Quantitative research - Research Methodology - Manu Melwin Joy
Research Methodology for Quantitative Reserach
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Transcript of Research Methodology for Quantitative Reserach
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Table of Contents
Chapter 3: Research Methodology.................................................................................................. 23.1 Sources of Data ..................................................................................................................... 23.2 Correlation Table and Regression Model ............................................................................. 23.3 Dependant and Independent Variables ................................................................................. 4
3.3.1 Dependant Variable ....................................................................................................... 43.3.2 Independent Variables ................................................................................................... 5
3.4 Hypothesis........................................................................................................................... 11
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Chapter 3: Research Methodology
This chapter provides information regarding sources of data set, sample, regression models and
definitions of dependant and independent variables.
Data
Date is something or those attributes which are used to reveal draw results. Basically there are
two types of data; Primary data and Secondary data. Primary data is a type of information that is
obtained directly from first-hand sources by means of surveys, observation or experimentation
etc. this type of data has not been previously published anywhere and is derived from a new
study. Secondary data is the other type of information that is collected from published sources
rather than first hand collection of information. This study uses secondary sources of data for
analysis and collected data from the financial reports of Bao Tou Steel Limited.
3.1 Sources of Data
To determine the explanatory variables that can affect the capital structure, this study observed
the selected variables of f Bao Tou Steel Limited over the period of 2002 to 2012.
This study based on the data of Bao Tou Steel Limited over the period of ten years and all data
has been collected from its balance sheets of respective years from 2002 to 2012. The
relationship of Capital Structure has been observed with Firm Size, Growth, Profitability, Cash
Flows, Firm Assets, Firm Age and Risk.
3.2 Correlati on Table and Regression Model
Correlation table is a two way tabulated presentation which relates the different variables in rows
and columns. It measures the degree of association between the variables entered, and one of the
most authentic way used to measure the effect of each variable with other variables. If we define
Regression Model then we can say that it is a statistical measure that attempts to determine the
strength of the relationship between one dependent variable (usually denoted by Y) and a series
of other changing variables (known as independent variables). This regression model is also
known as Ordinary Least Square (OLS) model and is also authentic and most preferred technique
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PR = profitability CF= cash flows FA= firm assets AG = age RK = risk = the error term
3.3 Dependant and Independent Variables
This section presents the description of dependant and independent variables, how these
variables are measured in current study and what empirical findings have found by previous
studies.
This study is focused to determine the impact of the several control variables on the capital
structure or leverage choice of Bao Tou Steel Ltd. For this purpose, one dependant variable and
seven independent variables are used. Leverage or debt ratio is used as dependant variable while
Independent variables include, size (SZ), profitability (PF), growth (GR), firm assets (FA), cash
flow (CF), risk (RK) and age (AG).
3.3.1 Dependant Variable
Leverage (LG)
Leverage refers to proportion of assets that is financed by debt. Corporate finance literature
reveals that level of leverage depends upon the size and nature of the business. Both book and
market values have used to measure the value of leverage (Rajan and Zingales, 1995). The
former measure divides book value of debt by book value of total assets and the later measure
divides book value of debt by market value of assets or by book value of debt plus market value
of equity (Davic and Krstic, 2001). Present study use book value of leverage because the use of
debt provides tax shield that creates cash benefits and these benefits are not charged on the
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market value of debt once it is issued (Shah and Khan, 2007). Hence, this makes the market
value of debt irrelevant for computation of taxes.
On the other hand, when the firm goes into bankruptcy then only book value is considered a
relevant value for calculations. Another important consideration is to deciding the use of total or
long term debt as a percentage of total assets for measuring the leverage. Several studies (Devic
and Krstic, 2001; Cassar and Holmes, 2003; Mittoo and Zhang, 2008) have used both total and
long term debt for calculate the value of leverage. According to the booth et al (1999),
developing countries (including China) are preferred to use short term financing than long term
financing. Finally, following ratio is used for measuring leverage:
LG = TD / TA
Where, LG = Leverage
TD = Total debt at the end of the accounting year
TA = Total assets at the end of the accounting year
3.3.2 Independent Variables
Size (SZ)
Size is considered a key factor that can influence the financial structure of the firm. It has
extensively used by the corporate finance researchers as control variable in the empirical analysis
of determining the capital structure of the firm and found that proportion of debt and equity
formulates according to the size of the firm (Scott and Martin, 1976; Booth et al.,2001). Various
studies report a positive relationship between size and leverage (Hamaifer et al, 1994; Al-Sakran,
2001; Antoniou et al, 2002; Gaud, 2005) while several studies intended negative relationship
between debt ratio and firms size (Rajan and Zingales, 1995; Bevan and Danbolt, 2002).
