THE NEXUS BETWEEN UNEMPLOYMENT AND OUTPUT GROWTH IN NIGERIA (1980-2011) BY (OLIYIDE PAUL AZEEZ) 10EA000787 A RESEARCH PROJECT SUBMITTED IN PARTIAL FULFILMENT OF BACHELOR OF SCIENCE B.SC (HONS) DEGREE IN THE DEPARMENT OF ECONOMICS, COLLEGE OF BUSINESS AND SOCIAL SCIENCES. LANDMARK UNIVERSITY OMU-ARAN 1
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THE NEXUS BETWEEN UNEMPLOYMENT AND OUTPUT GROWTH IN NIGERIA 1980-2011
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THE NEXUS BETWEEN UNEMPLOYMENT AND OUTPUT GROWTH IN
NIGERIA (1980-2011)
BY
(OLIYIDE PAUL AZEEZ)10EA000787
A RESEARCH PROJECT SUBMITTED IN PARTIAL FULFILMENT
OF BACHELOR OF SCIENCE B.SC (HONS) DEGREE IN THE
DEPARMENT OF ECONOMICS, COLLEGE OF BUSINESS AND
SOCIAL SCIENCES.
LANDMARK UNIVERSITYOMU-ARAN
1
MAY, 2014
ABSTRACTThis paper critically examines the nexus between
unemployment and output growth in Nigeria from 1980 to 2011
using secondary time series data. The data were collected
from National Bureau of Statistics (NBS), IMF, World
Economic Outlook (WEO), Journals and CBN Statistical
Bulletin. The Johansen co-integration rank technique was
used to test for co-integration in an attempt to investigate
the long run relationship among variables and the Vector
Error Correction Model (VECM). Also, the variance
decomposition test was used to explain the percentage of
each of the explanatory variables used on the dependent
variable. The result of the Johansen co-integration test
showed an evidence of long run relationship among the
variables. The empirical findings of the VECM from the short
run model shows that a period lag GDPG, INF, FDI and two
periods lag GDPG, INF, and FDI significantly influence
current GDPG. Empirical findings from the variance
2
decomposition of GDPG indicate that in the first period GDPG
explains 100% of the total variation in itself and in the
10th period, GDP only explains 36.1% of the total variation
in itself. Further evidence revealed that the percentage of
unemployment to GDPG in the 10th period is 0.86%, inflation
explained 6.79% of the GDPG and foreign direct investment in
the 10th period explained 15.82% of the GDPG. Hence the
study recommended that, government should ensure that
available human resources are used as effective agents of
growth and modernization through general mobilization and
purposeful motivation. It also recommended that programs of
integrated vocational training and re-orientation of
economic activity towards self-employment and self-reliance
should be encouraged in order to minimize the unemployment
problem in Nigeria.
CHAPTER ONE
INTRODUCTION
1.1 BACKGROUND OF THE STUDY
3
Nigeria’s unemployment is seen to have been a threat to its
development, security and peaceful co-existence of the
economy, being that Nigeria is made up of diverse entities
from different cultural and religious backgrounds most of
whom have shown differences in political, cultural, economic
and religious understanding and accommodation emanating from
concerns of abuse of power, resource allocation,
mismanagement, political discrimination, negligence and
corruption among others.
However, Tairu Bello (2003) from time immemorial argued that
the subject of unemployment has always been an issue of
great concern to the economists, policy makers, analyst and
economic managers alike; giving the devastating effect of
this happenings on individuals, the society and the economy
at large.
The examined facts on the performance of the Nigerian
economy in 1980 shows that inflation was 10 per cent while
the growth of GDP stood at 4.2 percent (higher
4
than the growth rate of the population). The rediscount rate
was 6 percent while that of unemployment was 6.4 per cent.
Also, other major findings of the study shows that the
economy grew by 55.5 percent between 1991 and 2006; and the
population increased by 36.4 percent. All things been equal,
this should have resulted to a decrease in the rate of
unemployment but rather, unemployment increased by 74.8
percent.
