UNIVERSITY OF MAIDUGURI CENTRE FOR DISTANCE … 1-5/ECO 404.pdf · At the end of the course module,...
Transcript of UNIVERSITY OF MAIDUGURI CENTRE FOR DISTANCE … 1-5/ECO 404.pdf · At the end of the course module,...
ECO 404 Macroeconomics II Units: 2
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UNIVERSITY OF MAIDUGURICENTRE FOR DISTANCE LEARNING
ECO 404: Macroeconomics II (2 Units)
Course Facilitator: Dr. F. F. Ahmed
ECO 404 Macroeconomics II Units: 2
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STUDY GUIDE
Course Code/ Title: ECO 404: Macroeconomics II
Credit Units: 2
Timing: 26hrs
Total hours of Study per each course material should be twenty Six
hours (26hrs) at two hours per week within a given semester.
You should plan your time table for study on the basis of two hours per
course throughout the week. This will apply to all course materials you
have. This implies that each course material will be studied for two
hours in a week.
Similarly, each study session should be timed at one hour including all
the activities under it. Do not rush on your time, utilize them adequately.
All activities should be timed from five minutes (5minutes) to ten
minutes (10minutes). Observe the time you spent for each activity,
whether you may need to add or subtract more minutes for the activity.
You should also take note of your speed of completing an activity for the
purpose of adjustment.
Meanwhile, you should observe the one hour allocated to a study
session. Find out whether this time is adequate or not. You may need to
add or subtract some minutes depending on your speed.
You may also need to allocate separate time for your self-assessment
questions out of the remaining minutes from the one hour or the one
hour which was not used out of the two hours that can be utilized for
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your SAQ. You must be careful in utilizing your time. Your success
depends on good utilization of the time given; because time is money, do
not waste it.
Reading:
When you start reading the study session, you must not read it like a
novel. You should start by having a pen and paper for writing the main
points in the study session. You must also have dictionary for checking
terms and concepts that are not properly explained in the glossary.
Before writing the main points you must use pencil to underline those
main points in the text. Make the underlining neat and clear so that the
book is not spoiled for further usage.
Similarly, you should underline any term that you do not understand its
meaning and check for their meaning in the glossary. If those meanings
in the glossary are not enough for you, you can use your dictionary for
further explanations.
When you reach the box for activity, read the question(s) twice so that
you are sure of what the question ask you to do then you go back to the
in-text to locate the answers to the question. You must be brief in
answering those activities except when the question requires you to be
detailed.
In the same way you read the in-text question and in-text answer
carefully, making sure you understand them and locate them in the main
text. Furthermore before you attempt answering the (SAQ) be sure of
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what the question wants you to do, then locate the answers in your in-
text carefully before you provide the answer.
Generally, the reading required you to be very careful, paying attention
to what you are reading, noting the major points and terms and concepts.
But when you are tired, worried and weak do not go into reading, wait
until you are relaxed and strong enough before you engage in reading
activities.
Bold Terms:
These are terms that are very important towards
comprehending/understanding the in-text read by you. The terms are
bolded or made darker in the sentence for you to identify them. When
you come across such terms check for the meaning at the back of your
book; under the heading glossary. If the meaning is not clear to you, you
can use your dictionary to get more clarifications about the
term/concept. Do not neglect any of the bold term in your reading
because they are essential tools for your understanding of the in-text.
Practice Exercises
a. Activity: Activity is provided in all the study sessions. Each
activity is to remind you of the immediate facts, points and major
informations you read in the in-text. In every study session there is
one or more activities provided for you to answer them. You must
be very careful in answering these activities because they provide
you with major facts of the text. You can have a separate note book
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for the activities which can serve as summary of the texts. Do not
forget to timed yourself for each activity you answered.
b. In-text Questions and Answers: In-text questions and answers
are provided for you to remind you of major points or facts. To
every question, there is answer. So please note all the questions
and their answers, they will help you towards remembering the
major points in your reading.
c. Self Assessment Question: This part is one of the most essential
components of your study. It is meant to test your understanding of
what you studied so you must give adequate attention in answering
them. The remaining time from the two hours allocated for this
study session can be used in answering the self- assessment
question.
Before you start writing answers to any questions under SAQ, you
are expected to write down the major points related to the
particular question to be answered. Check those points you have
written in the in-text to ascertain that they are correct, after that
you can start explaining each point as your answer to the question.
When you have completed the explanation of each question, you
can now check at the back of your book, compare your answer to
the solutions provided by your course writer. Then try to grade
your effort sincerely and honestly to see your level of performance.
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This procedure should be applied to all SAQ activities. Make sure
you are not in a hurry to finish but careful to do the right thing.
e-Tutors: The eTutors are dedicated online teachers that provide
services to students in all their programme of studies. They are expected
to be twenty- four hours online to receive and attend to students
Academic and Administrative questions which are vital to student’s
processes of their studies. For each programme, there will be two or
more e-tutors for effective attention to student’s enquiries.
Therefore, you are expected as a student to always contact your e-tutors
through their email addresses or phone numbers which are there in your
student hand book. Do not hesitate or waste time in contacting your e-
tutors when in doubt about your learning.
You must learn how to operate email, because e-mailing will give you
opportunity for getting better explanation at no cost.
In addition to your e-tutors, you can also contact your course facilitators
through their phone numbers and e-mails which are also in your
handbook for use. Your course facilitators can also resolve your
academic problems. Please utilize them effectively for your studies.
Continuous assessment
The continuous assessment exercise is limited to 30% of the total marks.
The medium of conducting continuous assessment may be through
online testing, Tutor Marked test or assignment. You may be required to
submit your test or assignment through your email. The continuous
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assessment may be conducted more than once. You must make sure you
participate in all C.A processes for without doing your C.A you may not
pass your examination, so take note and be up to date.
Examination
All examinations shall be conducted at the University of Maiduguri
Centre for Distance Learning. Therefore all students must come to the
Centre for a period of one week for their examinations. Your preparation
for examination may require you to look for course mates so that you
form a group studies. The grouping or Networking studies will facilitate
your better understanding of what you studied.
Group studies can be formed in villages and township as long as you
have partners offering the same programme. Grouping and Social
Networking are better approaches to effective studies. Please find your
group.
You must prepare very well before the examination week. You must
engage in comprehensive studies. Revising your previous studies,
making brief summaries of all materials you read or from your first
summary on activities, in-text questions and answers, as well as on self
assessment questions that you provided solutions at first stage of studies.
When the examination week commences you can also go through your
brief summarizes each day for various the courses to remind you of main
points. When coming to examination hall, there are certain materials that
are prohibited for you to carry (i.e Bags, Cell phone, and any paper etc).
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You will be checked before you are allowed to enter the hall. You must
also be well behaved throughout your examination period.
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DEPARTMENT OF ECONOMICS UNIVERSITY OF MAIDUGURI
ECO 404
Dr. Funmilola Fausat Ahmed
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GENERAL INTRODUCTION
This course, ECO 404 Advanced Macroeconomics II is a two-credit unit, one semester core
course designed for fourth year economics students in the Department of Economics at the
Centre for Distance Learning. This course guide is built on prerequisite knowledge (that is, some
fundamental bedrock that is expected to have been learnt in the previous levels vis-à-vis ECO
301), however, its simplicity will make the student assimilate faster and practice question at the
end of each unit will also prepare the student for the examination purposes. It also provides users
with some guidance on your tutor marked assignments (TMAs) as contained herein.
.
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OBJECTIVES OF THE STUDY
At the end of the course module, the students are expected to:
Define capital.Explain different types of capital.Explain different types of modern capital.Discuss human capital theory.Explain the nature and definition of moneyDiscuss money and near moneyDistinguish between neutrality and non-neutrality of moneyExplain Irvin fisher's quantity theory of moneyHighlight the criticisms of fisher's theoryState the Cambridge equations: the cash balance approachCriticisms of cash balance approachDefine economic growthDiscuss Schumpeterian growth theoryDiscuss Marxian growth theoryDiscuss Classical growth theoryDiscuss Harrod-Domar growth modelDiscuss Neo-classical growth theoryExplain macroeconomic policiesDiscuss the effects of changes in fiscal policyDiscuss the Effects of changes in monetary policy
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TABLE OF CONTENTS
PAGES
GENERAL INTRODUCTION
OBJECTIVES OF THE STUDY
STUDY SESSIONS:
1: CAPITAL THEORY
2: THEORIES OF MONEY, PRICE AND INTEREST
3: MODELS OF ECONOMIC GROWTH
4: MACROECONOMIC POLICES
5: OPTIMAL ALLOCATION OF RESOURCES
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STUDY SESSION 1
CAPITAL THEORY
PAGES
INTRODUCTION
1.1 LEARNING OUTCOMES
1.2 IN-TEXT
1. DEFINTION OF CAPITAL
2. TYPES OF CAPITAL
3. MODERN TYPES OF CAPITAL
4. HUMAN CAPITAL THEORY
IN-TEXT QUESTIONS
IN-TEXT ANSWERS
1.3 ACTIVITY
1.4 SUMMARY
1.5 SELF ASSESSMENT QUESTIONS
1.6 REFERENCES
1.7 SUGGESTED READING
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Study Session 1: Capital Theory
Introduction
This topic is aimed at introducing you to the subject matter of capital theory. You are
exposed to these definitions with the view of simplifying the basic concept, types of capital,
types of modern capital and human capital theory.