According to the Rajan and Zingales (1995), the relationship between size and leverage could be
negative because larger firms have less asymmetric information that reduces the chances of
undervaluation of issuing new stock, preferred to issue more equity than debt.
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On the other hand, Static Trade-off hypothesis explores a positive relationship between size and
firm because larger firms are diversified in nature and considered less risky, hence, prefer to
utilize more debt. In addition, larger firms are preferred to issue more debt because it reduces
direct bankruptcy costs due to market confidence (Warner, 1977). Moreover, smaller firms prefer
to acquire lower debt because, these firms might face the risk of liquidation at the time of
financial distress (Ozkan, 1996). Consistent with the results of Static Trade-Off theory, current
study predicts a positive relationship between size and debt ratio.
The natural log of sales or the natural log of assets is generally used as a proxy to determine the
size of the firm. Current study use natural log of sale (premiums) to measure the size Bao Tou
Steel Limited. It is given by
SZ = Firm Sales
Therefore, first hypothesis is that there is positive relationship between leverage and size of the
firm.
Profitabili ty (PF)
Theoretical predictions yield no consistent relationship between debt ratio and profitability.
Jensen (1986) intended that profitable firms use debt as a tool that enforce managers to invest in
more disciplined way and as a result reduce free cash flows, which implied a positive
relationship. Static Trade-off model also predicts a positive relationship between profitability and
debt ratio due to the tax shield benefits. But according to the Pecking Order Theory (Myers and
Majluf, 1984), firms prefer to use internal source of financing (retained earnings), then debt and
finally issue external equity if more funds are required.
Therefore, the more profitable the firms are the more retained earnings they will have, which
exhibit a lower debt is utilized in formation of capital structure. This shows a negative
relationship between profitability and leverage of the firm. In addition, profitable firms are avoid
to get loan in inefficient markets due to disciplinary role of debt (Agency Theory).Various
studies (Gonedes et al, 1988; Friend and Hasbrouck,1989; Shah and Khan, 2007)also reported a
negative relationship between profitability and debt ratio. Present study also predicts a negative
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relationship between profitability and leverage. Following proxy is used for measuring the
profitability:
PT = NIBT
Where, PT = Profitability of the firm at the end of fiscal year
NIBT = Net income before tax
Thus, second hypothesis is that there is negative relationship between leverage and profitability
of the firm.
Growth (GT)
According to the Pecking Order Theory, a firm firstly uses retained earnings or internally
generated funds for running the operations of business, but these funds are insufficient for future
growth of the firm. For this purpose, firm uses debt financing which helps for enhancing the
business activities. This implies that growing firms expected to have high leverage (Drobetz and
Fix, 2003). However, agency cost of debt is expected to be higher of growing firms because
these firms have more flexibility with respect to the future investments. The rationale is that the
lenders may feel fear that such firms would invest in more risky projects in future as they have
diversified in nature and have more flexibility related to selection of investments (Titman and
Wessels, 1988).
Therefore, lenders impose higher costs at lending to reduce their risk. This forces the firm to
utilize less amount of debt and more equity for investments to reduce the higher cost of debt.
Myers (1977), Barclay et al. (1995) and Rajan and Zingales (1995) are proposed a negative
relationship between leverage and growth. Consistent with the capital structure literature, current
study also be expecting a negative relationship between growth and ratio of debt.
Different studies have used different proxies for measuring the growth; market to book value of
equity, market value of assets to the book value of assets, research expenditure to total sales and
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annual percentage change in assets or sales. Present study use percentage change in sales
(premiums) as a proxy to measure the growth. It is given by,
GR = % change in (P)
Where, GR = Growth of the firm
P = Premiums (sales) of the firm
Therefore, third hypothesis is that there is negative relationship between leverage and growth
of the firm.