The study found out that the average contribution of the oil
sector to the GDP between 1991 and 2006 is 30.5 percent
while agriculture that is the main source of gainful
employment in the country contributed 36.7 percent just a
difference of 6.1 percent from that of oil that employs less
than 10 percent of the labour force. (Asoluka and Ihugba,
2011).
From 2000-2011, there was some attempt to manage the economy
better: inflation rate though double digits, was within the
5
accepted threshold for Nigeria, and though the economy grew
by almost 7 per cent, unemployment was consistently high
from 21.10 per cent in 2010 to 23.9 per cent in 2011 of
which the high rate of unemployment resulted in output loss,
indicating that Nigerian economy was producing below full
potential (NBS, 2011).
1.2 STATEMENT OF THE PROBLEM
According to the ILO (International Labour Organization),
over 900 million persons are living below the $2 a day
poverty line. It is estimated that 456 million workers
around the world are living in extreme poverty (below $1.25
a day).
The intensity of unemployment within the global economy can
be seen from the fact that unemployment rate is steadily
increasing each year in line with the increase in population
of about more than 160 million people.
However, between the ages 16 and 64, statistics showed that
Nigeria, compared to other countries of Africa has the
6
largest segment of youth unemployment. In absolute terms; it
is estimated presently that about 22 million youths are
unemployed in Nigeria out of the 60 million people available
for work (NBS, 2011).
The study discovered that much of the ‘open’ unemployment
observed in Nigeria is due to structural factors such as the
nature of the educational system and its interface with the
labor market, technological change, permanent shifts in the
demand for goods and services and the skill content of the
labor force.
Therefore, the problem statement of the study is to look at
the following:
a)The causes of unemployment in Nigeria?
b)How has unemployment affected economic growth and
basically, the development of the country?
c)What are the effects or consequences of unemployment
in Nigeria?
7
d)Have there been measures in the past towards reforming
unemployment in Nigeria? If there has been, how
effective have they been?
1.3 OBJECTIVES OF THE STUDYThe broad objective of the project is to examine the nexus
between unemployment and output growth in Nigeria.
The specific objectives of this study are to:
investigate the relationships that exist between
unemployment and output growth during the period under
review.
examine the casual relationship that exist between
unemployment and real GDP.
examine the major current causes of unemployment in
Nigeria, and its consequences on real GDP.
evaluates the various economic and manpower policies
and programmes that have been adopted by the Nigerian
government to tackle the nation’s chronic unemployment
problem.
8
1.4 SIGNIFICANCE OF THE STUDYThe study tends to evaluate the relationship between
Unemployment and Output growth in Nigeria from 1980-2011. It
is believed that the research will be of great importance to
various policy makers, create jobs for job researchers,
analyst, economist, economic managers and the economy at
large that are willing to carry out further research on the
topic.
1.5 RESEARCH QUESTION
1. How has unemployment being a major problem in the
Nigerian economy?
2. How can unemployment be reduced and what are the
measures to be taken in order to have effective output
growth in the economy?
3.What are the causes of unemployment in Nigeria?
4.What are the effects or consequences of unemployment in
Nigeria?
9
1.6 STATEMENT OF HYPOTHESIS
H0 Null - There is no significant relationship between
Unemployment and output growth.
H1 Alternative - There is significance relationship between
Unemployment and output growth.
1.7 SCOPE OF THE STUDY
The scope of this study covers the relationship between
unemployment and output growth in Nigeria from 1980-2011.
This reviewed year will give us 31 years impact to the
economy. The data used for this study is obtained mainly
from secondary sources which include Central Bank
Statistical Bulletins, Journals, etc. These data are mainly
restricted to the Nigerian economy.
1.8 ORGANIZATION OF THE STUDY
10
The paper is organized as follows. Following the
introductory section in Chapter 1, Section 2 reviews the
literature. The methodology of the study is discussed in
Chapter 3. An econometric analysis of the relationship
between the persistent unemployment crises on economic
growth in Nigeria is considered in Chapter 4 and finally,
Chapter 5 presents the summary and conclusions of the paper.
