(1) Reliability analysis: Researcher has used Cronbach’s alpha which is a diagnostic
measure and reliability coefficient assessing the consistency of entire scale. The generally
agreed upon lower limit for Cronbach’s alpha is 0.70. In our example of Question no. 8,
Cronbach’s Alpha of all 23 factors is 0.909 which is higher than acceptable level
indicating a very good overall consistency.
Table 5.22 Reliability Statistics
Cronbach's
Alpha
N of
Items
0.909 23
(2) Testing Appropriateness by KMO Statistic and Bartlett’s test of sphericity:
As we know that researcher has to ensure that the data matrix has sufficient correlations
to justify the application of factor analysis. Formal statistics are available for testing the
appropriateness of factor model. Bartlett’s test of sphericity determines the overall
187
significance of all correlations within a correlation matrix. Bartlett’s test of sphericity is
used to test the null hypothesis that the variables are uncorrelated. A large value of chi-
square statistic will reject the null hypothesis indicating significance of all correlations.
Another useful statistic is Kaiser-Meyer-Olkin (KMO) measure of Sampling
Adequacy which quantify the degree of intercorrelations among the variables and
appropriateness of factor analysis. MSA value grater than 0.50 is desirable.
Table 5.23: KMO and Bartlett's Test
Kaiser-Meyer-Olkin Measure of
Sampling Adequacy. 0.799
Bartlett's Test of
Sphericity
Approx. Chi-Square 2494.151
Df 253
Sig. .000
In our example, above result clearly indicates that the null hypothesis of all variables are
uncorrelated, is rejected because of higher value of chi-square statistic is 2494.151 with
253 degree of freedom. Significance level of 0.000 (which is ideal one) indicates that
correlations exist among the variables to proceed.
Even KMO measure of sampling adequacy is 0.799, a very large value, which exceeds
minimum acceptable level of 0.50, suggesting that factor analysis can be considered an
appropriate technique for analyzing the correlation matrix of Question no.11.
(3) Measure of Sampling Adequacy (Anti-Image Correlation matrix):
Apart from calculating KMO measure of sampling adequacy for appropriateness of
Factor analysis, a Variable-Specific Measure of Intercorrelations needs to be established
from Anti-Image correlation matrix. Anti-image correlation matrix shows a variable’s
correlations with the other variables in the analysis. The researcher should examine the
MSA values for each variable and exclude those falling in the unacceptable range. In
188
deleting variables, the researcher should first delete the variable with lowest MSA and
then recalculate the factor analysis. Continuing the process of deleting the variable with
the lowest MSA value under 0.50 until all variables have an acceptable MSA value.
Table of Anti-image correlation matrix of question 11, refer annexure No.3
In the diagonal MSA values, we can see that Variable named Q.11F15 is having value of
0.452 which is less than 0.50. This variable will be deleted from the list of variables and
Revised Anti-Image correlation matrix will be calculated. Every time, variable with
values less than 0.50 will be omitted from the factor analysis one at a time, with smallest
one being omitted each time. In our case, we revised Anti-image correlation matrix for
another two times deleting Variable Q11F150 and Q11F4 one by one.
(4) Factor Extraction:
Once it has been determined that factor analysis is appropriate technique for analyzing
the data, an appropriate method must be selected. The two basic approaches are
Principal components analysis and common factor analysis.
• Principal Component analysis is used when the objective is to determine the
minimum number of factors that will account for maximum variance in the data
for use in subsequent multivariate analysis. The factors are called Principal
Components. Specifically, with the component analysis, unities (values of 1.0) are
inserted in the diagonal of the correlation matrix, so that the full variance is
brought into the factor matrix.
• Common factor analysis, in contrast considers only the common or shared
variance.
Researcher has used Principal Component Analysis as a method of extracting factors.
Understanding communality: in order to select between the two methods of factor
extraction, we need to understand the variance for variable and how it is divided or
partitioned. Variance is value that represents the total amount of dispersion of values for
a single variable about its mean. When variance is shared with all other variables in the
analysis is known as Common variance or Communality.
189
Once individual variables achieve an acceptable level of MSA values from Anti-image
correlation matrix, next move is look for communalities.
SPSS table given below shows the communalities before and after extraction. Principal
component analysis works on the initial premise that all variance is common; therefore
before extraction all communalities are 1.0. The communalities in the column labeled
‘extraction’ reflect the common variance in the data structure. So for example, we can say
that 75.7% of variance associated with Question 11F1 is common or shared variance.
In our example, we can see from the table given below that, by applying Principal
Component analysis for factor extraction, Variable named Q11F16 has lowest value of
O.467 which is less than minimum acceptable value of 0.5, so this variable will be
deleted and process of extraction will be revised.
Table 5.24: Communalities Initial Extraction
Q.11F1 1.000 .757
Q.11F2 1.000 .686
Q.11F3 1.000 .612
Q.11F4 1.000 .656
Q.11F5 1.000 .700
Q.11F6 1.000 .782
Q.11F7 1.000 .703
Q.11F8 1.000 .865
Q.11F9 1.000 .794
Q.11F10 1.000 .685
Q.11F11 1.000 .711
Q.11F12 1.000 .753
Q.11F13 1.000 .691
Q.11F14 1.000 .726
Q.11F16 1.000 .467
Q.11F17 1.000 .832
Q.11F18 1.000 .797
Q.11F19 1.000 .648
Q.11F20 1.000 .753
Q.11F21 1.000 .806
190
Q.11F22 1.000 .569
Q.11F23 1.000 .664
Extraction Method: Principal Component Analysis.
Revised Anti-image and Revised Communality: process of revising Anti-Image
correlation matrix and Communality will be done by deleting smallest value of MSA and
Communality value respectively until all variables achieve acceptable values.
Every time MSA values and communality will be checked whenever Factor model
Respecified.
In our example, we deleted variables named Q11F6, Q11F4 one by one by revising Anti-
image correlation matrix and Communality table.
Eigenvalues and Total Variance explained:
Eigenvalues represents the amount of variance accounted for by a factor. The table
labeled “Initial eigenvalues” gives the eigenvalues. The eigenvalues for the factors are as
expected; in decreasing order of magnitude as we go from factor one to last factor.
Component 1 explains 40.781 % of total variance. (Eigenvalues over 1 option is selected
so that our SPSS output will result in that format).
In the column labeled “extraction of sum of squared loadings”, the values are the same as
the values before extraction, except that the values for discarded factors are ignored. In
the final part of table (last column) labeled ‘Rotation of sum of squared loadings’, the
eigenvalues after rotation are displayed. Interpretation of the solution is often enhanced
by a rotation of the factors.
It is recommended that the factors extracted should account for at least 60 percent of the
total variance. In our example this comes to 70.994 % fairly higher than minimum
acceptable level.
191
Table 5.25: Total Variance Explained and Eigenvalues Component Initial Eigenvalues Extraction Sums of Squared Loadings Rotation Sums of Squared Loadings
Total % of Variance Cumulative % Total % of Variance Cumulative % Total % of Variance Cumulative %
1 7.748 40.781 40.781 7.748 40.781 40.781 6.532 34.377 34.377
2 2.814 14.809 55.590 2.814 14.809 55.590 2.702 14.220 48.597
3 1.689 8.890 64.480 1.689 8.890 64.480 2.426 12.769 61.366
4 1.228 6.464 70.944 1.228 6.464 70.944 1.820 9.578 70.944
5 .862 4.539 75.483
6 .721 3.797 79.280
7 .621 3.271 82.551
8 .575 3.028 85.579
9 .475 2.501 88.080
10 .408 2.146 90.226
11 .370 1.946 92.171
12 .351 1.845 94.016
13 .280 1.474 95.490
14 .214 1.125 96.615
15 .201 1.055 97.671
16 .181 .953 98.624
17 .095 .502 99.126
18 .089 .471 99.597
19 .077 .403 100.000
Extraction Method: Principal Component Analysis.
(5) Factor Rotation (Interpretation):
First, the initial unrotated Factor matrix is computed containing the factor loadings for
each variable on each factor. Factor loadings are the correlation of each variable and the
factor. Loadings indicate the degree of correspondence between the variable and the
factor. As this unrotated factor matrix does not provide any adequate interpretation of the
variables under examination, next is to employ a rotational method to achieve simpler
and more meaningful solutions. The ultimate effect of rotating the factor matrix is to
redistribute the variance from earlier factors.
The simplest case of rotation is an orthogonal factor rotation, in which the axes are
maintained at 90 degrees. one of the approach of orthogonal rotation is VARIMAX
criterion which has been applied in our example.
192
The VARIMAX method maximises the sum of variances of required loadings of the
factor matrix.
Assessing factor loadings and identifying significant / cross loading: there are
guidelines for identifying significant loadings based on sample size, which says that
Loadings + or – 0.50 or greater are considered practically significant.
Interpretation should start with first variable on the first factor and move horizontally
from left to right. When a variable is found to have more than one significant loading, it
is termed as Cross loading. Any variable having cross loading will be eliminated and
loadings will be recalculated. This process will continue till the we reach to that level
when rotated component matrix does not have any cross loading.
Table 5.26: Rotated Component Matrix(a) Component
1 2 3 4 5
Q.11F8 .883
Q.11F17 .876
Q.11F9 .855
Q.11F18 .825
Q.11F12 .801
Q.11F14 .799
Q.11F13 .773
Q.11F5 .755
Q.11F7 .746
Q.11F3 .607
Q.11F21 .786
Q.11F22 .699
Q.11F20 .691
Q.11F19 .683
Q.11F23 .666
Q.11F11 .863
Q.11F10 .768
Q.11F1 .735
193
Q.11F2 .701
Q.11F4 .802
Q.11F6 .570 .584
Extraction Method: Principal Component Analysis. Rotation Method: Varimax with
Kaiser Normalization. a Rotation converged in 7 iterations.
By looking at the above table, we come to know one Cross loadings with respect to
Variable named Q11F6 has been found. These variables will be eliminated and next
rotation process will be performed.
(6) Naming the Factors:
When a satisfactory solution has been derived, next attempt is assign some meaning to
the factors. The process involves substantive interpretation of the pattern of factor
loadings for the variables, including their signs, in an effort to name each of the factors.
In our example, naming of factors will be done based on Final Rotated Component
matrix given below.
Final Rotated Component Matrix(a)
Component
1 2 3 4
Q.11F17 .874
Q.11F8 .870
Q.11F9 .851
Q.11F18 .840
Q.11F12 .805
Q.11F14 .804
Q.11F13 .773
Q.11F5 .748
Q.11F7 .730
Q.11F3 .566
Q.11F23 .751
194
Q.11F22 .744
Q.11F21 .713
Q.11F20 .685
Q.11F19 .607
Q.11F11 .876
Q.11F10 .760
Q.11F2 .723
Q.11F1 .706
Extraction Method: Principal Component Analysis. Rotation Method: Varimax with
Kaiser Normalization.
a Rotation converged in 5 iterations.
Table 5.27: Final rotated matrix with variable name.
Component
1 2 3 4
GDP .874
Index of Industrial Production .870
Money market movements .851
RBI monetary policy changes .840
Tax policy changes .805
Monsoon .804
Bullion & other commodity market movements .773
Exchange rate volatility .748
Inflation .730
Volatility in Global financial markets. .566
Business policy .751
Announcement regarding IPO .744
Announcement regarding M&A .713
Bonus announcement .685
195
Cash Market Volatility .607
Budget announcement .876
Political scenario / developments .760
MF activity .723
FII activity .706
5.3.4.1 Factor Analysis Findings:
Factor 1: Economy related factors
Looking at the variables grouped in factor 1, we can interpret and name factor 1 as
Economy related factors, as mostly all the variables represent economic indicators
affecting to the market and companies in general in stock market. We see that GDP has
high loading of 0.874, IIP has loadings of 0.870, Money market movements has a loading
of 0.851 and so on. There is high degree of interrelationship among these variables.
Variables like GDP, Money market movements, Index of industrial production,
Monsoon, tax policy changes, exchange rate volatility, and inflation are included in this
factor suggesting high degree of relationship among them.