1.1. Learning Outcomes
At the end of this study session, you should be able to:
1. Define capital.
2. Explain different types of capital.
3. Explain different types of modern capital.
4. Discuss human capital theory.
BOLD TERMS
1.2. In-Text
1.2.1 Definition of Capital
Capital in economics ordinarily refers to physical capital, which consists of structures
and equipment used in business (machinery, factory equipment, computers and office equipment,
construction equipment, business vehicles, etc.). Up to a point increases in the amount of capital
per worker are an important cause of economic output growth. Capital is subject to diminishing
returns because of the amount that can be effectively invested and because of the growing burden
of depreciation.
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In economics, capital goods, real capital, or capital assets are already-produced durable
goods or any non-financial asset that is used in production of goods or services.
Adam Smith defines capital as "That part of a man's stock which he expects to afford him
revenue". Capital is derived from the Latin word "caput" meaning head, as in "head of cattle".
The term "stock" is derived from the Old English word for stump or tree trunk. It has been used
to refer to all the moveable property of a farm since at least 1510. In Middle Ages France
contracted leases and loans bearing interest specified payment in heads of cattle.
How a capital good is maintained or returned to its pre-production state varies with the
type of capital involved. In most cases capital is replaced after a depreciation period as newer
forms of capital make continued use of current capital non profitable. It is also possible that
advances make an obsolete form of capital practical again.
Capital is distinct from land (or non-renewable resources) in that capital can be increased
by human labor. At any given moment in time, total physical capital may be referred to as the
capital stock (which is not to be confused with the capital stock of a business entity).
In a fundamental sense, capital consists of any produced thing that can enhance a person's
power to perform economically useful work—a stone or an arrow is capital for a caveman who
can use it as a hunting instrument, and roads are capital for inhabitants of a city. Capital is an
input in the production function. Homes and personal autos are not usually defined as capital but
as durable goods because they are not used in a production of saleable goods and services.
In Marxist political economy, capital is money used to buy something only in order to
sell it again to realize a financial profit. For Marx capital only exists within the process of
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economic exchange—it is wealth that grows out of the process of circulation itself, and for Marx
it formed the basis of the economic system of capitalism. In more contemporary schools of
economics, this form of capital is generally referred to as "financial capital" and is distinguished
from "capital goods".
1.2.2. Types of Capital
Marxian economics distinguishes between different forms of Capital
constant capital, which refers to capital goods;
variable capital, which refers to labor-inputs, where the cost is "variable" based on the
amount of wages and salaries are paid throughout the duration of an employee's
contract/employment; and
fictitious capital, which refers to intangible representations or abstractions of physical
capital, such as stocks, bonds and securities (or "tradable paper claims to wealth")
Earlier illustrations often described capital as physical items, such as tools, buildings, and
vehicles that are used in the production process. Since at least the 1960s economists have
increasingly focused on broader forms of capital. For example, investment in skills and
education can be viewed as building up human capital or knowledge capital, and investments in
intellectual property can be viewed as building up intellectual capital. These terms lead to certain
questions and controversies discussed in those articles.
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1.2.3. Types of Modern Capital
Detailed classifications of capital that have been used in various theoretical or applied
uses generally respect the following division:
Financial capital, which represents obligations, and is liquidated as money for trade, and
owned by legal entities. It is in the form of capital assets, traded in financial markets. Its
market value is not based on the historical accumulation of money invested but on the
perception by the market of its expected revenues and of the risk entailed.
Natural capital, which is inherent in ecologies and which increases the supply of human
wealth, e.g. trees.
Social capital, which in private enterprise is partly captured as goodwill or brand value,
but is a more general concept of inter-relationships between human beings having
money-like value that motivates actions in a similar fashion to paid compensation.
Instructional capital, defined originally in academia as that aspect of teaching and
knowledge transfer that is not inherent in individuals or social relationships but
transferrable. Various theories use names like knowledge or intellectual capital to
describe similar concepts but these are not strictly defined as in the academic definition
and have no widely agreed accounting treatment.
Human capital, a broad term that generally includes social, instructional and individual
human talent in combination. It is used in technical economics to define balanced growth
which is the goal of improving human capital as much as economic capital. A far less
common term, spiritual capital, refers to the power, influence and dispositions created by
a person or an organization’s spiritual belief, knowledge and practice, which is also an
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aspect of human capital that may not be easily captured as a component social,
instructional or individual element.
1.2.4. Human Capital Theory
This is a modern extension of Adam Smith's explanation of wage differentials by the
so-called net (dis)advantages between different employments. The costs of learning the job
are a very important component of net advantage and have led economists such as Gary S.
Becker and Jacob Mincer to claim that, other things being equal, personal incomes vary
according to the amount of investment in human capital; that is, the education and training
undertaken by individuals or groups of workers. A further expectation is that widespread
investment in human capital creates in the labour-force the skill-base indispensable for
economic growth. The survival of the human-capital reservoir was said, for example, to
explain the rapid reconstruction achieved by the defeated powers of the Second World War.
Human capital arises out of any activity able to raise individual worker productivity. In
practice full-time education is, too readily, taken as the principal example. For workers,
investment in human capital involves both direct costs, and costs in foregone earnings.
Workers making the investment decisions compare the attractiveness of alternative future
income and consumption streams, some of which offer enhanced future income, in exchange
for higher present training costs and deferred consumption. Returns on societal investment in
human capital may in principle be calculated in an analogous way.
Even in economics, critics of human-capital theory point to the difficulty of measuring
key concepts, including future income and the central idea of human capital itself. Not all
investments in education guarantee an advance in productivity as judged by employers or the
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market. In particular, there is the problem of measuring both worker productivity and the
future income attached to career openings, except in near-tautological fashion by reference to
actual earnings differences which the theory purports to explain. Empirical studies have
suggested that, though some of the observed variation in earnings is likely to be due to skills
learned, the proportion of unexplained variance is still high, and must be an attribute of the
imperfect structure and functioning of the labour-market, rather than of the productivities of
the individuals constituting the labour supply.
Human-capital theory has attracted much criticism from sociologists of education and
training. In the Marxist renaissance of the 1960s, it was attacked for legitimating so-called
bourgeois individualism, especially in the United States where the theory originated and
flourished. It was also accused of blaming individuals for the defects of the system, making
pseudo-capitalists out of workers, and fudging the real conflict of interest between the two.
However, even discounting these essentially political criticisms, human-capital theory can be
regarded as a species of rational-exchange theory and open to a standard critique, by
sociologists, of individualist explanations of economic phenomena.
ITQ
Explain types of modern capital.
ITA
Financial capital, which represents obligations, and is liquidated as money for trade, and
owned by legal entities. It is in the form of capital assets, traded in financial markets. Its
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market value is not based on the historical accumulation of money invested but on the
perception by the market of its expected revenues and of the risk entailed.
Natural capital, which is inherent in ecologies and which increases the supply of human
wealth, e.g. trees.
Social capital, which in private enterprise is partly captured as goodwill or brand value,
but is a more general concept of inter-relationships between human beings having
money-like value that motivates actions in a similar fashion to paid compensation.
Instructional capital, defined originally in academia as that aspect of teaching and
knowledge transfer that is not inherent in individuals or social relationships but
transferrable. Various theories use names like knowledge or intellectual capital to
describe similar concepts but these are not strictly defined as in the academic definition
and have no widely agreed accounting treatment.
Human capital, a broad term that generally includes social, instructional and individual
human talent in combination. It is used in technical economics to define balanced growth
which is the goal of improving human capital as much as economic capital. A far less
common term, spiritual capital, refers to the power, influence and dispositions created by
a person or an organization’s spiritual belief, knowledge and practice, which is also an
aspect of human capital that may not be easily captured as a component social,
instructional or individual element.
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1.3. Activity: Macroeconomics II
1. Explain human capital theory as proposed by Adam Smith.
1.4. Summary of Study Session 1
In this study session, you have learnt:
1. Definition of capital.
2. Different types of capital.
3. Different types of modern capital.
4. Human capital theory.
1.5. SAQ
SAQ (LO 1) Why is capital subject to diminishing returns
SAQ (LO 2) What is fictitious capital?
SAQ (LO 3) Define natural capital.
SAQ (LO 4) Human capital arises out of any activity able to raise individual worker ----------
1.6. References
Anyanwu, J.C. & Oaikhenan, H.E. (1995). Modern macroeconomics: Theory and
Applications in Nigeria. Joanee Educational Publishers Limited Onitsha- Nigeria
Dornbusch. R, Stanley, F. & Startz, R. (1985). Macroeconomics: Concepts, Theories
and Policies, McGraw-Hill, Book Company, New York.
Jhingan, M.L. (2005). The Economics of Development and Planning 38th Revised and
enlarged Edition, Punjabi Publication, India.