1.9 LIMITATION OF STUDY
The research work was limited to secondary data provided by
the National Bureau of Statistics (NBS), IMF and CBN Statistical
Bulletin which might be inadequate to capture the reality of
the relationship between unemployment and output growth
because of the weak and unreliable data in Nigeria. Also the
research work was limited to financial constraints coupled
with the fact that other academic work were in progress.
1.10 OPERATIONAL DEFINITIONS OF TERMS
Unemployment: The unemployment rate can be defined as the
number of people actively looking for a job divided by the
11
labour force. Changes in unemployment depend mostly on
inflows made up of non-employed people starting to look for
jobs, of employed people who lose their jobs and look for
new ones and of people who stop looking for employment.
Economic Growth: This is an increase in a country’s real
level of national output or an increase in the 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.
Gross Domestic Product (GDP): This is the total market
value of the goods and services produced by a nation’s
economy during a specific period of time. It includes all
final goods and services. That is, those that are produced
by the economic resources located in that nation regardless
of their ownership and that are not resold in any form.
Inflation: This is a rise in the general price level of
goods and services over a period of time in an economy.
Delta Development Projects, Roads and bridges, Rail
transport projects, ICT, Petroleum/NNPC Projects)
maternal and child health, mass transit programmes and
vocational training and skill acquisition schemes.
(Federal Ministry of Finance, 2012).
2.2.7 UNEMPLOYMENT AND ECONOMIC GROWTH
According to Walterskirchen (1999) argued that there can be
no negative relationship between economic growth and
41
unemployment of which this was a wrong argument because GDP
and unemployment are both rising in the long run.
Unemployment however responds insignificantly to the changes
in the economy in the short run and economic growth lagged
by one year also remain insignificant in the short run and
the relationship of the economic growth lagged by one year
with employment has appeared to be negative. It is evident
that employment will only increase if GDP is rising faster
than productivity.
Other things being equal, the greater the amount of goods
and services produced, the greater the labor required for
production; because economic growth and employment go hand
in hand. But there is also the notion that higher
productivity could mean fewer jobs.
According to Calmfors and Holmlund (2000) there is often a
failure to distinguish between increases in output that are
due to higher capacity utilization and those that are due to
42
long-term growth. Labour-market reforms that lower wage
costs and thus increase employment will, of course, also
cause output to grow during the adjustment process.
The output increase will be reinforced with a lag by
increases in the capital stock, because investment will be
more profitable when the return to capital increases. This
leads to increases in labour productivity and to further
increases in labour demand. The adjustment process continues
until the return to capital has been restored to its
original level. The increase in the capital stock means that
labour-market reform will reduce real wages much less or not
at all in the long run than in the short run. (Bean, 1998).
According to Njoku and Ihugba (2011), he argued that there
is a hypothesis that regulation and taxation discourage the
operation of business and also reduce the demand for labor. It
may have an especially strong impact on smaller businesses,
since they have less access to capital markets than larger
enterprises.
43
According to Jhingan (2000) it is theoretically argued that
given a technique of partial capital intensity, the growth
rate of output and employment will be the same. But
technical changes, which may be due to education, improved
training and better management techniques, takes place over
time. This tends to increase labour productivity. If
labour productivity then increases, fewer workers are needed
to produce the same level of output, thus causing
unemployment in the economy.
Since the use of imported, expensive and inappropriate
capital intensive machines and equipment’s cannot be put to
full capacity in such countries due to lack of technical
personnel and infrastructural facilities like power, raw
materials, transport, etc., then the average cost of
production as a result of output cannot be maximized. Thus
such capital-intensive technique leads to prevalence of
unemployment in the economy. (Lawanson, 2007).
44
Nigerian unemployment rate increased by 69 percent from 6.1 in
1980 to 19.7 in 2009 while the economy grew by 72 percent from
201,036.3 in 1985 to 716,949.7 in 2009 (see the appendix table
2 ). What this means, is that, as unemployment was increasing,
the economy was equally growing, why? The rate of unemployment
can increase as a result of increase in the population of the
country because an increase in population signals an increase
in labor supply.