Factor 2: Company related factors
Looking at the above table of final rotated factor matrix, we see that Business policy
changes, announcement regarding IPO, M&A, Bonus, we can interpret and name factor 2
as Company related factors. Business policy changes has got highest loading suggesting
its direct impact on future prices to be considered by all investors. IPO announcement is
also considered to be an important factor affecting to the investment into derivatives.
Factor 3: Government related factors
We can interpret factor 3 components as Government related factors as any major
announcement in budget by finance minister will affect the future market as well.
Political situation has also been considered as important factor to be reckoned with.
196
Factor 4: Institutional Factors
It is evident from the fact that FII buying and selling does affect the derivative market,
which is also vouched by the investors. We can interpret this factor as Institutional factor
as Both Domestic as well as FII activity determines volatility in derivative market now.
5.3.4.2 Linking factor analysis findings with demographic factor like city:
GDP – 96% of the investors surveyed in four cities believe GDP as an important factor to
be considered while investing into derivatives. Even within four cities surveyed, 97% of
investors based in Ahmedabad perceive GDP as an important factor. 92% of the investors
based in Surat believe GDP as an important factor. While 100% of investors based in
Rajkot and Baroda have considered GDP as an important factor while investing into
derivatives.
Business policy changes – 73% of the investors surveyed in four cities believe corporate
actions like Business policy changes are an important factor. Even within four cities
surveyed, 70% of the investors based in Ahmedabad consider it as an important factor.
84% of the investors based in Surat consider Business policy changes as an important
factor. While 68% and 70% of investors based in Rajkot and Baroda respectively
consider it as an important factor.
Budget Announcement – 91% of the investors surveyed in four cities perceive budget as
an important factor. Within four cities surveyed, 91%, 88% of the investors based in
Ahmedabad and Surat respectively consider it as an important factor. While 92% and
91% of the investors based in Rajkot and Baroda attach importance to it.
FII activity – 97% of the investors surveyed in four cities consider FII as an important
variable affecting to market. Even within four cities, 97% and 92% of the investors based
in Ahmedabad and Surat respectively consider it as important factor. While 100% of the
investors of both Rajkot and Baroda consider it as an important factor.
197
5.4 CLUSTER ANALYSIS.
5.4.1 Introduction
Cluster Analysis is a class of techniques used to classify objects or cases into relatively
homogeneous groups called clusters. Cluster analysis classifies objects (respondents) so
that each object is similar to others in the cluster based on a set of selected characteristics.
The resulting clusters of objects should exhibit high internal (within-cluster) homogeneity
and high external (between-cluster) heterogeneity. In this research, cluster analysis has
been used to group similar kind of objects (respondents) based on their perceptions.
5.4.2 Cluster Analysis Process
Stage 1: Objectives of cluster analysis.
The Primary goal of cluster analysis is to partition a set of objects into two or more
groups based on similarity of the objects for a set of specified characteristics. In this
research, respondents have been grouped based on their similarity into clusters. So,
instead of viewing all of the observations as unique, they can be viewed as members of
unique clusters and profiled by their general characteristics in this research.
Stage 2: Measuring Similarity
The concept of similarity is fundamental to cluster analysis. Interobject similarity is an
empirical measure of correspondence, or resemblance, between objects to be clustered.
Interobject similarity can be measured in variety of ways, but most commonly used
measure of similarity are Distance Measures. These distance measures represent
similarity as the proximity of observations to one another across the variables in the
cluster variate. Squared Euclidean distance is the most commonly recognized measure
of distance, which is the sum of squared differences without taking the square root.
Researcher has used this measure of similarity or distance in this research.
Stage 3: Assumptions in cluster analysis.
198
The researcher has assumed that sample is representative and the results are generalisable
to the population of interest.
Stage 4: Selecting clustering procedure & deciding on the no. of clusters to be
formed.
Having selected a distance or similarity measure, the partitioning process begins.
So, the first major question to answer in developing a cluster solution involves selecting
the partitioning procedure (i.e. placing similar objects into groups or clusters). The most
widely used procedure can be classified as either (1) Hierarchical or (2) Non-
Hierarchical.
(1) Hierarchical cluster procedure: Hierarchical procedure involves n – 1 clustering
decisions that combine observations into a hierarchy or a tree like structure. Hierarchical
methods can be Agglomerative or divisive methods. In the Agglomerative methods, each
object or observations starts out as its own cluster, while in divisive methods all
observations start in a single cluster and are successively divided.
Researcher has used Agglomerative hierarchical clustering method in this research.
Among numerous Agglomerative approaches like Linkage method, variance method, and
centroid method, A commonly used Ward’s procedure of Variance method has been
applied in this Research by the researcher. In this method, for each cluster, the distance
the cluster means is calculated and then these distances are summed for all the objects.
(2) Non Hierarchical Cluster procedure: A procedure that first assigns or determines a
cluster center and then groups all objects within a pre-specified threshold values from the
center. This method is frequently referred as K-means clustering. In this method, number
of cluster required must be pre-specified.
Here, in this research, Researcher has followed two-step approach of employing
both Hierarchical and Non Hierarchical methods. First, a Hierarchical technique is
used to generate a complete set of cluster solutions and second, Non hierarchical
technique is used to form final clusters.
Stage 5: Interpretation of clusters & assigning a label.
199
The interpretation stage involves examining each cluster in terms of cluster variate to
name or assign a label accurately describing the nature of clusters.
5.4.3 Conducting Cluster Analysis for Various Perception on Growth of Derivatives
in India: A Detailed Explanation
The steps involved in conducting cluster analysis for the 8 statements of Question no. 10
underlying the perception of HNI investors regarding their agreement over the important
reason for growth of Derivatives in India are amplified below. A sample of 150
respondents from four cities of Gujarat was taken. The respondents were asked to
indicate their degree of agreement with the statements using a 5-point scale (5 = Strongly
Agree,,,, 1=Strongly Disagree).
(1) Selecting a Distance or Similarity measure
The most commonly used measure of similarity is the Squared Euclidean distance, which
is the square root of the sum of the squared differences in values for each variable, has
been used in this research.
(2) Selecting a clustering procedure
Researcher has used Agglomerative method of Hierarchical clustering which starts with
each object in a separate cluster. Clusters are formed by grouping objects into bigger
clusters. One of the procedures of Agglomerative approach is Ward’s procedure which is
used by the researcher. At each stage, the two clusters with the smallest increases in the
overall sum of squares within cluster distance are combined in this method.
(3) Identifying and deciding on the number of clusters.
This can be done by looking at Agglomeration schedule, Dendogram and Icicle plot
obtained after running a hierarchical clustering procedure to find number of clusters in
the data.
Agglomeration schedule: Useful information is contained in the agglomeration
schedule, which shows from top to bottom the number of cases or clusters being
200
combined at each stage until at the last stage. The last row indicates one cluster, the row
before that indicates a 2-cluster solution and so on. Wherever maximum difference
between coefficients occurs, the lower row indicates the number of clusters.
In our example of Question no. 10, the first line represents stage 1, with 149 clusters.
Respondents 145 and 150 are combined at this stage, as shown in the columns labeled
“Cluster Combined”. The squared Euclidean Distance between these two respondents is
given under the column labeled “Coefficients”. The column entitled “stage cluster first
appears” indicates the stage at which a cluster is first formed. To illustrate, an entry of 1
at stage 6 indicates that respondent 145 was first grouped at stage 1. The last column
“Next stage” indicates the stage at which another case or cluster is combined with this
one. Because the number in the first line of the last column is 6, we see that at stage 6,
respondent 105 is combined with 145 and 150 to form a single cluster. Similarly, the
second line represents stage 2 with 148 clusters. In stage 2, respondents 139 and 149 are
grouped together.
Table 5.28: Agglomeration Schedule
Cluster Combined
Stage Cluster First
Appears
Stage Cluster 1 Cluster 2 Coefficients Cluster 1 Cluster 2 Next Stage
1 145 150 .000 0 0 6
2 139 149 .000 0 0 12
3 138 148 .000 0 0 13
4 137 147 .000 0 0 14
5 136 146 .000 0 0 15
6 105 145 .000 0 1 26
7 134 144 .000 0 0 17
8 133 143 .000 0 0 18
9 132 142 .000 0 0 19
10 131 141 .000 0 0 20
11 130 140 .000 0 0 21
12 14 139 .000 0 2 32
13 108 138 .000 0 3 33
14 58 137 .000 0 4 34
15 1 136 .000 0 5 35
16 125 135 .000 0 0 26
201
17 104 134 .000 0 7 37
18 103 133 .000 0 8 38
19 102 132 .000 0 9 39
20 101 131 .000 0 10 40
21 31 130 .000 0 11 41
22 119 129 .000 0 0 32
23 118 128 .000 0 0 33
24 117 127 .000 0 0 34
25 116 126 .000 0 0 35
26 105 125 .000 6 16 36
27 114 124 .000 0 0 37
28 113 123 .000 0 0 38
29 112 122 .000 0 0 39
30 111 121 .000 0 0 40
31 110 120 .000 0 0 41
32 14 119 .000 12 22 42
33 108 118 .000 13 23 131
34 58 117 .000 14 24 76
35 1 116 .000 15 25 45
36 105 115 .000 26 0 125
37 104 114 .000 17 27 136
38 103 113 .000 18 28 138
39 102 112 .000 19 29 129
40 101 111 .000 20 30 109
41 31 110 .000 21 31 50
42 14 109 .000 32 0 119
43 61 107 .000 0 0 76
44 100 106 .000 0 0 45
45 1 100 .000 35 44 66
46 88 99 .000 0 0 57
47 60 98 .000 0 0 77
48 52 97 .000 0 0 103
49 38 96 .000 0 0 92
50 31 95 .000 41 0 143
51 35 94 .000 0 0 125
52 21 93 .000 0 0 96
53 84 92 .000 0 0 119
54 79 91 .000 0 0 62
55 75 90 .000 0 0 65
56 65 89 .000 0 0 72
202
57 71 88 .000 0 46 97
58 57 87 .000 0 0 103
59 85 86 .000 0 0 109
60 81 83 .000 0 0 102
61 76 80 .000 0 0 111
62 5 79 .000 0 54 85
63 59 78 .000 0 0 78
64 74 77 .000 0 0 66
65 37 75 .000 0 55 126
66 1 74 .000 45 64 70
67 68 73 .000 0 0 70
68 3 72 .000 0 0 105
69 11 69 .000 0 0 115
70 1 68 .000 66 67 88
71 7 67 .000 0 0 110
72 4 65 .000 0 56 86
73 9 64 .000 0 0 105
74 10 63 .000 0 0 86
75 12 62 .000 0 0 85
76 58 61 .000 34 43 111
77 13 60 .000 0 47 106
78 2 59 .000 0 63 117
79 55 56 .000 0 0 80
80 54 55 .000 0 79 122
81 46 49 .000 0 0 114
82 44 45 .000 0 0 104
83 18 36 .000 0 0 128
84 6 24 .000 0 0 88
85 5 12 .000 62 75 107
86 4 10 .000 72 74 87
87 4 8 .000 86 0 110
88 1 6 .000 70 84 94
89 32 41 .500 0 0 93
90 17 33 1.000 0 0 98
91 16 19 1.500 0 0 100
92 20 38 2.167 0 49 101
93 30 32 3.000 0 89 107
94 1 29 3.929 88 0 113
95 66 70 4.929 0 0 121
96 21 43 6.262 52 0 118
203
97 26 71 7.762 0 57 120
98 17 47 9.262 90 0 113
99 27 28 10.762 0 0 112
100 16 23 12.262 91 0 116
101 20 39 13.845 92 0 117
102 81 82 15.845 60 0 114
103 52 57 17.845 48 58 120
104 44 53 19.845 82 0 135
105 3 9 21.845 68 73 115
106 13 40 24.095 77 0 127
107 5 30 26.387 85 93 132
108 15 42 28.887 0 0 130
109 85 101 31.744 59 40 129
110 4 7 34.744 87 71 126
111 58 76 37.855 76 61 121
112 25 27 41.022 0 99 124
113 1 17 44.211 94 98 116
114 46 81 47.411 81 102 136
115 3 11 50.744 105 69 123
116 1 16 54.277 113 100 118
117 2 20 58.027 78 101 123
118 1 21 62.435 116 96 137
119 14 84 66.935 42 53 138
120 26 52 71.685 97 103 128
121 58 66 76.846 111 95 141
122 22 54 82.096 0 80 130
123 2 3 87.840 117 115 127
124 25 34 93.673 112 0 133
125 35 105 99.673 51 36 139
126 4 37 106.491 110 65 140
127 2 13 114.106 123 106 132
128 18 26 122.856 83 120 140
129 85 102 132.082 109 39 135
130 15 22 141.332 108 122 133
131 50 108 152.165 0 33 139
132 2 5 163.119 127 107 137
133 15 25 176.419 130 124 143
134 48 51 190.919 0 0 142
135 44 85 206.169 104 129 141
136 46 104 222.569 114 37 142
204
137 1 2 239.512 118 132 144
138 14 103 257.012 119 38 145
139 35 50 276.250 125 131 146
140 4 18 297.717 126 128 144
141 44 58 321.534 135 121 145
142 46 48 346.184 136 134 147
143 15 31 374.384 133 50 146
144 1 4 412.853 137 140 148
145 14 44 460.328 138 141 147
146 15 35 537.756 143 139 148
147 14 46 625.775 145 142 149
148 1 15 768.182 144 146 149
149 1 14 1120.980 148 147 0
If we look at agglomeration schedule, going up from the last row to first row, stage 149
represents 1 cluster solution and so on. We have to identify how many clusters are there
in data. We use the difference between rows in a measure called “Coefficient” in column
4 to identify the number of clusters in data. We see that there is difference of 362.7
(1120.98 – 768.182) between 1 cluster solution at stage 149. Further there is a difference
of 142 (768.182 – 625.77) between 2 cluster solution at stage 148. The next difference is
of 88 (625.775 – 537.75). The next one after that is 77 (537.756 – 460.32). Thereafter
differences are significantly smaller not enough to decide. So, researcher can decide
either 4 cluster or 3 cluster solution depending upon membership of case in cluster
solution. If we look at number of membership in 4 cluster solution given in table below
by making simple frequency count, we see that 4 cluster solution results in clusters with
69, 30, 39, 12 elements. However if we go for 3 cluster solution, the sizes of clusters are
69, 30 and 51 which is more meaningful and very well distributed. So 3 cluster solution
should be selected for further Non-Hierarchical method analysis.