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Jhingan, M.L. (2007). Macroeconomic theory, 11th Revised Edition, Punjabi
Publication, India.
http://www.economictheories.org/2008/11/j-s-mills-wages-fund-theory.html
"https://en.wikipedia.org/w/index.php?title=Classical_theory_of_growth_and_stagnation&oldid=719654983"
1.7. Suggested Reading
Parkin, M. (1982). Modern Macroeconomic, Prentice-Hall, Canada Inc, Ontario.
Shapiro, E. (1974). Macroeconomic Analysis, Third Edition. Harcourt Brace
Jovanovich, Inc. New York.
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STUDY SESSION 1I
THEORIES OF MONEY, PRICE AND INTEREST
PAGES
INTRODUCTION
2.1 LEARNING OUTCOMES
2.2 IN-TEXT
1. NATURE AND DEFINITION OF MONEY
2. MONEY AND NEAR MONEY
3. NEUTRALITY AND NON-NEUTRALITY OF MONEY
4. IRVIN FISHER'S QUANTITY THEORY OF MONEY
5. CRITICISMS OF FISHER'S THEORY
6. THE CAMBRIDGE EQUATIONS: THE CASH BALANCE APPROACH
7. CRITICISMS OF CASH BALANCE APPROACH
IN-TEXT QUESTIONS
IN-TEXT ANSWERS
2.3 ACTIVITY
2.4 SUMMARY
2.5 SELF ASSESSMENT QUESTIONS
2.6 REFERENCES
2.7 SUGGESTED READING
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Study Session 1I: Theories of Money, Price and Interest
Introduction
This study session is aimed at expanding your knowledge on the role of money as an instrument
of exchange and how it relates to the price level through the mechanism of interest rate. You are
expected to know the original version of the quantity theory of money as developed by Irvin
Fisher and the Cambridge version as contained in the works of Marshall, Pigou, Robertson and
Keynes.
2.1. Learning Outcomes
At the end of this study session, you should be able to:
1. Explain the nature and definition of money
2. Discuss money and near money
3. Distinguish between neutrality and non-neutrality of money
4. Explain Irvin fisher's quantity theory of money
5. Highlight the criticisms of fisher's theory
6. State the Cambridge equations: the cash balance approach
7. Criticisms of cash balance approach
BOLD TERMS
2.2. In-Text
2.2.1 Nature and Definition of Money
Money is among those terms in economics which generate a lot of controversies and
confusion over its meaning. Different scholars perceive money to refer to different things with
the common objective of which is exchange among people. Professor Coulborn sees money as
"the means of valuation and payment; as both the unit of account and the generally acceptable
medium of exchange. This is a general definition because it includes concrete money such as
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gold, cheques, coins, currency notes, bank drafts, ete. This generalization prompted scholars to
define money variously as follows: "money is defined by its functions; anything is money which
is used as money; money is what money does"
The above definitions are functional definitions of money, but some economists defined
money in legal terms implying "anything which the state declares as money is money". But
problem arises here because some people accept some other things as money which is not legally
defined as money. Others do not accept as money what has been legally defined as money.
According to Professor Johnson five main schools can be distinguished as far as
definition of money is concerned. They are as follows:
1) The Traditional Definition of Money: This is otherwise referred to as the currency
school view. Money is seen by this school as currency and demand deposits and the most vital
function of money is serving as medium of exchange. Lord Maynard Keynes alluded to this
school
2) Friedman's Definition of Money: This is known as the monetarists or (Chicago)
view. Money is seen by this school literally as "the quantity of dollars people are carrying around
in their pockets, the demand deposit (at banks) and commercial banks time deposits. They see
money as currency plus all adjusted deposits in commercial banks.
3) The Radcliff Definition: This school defined money as notes plus bank deposits.
They see money as only those assets that can he accepted as media of exchange. Here assets refer
to liquid assets.
4) The Curley-Show Definition: This school regards substantial volume of liquid assets
held by financial intermediaries as close substitute for money which provide "store of value". To
them proper money or currency and demand deposits constitute only one liquid asset.
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5) Pesek and Saving Definition: According to this school money includes demand
deposits of banks and money issued by government. They exclude time and saving deposits from
bank money. They distinguished money from debt, because whereas money does not pay interest
debt yields interest.
2.2.2. Money and Near Money
As already explained, money comprises of currency and bank deposits. The
currency notes issued by CBN of a country and the cheques of commercial banks are liquid
assets. As for time deposits they are not money but near money. The reason is that they can only
be withdrawn at the end of a fixed period or by giving a prior no tic to the bank and incurring a
penalty. Before time deposits can be used as money they have to be converted into real money
that is, cash or demand deposits. Other near money similar to time deposits are bonds, securities
debentures, bills of exchange, treasury bills, insurance policies etc. It should be noted therefore
that near money is not a legal tender.
2.2.3. Neutrality and Non-neutrality of Money
One of the central analytical issues in macroeconomics is neutrality or non- neutrality of
money. Money is called neutral if monetary changes in the economy have no impact on real
economic activity. Some theories Labeled Keynesian or Neoclassical presume that money does
not influence real output and real interest rates. Other theories labeled classical, treat money as
approximately neutral. The Keynesians and even post Keynesians such as Friedman, Metzler, all
believe money is non neutral.
2.2.4. Irvin Fisher's Quantity Theory of Money
The purchasing power of money is what represents the value of money.
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Therefore without fear of contradiction one can say the value of money is related to the
purchasing price level. But the relationship between the two is an inverse one. For instance, if V
represents the value of money and P price level, the relationship can be expressed as:
V=l/P
The Irvin Fishers Quantity Theory states that the quantity of money in circulation is the
main determinant of the price level or the value of money. A change in the quantity of money
produces an exactly proportionate change in the price level. According to Fisher, other things
remaining equal, if the quantity of money in circulation increases, the price level also increases
in direct proportion and the value of money decreases and vice versa.
Fisher came up with the following equation of exchange:
PT = MV + M1V1
Where: P = Price Level, l/P value of money
M = Total quantity of legal tender money
V = Velocity of circulation of M
M1 = Total quantity of credit money
V1 = Velocity of circulation of M'
T = Transactions performed by money.
The above equation equates the demand for money (PT) to supply of money (MV=
M1V1). The total volume of transactions multiplied by the price level (PI) represents the demand
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for money. According to Fisher, PT = ∑PQ which means price level ‘p' times quantity purchased
'Q' by the community or society "I" gives the aggregate or total demand for money. This equates
the total supply of money in the community which is expressed as quantity of actual money ''M''
and its velocity of circulation "V" added to or plus total quantity of credit money ''MI'' and its
velocity of circulation ''VI''. Therefore the total value of transactions or purchases in a year is
denoted by the expression MY+ M1V1. This brings us to the equation of exchange PT = MV +
MIV1.
To clearly show the effect of quantity of money on price level 'P' or value of money, we
re-write the equation as follows:
P = (MV + M1V1)/T
According to Fisher the price level varies directly as the quantity of money (M1+M1) as
long as the volume of trade (T) and velocity of circulation V, V1) remain constant. This can be
clearly seen if we observe that doubling '1 and M' and holding V, VI and T constant and doubling
P also will reduce the value of money (l/P) to half. The following diagram explains Fishers
quantity theory of money more clearly.
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Figure 1: Relationship between quantity of money and price
Panel A above shows the effect of changes in the quantity of money on the price level.
When the quantity of money is M the price level is P. When the quantity of money doubled to
M2, the price level also doubled to P2. When the quantity of money is increased to four-fold, the
price level quadrupled to P4. This relationship is indicated by the curve P= f(M) which runs from
the origin at 450
In Figure 1, the inverse relationship between the quantity of money and the value of
money is depicted where the value of money is taken on the vertical axis. When the quantity of
P4
P2
P1
0
1/P
1/P2
1/P4
0
M1 M2 M4
Pef (M)
Panel A
Panel B
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money is Ml, the value of money is 1/P. Doubling the quantity of money to M2 bring the value
of money to one-half (1 2) of what it was previously, that is, 1/P2. When the (quantity of money
further increases to M-t the value of money reduced to l/p4. This inverse relationship between
the quantity of money and the value of money is shown by downward sloping curve 1/ P = f (M)
Assumptions of Fishers Theory
i) P is passive in the equation of expression of exchange though other factors are active.
ii) Constancy of proportion of MI to M.
iii) Both V and V1 are assumed to be constant and independent of changes in M1and M.
iv) T also is constant and independent of M' to M, VI to V.
v) Demand for money is proportional to the value of transactions.
vi) Supply of money 1S exogenously determined and constant.
vii) The theory is applicable in the long run
viii) The theory is based on assumption of full employment I the economy.
2.2.5. Criticisms of Fisher's Theory
1) It is a truism. This is maintained by Keynes. But it cannot be accepted that a certain
percentage change in quantity of money can lead to the same percentage change in price
level.
2) Other things are not equal. In real life, all the parameters included in the theory are not
constant as it was presumed.
3) Constant relate to a different time epoch. For example M relate to a point in time and
likewise V.
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4) The theory fails to measure the value of money. It only measures cash transactions.
5) It neglects the role of interest rate as a causative factor between money and prices.
6) The assumption of long run situation and the neglect of short run factors is also
questionable.
7) V cannot be said to be constant in real life situation.