The contribution of inflation to GDP between 1981 and 1984
is 20.56 and 40.91 percent respectively which drastically
declined to 10.84 percent in 2011. The increase in
employment enhanced the purchasing power of the people in
the country and as result to it, consumption increases which
leads to raise aggregate demand and hence inflation in the
country. In Nigeria the percentage of foreign direct
investment to gross domestic product was 0.96 percent in
1986 but unfortunately, it increased to 3.4 percent in 1995
and 4.51 percent in 1996. However, as at 2006, the
percentage stood at 3.34 percent. In an attempt to attract
45
foreign capital, Nigeria’s investment policies have
witnessed significant changes since the introduction of
structural adjustment programmed (SAP) in 1986.
Host countries stand to derive a lot of benefits from
foreign direct investment. In spite of such benefits, Mishra
et’ al (2001) revealed that whereas foreign direct
investment has been associated with higher growth in some
countries, it has also been associated with higher incidence
of crises.
2.3 THE THEORETICAL FRAMEWORK
Aminu Umaru, Manu Donga. and Salihu Musa (2013), in their
study on unemployment gave a vivid theoretical approach to
unemployment and output growth in Nigeria.
2.3.1 CLASSICAL GROWTH THEORY
The classical economists like Adam Smith, David Ricardo and
Mill who were the exponents of the classical growth theory
assigned the rate of investment as the main factor for
46
fostering growth. Growth is a function of the share of
profits in the national income.
There exist a positive relationship between higher rates of
profit and higher rates of growth. Higher growth is achieved
via profits effective on the rate of investment. According
to the classical economists, the increased division of
labour and specialization made possible by increase in
growth rate of capital would result in increase in both
profits and wages.
However, it is argued that such increase may trigger off
income and population growth that may lead to diminishing
returns given that land is fixed. Classical models like
Ricardian growth model emphasized the limits to growth
imposed by the ultimate scarcity of land. The major short-
comings of this theory of growth is the failure to provide
for the possibility of the role of technical progress in the
growth process. Balami (2006).
47
2.3.2 THE HARROD-DOMAR GROWTH MODEL WITH UNEMPLOYMENT
Diminishing returns to the accumulation of capital (AK),
which plays a crucial role in limiting growth in the
neoclassical model, is an inevitable feature of an economy
in which the other determinants of aggregate output, namely
technology and the employment of labor, are both given.
However, there is a class of model in which one of these
other determinants is assumed to grow automatically in
proportion to capital, and in which the growth of this other
determinant counteracts the effects of diminishing returns,
thus allowing output to grow in proportion to capital. These
models are generally referred to as AK models, because they
result in a production function of the form Y = AK, with A
constant.
An early variant of the accumulated Capital (AK) model was
Harrod-Domar, which assumes that labour input grows
automatically in proportion to capital. To see how this
48
works, suppose first that the aggregate production function
has fixed technological coefficient
Y=f(L,K)=min(AK,BL)
Where A and B are the fixed coefficients. Under this
technology, producing a unit of output requires l/A units
of capital and I/B units of labor; if either falls short of
this minimum requirement there is no way to compensate by
substituting the other input. Surplus capital or supply of
capital is more or less than (B/A) times the exogenous
supply of labour. When AK <BL, capital is the limitation
factor. Firms will produce the amount Y = A K, and hire the
amount (1/ B) Y = (1/ B) A K < L of labor. With a fixed
saving rate, the capital stock will grow according to
Thus the growth rate of capital will be:
g=KK
=sA−δ
49
K−
=sAK−δK
Because output is strictly proportional to capital, g will
also be the rate of growth of output, and g - n will be the
growth rate of output per person. In the model as just
described, an increase in the saving propensity s will raise
the rate of growth g. If output per person is rising, then
the increase in growth will not be permanent, because with K
growing faster than L, eventually the binding constraint on
output will become the availability of labor rather than the
availability of capital; beyond that point there will be no
more possibility of growth in per capita output.
But if output per person is falling, the increase in growth
resulting from an increase in saving will be permanent In
this case, diminishing returns will never set in because the
faster growth of capital will be accompanied by a
permanently faster growth of labor input, which is made
possible by the fact that there is always a surplus of
unemployed labor in the economy.
50
2.3.3 THE NEW GROWTH THEORY (ROMER, 1990)
New Growth Theory is based on a view of the economy that
incorporates two important points. First, it views
technological progress as a product of economic activity.