Icicle plot: Another important part of the output is contained in the icicle plot given in
the table below. The columns correspond to the objects being clustered. The rows
correspond to the number of clusters. This figure is read from bottom to top. At first, all
cases are considered as individual clusters. Because there are 150 respondents, there are
150 clusters. At the first step, the two closest objects are combined, resulting in 149
205
clusters. The last line of figure shows these 149 clusters. These two respondents 145 and
150 that have been combined at this stage 149 have between them all Xs in rows 1
through 149. hence, each subsequent step leads to the formation of a new cluster.
Dendogram: Another graphic device that is useful in displaying clustering results is
dendogram, which is read from left to right. Vertical line represents clusters that are
joined together. This gives the same conclusion as given by Agglomeration schedule.
Ultimately we decide cluster solution form cluster membership table, in which researcher
has confirmed 3 cluster solution to be specified for further procedure.
(4) Conducting Non-Hierarchical method of analysis
Once the number of clusters is identified, Researcher has conducted non hierarchical K-
cluster analysis to derive final stable clusters. The number of cluster decided (3 in our
example) will be specified and the output will be obtained.
Non hierarchical method gives the tabular output like Initial cluster centers, Final cluster
centers, Case listing of cluster memberships, distance between final cluster centers and
no. of cases in each cluster. Final cluster centers have been used to interpret the mean
values of each variable for a cluster, and there by describe the clusters.
Table 5.29: Initial Cluster Centers
Cluster
1 2 3
Q.10S1 5 1 4
Q.10S2 5 4 4
Q.10S3 5 2 2
Q.10S4 5 2 2
Q.10S5 5 2 1
Q.10S6 4 2 5
Q.10S7 4 1 5
Q.10S8 4 1 5
206
Table 5.30: Final Cluster Centers
Cluster
1 2 3
Q.10S1 4 1 3
Q.10S2 4 5 4
Q.10S3 4 4 3
Q.10S4 4 4 3
Q.10S5 4 2 3
Q.10S6 4 4 3
Q.10S7 4 3 4
Q.10S8 4 4 4
Table 5.31 Number of Cases in each Cluster
1 68.000
2 34.000
Cluster
3 48.000
Valid 150.000
Missing .000
Table 5.32: Cluster Membership
Case Number Cluster Distance
1 1 .833
2 1 1.451
3 1 1.481
4 1 1.686
5 1 1.410
6 1 .833
7 1 1.451
8 1 1.686
9 1 1.106
10 1 1.686
11 1 1.614
12 1 1.410
13 1 1.451
14 3 2.016
15 3 2.947
207
16 1 1.501
17 1 1.420
18 1 2.435
19 1 1.967
20 1 1.346
21 1 1.208
22 3 3.320
23 1 1.668
24 1 .833
25 3 2.554
26 1 1.812
27 1 3.099
28 3 2.350
29 1 1.471
30 1 .994
31 3 2.817
32 1 1.145
33 3 1.422
34 3 2.847
35 3 2.097
36 1 2.435
37 1 2.034
38 1 1.171
39 1 1.754
40 1 2.194
41 1 1.302
42 3 3.132
43 1 1.623
44 2 2.479
45 2 2.479
46 2 1.855
47 3 1.233
48 2 4.528
49 2 1.855
50 3 3.865
51 2 4.848
52 1 2.392
53 2 2.307
54 3 1.392
55 3 1.392
208
56 3 1.392
57 1 2.026
58 2 1.444
59 1 1.451
60 1 1.451
61 2 1.444
62 1 1.410
63 1 1.686
64 1 1.106
65 1 1.686
66 3 2.222
67 1 1.451
68 1 .833
69 1 1.614
70 3 2.278
71 1 1.530
72 1 1.481
73 1 .833
74 1 .833
75 1 2.034
76 2 1.806
77 1 .833
78 1 1.451
79 1 1.410
80 2 1.806
81 2 1.790
82 2 1.706
83 2 1.790
84 3 2.780
85 3 2.016
86 3 2.016
87 1 2.026
88 1 1.530
89 1 1.686
90 1 2.034
91 1 1.410
92 3 2.780
93 1 1.208
94 3 2.097
95 3 2.817
209
96 1 1.171
97 1 2.392
98 1 1.451
99 1 1.530
100 1 .833
101 2 1.581
102 2 1.902
103 3 1.887
104 2 2.812
105 3 1.984
106 1 .833
107 2 1.444
108 3 3.003
109 3 2.016
110 3 2.817
111 2 1.581
112 2 1.902
113 3 1.887
114 2 2.812
115 3 1.984
116 1 .833
117 2 1.444
118 3 3.003
119 3 2.016
120 3 2.817
121 2 1.581
122 2 1.902
123 3 1.887
124 2 2.812
125 3 1.984
126 1 .833
127 2 1.444
128 3 3.003
129 3 2.016
130 3 2.817
131 2 1.581
132 2 1.902
133 3 1.887
134 2 2.812
135 3 1.984
210
136 1 .833
137 2 1.444
138 3 3.003
139 3 2.016
140 3 2.817
141 2 1.581
142 2 1.902
143 3 1.887
144 2 2.812
145 3 1.984
146 1 .833
147 2 1.444
148 3 3.003
149 3 2.016
150 3 1.984
The table of Final cluster centers describe the mean value of each variable for each of the
3 clusters. For example, cluster 1 is described by the mean values of variable Q10S1 = 4,
variable Q10S2 = 4 and all variables have value equal to 4 in our example. Similiarly
cluster 3 is described by variable Q10S1 = 3, variable Q10S2 = 4 and so on.
If we go back to the original variables (in this case 8 statements), and if we take into
account cluster 1 in which all variables are having values 4 which is equivalent and near
agree on the scale of 1 to 5. so we can easily describe cluster 1 consists of people who
strongly believes that all variables are having importance in explosive growth of
derivatives in India.
Similarly, cluster 2 shows people who don’t consider global factors as important factor
(mean values are equal or less than 2) but give more importance to technological
advances and risk management strategies. While cluster 3 shows respondents who are
neutral in giving their opinions regarding factors contributing behind explosive growth of
derivatives in India.
211
5.4.3.1 Cluster Analysis Findings: (Interpreting the clusters.)
After having classified respondents into 3 clusters, emphasis will be given on describing
each cluster as follows.
Cluster 1: Investors belonging to this cluster are strong believers in all the factors who
have contributed towards the growth of derivatives in India. They are sure about all
global as well domestic factors have paved the way for emergence and growth of
derivatives in India.
Cluster 2: Investors belonging to this cluster do not consider global factors as important
one in explosive growth of derivatives. Even these people reject all other global factors
like integration and FIIs as important factor. They strongly consider internal factors like
govt. policy and modernization of banking as important factor behind explosive growth
of derivatives.
Cluster 3: Investors belonging to this cluster are neutral in their opinions regarding all
the factors mentioned indicating they did not give ample weighting to any of the factors
further suggesting any other reasons for growth of derivatives in India.
Segregation of Clusters members into cities in which they live:
After having described above clusters with their characteristics, Researcher has tried to
segregate and investigate that how many investors of Ahmedabad, Surat, Rajkot, and
Baroda form a part of which clusters mentioned above.
For the purpose of segregation and identification of cluster members / investors into cities
they belong, researcher has used Table 5.32 of cluster membership. If we look at this
table, case number denotes the number of respondents / investors. Second column
indicates the cluster to which they belong. As researcher has substituted the data in one
specific order only, It is relatively easy to identify and locate the city of one investor.
Column of Case number 1 to 75 are investors of Ahmedabad, while case number 76 to
212
100 are investors of Surat. Case number 101 to 125 belong to Rajkot and remaining are
from Baroda.
Segregation Cluster 1 Members: There are total 68 members of this cluster.
49 investors of cluster 1 belong to Ahmedabad.
14 investors of cluster 1 belong to Surat.
2 investors of cluster 1 belong to Rajkot.
3 investors of cluster 1 belong to Baroda.
Segregation Cluster 2 Members: There are total 34 members of this cluster.
9 investors of cluster 2 belong to Ahmedabad.
5 investors of cluster 2 belong to Surat.
11 investors of cluster 2 belong to Rajkot.
9 investors of cluster 2 belong to Baroda.
Segregation Cluster 3 Members: There are total 48 members of this cluster.
18 investors of cluster 3 belong to Ahmedabad.
6 investors of cluster 3 belong to Surat.
12 investors of cluster 3 belong to Rajkot.
12 investors of cluster 3 belong to Baroda
Analysis of above Findings:
From the above data, it can be inferred that 64% of investors of Ahmedabad believe in all
the factors who have contributed towards the growth of derivatives in India. They are
sure about all global as well domestic factors have paved the way for emergence and
growth of derivatives in India. Even within the cluster 1 solution, 72% belong to
Ahmedabad. While in the case of cluster 2 solution, 44% of investors of Rajkot do not
consider global factors as important one in explosive growth of derivatives, which is also
supported by 38% of investors of Baroda. In case of cluster 3 solution, 50% of the
investors of both Rajkot and Baroda are neutral in their responses.
213
Cluster Analysis for Q.8
5.4.4 Conducting Cluster Analysis on Various Perceptions about Derivatives: A
Detailed Explanation
The steps involved in conducting cluster analysis for the 8 statements of Question no. 8
underlying the perception of HNI investors regarding their perceptions about Derivatives
in India are amplified below. A sample of 150 respondents from four cities of Gujarat
was taken. The respondents were asked to indicate their degree of agreement with the
statements using a 5-point scale (5 = Strongly Agree,,,, 1=Strongly Disagree).
(1) Selecting a Distance or Similarity measure
The most commonly used measure of similarity is the Squared Euclidean distance, which
is the square root of the sum of the squared differences in values for each variable, has
been used in this research.
(2) Selecting a clustering procedure
Researcher has used Agglomerative method Hierarchical clustering which starts with
each object in a separate cluster. Clusters are formed by grouping objects into bigger
clusters. One of the procedures of Agglomerative approach is Ward’s procedure which is
used by the researcher. At each stage, the two clusters with the smallest increases in the
overall sum of squares within cluster distance are combined in this method.