8) The theory also neglects the store of value function on money. Its assumption of
exogenous money supply and constant demand for money only considers the medium of
exchange function of money and ignores store of value. It is one sided.
9) It is static and not dynamic.
2.2.6. The Cambridge Equations: The Cash Balance Approach
Cambridge economists such as Marshall, Pigou, Robertson and Keynes formulated the
cash balance approach. They opined that the value of money is determined by two factors that
determine the value of any other thing viz the condition of demand and the quantity available.
They opined that the supply of money is exogenously determined at a point of time by the
banking system. They discarded the concept of velocity of circulation and consider demand for
money as the main determinant of the value of money.
Marshall's Equation:
Though Marshall did not put his theory in form of equation, he tried to show that the
amount of money one hold: or wants to hold bears some relation to one's income, since that
determines the volume: of purchases and sales in which one is engaged. So the cash balances
held by people can be expressed as total fraction of their total income. Other economists express
this theory in equation form as follows:
M=KPY
Where M = money supply
K = the fraction of the real money income (PY) that people hold in cash and
demand deposits. .
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p = the price level
y = the aggregate real income
Therefore,
P=M/KY,
And the value of money l/P = KY /M
Pigou's Equation:
He was the first economist of the Cambridge school to express the cash balance approach in the
form of an equation.
P=KR/M
Where P = purchasing power of money/value of money (1/P)
K = the proportion of total real resources or income (R.)
R = the total resources of real income
M = number of actual units of legal tender money
The demand for money according to Pigou, consists not only of legal money or cash but
also banknotes and bank balances. To include bank notes and bank balances in the demand for
money, Pigou modifies his equation to the following form:
P = KR/M { C + h (l-C)}
Where ‘C' is the proportion of real income actually held by the community in legal tender
including coins, (l-C) is the proportion kept in banknotes and bank balances, and 'h' is the
proportion of actual legal tender that bankers keep against the notes and balances held by their
customers.
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According to Pigou when K and R in the equation P = KR/M and K, R, C and h are taken
as constants, then the two equations give the demand curve for legal tender as a rectangular
hyperbola as follows:
Figure 2: Demand and Supply curve for Money
From the above we can see that the demand curve for money has a unitary elasticity. DDl
is the demand curve for money, Q1Ml, Q2M2 and Q3M3 are the supply curves of money fixed at a
point of time. When the supply of money increases from OM1 to OM2, the value of money is
reduced from OPl OP2. The fall in the value of money by the area P1P2 exactly equals the
increase in the supply of money by M1M2. If the supply of money increases three times from
OMl to OM3, the value of money is reduced exactly by one-third from OPl to OP3.
P1
P2
P3
0
M1 M2 M3
MD & MS
Q1
Q2
Q3
D
D1
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Robertson's Equation:
The only difference between Pigou's equation and that of Robertson is that instead of
Pigou's total real resources R, Robertson gave the total volume of transaction T.
M = PKT or P = M/KT
Where P is the price level, M is the total quantity of money, K is the proportion of the total
amount of goods and services (T) that people wish to hold in the form of cash balances and T is
the total volume of goods and services purchased during a year by the community. If we take P
as the value of money instead of the price level as in Pigou's equation, we will see that Robert's
equation is perfectly similar to Pigou's P = KT/M.
Keynes's Equation:
In 1923 Keynes formulated the Real Balances Quantity Equation with some
improvements over those of others in the Cambridge school. He opined that people always want
to have some purchasing power to finance their daily transactions. The amount of this purchasing
power (or demand for money) depends on factors such as tastes, habits, wealth etc. He further
buttressed that demand for money is governed by and measured by consumption units. A
consumption unit is expressed as a basket of standard articles of consumption or other items of
expenditure. Therefore, if 'K' is the number of consumption units in the form of cash, 'n' is the
total currency in circulation, and P is the price for consumption unit, then the equations:
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n= pk
If 'K' is constant, a proportionate increase in en' (quantity of money) will lead to a proportionate
increase in P (price level). The equation can be expanded by taking into account bank deposits.
For example let 'K' be the number of consumption units in the form of bank deposits, and 'r' the
cash reserve ratio of banks, then the expanded equation is
n = p(k + rk1)
If 'k', k1 and r ate constants, 'p' will change proportionately to change in ‘n'. Keynes considered
this equation superior to other cash balances equations.
The other equations fail to point how price level (r) can be regulated. Because it is
difficult for monetary authorities to control the cash balances held by people outside their
control, 'p' can be regulated by controlling en' and 'r'. It is also possible to regulate bank deposits
'k" by appropriate changes in the bank rate. So ‘p’ can be controlled by making appropriate
changes in ‘n’, ‘r’ and ‘k1’ so as to offset changes in ‘k’
2.2.7. Criticisms of the Cash Balance Approach
1) Truism
2) Price level does not measure purchasing power
3) The equation accord more importance to total deposit
4) Neglect of other factors
5) Neglect of other factors
6) K and Y are not constant
7) The equation has failed to explain dynamic behavior of prices
8) Neglected the influence of interest rate
9) Demand for money is not interest elastic
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10) Neglect of goods market
11) Neglect of real balance effect
12) Elasticity of money is not unity
13) Neglect of speculative demand for money
ITQ
List the assumptions of Fisher’s Theory
ITA
Assumptions of Fishers Theory
i) P is passive in the equation of expression of exchange though other factors are active.
ii) Constancy of proportion of MI to M.
iii) Both V and V1 are assumed to be constant and independent of changes in M1and M.
iv) T also is constant and independent of M' to M, VI to V.
v) Demand for money is proportional to the value of transactions.
vi) Supply of money 1S exogenously determined and constant.
vii) The theory is applicable in the long run
viii) The theory is based on assumption of full employment I the economy.
2.3. Activity: Macroeconomics II
1.Discuss briefly Robertson's Equation
2.4. Summary of Study Session 1I
In this study session, you have learnt:
1. Nature and definition of money
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2. Money and near money
3. Neutrality and non-neutrality of money
4. Irvin fisher's quantity theory of money
5. Criticisms of fisher's theory
6. Cambridge equations: the cash balance approach
7. Criticisms of cash balance approach
2.5. SAQ
SAQ (LO 1) Define money
SAQ (LO 2) Give examples of near money
SAQ (LO 3) When is money neutral?
SAQ (LO 4) The purchasing power of money is what represents the ------ of money
SAQ (LO 5) V cannot be said to be constant in real life situation. True or False
SAQ (LO 6) What is the determinant of value of money?
2.6. References
Anyanwu, J.C. & Oaikhenan, H.E. (1995). Modern macroeconomics: Theory and
Applications in Nigeria. Joanee Educational Publishers Limited Onitsha- Nigeria
Dornbusch. R, Stanley, F. & Startz, R. (1985). Macroeconomics: Concepts, Theories
and Policies, McGraw-Hill, Book Company, New York.
Jhingan, M.L. (2005). The Economics of Development and Planning 38th Revised and
enlarged Edition, Punjabi Publication, India.
Jhingan, M.L. (2007). Macroeconomic theory, 11th Revised Edition, Punjabi
Publication, India.
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2.7. Suggested Reading
Parkin, M. (1982). Modern Macroeconomic, Prentice-Hall, Canada Inc, Ontario.
Shapiro, E. (1974). Macroeconomic Analysis, Third Edition. Harcourt Brace
Jovanovich, Inc. New York.
"https://en.wikipedia.org/w/index.php?title=Price&oldid=735741756"
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STUDY SESSION 1II
MODELS OF ECONOMIC GROWTH
PAGES
INTRODUCTION
3.1 LEARNING OUTCOMES
3.2 IN-TEXT
1. CONCEPT OF ECONOMIC GROWTH
2. THE SCHUMPETERIAN GROWTH THEORY
3. THE MARXIAN GROWTH THEORY
4. THE CLASSICAL GROWTH THEORY
5. THE HARROD-DOMAR GROWTH MODEL
6. THE NEOCLASSICAL GROWTH THEORY
IN-TEXT QUESTIONS
IN-TEXT ANSWERS
3.3 ACTIVITY
3.4 SUMMARY
3.5 SELF ASSESSMENT QUESTIONS
3.6 REFERENCES
3.7 SUGGESTED READING
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Study Session 1II: Models of Economic Growth
Introduction
There are several theories or models of various aspects of economic growth and
development process. These models have at all times being the basis of policies aimed at helping
the development processes along. Our sole aim is to reveal these intellectual theories provided by
different scholars in the aspect of economic growth and development.
Although economic growth has been identified as one of the key macroeconomic goals of
society, issues of growth did not assume a dimension of prominence until the mid thirties. Two
events largely account for the outburst of interest in issues of growth. The first was the
publication of Keynes’ General Theory of Employment, Interest and Money in 1936, who
viewed deficiency in aggregate demand as the key factor to economy’s stagnation. The second
was the struggle to overcome the devastating effect of the World War II on war ravaged
economies. Interest in growth issues subsequently led to development of various theories of
growth each purporting to explain the mechanism growth each purporting to explain the
mechanics of growth.