Previous theories treated technology as a given, or a
product of non-market forces.
New Growth Theory is often called “endogenous” growth
theory, because it internalizes technology into a model of
how markets function. Second, New Growth Theory holds that
unlike physical objects, knowledge and technology are
characterized by increasing returns, and these increasing
returns drive the process of growth. Balami (2006).
This new theory addresses the fundamental questions about
what makes economies grow: Why is the world measurably
richer today than a century ago? Why have some nations grown
more than others? The essential point of New Growth Theory
is that knowledge drives growth.
51
Because ideas can be infinitely shared and reused, we can
accumulate them without limit. They are not subject to what
economists call “diminishing returns.” Instead, the
increasing returns to knowledge propel economic growth.
New Growth Theory helps us make sense of the on-going shift
from a resource-based economy to a knowledge-based economy.
It underscores the point that the economic processes which
create and diffuse new knowledge are critical to shaping the
growth of nations, communities and individual firms.
2.3.4 THE SOLOW GROWTH MODEL
This is an economic growth model in which the growth of
total GDP is explained by population increase, technical
progress, and investment. In this model there is full
employment, with an aggregate production showing constant
returns to scale.
In evaluating the process of economic growth Balami (2006),
Solow (2002) combined the supply and demand sides of the
52
economy together to generate economic growth. He argued that
economic growth can best be understood from neo-classical
point of view (supply side) which says Q = f (AKαL1-α).
Hence, the Solow model can also be referred to as the neo-
classical growth model. He assumed that savings is a linear
function of income, that capital does not depreciate so that
investment is simply the rate of increase of capital stock,
that savings is equal to investment, and that labour grows
at an exogenous constant proportion, the rate of growth or
level of technology is exogenously given.
2.4 REVIEW OF EMPIRICAL LITERATURE
Here the empirical literature on the relationship between
unemployment and economic growth were reviewed.
Obadan (2000) conducted a granger causality test to examine
the causal relationship between gross domestic investment
and economic growth in Nigeria for the period (1975 - 1996).
The result showed that the relationship between gross
53
domestic investment and economic growth is unidirectional,
running from investment to growth. Evidence from the
findings gives credibility to the crucial role of capital
formation in the growth process.
Zagler (2000) investigated the link between growth and
unemployment of U.K. for the period of 1982-1999. Structural
change played significant role in job creation and job
destruction of an economy. Fixed effects panel regression
method was used. The result showed a robust and negative
relation between unemployment and growth. Rapid growing
economies would face structural unemployment though for a
shorter period. Unemployment could be minimized through
efficient planning and improvement in human capital.
Bakare (2010) examines the determinants of the urban
unemployment in Nigeria. The variables for include level of
unemployment and demand for labour, supply of labour,
population, inflation, capacity utilization, gross capital
formation and nominal wage rate. Using time series secondary
54
data and parsimonious error correction mechanism, the study
found that the rising nominal wages and the accelerated
growth of population which affected the supply side through
a high and rapid increase in labour force relative to the
absorptive capacity of the economy appear to be the main
determinant of high unemployment in Nigeria.
Muhammad, et al., (2011) examines the role played by
unemployment on the making of the Nigerian Gross Domestic
Product (GDP) for a period of nine years (2000 - 2008).
Using the regression analysis, findings showed that
unemployment has an enormous effect (over 65 percent) on the
making of the Nigerian GDP and there exist an inverse
relationship between the model (unemployment) and the GDP
whereas increase in the model leads to decrease on the GDP
and vice versa.
Asoluka Njoku and Okezie Ihugba (2011) investigated the
relationship between unemployment and growth in Nigeria
(1985-2009). He identified that unemployment in Nigeria has
55
been on the increase which has resulted in increase in
social vices, human capacity under-utilization; increased
poverty amongst the citizenry, social alienation and weak
purchasing power among other negativity which has far
reaching consequences on the Nigerian economy.
Also Bakere (2012) conducted a study on stabilization
policy, unemployment crises and economic growth in Nigeria.