(3) Identifying and deciding on the number of clusters.
This can be done by looking at Agglomeration schedule, Dendogram and Icicle plot
obtained after running a hierarchical clustering procedure to find number of clusters in
the data.
Agglomeration schedule: Useful information is contained in the agglomeration
schedule, which shows from top to bottom the number of cases or clusters being
combined at each stage until at the last stage. The last row indicates one cluster, the row
214
before that indicates a 2-cluster solution and so on. Wherever maximum difference
between coefficients occurs, the lower row indicates the number of clusters.
In our example of Question no. 8, the first line represents stage 1, with 149 clusters.
Respondents 145 and 150 are combined at this stage, as shown in the columns labeled
“Cluster Combined”. The squared Euclidean Distance between these two respondents is
given under the column labeled “Coefficients”. The column entitled “stage cluster first
appears” indicates the stage at which a cluster is first formed. To illustrate, an entry of 1
at stage 6 indicates that respondent 145 was first grouped at stage 1. The last column
“Next stage” indicates the stage at which another case or cluster is combined with this
one. Because the number in the first line of the last column is 6, we see that at stage 6,
respondent 105 is combined with 145 and 150 to form a single cluster. Similarly, the
second line represents stage 2 with 148 clusters. In stage 2, respondents 139 and 149 are
grouped together.
Table 5.33: Agglomeration Schedule
Cluster Combined Stage Cluster First
Appears
Stage
Cluster 1 Cluster 2
Coefficients
Cluster 1 Cluster 2
Next Stage
1 145 150 .000 0 0 6
2 139 149 .000 0 0 12
3 138 148 .000 0 0 13
4 137 147 .000 0 0 14
5 136 146 .000 0 0 15
6 105 145 .000 0 1 26
7 134 144 .000 0 0 17
8 133 143 .000 0 0 18
9 132 142 .000 0 0 19
10 131 141 .000 0 0 20
11 130 140 .000 0 0 21
12 14 139 .000 0 2 32
13 108 138 .000 0 3 33
14 58 137 .000 0 4 34
215
15 1 136 .000 0 5 35
16 125 135 .000 0 0 26
17 104 134 .000 0 7 37
18 103 133 .000 0 8 38
19 102 132 .000 0 9 39
20 101 131 .000 0 10 40
21 31 130 .000 0 11 41
22 119 129 .000 0 0 32
23 118 128 .000 0 0 33
24 117 127 .000 0 0 34
25 116 126 .000 0 0 35
26 105 125 .000 6 16 36
27 114 124 .000 0 0 37
28 113 123 .000 0 0 38
29 112 122 .000 0 0 39
30 111 121 .000 0 0 40
31 110 120 .000 0 0 41
32 14 119 .000 12 22 42
33 108 118 .000 13 23 140
34 58 117 .000 14 24 60
35 1 116 .000 15 25 44
36 105 115 .000 26 0 133
37 104 114 .000 17 27 141
38 103 113 .000 18 28 129
39 102 112 .000 19 29 140
40 101 111 .000 20 30 139
41 31 110 .000 21 31 50
42 14 109 .000 32 0 145
43 61 107 .000 0 0 60
44 1 106 .000 35 0 65
45 6 100 .000 0 0 72
46 88 99 .000 0 0 53
47 60 98 .000 0 0 68
48 52 97 .000 0 0 95
49 38 96 .000 0 0 89
50 31 95 .000 41 0 144
51 35 94 .000 0 0 84
52 21 93 .000 0 0 132
53 71 88 .000 0 46 86
216
54 57 87 .000 0 0 128
55 82 83 .000 0 0 56
56 81 82 .000 0 55 103
57 76 80 .000 0 0 119
58 74 77 .000 0 0 101
59 8 65 .000 0 0 109
60 58 61 .000 34 43 146
61 18 36 .000 0 0 107
62 10 63 .500 0 0 85
63 3 72 1.500 0 0 113
64 7 67 2.500 0 0 116
65 1 73 4.214 44 0 81
66 5 91 6.214 0 0 88
67 66 70 8.214 0 0 83
68 13 60 10.214 0 47 116
69 11 69 12.714 0 0 117
70 2 59 15.214 0 0 77
71 55 56 17.714 0 0 111
72 6 68 20.381 45 0 92
73 46 49 24.881 0 0 98
74 44 45 29.881 0 0 108
75 4 89 35.381 0 0 85
76 9 64 41.881 0 0 90
77 2 78 48.714 70 0 90
78 85 86 55.714 0 0 107
79 84 90 64.214 0 0 86
80 16 30 73.214 0 0 87
81 1 62 82.375 65 0 97
82 27 33 91.875 0 0 93
83 54 66 101.875 0 67 103
84 35 43 111.875 51 0 102
85 4 10 121.875 75 62 92
86 71 84 134.175 53 79 101
87 16 19 146.508 80 0 93
88 5 79 159.175 66 0 113
89 29 38 171.842 0 49 94
90 2 9 184.808 77 76 115
91 51 53 198.308 0 0 108
92 4 6 212.785 85 72 115
217
93 16 27 228.351 87 82 112
94 20 29 243.935 0 89 102
95 32 52 259.935 0 48 110
96 17 42 276.435 0 0 112
97 1 12 293.337 81 0 109
98 46 92 310.837 73 0 119
99 25 39 328.337 0 0 123
100 15 22 345.837 0 0 126
101 71 74 363.894 86 58 118
102 20 35 383.073 94 84 121
103 54 81 402.573 83 56 124
104 26 47 422.073 0 0 120
105 28 34 442.073 0 0 106
106 23 28 463.406 0 105 114
107 18 85 485.906 61 78 126
108 44 51 508.656 74 91 111
109 1 8 532.515 97 59 117
110 24 32 556.515 0 95 121
111 44 55 581.098 108 71 127
112 16 17 605.913 93 96 114
113 3 5 631.846 63 88 122
114 16 23 658.198 112 106 125
115 2 4 684.755 90 92 122
116 7 13 711.355 64 68 135
117 1 11 738.296 109 69 137
118 71 75 767.189 101 0 124
119 46 76 796.389 98 57 127
120 26 37 826.222 104 0 131
121 20 24 856.066 102 110 123
122 2 3 889.496 115 113 135
123 20 25 923.338 121 99 130
124 54 71 957.446 103 118 132
125 16 40 995.682 114 0 134
126 15 18 1035.182 100 107 136
127 44 46 1077.285 111 119 138
128 50 57 1123.285 0 54 133
129 48 103 1169.952 0 38 143
130 20 41 1217.122 123 0 131
131 20 26 1267.297 130 120 134
218
132 21 54 1322.252 52 124 138
133 50 105 1381.586 128 36 139
134 16 20 1441.691 125 131 136
135 2 7 1502.243 122 116 137
136 15 16 1578.472 126 134 144
137 1 2 1655.371 117 135 148
138 21 44 1734.459 132 127 142
139 50 101 1822.554 133 40 142
140 102 108 1930.054 39 33 141
141 102 104 2052.554 140 37 146
142 21 50 2176.137 138 139 143
143 21 48 2317.677 142 129 147
144 15 31 2461.112 136 50 145
145 14 15 2692.347 42 144 148
146 58 102 2929.393 60 141 147
147 21 58 3367.019 143 146 149
148 1 14 3857.718 137 145 149
149 1 21 4933.127 148 147 0
If we look at agglomeration schedule, going up from the last row to first row, stage 149
represents 1 cluster solution and so on. We have to identify how many clusters are there
in data. We use the difference between rows in a measure called “Coefficient” in column
4 to identify the number of clusters in data. We see that there is difference of 1075.409
(4933.127 – 3857.718) between 1 cluster solution at stage 149. Further there is a
difference of 490 (3857.718 – 3367.019) between 2 cluster solution at stage 148. The
next difference is of 437 (3367.019 – 2929.393). The next one after that is 238 (2929.393
– 2692.347). Thereafter differences are significantly smaller not enough to decide. So,
researcher can decide either 5 cluster or 4cluster solution depending upon membership of
case in cluster solution. If we look at number of membership in 4 cluster solution given in
table below by making simple frequency count, we see that 5 cluster solution results in
clusters with 69, 30, 39, 12 , 47 elements. However if we go for 4 cluster solution, the
sizes of clusters are 34, 48, 46, 22 which is more meaningful and very well distributed.
So 4 cluster solution should be selected for further Non-Hierarchical method analysis.
219
Icicle plot: Another important part of the output is contained in the icicle plot given in
the table below. The columns correspond to the objects being clustered. The rows
correspond to the number of clusters. This figure is read from bottom to top. At first, all
cases are considered as individual clusters. Because there are 150 respondents, there are
150 clusters. At the first step, the two closest objects are combined, resulting in 149
clusters. The last line of figure shows these 149 clusters. These two respondents 145 and
150 that have been combined at this stage 149 have between them all Xs in rows 1
through 149. hence, each subsequent step leads to the formation of a new cluster.
Dendogram: Another graphic device that is useful in displaying clustering results is
dendogram, which is read from left to right. Vertical line represents clusters that are
joined together. This gives the same conclusion as given by Agglomeration schedule.
Ultimately we decide cluster solution form cluster membership table, in which researcher
has confirmed 4 cluster solution to be specified for further procedure.
(4) Conducting Non-Hierarchical method analysis
Once the number of clusters is identified, Researcher has conducted non hierarchical K-
cluster analysis to derive final stable clusters. The number of cluster decided (4 in our
example) will be specified and the output will be obtained.
Non hierarchical method gives the tabular output like Initial cluster centers, Final cluster
centers, Case listing of cluster memberships, distance between final cluster centers and
no. of cases in each cluster. Final cluster centers have been used to interpret the mean
values of each variable for a cluster, and there by describe the clusters.