3.1. Learning Outcomes
At the end of this study session, you should be able to:
1. Define economic growth
2. Discuss Schumpeterian growth theory
3. Discuss Marxian growth theory
4. Discuss Classical growth theory
5. Discuss Harrod-Domar growth model
6. Discuss Neo-classical growth theory
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BOLD TERMS
3.2. In-Text
3.2.1 Economic Growth
Economic growth is the increase in the inflation-adjusted market value of the goods and
services produced by an economy over time. It is conventionally measured as the percent rate of
increase in real gross domestic product, or real GDP, usually in per capita terms. Growth is
usually calculated in real terms – i.e., inflation-adjusted terms – to eliminate the distorting effect
of inflation on the price of goods produced. Measurement of economic growth uses national
income accounting. Since economic growth is measured as the annual percent change of gross
domestic product (GDP), it has all the advantages and drawbacks of that measure.
In economics, "economic growth" or "economic growth theory" typically refers to grow
potential output, i.e., production at "full employment", as opposed to the study of economic
fluctuations around a long term trend.
An increase in growth caused by more efficient use of inputs (such as labor, physical
capital, energy or materials) is referred to as intensive growth. GDP growth caused only by
increases in the amount of inputs available for use (increased population, new territory) is called
extensive growth.
Measuring Economic Growth
Gross Domestic Product
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Economic growth is generally calculated from data on GDP and population provided by
countries' statistical agencies, although independent scholarly estimates are also available.
Determinants of per capita GDP growth
In national income accounting, per capita output can be calculated using the following
factors: output per unit of labor input (labor productivity), hours worked (intensity), the
percentage of the working age population actually working (participation rate) and the
proportion of the working-age population to the total population (demography). "The rate of
change of GDP/population is the sum of the rates of change of these four variables plus their
cross products."
Productivity
Increases in labor productivity (the ratio of the value of output to labor input) have
historically been the most important source of real per capita economic growth. "In a famous
estimate, MIT Professor Robert Solow concluded that technological progress has accounted for
80 percent of the long-term rise in U.S. per capita income, with increased investment in capital
explaining only the remaining 20 percent."
(Note: There are various measures of productivity. The term used here applies to a broad
measure of productivity. By contrast, Total factor productivity (TFP) growth measures the
change in total output relative to the change capital and labor inputs. Many of the cited
references use TFP.) Increases in productivity lower the real cost of goods. Over the 20th century
the real price of many goods fell by over 90%.
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Intensity (hours worked)
As a result of productivity the work week declined considerably over the 19th century.[39]
By the 1920s the average work week in the U.S. was 49 hours, but the work week was reduced to
40 hours (after which overtime premium was applied) as part of the National Industrial Recovery
Act of 1933.
Demographic changes
Demographic factors may influence growth by changing the employment to population
ratio and the labor force participation rate. Industrialization creates a demographic transition in
which birth rates decline and the average age of the population increases.
Women with fewer children and better access market employment tend to join the labor force in
higher percentages. There is a reduced demand for child labor and children spend more years in
school. The increase in the percentage of women in the labor force in the U.S. contributed to
economic growth, as did the entrance of the baby boomers into the work force.
Other Factors affecting Growth
Political institutions, property rights, and rule of law
“As institutions influence behavior and incentives in real life, they forge the success or failure of
nations.”
In economics and economic history, the transition to capitalism from earlier economic systems
was enabled by the adoption of government policies that facilitated commerce and gave
individuals more personal and economic freedom. These included new laws favorable to the
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establishment of business, including contract law and laws providing for the protection of private
property, and the abolishment of anti-usury laws, When property rights are less certain,
transaction costs can increase, hindering economic development. Enforcement of contractual
rights is necessary for economic development because it determines the rate and direction of
investments. When the rule of law is absent or weak, the enforcement of property rights depends
on threats of violence, which causes bias against new firms because they cannot demonstrate
reliability to their customers.
In many poor and developing countries much land and housing is held outside the formal
or legal property ownership registration system. Much unregistered property is held in informal
form through various property associations and other arrangements. Reasons for extra-legal
ownership include excessive bureaucratic red tape in buying property and building. In some
countries it can take over 200 steps and up to 14 years to build on government land. Other causes
of extra-legal property are failures to notarize transaction documents or having documents
notarized but failing to have them recorded with the official agency.
Not having clear legal title to property limits its potential to be used as collateral to secure
loans, depriving many poor countries one of their most important potential sources of capital.
Unregistered businesses and lack of accepted accounting methods are other factors that limit
potential capital.
Businesses and individuals participating in unreported business activity and owners of
unregistered property face costs such as bribes and pay-offs that offset much of any taxes
avoided.
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New products and services
Another major cause of economic growth is the introduction of new products and
services and the improvement of existing products. New products create demand, which is
necessary to offset the decline in employment that occurs through labor saving technology.
Growth phases and sector shares
Economic growth in the U.S. and other developed countries went through phases that affected
growth through changes in the labor force participation rate and the relative sizes of economic
sectors. The transition from an agricultural economy to manufacturing increased the size of the
high output per hour, high productivity growth manufacturing sector while reducing the size of
the lower output per hour, lower productivity growth agricultural sector. Eventually high
productivity growth in manufacturing reduced the sector size as prices fell and employment
shrank relative to other sectors. The service and government sectors, where output per hour and
productivity growth is very low, saw increases in share of the economy and employment during
the 1990s. The public sector has since contracted, while the service economy expanded in the
2000s.
3.2.2 Schumpeterian Growth Theory
Schumpeter appears to provide an answer to the problem raised by Keynes theory
through the very significant role he gives to the innovator or the entrepreneur. Instead of the
business minds expectation, Schumpeter talks about the innovator who undertakes new
combination of factors of production. This combination opens the way for profits in a statutory
state or during a down turn which then leads to an upswing. Also, instead of Keynes propensity
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to save, Schumpeter holds that, the innovator/entrepreneurs secures the fund for his investment
from the banking sector - and the inflationary process which result from this, forced people to
save and higher capital accumulation is obtained. Instead of the propensity to consume, he
assumed that changes in taste are brought by the action of the entrepreneur, the lack of real
resources endangered by the inflationary process, the destructive competition that followed the
upswing or boom, the repayment of bank loan and the effects which the cessation of innovative
activity has on secondary investment, all combined to bring about the down turn. Schumpeter
believes that the economic system is full of uncertainties and risks that is inevitably discontinues
or moves in a speed.
This theory has won great admiration from economists, but the conclusions are not
generally accepted. The criticism is that, there are no longer innovators of the types assumed by
Schumpeter - there are instead large business units whose innovative activities and motivations
are not distinguishable from the ordinary business activities. Also view from the developing
countries point of view, Schumpeter type of innovation is strictly the type from the developed
world. Even if it exists in a developing country, its effects will be limited because of competition
from the developed countries. This considerably lessens the dynamism ascribed to innovation by
Schumpeter. In addition, large business units more easily absorb changes in economic
environment and plan for adjustment alone, therefore cannot explain the causes of down turn.
It should be noted however, that, Schumpeter emphasis on innovator and innovations is
very important in the consideration of factors responsible for economic growth. Equally
important is his idea that sources of investible funds is not just personal or corporate savings but
the banking system.
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3.2.3. The Marxian Theory of Growth
One of the historical theories of economic growth, the Marxian theory of growth is
admixture of reasoning proceeding from economics and sociological perspectives. It proceeds by
viewing growth as a process of continue transformation of the society and social function and
political life. Such transformation can be traced to the society mode of production as well as the
property rights of the society, economic power and prestige seeking class. Marxian growth
theory asserts that growth is dependent on the rate of accumulation of labour surplus value by the
capitalists’ class, labour surplus value being the rate of profit in excess of labour’s true
remuneration which has however, been expropriated from the workers by their factors owners
(the capitalists). Thus, the Marxian theory of growth attributes growth to labour surplus value
which is the difference between subsistence wages paid to workers and the true value of labour
output, It is this difference that constitutes the sources of investible fund necessary to foster
economic growth. Therefore, the larger this difference is, the more rapid growth is expected to
be. However, the Marxian theory of growth points at the possibility of the eventual collapse of
the capitalist systems resulting from the intensification of the clash between the expropriators
and the expropriated.
3.2.4. The Classical Theory of Economic Growth and Development
Without doubt the best known name in economics is Adam Smith. His monumental work
- An Inquiry into Nature and the Causes of the Wealth of Nations (1776) has had tremendous
influences on scholars and policymakers alike. As the title of the book indicates, Smith was
mainly concerned with the problem of economic development. He wanted to discover how
economic growth came about and what factors impede it. It is interesting to know that no single
compressive theory of growth and development has emerged that has superseded the original
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work by Smith. In his work, which most economists view as marking the beginning of the
Classical economics, Smith sets forth the Classical principles of economic development. These
principles are anchored on a governmental policy of laissez-faire. The principle of division of
labour and the increase productivity brought on by the division of labour but limited only by the
extent of the market. As a result, free trade was advocated as a way to promote this division of
labour by exploiting each nation’s comparative advantage in production.