F irm Assets
Assets are considered to have an impact on borrowing decisions because they have greater value
in case of bankruptcy .A firm with large portion of fixed assets can easily raise debt at relatively
lower rates by providing the collateral of these assets to the creditors. Having the incentive of
getting the loan at nominal rates, these types of firms are expected to borrow more as compared
to those firms where cost of borrowing is higher due to less proportion of fixed assets (Suto,
1990). Hence, firms with large proportion of fixed assets are preferred to employ more debt for
getting the advantage of this opportunity. In the contrary, negative relationship has also beenreported between leverage and fixed assets in small and medium firms (Daskalakis and Psillaki,
2007) and in less developed economies (Joever, 2006). Therefore, current study is expected to
have negative relationship between leverage and assets. The amount of net fixed assets indicates
the cost of fixed assets less depreciation. It is given by,
FA = Total Assets at the end of accounting period.
Therefore, forth hypothesis is that there is negative relationship between leverage and assets ofthe firm.
Cash F lows
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Cash Flow specifies the ability of the firm to cover its short term liabilities but also shows the
liquidity position of the firm. Firms with higher cash flows are preferred to acquire more debt
because of great ability to meet short term obligations (Ozkan, 2001). This shows a positive
relationship between the cash flows and firms liquidity position. On the other hand, when firms
have more liquid assets then it may prefer to use these assets to finance their investments and
discourage to raise external funds (Pecking Order Theory).
Currently this study assumes positive relationship between CF and Leverage for Bao Tou Steel
Limited.
CF = Cash flow generated from the operation of the business
Therefore, fifth hypothesis is that there is a negative relationship between leverage and cash
flows of the firm.
Age (AG)
Corporate finance literature reveals that age of the firm is also considered one the key control
variable that can have an impact on the capital structure decisions of the firm. Mixed results have
found about the relationship between leverage and age of the firm. A firms age reflects the
experience in the particular business and eventually reflects its maturity. Greater business
experience negatively effects or reduces the probability of bankruptcy and as a result reflects
high debt ratio for older firms (Trade-off Theory). On the other hand, when firm survives in
business for a long time then it can accumulates more funds for running the operations of the
business and subsequently keeps away the firm to go for debt financing (Nivorozhkin, 2005).
This trend shows the negative relationship between the leverage and age of the firm. Moreover,
positive relationship between leverage and age is not likely to apply in transition economies
because experience or maturity of the firms before economic reforms is likely to be limited (Al-
Bahsh and Sentis, 2008). Present study is expected to have negative relationship between age and
capital structure of Bao Tou Steel Limited because China is considered a transition economy.
Difference between the establishment year and the observation year of the firm is used as a proxy
to measure the age. It is given by,
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AG = OYEY
Where, AG = Age of the firm
OY = Observation year of the firm
EY = Establishment year of the firm
Therefore, sixth hypothesis is that there is negative relationship between leverage and age of
the firm
Risk (RK)
Risk is another key explanatory variable that may affects the capital structure of the firm. It is
considered to be either the inherent business risk or it may arise in the firm as a result of
inefficient management practices. Firms with high volatility in earnings might face higher risk
that forces the management to reduce the debt level because higher risk increases the chances of
bankruptcy (Pandy, 2001). This predicts a negative relationship between leverage and risk and
this result is also consistent with trade-off and pecking order hypothesis. Consistent with the
results of Pecking Order Theory and Static Trade-off Theory, present study is expected to have a
negative relationship between risk and leverage.
Several proxies have used in empirical studies to measure the risk of the firm such as standard
deviation of the difference in operating cash flows to total assets, standard deviation of returns on
net income, and standard deviation of percentage change in net income (Xiaoyan, 2008). So this
study assumes percentage change in net income considered as risk attached to Bao Tou Steel Ltd.
RK= %age change in net income
Therefore, seventh hypothesis is that there is negative relationship between leverage and risk of
the firm.
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3.4 Hypothesis
This research study uses following seven hypotheses for the analysis:
Hypotheses 1: There is positive relationship between leverage and size of the firm.
Hypotheses 2:There is negative relationship between leverage and profitability of the firm.
Hypotheses 3:There is negative relationship between leverage and growth of the firm.
Hypotheses 4:There is negative relationship between leverage and assets of the firm.
Hypotheses 5: There is a negative relationship between leverage and cash flows of the firm.
Hypotheses 6:There is negative relationship between leverage and age of the firm.
Hypotheses 7:There is negative relationship between leverage and risk of the firm.