Table 5.34: Initial Cluster Centers – Non Hierarchical Method
Cluster
1 2 3 4
Q.8S1 4 5 1 5
Q.8S2 4 4 1 1
220
Q.8S3 4 4 1 5
Q.8S4 4 4 2 5
Q.8S5 3 5 1 2
Q.8S6 4 2 2 4
Q.8S8 4 4 2 2
Q.8S9 2 2 4 4
Q.8S10 5 5 1 2
Q.8S11 5 2 3 2
Q.8S14 4 5 2 5
Q.8S16 3 4 1 5
Q.8S18 1 4 2 4
Q.8S19 1 2 2 4
Q.8S21 1 4 2 4
Q.8S22 2 5 4 4
Q.8S23 2 5 5 2
Q.8S24 4 4 5 2
Q.8S25 2 2 2 5
Q.8S26 2 4 4 2
Q.8S27 1 4 3 4
Q.8S28 2 4 2 2
Q.8S29 4 5 2 5
Q.8S30 4 2 3 4
Q.8S31 2 5 1 4
Q.8S33 4 2 3 4
Q.8S35 3 5 2 2
Q.8S36 3 5 4 2
Q.8S37 3 4 2 2
Q.8S38 3 5 2 4
Table 5.35: Final Cluster Centers - Non Hierarchical Method
Cluster
1 2 3 4
Q.8S1 2 5 3 4
Q.8S2 2 4 3 2
Q.8S3 3 4 3 2
Q.8S4 2 4 3 4
Q.8S5 2 5 2 4
Q.8S6 2 4 3 4
221
Q.8S8 3 4 2 3
Q.8S9 2 3 4 4
Q.8S10 3 4 3 3
Q.8S11 3 2 3 2
Q.8S14 2 4 4 4
Q.8S16 2 5 2 2
Q.8S18 2 5 4 3
Q.8S19 1 3 3 3
Q.8S21 3 4 3 3
Q.8S22 5 4 2 4
Q.8S23 4 4 4 5
Q.8S24 4 2 4 4
Q.8S25 2 3 4 4
Q.8S26 2 4 5 4
Q.8S27 2 4 3 4
Q.8S28 3 4 3 4
Q.8S29 2 4 3 3
Q.8S30 5 4 3 2
Q.8S31 1 3 3 1
Q.8S33 5 4 3 5
Q.8S35 3 3 3 4
Q.8S36 4 3 2 3
Q.8S37 4 4 2 3
Q.8S38 2 4 2 4
Table 5.36: Number of Cases in each Cluster 1 25.000
2 38.000
3 43.000
Cluster
4 44.000
Valid 150.000
Missing .000
Table 5.37: Cluster Membership Case Number Cluster Distance
1 2 2.621
2 2 2.631
3 2 3.970
4 2 3.013
222
5 2 3.506
6 2 2.194
7 2 4.907
8 2 3.822
9 2 3.903
10 2 2.897
11 2 3.573
12 2 4.469
13 2 3.856
14 4 5.732
15 4 4.636
16 4 3.267
17 4 4.967
18 4 5.147
19 4 3.889
20 2 5.239
21 2 5.949
22 4 5.911
23 4 4.828
24 4 5.291
25 4 4.680
26 4 4.781
27 4 3.617
28 4 5.350
29 4 4.066
30 4 3.528
31 4 4.814
32 4 4.795
33 4 4.177
34 4 5.640
35 4 3.267
36 4 5.147
37 4 6.891
38 4 3.146
39 4 6.003
40 4 6.667
41 4 6.738
42 4 5.380
43 4 3.642
223
44 3 4.510
45 3 4.838
46 3 4.697
47 4 5.044
48 3 7.509
49 3 4.051
50 1 7.670
51 3 4.398
52 4 3.436
53 3 5.191
54 4 3.824
55 3 4.334
56 3 4.178
57 3 4.971
58 1 4.769
59 2 2.942
60 2 3.863
61 1 4.769
62 2 2.996
63 2 2.833
64 2 3.257
65 2 3.822
66 3 3.127
67 2 4.771
68 2 2.466
69 2 4.422
70 3 3.687
71 3 3.018
72 2 4.120
73 2 2.476
74 3 3.835
75 3 5.864
76 3 5.034
77 3 3.835
78 2 3.602
79 2 5.081
80 3 5.034
81 3 2.835
82 3 2.835
224
83 3 2.835
84 3 3.436
85 1 4.212
86 1 4.479
87 3 4.971
88 3 3.018
89 2 2.852
90 3 3.336
91 2 3.580
92 3 5.130
93 2 5.949
94 4 3.267
95 4 4.814
96 4 3.146
97 4 3.436
98 2 3.863
99 3 3.018
100 2 2.194
101 3 4.461
102 1 3.917
103 3 4.576
104 1 4.893
105 3 3.371
106 2 2.621
107 1 4.769
108 1 4.860
109 4 5.732
110 4 4.814
111 3 4.461
112 1 3.917
113 3 4.576
114 1 4.893
115 3 3.371
116 2 2.621
117 1 4.769
118 1 4.860
119 4 5.732
120 4 4.814
121 3 4.461
225
122 1 3.917
123 3 4.576
124 1 4.893
125 3 3.371
126 2 2.621
127 1 4.769
128 1 4.860
129 4 5.732
130 4 4.814
131 3 4.461
132 1 3.917
133 3 4.576
134 1 4.893
135 3 3.371
136 2 2.621
137 1 4.769
138 1 4.860
139 4 5.732
140 4 4.814
141 3 4.461
142 1 3.917
143 3 4.576
144 1 4.893
145 3 3.371
146 2 2.621
147 1 4.769
148 1 4.860
149 4 5.732
150 3 3.371
The table of Final cluster centers describe the mean value of each variable for each of the
4 clusters. For example, cluster 1 is described by the mean values of variable Q8S1 = 4,
Similarly cluster 4 is described by variable Q8S1 = 2, variable Q8S2 = 3 and so on.
5.4.4.1 Cluster Analysis Findings: (Interpreting the clusters.)
If we go back to the original variables (in this case statements of perceptions), and if we
take into account cluster 1 in which many variables are having values 2 which is
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equivalent and near disagree on the scale of 1 to 5. so we can easily describe cluster 1
consists of people who are strongly negative about the benefit of derivatives available in
market. While cluster 2 people completely opposite of cluster 1. cluster 2 members
strongly positive about benefits of derivatives in terms of hedging risk as well as
providing good return. Cluster 3 members are by and large neutral so far as benefits and
limitations of derivatives are concerned. Cluster 4 members are unique in nature as they
do agree with the benefits of derivatives but simultaneously they also agree with negative
effects of Derivatives in market especially destabilizing effects.
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CHAPTER 6
SUMMARY AND CONCLUSIONS
6.1 An Introduction
6.2 Scope of the Study
6.3 Data Collection and Research Methodology
6.4 Emergence of Derivatives as an Important Segment in Indian Capital Market
6.5 Conclusions related to Test of Differences
6.6 Conclusions related to Factor Analysis
6.7 Conclusions related to Cluster Analysis
6.8 Limitations of the Study
6.9 Directions for Further Research
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6.1 INTRODUCTION:
In the recent past the Indian Financial System has undergone sea changes and invented
many new channels of financial sub-systems through the process of financial reforms.
The past decade has witnessed the multiple growths in the volume of international trade
and business due to the wave of globalization and liberalization all over the world. As a
result, the demand for the international money and financial instruments increased
significantly at the global level. In this respect, changes in the interest rates, exchange
rates and stock market prices at the different financial markets have increased the
financial risks to the corporate world. Adverse changes have even threatened the very
survival of the business world. It is, therefore, to manage such risks; the new financial
instruments have been developed in the financial markets, which are also popularly
known as financial derivatives. The basic purpose of these instruments is to provide
commitments to prices for future dates for giving protection against adverse movements
in future prices, in order to reduce the extent of financial risks. Not only this, they also
provide opportunities to earn profit for those persons who are ready to go for higher risks.
In other words, these instruments, indeed, facilitate to transfer the risk from those who
wish to avoid it to those who are willing to accept the same.
Today, the financial derivatives have become increasingly popular and most commonly
used in the world of finance. This has grown with so phenomenal speed all over the
world that now it is called as the derivatives revolution.
6.2 SCOPE OF STUDY
The scope of this research study “An in-depth study of Organization and Working of
Derivatives in Indian capital market.’’ is limited to 1) know the perception of HNI
investors regarding equity derivatives traded on the floors of NSE only, and 2) to know
the various factors considered by HNI investors while investing into Derivatives. The
geographical scope of the study is limited to major cities of Gujarat region only. The
researcher has restricted the study to the HNI investors only.
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6.3 DATA COLLECTION AND RESEARCH METHODOLOGY
The data for the study is collected from secondary and primary sources. To develop
hypothesis, to isolate key variables and relationship, to provide insights into, and
understanding of, the problem, exploratory research design has been used. To identify the
problem, develop an approach to the problem and formulate an appropriate research
design, secondary data has been used. Secondary data was collected from libraries of
IIMA, NIM.
To collect information for the study, primary research has been used. Primary data was
collected through a structured questionnaire. Judgmental sampling method has been used
for data collection. The population elements have been selected based on the judgment.
HNI investors concerned with derivative trading formed the sampling unit. Data
preparation began with preliminary check of questionnaires for their correctness. Then
numerical codes were assigned to represent a specific response to a specific question. The
data was analyzed using SPSS. Hypothesis Testing using ANOVA, Factor Analysis,
Cluster Analysis methods of data analysis have been used.
6.4 EMERGENCE OF DERIVATIVES AS AN IMPORTANT SEGMENT IN
INDIAN CAPITAL MARKET.
Starting from a controlled economy, India has moved towards a world where prices
fluctuate every day. The introduction of risk management instruments in India gained
momentum in the last few years due to liberalisation process and Reserve Bank of India’s
(RBI) efforts in creating currency forward market. Derivatives are an integral part of
liberalisation process to manage risk. NSE gauging the market requirements initiated the
process of setting up derivative markets in India. In July 1999, derivatives trading
commenced in India. These derivatives can be classified into exchange traded versus
OTC.
230
Factors contributing to the explosive growth of derivatives are price volatility,
globalization of the markets, technological developments and advances in the financial
theories. Derivative market is growing very fast in the Indian Economy. The turnover of
Derivative Market is increasing year by year in the India’s largest stock exchange NSE.
Stock futures are still most popular among all varieties of contracts available in Indian
stock market.
Equity Derivatives have prominent place in Indian capital market looking at the huge
volume and number of contracts taking place in market. After having introduced
derivatives in India in 2000, there was a need to understand the perceptions of investors
who have done some trading in this segment. The research carried out here captured the
same with regard to its benefits, uses, demerits.
6.5 CONCLUSIONS RELATED TO HYPOTHESIS TESTING (TEST OF
DIFFERENCES)
Table 6.1: List of Hypothesis
Sr. No Hypothesis Result
1 H0: There is no significant difference between mean values
for cities with regard to Derivatives as an effective risk
management tools
Accepted
2 H0: There is no significant difference between mean values
for cities with regard to Futures and options helps in
discovery of prices in better way
Accepted
3 H0: There is no significant difference between mean values
for cities with regard to F&O enables to expand volume of
activity
Accepted
4 H0: There is no significant difference between mean values
for cities with regard to Derivatives help to hedge/transfer
risk completely.
Accepted
5 H0: There is no significant difference between mean values
for cities with regard to Futures and options helps to
Rejected
231
eliminate risk completely
6 H0: There is no significant difference between mean values
for cities with regard to Futures and options helps to
minimize risk by locking in prices
Accepted
7 H0: There is no significant difference between mean values
for cities with regard to Hedging via derivatives reaps more
profits in bullish/bearish Market
Accepted
8 H0: There is no significant difference between mean values
for cities with regard to Derivatives induces more speculation
Accepted
9 H0: There is no significant difference between mean values
for cities with regard to F&O helps to benefit of price
discrepancy.
Rejected
10 H0: There is no significant difference between mean values
for cities with regard to Derivatives reduces transaction costs
Accepted
11 H0: There is no significant difference between mean values
for cities with regard to benefit of large position with fewer
margins.
Accepted
12 H0: There is no significant difference between mean values
for cities with regard to a hedge against inflation, interest
rate.
Rejected
13 H0: There is no significant difference between mean values
for cities with regard to Derivatives removes problem of bad
delivery.
Accepted
14 H0: There is no significant difference between mean values
for cities with regard to Derivatives enable access to
estimates of the riskiness of corporate performance and stock
prices.
Rejected
15 H0: There is no significant difference between mean values
for cities with regard to Derivatives enable the shifting of risk
from those unwilling to bear risk to those willing to bear risk.
Accepted
232
16 H0: There is no significant difference between mean values
for cities with regard to Derivative in India lacks proper
accounting system, efficient internal control and strict
supervision.
Accepted
17 H0: There is no significant difference between mean values
for cities with regard to Derivatives destabilize associated
spot market by increasing spot price volatility.
Accepted
18 H0: There is no significant difference between mean values
for cities with regard to Transmission of volatility from
future to spot market raises expected rate of return further
leading to misallocation of resources and the potential loss of
welfare of the economy
Accepted
19 H0: There is no significant difference between mean values
for cities with regard to Derivative trading brings more
information to the market and allows for quicker
disseminations of information.
Accepted
20 H0: There is no significant difference between mean values
for cities with regard to Trading in derivative does affect
underlying cash market
Accepted
21 There is no significant difference between mean values for
cities with regard to Derivatives help the investors to adjust
the risk and return to create and manage portfolio carefully.
Rejected
22 H0: There is no significant difference between mean values
for cities with regard to Derivatives provide signals of market
movement efficiently
Rejected
23 H0: There is no significant difference between mean values
for cities with regard to Lot size of derivative contracts
should be reduced to increase participation in the market.
Rejected
24 H0: There is no significant difference between mean values
for cities with regard to Cash settlement
Rejected
233
It can be concluded from the test of differences that researcher has not found any
significant variation among the investors of four cities with regard to:
- Derivatives as an effective risk management tools
- Futures and options helps in discovery of prices in better way
- F&O enable to expand volume of activity
- Derivatives help to hedge/transfer risk completely.
- Futures and options help to minimize risk by locking in prices
- Hedging via derivatives reaps more profits in bullish/bearish Market
- Derivatives induces more speculation
- Derivatives reduces transaction costs
- Benefit of large position with fewer margins.
- Derivatives removes problem of bad delivery
- Derivative in India lacks proper accounting system, efficient internal control.