Recention actions by less developed countries and policies advocated by some developed
economies are at odds with this laissez-faire principle. Their argument is that government must
direct the development process. Many of these opinions grew out of the experience of the 1930s
and the 1940s when Soviet Union was able to grow very rapidly by applying severe authoritarian
development techniques - as a result of this, the Soviet Union development process was very
successful given room for economies from the underdeveloped world to attack the laissez-faire
principles. They began to argue that “no policy of economic development can be carried out
unless the government has the capacity to adhere to it…” Quite often however, democratic
government loses touch and determination in the face of opposition. This is the dilemma of most
democratic government. It is here that Soviet countries have an immense advantage; their
totalitarian structure shields the government from rigorous and reactionary judgment of the
electorates.
The Classical theory can be summarized as follows:
a) Laissez-faire Policy: The classical economics believes in the existence of an automatic
free market which is an economy free from government interference. It is the invisible
hand doctrine commonly associated with Adam smith which maximizes the material
income.
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b) Capital accumulation. Capital accumulation was accepted as the key to economic
progress. All classicists regarded capital accumulation as the only way to economic
prosperity and by extension to political leaderships. They therefore, lay emphasis on large
saving.
c) Profits as an incentive to investment. Profits induce investment, the larger the profit the
larger the capital accumulation and investment.
Criticism of the Classical Theory of Growth
The simple and abstract classical theory of development is not free from criticism
i. Neglect of the public sector. To the classicists, the perfect competition and the
institution of the private sector were essentially prerequisite for economic
development. They have however, failed to realize the important of the public
sector in accelerating capital accumulation, so preached by the classical.
ii. They ignore the middle class. The whole classical analysis was based on socio
economic environment prevailing in Britain and certain part of Europe. It
assumed the existence of a rapid division of society between the capitalists and
the proletariat or labourers. It neglected the whole of middle class which provides
the necessary impetus to economic growth. It did not occur to the classical that
the major source of saving in an advanced society was the income receive and not
the property owners.
iii. Unrealistic growth process. The classical theory assumed a stationary stage in
which there was no change, but havoured around a point of equilibrium, even
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where there was disturbances, such was transition and temporary and can be
restored through the automatic device.
3.2.5. The Harrod-Domar Growth Model
The model is a product of two scholars: Professor Roy Harrod of Britain (1939) and
Evsey Dommar of USA (1946). It is actually a growth theory and it emphasizes one of the
components of the big-push - capital which has always been considered important for economic
development. The source of capital is mainly saving consequently, in order to achieve economic
development; saving or capital formulation must increase over a period of time. This of course
should result in relative decrease in consumption which in turn is necessary if rapid economic
growth is to be achieved. A key objective of the Harrod-Domar Model is to overcome the
limitation inherent in the short-run nature of the simple Keynesian model. This model takes
cognizance of only one of the dual roles of investment in the economy, its role as a component of
aggregate demand. However, the dual role of investment as (1) a component of aggregate
demand and (2) as an addition to the stock of productive resources must be accommodated in any
long-run analysis for it to be meaningful. This is because net investment has both a demand and
supply effect.
The Harrod-Domar model is based on a number of simplified assumptions which include:
i. A closed economy with no foreign sector
ii. Homogeneity of labour that grows at a constant natural rate.
iii. Two factor inputs, labour and capital only exist in the economy with absence of
technical progress.
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iv. Output increases (decreases) by the same proportion of input increases
(decreases). This is the assumption of constant returns to scale.
v. The production function is of the Leontief type characterized by fixed factor
proportions with L shaped isoquant.
vi. A Constant-Capital-Output-Ratio: The model assumes a constant capital output
ratio. It implies a production function with constant capital output coefficients.
Simply put, Harrod-Domar model assumes that national income is proportional to
the stock of capital.
Y = kK, (k > 0)………………………………… (1)
Where
Y = national output
K = total output for capital
k = output capital ratio
Since output-capital-ratio is assumed to be constant, any increase in national
output (ΔY) must be equal to k time’s ΔK, i.e.
ΔY = kΔK.. ………………………………………… (2)
It follows from equation (2) that the growth of national output per time unit depends on
and is limited by the growth of capital stock per time unit. If an economy is in equilibrium and
the existing stock of capital is fully employed, their capital output (K) can easily worked out.
Once k is known, then additional capital required for producing a given additional output can be
easily worked out by using equation (2). Since increase in capital stock (ΔK) in any given period
equals net investment (I) of that period, equation (2) may be written as:
ΔY = kI ………………………………………… (3)
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vii. A Constant-Saving-Income-Ratio: It assumes that society saves a constant
proportion of the national income. i.e, total savings (S) is a function of income, Y
and the avings function can be written as:
S = s(Y) (s > o ) …………………………………… (4)
Where S = savings
s = constant propensity to save.
At equilibrium level of output, the desired savings must be equal to the desired
Investment, that is,
S = I = sY ……………………………………… (5)
Given the assumptions, the growth rate defined as ΔY/Y may be obtained as
follows:
ΔY/Y =Yt – Yt-1)/Yt
Where:
Yt-1 = national output in period t – 1
Yt = national output in period t
It may be infer from equation (6.3) that in period t,
ΔYt = kIt ………………………………………… (6)
By substitution, equation (6.6) may be written as:
Yt - Yt-1 = k. s Yt ………………………………… (7)
Equation (5) tells us that the Harrod-Domar model assumes that at equilibrium in
period t, It = St = Yt By substituting sYt for It in equation (7) we get:
Yt - Yt-1 = k. s Yt ………………………………… (8)
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By dividing equation (8) by Yt, we get the growth rate ΔY/Y or what Harrod
calls the warranted growth rate Gw as:
Gw = Yt – Yt-1/Yt = ΔY/Y = k.s …………………… (9)
Where Gw is the warranted growth rate
Equation (9) shows that the rate of growth equals the output-capital-ratio times the
constant propensity to save. Since growth rate pertains to the condition that I = S, this may also
be called equilibrium growth rate which implies capacity utilization of capital. This growth rate
fulfilled the expectations of the entrepreneur. Therefore, this growth rate has been termed as
warranted growth rate.
Harrod-Domar defines Gw as that rate of growth which if it occurs, will leave all parties
satisfied that they have produced neither more nor less than the right amount. According to the
Harrod-Domar model, a target growth rate can be attained either by increasing the marginal
propensity to save and increasing simultaneously the stock of capital or by increasing the output-
capital-ratio.
Capital Accumulation and Labor Employment under Harrod Domar Model
We have so far discussed the Harrod-Domar model of growth with respect to only one
aspect of the model i.e. capital accumulation and growth. We now discuss another important
aspect of the model i.e. employment of labuor. In the Harrod-Domar model, labour can be
introduced to the model under the following assumptions:
1. That labour and capital are perfect compliment instead of being substitute for
one another.
2. And that capital-labor ratio is constant.
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Under these assumptions, given the capital-labor-output-ratio, economic growth can take place
only so long as the potential labour force is not fully employed. This implies that a potential
labour supply imposes a limit to economic growth at the full employment level. This means:
(i). that growth rate will take place beyond the full employment only if supply of
labour increases.
(ii). that actual growth rate will be equal to a warranted growth rate (Gw) only if growth
of labor force equals the warranted growth rate (Gw). If labor force increases at a lower rate, the
only way to maintain the growth rate is to introduce the labor-saving technology. Under this
condition the long-term growth rate will depend on:
a. growth rate of Labour force ( ΔL/L)
b. the rate of progress in Labour-Saving technology
Thus the maximum growth rate that can be sustain in the long run will be equal to ΔL/L plus a
factor n i.e the rate at which capital substitute labour. Harrod calls this growth, the natural
growth rate (GN).
GN = ΔL/L + n …………………………………… (10)
Criticisms of Harrod-Domar Model
Harrod-Domar model was formulated primarily to protect the developed countries from
chronic unemployment, and was not meant for developing countries.
Most less developed countries lack sound financial system and therefore, increased
saving by households does not necessarily mean there will be greater funds available for firms to
borrow for invest.
Improving capital/output ratio is difficult to achieve in developing countries this is often
due to a poorly educated work force. New capital is often inefficiently used by labour.
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Increasing the savings ratio in developing countries is not always easy. Majority of these
developing countries have low marginal propensities to save and low income.
Research and Development needed to improve the capital/output ratio is often
underfunded in developing countries.
The model fails to address the nature of unemployment which exists in different
countries. In developed countries, the unemployment is ‘cyclical unemployment’, which is due
to insufficient effective demand; whereas in developing countries, there is high level of
‘disguised unemployment’ in the urban informal sector and rural agricultural sector.
Finally, the model failed to recognise the effect of government programs on economic
growth.
Importance and Limitations of the Harrod Domar Model
Importance
The Harrod-Domar model like we have been taught was formulated to maintain the
steady growth rate in developed economies of the world and not to address the problem of
vicious cycle faced by the developing countries. Be that as it may, the model could still be used
to aid in analysing the growth process in less developed countries. The importance of this model
to the developing countries is explained below.
The Harrods-Domar models are based on three principal concepts: the saving function,
autonomous vs. induced investment, and the productivity of capital. These concepts were
primarily developed in order to illuminate secular stagnation that was threatening the advanced
economies in the post-war period. The models show us the rate at which the economy must grow
if it is to make full use of the capacity create by new investment and it gave a projection of
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capital-output ratio of between 2.5 and 5, this rate can also be applied in less developed
countries.