- Derivatives destabilize associated spot market by increasing spot price volatility
- Trading in derivative does affect underlying cash market
It can be inferred that investors do consider derivatives as an effective risk management
tools with hedging benefits embedded in it, but at the same time they also consider
trading in derivatives affect cash market by destabilizing it. It can also be inferred from
the above that investors do believe that derivative removes the problem of bad delivery
and helps to reduce the transaction cost as large positions can be created with fewer
margins.
6.6 CONCLUSIONS RELATED TO FACTOR ANALYSIS
Factor analysis provides the tools for analyzing structure of the interrelationships
(correlations) among a large number of variables by defining sets of variables that are
highly interrelated, known as factors. These groups of variables (factors) that are by
definition highly inter correlated, are assumed to represent dimension within the data if
we are only concerned with reducing the number of variables, than the dimensions can
guide in creating new composite measures. On the other hand, if we have a conceptual
basis for understanding the relationship between variables, than the dimensions may
234
actually have meaning for what they collectively represent. In latter case, these
dimensions may correspond to the concepts that can not be adequately described by a
single measure. We will see that factor analysis presents several ways of representing
these groups of variables for using other multivariate technique.
In this study, following factors have been found to be important from the point of view of
HNI Investors. Factor analysis is bifurcated into two major segments. First part of factor
analysis was attributed to the major variables related to perceptions of investors regarding
derivatives. Researcher has applied factor analysis to reduce the data and group them into
meaningful factors. While second part of factor analysis is focusing upon various factors
considered by investors while investing into derivative.
Part I - Factor analysis on Perceptions of investors:
Following variables have been extracted after applying factor analysis technique for data
reduction:
Derivative helps to manage portfolio.
Hedging via Derivative reaps more profits in bullish / bearish market.
Derivative market is properly regulated.
Exchange should add / allow more no. of scrips on which derivatives can be
traded.
Derivative in India lacks proper accounting system, efficient internal control and
strict supervision.
Derivative trading brings more information to the market and allows for quicker
disseminations of information.
Trading in derivative does affect underlying cash market.
Derivatives provide signals of market movement efficiently.
Derivative reduces transaction cost in the market.
Futures and options induces more speculation in market leading to destabilization
of prices
Derivatives destabilize associated spot market by increasing spot price volatility.
Trading of derivatives lower the cost of capital expected in the market.
235
Futures and options help to minimize risk considerably by locking in prices.
Futures and options help to hedge/transfer risk efficiently.
Futures and options helps in discovery of prices in better way.
Futures and options help to eliminate risk completely.
Above results are in consistent with various previous studies carried out by various
researchers. The impact of the introduction of index futures on the volatility of stock
market in India was examined employing daily data of Sensex and Nifty CNX for period
of Jan 1997-March 2003 in Bandivadekar and Ghosh (2005). The return volatility has
been modeled using GARCH framework. They found strong relationship between
information of introduction of derivatives and return volatility. They have concluded that
the introduction of derivatives has reduced the volatility of the stock market. The same
study was done by Hetamsaria and Swain (2003). they have examined the impact of
the introduction of index futures on the volatility of stock market in India applying
regression analysis. They have used Nifty 50 index price data for the period of Jan 1998 -
March 2003. They found that the volatility of the Nifty return has declined after the
introduction of index futures.
Darrat, Rahman, and Zhong (2002) have examined the impact of the introduction of
index futures on the volatility of stock market in India and causal relationship between
volume in the futures market and spot market. They have used EGARCH approach and
Granger Causality (G C) test. Their finding suggests that index futures trading may not be
blamed for the increasing volatility in the spot market. They found that volatility in the
spot market has produced volatility in the futures market. Kenneth and William (1992)
suggested the futures market activity increases the spot price variability when futures
price is changed by technical factors or manipulations. Some times futures market
induces a significant amount of hedge trading without attracting enough speculation to
permit the effective risk transfer. The hedging pressure in the futures market than spills
over to the spot market when traders end up bearing risk transfer through both futures and
spot market.
236
Even above findings are also in consistent with research done across the world. Bodnar
and Gebhardt (2004) explored, in their comparative survey of German and US investors’
perceptions towards derivative, that German investors are more likely to use derivatives
than US investors, with 78% of German investors using derivatives compared to 57% of
US investors. Aside from this higher overall usage, the general pattern of usage across
industry and size groupings is comparable across the two countries. In countries, Stock
and foreign currency derivative usage is most common, followed closely by interest rate
derivatives, with commodity derivatives a distant third. Usage rates across all three
classes of derivatives are higher for German investors than US investors. In contrast to
the similarities, investors in the two countries differ notably on issues such as the primary
goal of hedging, their choice of instruments, and the influence of their market view when
taking derivative positions. These differences appear to be driven by the greater
importance of financial accounting statements in Germany than the US and stricter
German corporate policies of control over derivative activities. German investors also
indicate significantly less concern about derivative related issues than US firms, which
appears to arise from a more basic and simple strategy for using derivatives. Finally,
among the derivative non-users,
German investors tend to cite reasons suggesting derivatives were needed or not whereas
US investors tend to cite reasons suggesting a possible role for derivatives, but a
hesitation to use them for some reason. While investors in both countries overwhelmingly
indicate that they use derivatives mostly for risk management, differences appear in the
primary goal of using derivatives, with German investors focusing more on managing
accounting results whereas US investors focused more on managing cash flows. German
investors are more likely to incorporate their own market view on price movement when
taking positions with derivatives than US investors. Despite this, German investors are
also more relaxed about derivatives, indicating a significantly lower level of concern
about issues related to derivatives than US firms. This attitude is consistent with the
German investors’ consistently stricter attitudes and policies towards controlling
derivatives activities.
237
All these perceptions elaborated in above study done on German and US investors are
also getting amplified in this research also.
Part II - Factor analysis on various factors (considered as important ones by
investors):
(1) Economy related factors
Variables like GDP, Index of Industrial Production, Money market changes, RBI policy
changes, tax policy changes, Monsoon, Bullion market changes, exchange rate volatility,
volatility in global financial market, inflation grouped in factor 1, we can interpret and
name factor 1 as Economy related factors, as mostly all the variables represent economic
indicators affecting to the market and companies in general in stock market. We see that
GDP has high loading of 0.874, IIP has loadings of 0.870, and Money market movements
has a loading of 0.851 and so on. There is high level of interrelationship observed among
these variables. Economy related factors plays major role in determining stock market
movements especially in case of derivatives, which is supported by factor analysis
presented here by the researcher.
Even findings obtained from factor analysis seem to be in consistent with the study
carried out by Raju and Ghosh (2004). Raju and Ghosh has expressed their views on the
growing linkages of national markets in currency, commodity and stock with world
markets and existence of common players, have given volatility a new property – that of
its speedy transmissibility across markets. Variables like Exchange rate volatility,
inflation have been found to have lead lag relations with stock market.
Company related factors
Looking at the table of final rotated factor matrix given in factor analysis, we see that
business policy changes, announcement regarding IPO, M&A, bonus, we can interpret
and name factor 2 as Company related factors. Business policy changes have got highest
loading suggesting its direct impact on future prices to be considered by all investors.
IPO announcement is also considered to be an important factor affecting to the
238
investment into derivatives. There is a high level of interrelationship observed among
these variables. It seems that corporate actions taken by company does affect derivative
market scenario which is supported by factor analysis findings presented by the
researcher.
Government related factors
We can interpret factor 3 components as Government related factors as any major
announcement in budget by finance minister will affect the future market as well.
Political situation has also been considered as important factor to be reckoned with.
There is no doubt that budget has got special place in the minds of investors which is
very well recognized and got reflected in the factor analysis findings.
Factor 4: Institutional Factors
It is evident from the fact that FII buying and selling does affect the derivative market,
which is also vouched by the investors. We can interpret this factor as Institutional factor
as Both Domestic as well as FII activity determines volatility in derivative market now.
FII in Indian market has emerged as most important player affecting to derivative
segment also.
Many previous studies have also revealed above factors as an important in terms of their
impact on derivative market. Notable ones are studies carried out by Raju and Ghosh
(2004), Bologna (2002).
Researcher has applied factor analysis technique to reduce the number of variables into
meaningful and important ones to be considered for further research also.
6.7 CONCLUSIONS RELATED TO CLUSTER ANALYSIS.
The Primary goal of cluster analysis was to partition a set of objects into two or more
groups based on similarity of the objects for a set of specified characteristics. In this
research, respondents have been grouped based on their similarity into clusters. So,
239
instead of viewing all of the observations as unique, they can be viewed as members of
unique clusters and profiled by their general characteristics in this research.
Cluster Analysis is a class of techniques used to classify objects or cases into relatively
homogeneous groups called clusters. Cluster analysis classifies objects (respondents) so
that each object is similar to others in the cluster based on a set of selected characteristics.
The resulting clusters of objects should exhibit high internal (within-cluster) homogeneity
and high external (between-cluster) heterogeneity. In this research, cluster analysis has
been used to group similar kind of objects (respondents) based on their perceptions. After
having classified respondents into 3 clusters, emphasis will be given on describing each
cluster as follows.
Respondents belonging to first cluster are strong believers in all the factors who have
contributed towards the growth of derivatives in India. They are sure about all global as
well domestic factors have paved the way for emergence and growth of derivatives in
India.
Respondents belonging to second cluster do not at all consider global factors as important
one in explosive growth of derivatives. Even these people reject all other global factors
like integration and FIIs as important factor. They strongly consider internal factors like
govt. policy and modernization of banking as important factor behind explosive growth
of derivatives.
Respondents belonging to third cluster are neutral in their opinions regarding all the
factors mentioned indicating they did not give ample weighting to any of the factors
further suggesting any other reasons for growth of derivatives in India.
From findings of cluster analysis, it can be inferred that 64% of investors of Ahmedabad
believe in all the factors who have contributed towards the growth of derivatives in India.
They are sure about all global as well domestic factors have paved the way for emergence
and growth of derivatives in India. Even within the cluster 1 solution, 72% belong to
240
Ahmedabad. While in the case of cluster 2 solution, 44% of investors of Rajkot do not
consider global factors as important one in explosive growth of derivatives, which is also
supported by 38% of investors of Baroda. In case of cluster 3 solution, 50% of the
investors of both Rajkot and Baroda are neutral in their responses.
6.8 LIMITATIONS OF STUDY
This research is exploratory in nature given the methodology employed in exploring the
subject under scrutiny. This study is focused on one single state viz., Gujarat and also is
limited to HNI investors only. Theoretical extensions and comparing the findings of this
study with existing theories is another possible avenue for future research. Segregation of
cluster members into city wise data was difficult one and considered as major limitation.
Therefore, generalization of the findings of this study can not be applied to any other
states of India and even all types of investors.
6.9 DIRECTIONS FOR FURTHER RESEARCH
One obvious direction for further research would be to sample a wide variety of investors
with more diverse demographic backgrounds as this will provide better insights to
understand the perceptions of investors regarding derivatives. It would be useful to
extend the geographical scope and type and number of investors to gain better
understanding of working of derivatives.
In this study, most of the variables included in this research and measurements of these
variables were selected and developed respectively from the previous studies
investigating investors’ perceptions about derivatives. A great deal of care has been taken
to explore the variables explaining major perceptions and factors considered while
investing into derivatives. Still, the researcher is left with a feeling that more number of
variables would have been added. A forward step in future would be to include other
possible variables explaining the perceptions of investors regarding derivatives.
241
The future research may be conducted to investigate the application part of derivatives
and perceptions about it. Further research may be needed to generalize the findings by
including various categories of investors rather than HNI investors only. Further studies
can refine the measurement scales used in this research by using multi items and ranking
scales to know importance of each variables used.
242
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248
Annexure - 1
Questionnaire Dear Sir/Madam,
This survey is carried out to understand the HNI investors’ perception regarding derivatives in Indian capital market. We request you to kindly fill up the questionnaire for the same. The data provided by you will be kept confidential and is purely for academic purpose.
Personal Details: Name of the respondent: City: Gender: Male Female Age (yrs): >20 21-30 31-40 41-50 50> Marital Status: Married Single No. of Family members: < 5 6-10 11-15 15> Education: Primary Secondary Graduation Post-Graduation
Illiterate Occupation: Service (Govt/Private) Business Profession Any other (specify) ________ Income (Annual): Up to Rs.5, 00,000 Rs.5, 00,000-10, 00,000
Rs. 10, 00,000-20, 00,000 Above 20, 00,000 Q.1 Do you invest in equity derivatives?