Limitations
1. Unrealistic assumptions: The Harrod-Domar propositions that savings will always
increase to match with investment need is based on the assumption that the warranted growth
rate is equal to the actual growth rate. This is possible only under the following simplified
assumption of the model.
i. MPC remains constant
ii. Output capital ratio (k) is constant
iii. The technology of production is given
iv. The economy is initially in equilibrium
v. There is no government expenditure and no foreign trade
vi. There are no lags in adjustment between
a. demand and supply
b. savings and investment
Since these assumptions make the modern economy unrealistic, the warranted or expected
growth rate may not always be equal to the actual or realized growth rate. And if warranted and
actual growth rate are not equal there will be economic instability.
2. Another major defect of the model is that the parameters used namely: capital output
ratio, marginal propensity to save, growth rate of labour force, progress rate of labour saving
technology are all determined independently out of the model. The model therefore, does not
ensure the equilibrium growth rate in the long run. Even the slightest change in the
parameters will make the economy deviate from the path of equilibrium.
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In spite of these limitations, the Harrod-Domar model had been used in development
planning of many countries. Besides, it has a great analytical power. One key policy implications
of the Harrod-Domar model is that the growth rate of the economy can be influenced by policy
markers by tinkering with components of the warranted growth rate. This means that by
designing policies to influence the saving rate or enacting policies to reduce the output-capital-
ratio say, by investment in human capital, productivity of capital can be increased hence the
growth rate of the economy can be considered a policy variable.
3.2.6. The Neoclassical Growth Model
In one sense, neoclassical growth theory stands at an opposite extreme from Harrod-
Domar. In place of the Harrod-Domar assumption of a single production process that imposes a
fixed ratio between capital and labour is the assumption of an indefinitely large number of
production processes, one shading off from another in a way that permits any combination of
labour and capital to be employed. Capital is thus regarded as a unique, abstract agent of
production that can be adjusted at any time to absorb into employment a labor force of any size.
With the combination of labour and capital capable of varying in this way, it follows that, instead
of the fixed ratio between output and capital employed by Harrod-Domar, the output capital ratio
is also capable of varying continuously. Thus, the larger the labour force absorbed into
employment with a given stock of capital, the greater will be the output capital ratio, or the
productivity of capital and the smaller will be the output-labour ratio or the productivity of
capital and the higher the productivity of labour. These results follow simply as a matter of
diminishing returns.
In order to explain the model, it begins by pointing out the differences and similarities
between the assumptions of the Harrod-Domar and Classical growth models.
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1. While the production function implicitly in the Harrod-Domar model contains
only one factor i.e. capital, the neoclassical growth model assumes a multifactor
production function including capital, labor and technology.
2. In the Harrod Domar, labour and capital are deemed to be perfect complement
of one another where as in the Neoclassical model, capital and labour are
assumed to be substitute for one another.
3. While Harrod-Domar model assumes a constant capital output ratio, the
neoclassical model assumes a variable capital output coefficient. Incidentally,
both models assume that capital and labor are subject to the law of diminishing
marginal returns to scale.
4. In addition, the neoclassical model assumes perfect competition where factor
prices equal their marginal revenue productivity.
According to the neo-classical model, rate of economic growth depends on growth rate of:
- Capital, K;
- Labour supply, and
- Technological progress over time, T.
The relationship between the national output and these variables maybe expressed in the
form of a production function i.e:
Y = f (K, L, T) ………………………………………… (11)
Where:
Y= national output
L = Labour supply
K = stock of capital
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T = the scale of technological progress
If technology assumes to remain constant for the sake of simplicity, then the growth rate
depends on K and L. The production function then takes the following form:
Y = f ( K, L ) ………………………………………… (12)
Given the assumption of constant returns to scale, if the increase in L is not very great in
the period in question, the increase in Y will be approximately equal to the increase in L times
the marginal physical product of L, or ΔY = MPPL. ΔL in which MPPL is the marginal physical
product of labour or the increase in Y that accompanies a unit increase in L with K held constant.
If we had assumed an increase in K with no change in L, under the same assumptions, we would
have had ΔY = MPPK.ΔK in which MPPK is the marginal physical product of capital or the
increase in K with L held constant. Finally, for changes in both K and L in a given time period
we may write:
ΔY = MPPK.ΔK + MPPL.ΔL ………………………… (13)
Dividing both sides by Y, we have:
ΔY/Y = (MPPK)/Y.ΔK + (MPPL)/Y.ΔL
This may also be written as:
ΔY/Y = (MPPK/Y.K)ΔK/K + (MPPL/Y.L) ΔL/L ………… (14)
If we recall the assumption noted earlier of perfect competition markets and now adopt
the marginal productivity theory of factor pricing, each unit of a factor will be paid its marginal
product, and the total earnings of capital and Labour will equal to MPPK.K and MPPL.L
respectively. Given that factors are paid their marginal products, the total earnings of capital and
labour will exactly absorb the total output in the case of the present production functions with
constant returns to scale that is:
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MPPK.K + MPPL.L = Y………………………………… (15)
Since:
MPPK.K/Y + MPPL.L/Y = Y/Y = 1………………………… (16),
We may substitute b for the first term on the left and (1 – b) for the second term and rewrite
equation (6.14) in the following form:
ΔY/Y = b (ΔK/K) + (1-b) (ΔL/L) ………………………… (17)
The magnitude of b indicates the proportion of the total product or of total income that would be
received as a return on capital if capital were paid its marginal product. This is the same as
saying that b measures the elasticity of output with respect to changes in the amount of capital
used. The same kind of statement may of course be made for labour by making the appropriate
substitutions in the second preceding sentence.
Assuming a value for b = 0.25, we may read from equation (17) the percentage change in
output that will follow from a given percentage change in capital, labor or both. If both K and L
rise by 3 percent, output also rises by 3 percent, for the underlying production function is one
with constant returns to scale. In this case, we have:
ΔY/Y = 0.25 X 3 + 0.75 X 3 = 3
Like the Harrod-Domar model, the neoclassical growth model implies that the path and peed of
an economy’s growth are endogenous policy variables that are within the ambit of policy
makers.
ITQ
Explain the criticism of classical growth theory
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ITA
i. Neglect of the public sector. To the classicists, the perfect competition and the
institution of the private sector were essentially prerequisite for economic
development. They have however, failed to realize the important of the public
sector in accelerating capital accumulation, so preached by the classical.
ii. They ignore the middle class. The whole classical analysis was based on socio
economic environment prevailing in Britain and certain part of Europe. It
assumed the existence of a rapid division of society between the capitalists and
the proletariat or labourers. It neglected the whole of middle class which provides
the necessary impetus to economic growth. It did not occur to the classical that
the major source of saving in an advanced society was the income receive and not
the property owners.
iii. Unrealistic growth process. The classical theory assumed a stationary stage in
which there was no change, but havoured around a point of equilibrium, even
where there was disturbances, such was transition and temporary and can be
restored through the automatic device.
3.3. Activity: Macroeconomics II
1. Using the concept of the Harrod-Domar model, explain the barriers to growth that may be
faced by developing countries.
3.4. Summary of Study Session 1I
In this study session, you have learnt:
1. Schumpeterian growth theory
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2. Marxian growth theory
3. Classical growth theory
4. Harrod-Domar growth model
5. Neo-classical growth theory
3.5. SAQ
SAQ (LO 1) What is economic growth?
SAQ (LO 2) State one of the believes of Schumpeter’s theory of growth.
SAQ (LO 3) How does Marx view growth?
SAQ (LO 4) All classicists regarded capital accumulation as the only way to economic
prosperity and by extension to political leaderships. True or False
SAQ (LO 5) Homogeneity of labour that grows at a constant natural rate. True or False
SAQ (LO 6) According to the neo-classical model, rate of economic growth depends on growth
rate of population. True or False
3.6. References
Anyanwu, J.C. & Oaikhenan, H.E. (1995). Modern macroeconomics: Theory and
Jhingan, M. L. (2007). The Economics of Development and Planning.
(39th ed.). Delhi: Vrinda Publications (P) Ltd.
Olajide, O. T. (2004). Theories of Economic Development and Planning.
Lagos: Pumark Nigeria Ltd.
3.7. Suggested Reading
Todaro, M. P. & Smith, S. C. (2011). Economic Development. (11th ed.). England:
Pearson Education Ltd.
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www.preservearticles.com/..../what-are-the uses-of-harrod-domar model.
Accessed on the 4/9/2016
en.wikipedia.org/wiki/Harrod–Domar_model . Accessed on the 4/9/2016
http://www.econlib.org/library/Enc/bios/Harrod.html. Accessed on the
4/9/2016
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STUDY SESSION 1V
MACROECONOMIC POLICIES AND OPTIMAL ALLOCATION OF
RESOURCES
PAGES
INTRODUCTION
4.1 LEARNING OUTCOMES
4.2 IN-TEXT
1. MACROECONOMIC POLICIES
2. EFFECTS OF CHANGES IN FISCAL POLICY
3. EFFECTS OF CHANGES IN MONETARY POLICY
IN-TEXT QUESTIONS
IN-TEXT ANSWERS
4.3 ACTIVITY
4.4 SUMMARY
4.5 SELF ASSESSMENT QUESTIONS
4.6 ` REFERENCES
4.7 SUGGESTED READING
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Study Session 1V: Macroeconomic Policies and Optimal Allocation of
Resources
Introduction
This study session is aimed at expanding your knowledge on macroeconomic policies and
optimal allocation of resources in an economy. Also, the effects individual policies on economic
growth was considered.