Yes No Q.2 How much do you invest in derivatives? < Rs. 5, 00,000 Rs. 5, 00,000-10, 00,000
Rs. 10, 00,000-25, 00,000 > Rs. 25, 00,000
249
Q.3 Normally, What percentage of your income is available for investment into derivatives?
Less than 10 % Between 11 to 20 % Between 21 to 30 %
More than 30 % Q.4 Kindly tick mark your purpose of investment into derivatives. To Hedge to Speculate to Invest To Arbitrage Q.5 Kindly tick mark the type of derivative in which you are trading
Futures contract only Option contract only Both futures and options
Q.6 Kindly tick mark derivative contract in which you are trading. Stock futures index futures
Stock options Index options Q.7 Tick mark the contract maturity period in which you are trading. 1 month 2 months 3 months Q.8 Rate the following statements on a five point scale below.
5 Strongly Agree 4 Agree 3 Neither Agree nor Disagree 2 Disagree 1 Strongly Disagree
(1) Derivatives like Futures and Options are effective risk management tools.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(2) Futures and options helps in discovery of prices in more better way.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree
(3) Futures and options enables to expand volume of activity Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree
250
(4) Futures and options helps to hedge/transfer risk efficiently.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree
(5) Futures and options helps to eliminate risk completely.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(6) Futures and options help to minimize risk considerably by locking in prices.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(7) Derivatives enhance liquidity in market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (8) Hedging via Derivative reaps more profits in bullish / bearish market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (9) Futures and options induces more speculation in market leading to destabilization
of prices Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (10) Futures and options help to take benefit of price discrepancy in the two markets
simultaneously.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(11) Derivatives reduce transaction costs in the markets.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (12) Derivatives assist in appropriate and superior allocation of resources to manage
portfolio.
251
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(13) Derivatives induces more volatility by creating more risk
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (14) One can take large positions in derivative markets by depositing fewer margins.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(15) Derivatives are very risky and highly leveraged instruments.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (16) Derivatives can be used to hedge against interest rates fluctuations, inflation and
market risk.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(17) Derivatives gives more variety or combinations to create positions in the market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(18) Derivative contracts are settled in cash which removes problems of bad delivery
and counterparty risk.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(19) Derivatives enable access to estimates of the riskiness of corporate performance
and stock prices.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(20) Derivatives enable estimation of the price of risk and the price to be paid to
avoid risk.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
252
(21) Derivatives enable the shifting of risk from those unwilling to bear risk to those
willing to bear risk.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(22) Derivative in India lacks proper accounting system, efficient internal control and
strict supervision.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(23) Derivatives destabilize associated spot market by increasing spot price volatility.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(24) Transmission of volatility from future to spot market raises expected rate of
return further leading to misallocation of resources and the potential loss of welfare of the economy.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (25) Derivative trading brings more information to the market and allows for quicker
disseminations of information.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(26) Trading in derivative does affect underlying cash market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(27) Derivatives help the investors to adjust the risk and return to create and manage
portfolio carefully.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(28) Derivatives provide signals of market movement efficiently.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
253
(29) Derivatives contracts are flexible enough allowing us to deal into variety of
different trades.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(30) Lot size of derivative contracts should be reduced to increase participation in the
market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(31) Derivative market is properly regulated.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(32) There is a need to strengthen regulation on derivatives in India.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(33) Exchange should add / allow more no. of scrips on which derivatives can be
traded.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(34) Trading of derivative on company’s equity leads to significant reduction of
equity’s beta. Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree (35) Trading of derivatives lower the cost of capital expected in the market.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(36) There is no proper timing and mechanism for stock selection for derivative
segment.
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(37) Derivatives contracts should be allowed to settle via cash market holdings.
254
Strongly agree Agree Neither agree nor disagree Disagree Strongly Disagree
(38) Derivatives provide very good return in terms of capital appreciation of wealth.
Strongly agree Agree Neither agree nor disagree Disagree Strongly
Disagree Q.9 Tick mark the following important characteristic features of derivatives that one
can leverage. (any one) Low risk – low reward Low risk – high reward High risk – low reward High risk – high reward.
Q.10 Following factor can best be considered as important factor for explosive growth
and faster adoption of derivatives in India. Rate as follows. 5 = Strongly Agree 4 = Agree 3 = Neither Agree nor Disagree 2 = Disagree 1 = Strongly Disagree
(1) The increased volatility in global financial markets and its impact on India.
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree (2) The technological advances enabling cheaper communications and computing power
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree (3) Wider choices of risk management strategies and instrument that optimally combine
the risk and return over a large number of financial assets.
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree (4) Deregulation in financial market and market oriented policies by government
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree (5) Increased integration of domestic financial market with global ones.
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree
255
(6) Innovations in the derivatives markets have led to the diversification of risk over a large number of financial assets, leading to higher returns
Strongly agree agree Neither agree nor disagree Disagree Strongly
Disagree (7) Huge flow and participation of FIIs in Indian market.
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree (8) Modernization of commercial and investment banking in India.
Strongly agree agree Neither agree nor disagree Disagree Strongly Disagree Q.11 kindly rate the importance of following variables to be considered important
factor affecting derivatives / investment into derivatives. (On five point scale below.)
5 Most important 4 Important 3 Neutral 2 Less important 1 Not al all important / Unimportant
(1) FII buying and selling activity
Most Important Important Neutral Less Important Unimportant
(2) Mutual Fund activity
Most Important Important Neutral Less Important Unimportant (3) Volatility in Global financial markets.
Most Important Important Neutral Less Important Unimportant (4) Corporate actions like dividend announcement.
Most Important Important Neutral Less Important Unimportant (5) Exchange rate volatility
Most Important Important Neutral Less Important Unimportant (6) Interest rate changes by RBI
256
Most Important Important Neutral Less Important Unimportant
(7) Inflation
Most Important Important Neutral Less Important Unimportant (8) Index of industrial production (IIP)
Most Important Important Neutral Less Important Unimportant (9) Money market Movements
Most Important Important Neutral Less Important Unimportant (10) Political scenario / developments
Most Important Important Neutral Less Important Unimportant (11) Budget announcement
Most Important Important Neutral Less Important Unimportant (12) Tax policy changes
Most Important Important Neutral Less Important Unimportant (13) Bullion and other commodity market movements
Most Important Important Neutral Less Important Unimportant (14) Monsoon
Most Important Important Neutral Less Important Unimportant (15) Financial result of company
Most Important Important Neutral Less Important Unimportant (16) Spot market volatility.
Most Important Important Neutral Less Important Unimportant (17) GDP
Most Important Important Neutral Less Important Unimportant
257
(18) Changes in Monetary policy by RBI,
Most Important Important Neutral Less Important Unimportant (19) Bonus announcement
Most Important Important Neutral Less Important Unimportant (20) Announcement regarding Merger and acquisition
Most Important Important Neutral Less Important Unimportant (21) Announcement regarding IPO.
Most Important Important Neutral Less Important Unimportant (22) Changes in Company’s business policy.
Most Important Important Neutral Less Important Unimportant (23) News regarding company entering into new business.
Most Important Important Neutral Less Important Unimportant.
258
Annexure - 2Anti-Image correlation for Question no. 8
Anti-imageCorrelation
Q.8S1 .792(a) -0.29 0.10 -0.39 -0.28 0.02 -0.09 0.08 -0.24 -0.21 0.12 -0.09 -0.13
Q.8S2 -0.29 .792(a) -0.26 -0.13 -0.03 0.11 -0.18 0.08 -0.16 -0.15 -0.12 0.24 -0.03
Q.8S3 0.10 -0.26 .574(a) -0.15 -0.11 -0.16 0.15 -0.09 0.05 0.04 0.09 0.07 -0.06
Q.8S4 -0.39 -0.13 -0.15 .759(a) 0.09 -0.27 -0.12 -0.04 0.12 0.28 -0.24 0.13 0.05
Q.8S5 -0.28 -0.03 -0.11 0.09 .829(a) 0.06 0.02 -0.08 -0.21 0.08 0.05 -0.14 0.11
Q.8S6 0.02 0.11 -0.16 -0.27 0.06 .575(a) -0.29 0.11 -0.19 0.08 0.08 0.13 -0.09
Q.8S8 -0.09 -0.18 0.15 -0.12 0.02 -0.29 .816(a) 0.05 -0.03 -0.16 -0.10 -0.30 0.14
Q.8S9 0.08 0.08 -0.09 -0.04 -0.08 0.11 0.05 .763(a) 0.04 -0.19 0.03 -0.17 0.09
Q.8S10 -0.24 -0.16 0.05 0.12 -0.21 -0.19 -0.03 0.04 .775(a) -0.03 -0.03 0.10 -0.15
Q.8S11 -0.21 -0.15 0.04 0.28 0.08 0.08 -0.16 -0.19 -0.03 .695(a) -0.06 0.05 0.16
Q.8S14 0.12 -0.12 0.09 -0.24 0.05 0.08 -0.10 0.03 -0.03 -0.06 .553(a) 0.02 -0.01
Q.8S16 -0.09 0.24 0.07 0.13 -0.14 0.13 -0.30 -0.17 0.10 0.05 0.02 .735(a) -0.35
Q.8S18 -0.13 -0.03 -0.06 0.05 0.11 -0.09 0.14 0.09 -0.15 0.16 -0.01 -0.35 .669(a)
Q.8S19 0.08 -0.12 0.28 -0.21 -0.10 0.20 -0.17 -0.10 0.24 0.04 0.15 0.33 -0.30
Q.8S21 -0.17 0.20 -0.23 0.16 0.01 0.01 0.01 0.11 0.16 0.16 -0.21 -0.06 -0.22
Q.8S22 -0.10 0.02 -0.06 -0.04 0.36 0.18 0.00 -0.17 -0.21 0.11 0.11 -0.06 0.06
Q.8S23 0.26 0.07 0.18 0.03 -0.32 -0.07 -0.09 0.03 -0.05 0.06 -0.01 0.33 -0.16
Q.8S24 0.40 -0.36 0.22 -0.24 -0.06 -0.07 0.23 0.01 -0.03 -0.19 -0.03 -0.22 -0.16
Q.8S25 0.10 -0.19 0.09 -0.17 -0.04 -0.15 0.28 -0.33 0.19 -0.04 -0.04 -0.02 0.01
Q.8S26 -0.20 -0.08 -0.07 0.17 0.05 -0.11 0.00 -0.19 0.24 0.16 -0.14 0.04 -0.18
Q.8S27 0.02 -0.10 0.14 -0.11 -0.26 -0.13 0.10 -0.08 0.30 -0.15 -0.01 -0.23 -0.28
Q.8S28 -0.08 -0.13 0.04 0.15 0.03 -0.04 -0.10 -0.24 -0.07 0.10 0.04 0.20 0.17
Q.8S29 -0.09 0.02 -0.12 0.03 -0.14 -0.13 0.12 0.07 -0.06 -0.03 -0.26 -0.03 0.21
Q.8S30 0.16 -0.03 0.10 0.06 -0.14 -0.25 0.21 0.03 -0.03 0.11 -0.14 -0.25 0.06
Q.8S31 -0.03 -0.02 -0.18 -0.13 0.03 0.22 0.10 0.13 -0.20 0.01 0.06 -0.26 0.16
Q.8S33 0.01 -0.05 0.07 0.05 0.38 0.02 0.02 0.06 -0.10 -0.06 0.12 0.27 -0.17
Q.8S35 0.10 -0.33 0.10 0.02 -0.12 -0.12 0.05 0.32 0.02 0.23 0.12 -0.35 0.25
Q.8S36 -0.26 0.25 -0.38 0.15 0.15 0.26 -0.06 0.24 0.04 0.06 -0.12 0.29 -0.17
Q.8S37 0.20 -0.04 -0.07 -0.06 0.04 -0.02 0.03 -0.03 -0.04 -0.36 -0.03 -0.13 -0.32
Q.8S38 -0.04 -0.07 0.00 0.00 0.18 -0.06 -0.05 0.13 -0.17 -0.03 -0.01 -0.19 0.07
259
Anti-Image correlation for Question no. 8
0.08 -0.17 -0.10 0.26 0.40 0.10 -0.20 0.02 -0.08 -0.09 0.16 -0.03 0.01 0.10 -0.26 0.20 -0.04
-0.12 0.20 0.02 0.07 -0.36 -0.19 -0.08 -0.10 -0.13 0.02 -0.03 -0.02 -0.05 -0.33 0.25 -0.04 -0.07
0.28 -0.23 -0.06 0.18 0.22 0.09 -0.07 0.14 0.04 -0.12 0.10 -0.18 0.07 0.10 -0.38 -0.07 0.00
-0.21 0.16 -0.04 0.03 -0.24 -0.17 0.17 -0.11 0.15 0.03 0.06 -0.13 0.05 0.02 0.15 -0.06 0.00
-0.10 0.01 0.36 -0.32 -0.06 -0.04 0.05 -0.26 0.03 -0.14 -0.14 0.03 0.38 -0.12 0.15 0.04 0.18
0.20 0.01 0.18 -0.07 -0.07 -0.15 -0.11 -0.13 -0.04 -0.13 -0.25 0.22 0.02 -0.12 0.26 -0.02 -0.06
-0.17 0.01 0.00 -0.09 0.23 0.28 0.00 0.10 -0.10 0.12 0.21 0.10 0.02 0.05 -0.06 0.03 -0.05
-0.10 0.11 -0.17 0.03 0.01 -0.33 -0.19 -0.08 -0.24 0.07 0.03 0.13 0.06 0.32 0.24 -0.03 0.13
0.24 0.16 -0.21 -0.05 -0.03 0.19 0.24 0.30 -0.07 -0.06 -0.03 -0.20 -0.10 0.02 0.04 -0.04 -0.17
0.04 0.16 0.11 0.06 -0.19 -0.04 0.16 -0.15 0.10 -0.03 0.11 0.01 -0.06 0.23 0.06 -0.36 -0.03
0.15 -0.21 0.11 -0.01 -0.03 -0.04 -0.14 -0.01 0.04 -0.26 -0.14 0.06 0.12 0.12 -0.12 -0.03 -0.01
0.33 -0.06 -0.06 0.33 -0.22 -0.02 0.04 -0.23 0.20 -0.03 -0.25 -0.26 0.27 -0.35 0.29 -0.13 -0.19
-0.30 -0.22 0.06 -0.16 -0.16 0.01 -0.18 -0.28 0.17 0.21 0.06 0.16 -0.17 0.25 -0.17 -0.32 0.07
.500(a) -0.26 -0.10 0.19 0.28 0.01 -0.01 0.09 -0.07 -0.01 -0.20 -0.21 0.07 -0.07 0.04 -0.09 -0.04
-0.26 .553(a) -0.08 -0.24 -0.23 -0.19 0.38 0.02 -0.28 -0.16 0.37 0.13 0.04 -0.15 0.23 -0.07 0.06
-0.10 -0.08 .625(a) -0.51 -0.08 -0.11 -0.04 -0.11 -0.03 -0.42 -0.05 0.33 0.34 -0.11 0.12 0.01 0.01
0.19 -0.24 -0.51 .595(a) 0.05 0.16 -0.48 -0.01 0.14 0.21 -0.14 -0.40 -0.16 0.14 -0.16 0.01 -0.20
0.28 -0.23 -0.08 0.05 .610(a) 0.11 -0.04 0.23 -0.05 0.12 -0.10 -0.01 0.15 -0.07 -0.28 0.16 -0.02
0.01 -0.19 -0.11 0.16 0.11 .746(a) -0.22 0.09 0.11 0.07 0.00 -0.11 -0.27 0.10 -0.17 0.04 -0.20
-0.01 0.38 -0.04 -0.48 -0.04 -0.22 .676(a) 0.05 -0.27 -0.04 0.20 0.03 0.06 -0.20 0.12 -0.15 0.25
0.09 0.02 -0.11 -0.01 0.23 0.09 0.05 .746(a) -0.37 0.11 0.00 -0.37 -0.02 0.06 -0.31 0.42 -0.11
-0.07 -0.28 -0.03 0.14 -0.05 0.11 -0.27 -0.37 .713(a) 0.02 -0.25 -0.06 -0.02 0.02 -0.10 -0.12 -0.15
-0.01 -0.16 -0.42 0.21 0.12 0.07 -0.04 0.11 0.02 .469(a) -0.11 -0.28 -0.28 0.06 -0.09 -0.04 0.18
-0.20 0.37 -0.05 -0.14 -0.10 0.00 0.20 0.00 -0.25 -0.11 .496(a) -0.01 -0.22 0.04 -0.13 -0.06 0.31
-0.21 0.13 0.33 -0.40 -0.01 -0.11 0.03 -0.37 -0.06 -0.28 -0.01 .772(a) 0.09 -0.12 0.30 -0.02 -0.01
0.07 0.04 0.34 -0.16 0.15 -0.27 0.06 -0.02 -0.02 -0.28 -0.22 0.09 .803(a) -0.08 0.22 0.11 -0.03
-0.07 -0.15 -0.11 0.14 -0.07 0.10 -0.20 0.06 0.02 0.06 0.04 -0.12 -0.08 .808(a) -0.20 -0.23 -0.01
0.04 0.23 0.12 -0.16 -0.28 -0.17 0.12 -0.31 -0.10 -0.09 -0.13 0.30 0.22 -0.20 .486(a) -0.25 -0.08
-0.09 -0.07 0.01 0.01 0.16 0.04 -0.15 0.42 -0.12 -0.04 -0.06 -0.02 0.11 -0.23 -0.25 .612(a) -0.01
-0.04 0.06 0.01 -0.20 -0.02 -0.20 0.25 -0.11 -0.15 0.18 0.31 -0.01 -0.03 -0.01 -0.08 -0.01 .783(a)
260
Annexure - 3Anti-Image correlation for Question no. 11
Anti-image Correlation Q.11F1 0.64 -0.45 -0.03 0.09 0.02 -0.33 0.02 0.01 0.03 0.13 -0.25
Q.11F2 -0.45 0.81 -0.14 -0.14 0.02 0.09 -0.14 0.06 -0.06 -0.07 0.04
Q.11F3 -0.03 -0.14 0.80 -0.01 -0.13 -0.05 0.15 -0.45 0.17 -0.22 0.08
Q.11F4 0.09 -0.14 -0.01 0.52 -0.02 0.01 -0.19 0.09 0.09 -0.01 -0.08
Q.11F5 0.02 0.02 -0.13 -0.02 0.85 -0.07 -0.41 0.04 -0.02 -0.08 0.13
Q.11F6 -0.33 0.09 -0.05 0.01 -0.07 0.75 -0.37 0.05 -0.09 -0.44 0.13
Q.11F7 0.02 -0.14 0.15 -0.19 -0.41 -0.37 0.83 -0.35 0.02 0.12 0.04
Q.11F8 0.01 0.06 -0.45 0.09 0.04 0.05 -0.35 0.87 -0.35 0.25 0.03
Q.11F9 0.03 -0.06 0.17 0.09 -0.02 -0.09 0.02 -0.35 0.90 -0.12 0.15
Q.11F10 0.13 -0.07 -0.22 -0.01 -0.08 -0.44 0.12 0.25 -0.12 0.67 -0.38
Q.11F11 -0.25 0.04 0.08 -0.08 0.13 0.13 0.04 0.03 0.15 -0.38 0.66
Q.11F12 -0.15 0.10 0.01 0.13 -0.55 0.09 0.09 -0.02 -0.25 0.04 -0.28
Q.11F13 0.14 -0.29 -0.14 0.26 -0.13 0.21 -0.15 0.05 -0.19 0.09 -0.29
Q.11F14 0.10 -0.08 -0.14 -0.22 0.32 -0.14 -0.01 0.02 -0.11 -0.07 0.24
Q.11F15 0.04 0.24 0.15 -0.43 0.03 -0.35 0.27 0.00 -0.15 0.11 0.08
Q.11F16 -0.07 0.17 -0.01 0.10 -0.02 0.05 -0.30 0.18 0.12 -0.21 -0.20
Q.11F17 0.14 0.14 -0.15 -0.07 0.18 -0.01 -0.08 -0.29 -0.10 0.01 0.05
Q.11F18 0.08 -0.14 0.36 -0.12 -0.22 -0.35 0.30 -0.15 0.07 0.10 -0.17
Q.11F19 -0.30 0.01 -0.24 0.10 -0.04 0.39 -0.18 0.08 -0.06 -0.09 -0.01
Q.11F20 -0.19 0.22 0.11 -0.19 0.11 -0.09 0.11 -0.06 0.17 -0.11 -0.04
Q.11F21 0.09 -0.11 0.17 0.12 -0.12 0.13 -0.01 0.00 0.14 -0.21 0.01
Q.11F22 -0.04 0.00 -0.14 -0.01 0.26 0.12 -0.24 0.18 -0.35 -0.09 0.22
Q.11F23 0.25 -0.16 0.03 -0.07 -0.05 -0.25 0.06 -0.11 0.09 0.31 -0.11
261
Anti-Image correlation for Question no. 11
-0.15 0.14 0.10 0.04 -0.07 0.14 0.08 -0.30 -0.19 0.09 -0.04 0.25
0.10 -0.29 -0.08 0.24 0.17 0.14 -0.14 0.01 0.22 -0.11 0.00 -0.16
0.01 -0.14 -0.14 0.15 -0.01 -0.15 0.36 -0.24 0.11 0.17 -0.14 0.03
0.13 0.26 -0.22 -0.43 0.10 -0.07 -0.12 0.10 -0.19 0.12 -0.01 -0.07
-0.55 -0.13 0.32 0.03 -0.02 0.18 -0.22 -0.04 0.11 -0.12 0.26 -0.05
0.09 0.21 -0.14 -0.35 0.05 -0.01 -0.35 0.39 -0.09 0.13 0.12 -0.25
0.09 -0.15 -0.01 0.27 -0.30 -0.08 0.30 -0.18 0.11 -0.01 -0.24 0.06
-0.02 0.05 0.02 0.00 0.18 -0.29 -0.15 0.08 -0.06 0.00 0.18 -0.11
-0.25 -0.19 -0.11 -0.15 0.12 -0.10 0.07 -0.06 0.17 0.14 -0.35 0.09
0.04 0.09 -0.07 0.11 -0.21 0.01 0.10 -0.09 -0.11 -0.21 -0.09 0.31
-0.28 -0.29 0.24 0.08 -0.20 0.05 -0.17 -0.01 -0.04 0.01 0.22 -0.11
0.85 0.15 -0.51 -0.02 0.21 0.01 -0.10 0.05 -0.12 0.03 -0.16 0.02
0.15 0.84 -0.39 -0.24 -0.05 -0.01 -0.20 0.23 -0.23 -0.11 0.11 0.10
-0.51 -0.39 0.85 0.06 -0.22 -0.03 -0.01 -0.09 0.08 -0.02 0.23 -0.24
-0.02 -0.24 0.06 0.45 -0.05 0.11 0.13 -0.30 0.10 -0.07 0.04 -0.03
0.21 -0.05 -0.22 -0.05 0.65 -0.17 0.01 -0.02 0.08 0.04 -0.04 -0.04
0.01 -0.01 -0.03 0.11 -0.17 0.87 -0.56 -0.14 -0.08 -0.15 0.05 0.27
-0.10 -0.20 -0.01 0.13 0.01 -0.56 0.84 -0.13 -0.05 0.13 -0.16 0.03
0.05 0.23 -0.09 -0.30 -0.02 -0.14 -0.13 0.73 0.00 -0.39 0.09 -0.25
-0.12 -0.23 0.08 0.10 0.08 -0.08 -0.05 0.00 0.80 -0.38 -0.21 -0.23
0.03 -0.11 -0.02 -0.07 0.04 -0.15 0.13 -0.39 -0.38 0.77 -0.20 -0.05
-0.16 0.11 0.23 0.04 -0.04 0.05 -0.16 0.09 -0.21 -0.20 0.69 -0.30
0.02 0.10 -0.24 -0.03 -0.04 0.27 0.03 -0.25 -0.23 -0.05 -0.30 0.65