4.1. Learning Outcomes
At the end of this study session, you should be able to:
1. Explain macroeconomic policies
2. Discuss the effects of changes in fiscal policy
3. Discuss the Effects of changes in monetary policy
BOLD TERMS
4.2. In-Text
4.2.1 Macroeconomic Policies
Macroeconomic policies generally refer to monetary policy, fiscal policy,
income and expenditure policy etc, which are normally used by governments in order to re-
direct an economy towards a desired path of growth and development. In other words,
government adopts such policies to ensure speedy growth of the economy, provide adequate
employment opportunity for the citizens leading to higher per capita income and welfare; while
at the same time tackling the menace of unemployment and inflation.
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Monetary and fiscal policies are generally referred to as demand management policies
because countries use them largely to manage demand for goods and services. The income policy
leans towards the supply side of the economy. It attempts to shift the aggregate supply curve via
shifting labour supply through shifting the nominal wage rate.
At this juncture we presume that students in this class have already treated IS LM Model
extensively at the previous levels and hence are familiar with the concepts and its usage.
Therefore our analysis of macro-economic policies will build on the previous knowledge.
We already know through the derivation of the IS-LM curve that the commodity market
is in equilibrium when:
Y = c (y - t(y) + i(r) + g
and the money market equilibrium condition is given as:
Lm = M/P = l(r) + k(y)
The above equations determine the equilibrium levels or values of y and r for any given
value of P. Changing the level of P changes the equilibrium values of y and r via changes in real
money supply M = M/P. Finally the economy's aggregate demand curve is arrived as follows:
Figure 3: Economy's Aggregate Demand Curve
DP
PO
OYO Y
D
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Similarly, supply is also derived from a consideration of demand and supply in the labour
market. It was clear that equilibrium output and employment depends on the actual price level
'P'. Thus the aggregate supply could be derived from the analysis of labour market as well as
production function which relates the supply of output ‘y' to employment 'N'. The aggregate
supply derived is of the following feature:
Figure 4: Economy's Aggregate Supply Curve
The demand side can be summarized in to the equilibrium condition of product and
money market as follows:
Y = c (y - t(y) + i(r) + g
Lm = M/P = l(r) + key)
The supply side combines a production function and labour market equilibrium condition thus:
P1
P
PO
P
OY0 Y1 Y
S
P S
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Production function: y = y(N, K)
Labour market: P.f(N) = pe.g (N) = p(P).g(N)
Where:
y = supply of output i = investment
r = interest rate g = growth rate
N = employment P = price level
The intersection of these two curves gives the equilibrium for the economy as a whole.
Traditionally, the IS-LM framework is the device used to show this intersection which
establishes the relationship between the expenditure and money markets. Here, spending, interest
rates, and income are determined jointly by equilibrium in the expenditure and money markets.
The curves drown in figure 3 and 4 can be brought together in a form of IS-LM curve to portray
the equilibrium level of income as shown below.
Figure 5: Economy's Equilibrium Level of Income
r
re
0 Ye Y
IS
LM
E
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Since the IS curve slopes downwards and the LM curve slopes upwards, the two curves
intersect in just one point, at re, and Ye, depicted by "e" in the figure above. At this point, two
conditions for equilibrium are simultaneously satisfied. First, planned savings equals planned
investment. Second, the stock of money in existence equals the stock of money demanded in the
economy. The interest rate r, and income level Ye represent the only point at which those two
equilibria are simultaneously satisfied. This position is the equilibrium level of income and
interest rate in the Hicks-Hansen framework or neoclassical synthesis. In other words, at this
point existing resources are maximally utilized. Hence, output and income are at their highest
peak.
4.2.2. Effects of Changes in Fiscal Policy
An increase in government spending generally, or a tax cut will shift the IS curve
from 1S1 to IS2, implying a higher level of income (Y1 to Y2) and a higher interest rate (r1 to r2)
as shown in Figure 6.
r
r2
0 Y2Y1
r1
LM
S2
Y
S1
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Figure 6: Effect of changes in Fiscal Policy
Note that the flatter the LM curve, the more pronounced will be the effects of a fiscal
policy change on income and the smaller on the level of interest. On the extreme, a horizontal
LM curve will give rise to the highest possible expansion in income and a zero change in the
level of interest. Think of how the situation will look like if the LM curve were to be vertical. On
the other hand, the flatter the IS curve, the smaller will be the effect of fiscal policy on both
interest rate and income.
4.2.3. Effects of Changes in Monetary Policy
A rise in the money stock shifts the LM curve to the right, lowering the rate of interest
and raising the level of income as shown in Figure 7.
Figure 7: Effect of changes in Monetary Policy
Also, the flatter the IS curve, the more pronounced will be the effects of a change in
money stock on the level of income, and the smaller on the rate of interest. A horizontal IS curve
r
r2
0 Y2
LM1
r1
Y1 Y
S2
LM2
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therefore will give rise to the highest possible expansion in income and leaving the interest rate
unchanged. Can you think of the effects of a change in money stock on interest rate and income
where the IS curve is vertical?
ITQ
List the assumptions of Fisher’s Theory
ITA
Assumptions of Fishers Theory
i) P is passive in the equation of expression of exchange though other factors are active.
ii) Constancy of proportion of MI to M.
iii) Both V and V1 are assumed to be constant and independent of changes in M1and M.
iv) T also is constant and independent of M' to M, VI to V.
v) Demand for money is proportional to the value of transactions.
vi) Supply of money 1S exogenously determined and constant.
vii) The theory is applicable in the long run
viii) The theory is based on assumption of full employment I the economy.
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4.3. Activity: Macroeconomics II
1. With the use of an appropriate diagram show how a shift of the IS curve outward can
affect the level of interest rate in an economy
4.4. Summary of Study Session 1V
In this study session, you have learnt:
1. Macroeconomic policies
2. Effects of changes in fiscal policy
3. Effects of changes in monetary policy
4.5. SAQ
SAQ (LO 1) Monetary and fiscal policies are generally referred to as demand management
policies. Why?
SAQ (LO 2) What will be the effect of government spending on the economy?
SAQ (LO 3) State the implication of rise in money stock.
4.6. References
Anyanwu, J.C. & Oaikhenan, H.E. (1995). Modern macroeconomics: Theory and
Applications in Nigeria. Joanee Educational Publishers Limited Onitsha- Nigeria
Dornbusch. R, Stanley, F. & Startz, R. (1985). Macroeconomics: Concepts, Theories
and Policies, McGraw-Hill, Book Company, New York.
Jhingan, M.L. (2005). The Economics of Development and Planning 38th Revised and
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enlarged Edition, Punjabi Publication, India.
Jhingan, M.L. (2007). Macroeconomic theory, 11th Revised Edition, Punjabi
Publication, India.
4.7. Suggested Reading
Parkin, M. (1982). Modern Macroeconomic, Prentice-Hall, Canada Inc, Ontario.
Shapiro, E. (1974). Macroeconomic Analysis, Third Edition. Harcourt Brace
Jovanovich, Inc. New York.
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Solution to SAQs
Study Session I
SAQ (LO 1): Capital is subject to diminishing returns because of the amount that can be
effectively invested and because of the growing burden of depreciation.
SAQ (LO 2): Fictitious capital refers to intangible representations or abstractions of physical
capital, such as stocks, bonds and securities (or "tradable paper claims to wealth")
SAQ (LO 3): Natural capital is inherent in ecologies and increases the supply of human wealth,
e.g. trees.
SAQ (LO 4): Productivity
Study Session II
SAQ (LO 1): Professor Coulborn sees money as "the means of valuation and payment; as both
the unit of account and the generally acceptable medium of exchange.
SAQ (LO 2): The currency notes issued by CBN of a country and the cheques of commercial
banks.
SAQ (LO 3): Money is called neutral if monetary changes in the economy have no impact on
real economic activity.
SAQ (LO 4): Value
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SAQ (LO 5): True
SAQ (LO 6): Demand for money
Study Session III
SAQ (LO 1): Economic growth is the increase in the inflation-adjusted market value of the
goods and services produced by an economy over time
SAQ (LO 2): Schumpeter believes that the economic system is full of uncertainties and risks that
is inevitably discontinues or moves in a speed.
SAQ (LO 3): Marx views growth as a process of continue transformation of the society and
social function and political life.
SAQ (LO 4): True
SAQ (LO 5): True
SAQ (LO 6): False
Study Session IV
SAQ (LO 1): Monetary and fiscal policies are generally referred to as demand management
policies because countries use them largely to manage demand for goods and services.
SAQ (LO 2): An increase in government spending generally, or a tax cut will shift implies a
higher level of income and a higher interest rate.
SAQ (LO 3): A rise in the money stock lowers the rate of interest and raises the level of income.