He employed OLS to determine the relationship for the period
of 29 years (1980-2008) and found that the nexus between
inflation, unemployment and economic growth in Nigeria were
negative.
Aminu and Anono (2012) conducted a study on the relationship
between unemployment and inflation. They used OLS, ADF for
unit root, Granger causality, Johansen cointegration, ARCH
and GARCH techniques. The study revealed negative
relationship between unemployment and inflation and no
causation between unemployment and inflation; though they
56
found that there is long-run relationship between the two
phenomena in Nigeria.
Aminu and Anono (2012) also investigated the effect of
inflation on economic growth and development in Nigeria.
They employed OLS, ADF and Granger causality and found that
there is a positive correlation between inflation and
economic growth in Nigeria, though the results revealed that
the coefficient of inflation is not statistically
significant, but is consistence with the theoretical
expectation, causation runs from GDP to inflation implying
that inflation does not Granger cause GDP but GDP does.
Garba (1997) conducted a study on foreign direct investment
and economic growth in Nigeria for the period (1970 - 1994).
His results showed that the coefficient of FDI was positive
with high values, indicating the sensitivity of FDI to GDP.
In his second model, the result obtained showed a good
measure of the elasticity of foreign direct investment with
respect to change in gross domestic product.
57
Andeyangtso (2006) in his study of the effects of foreign
direct investment on economic growth in Nigeria, the
empirical results show that there is a negative relationship
between the two variables.
Chang-Shuai Li and ZI-Juan Liu (2012) conducted a study on
the relationship among Chinese unemployment rate, economic
growth and inflation; they employed Granger causality test,
unit root, cointegration, VAR and VEC model. The study
revealed that unemployment impacted negatively on growth.
The study also revealed that there is causation between
unemployment and growth.
Rafindadi (2012) conducted a study on the relationship
between output and unemployment dynamics in Nigeria; he used
OLS and Threshold model and found a negative nonlinear
relationship between output and unemployment.
The Okun’s law also postulated the existence of a specific
empirical relationship between economic growth and the
58
change in the rate of unemployment. Several cross-country
studies on the convergence of the Okun’s Law Coefficient
(OLC) have gone underway. The importance of the Okun’s law
to public policy was captured by Perman and Tareva in this
statement: “The Okun’s law relationship has important
implications for macro policy as the size of the OLC is an
important indicator of the degree of interdependence of
output and labour movements around their long-run paths and
is regarded as a benchmark for policy-makers to measure the
cost of higher unemployment”.
59
CHAPTER THREE
METHODOLOGY
3.0 INTRODUCTIONThis chapter discusses the methodology used in the project;
the model specification, the research design, estimation
techniques, a priori expectations, and data sources.
3.1 MODEL SPECIFICATIONThe variables used in this study, had been used by the
classical and the neo-classical economists to measure
economic growth. Mankiw et al. (1992) found that human
capital played significant role in neoclassical model and
endogenous growth theory. Abbas and Foreman-Peck (2010)
elaborated the role of human capital in the economic growth
of Pakistan. There is a huge literature on investigating the
relationship between employment and growth as Dollar (1992),
Sachs and Warner (1995) and Vamvakidis (2002). This study
takes a lead from the above works with slight modications.
60
The first econometric model examines the short-run and
long-run relationship between employment and output growth
by applying the ordinary least Square (OLS) method. The
properties of the data are first investigated as it has been
established that most data contain trend. If these data are
stationary, then the OLS method is used without any fear of
spurousity. But if it is not stationary, a combination of
the variables are tested to see their cointegration.
The Johansen (1988) co-integration test is used to test for
the the possible cointegration. If this is cointegrated the
associated Error Correction Model (ECM) is used for the
estimation. Also, the Granger causality test is estimated
for the variables to determine the direction of causality
amongst the variables.
However, the essence of economic modeling is to represent
the phenomenon under investigation in such a way to enable
the researcher to attribute numerical values to the concept.
To determine the relationship between unemployment and
output we specify the model as:
61
Mathematical form GDPGRt=f(UNEMPt,INFLt,FDIt ) Statistical form GDPGRt=α0+α1UNEMPt+α2INFLt+α3FDIt ……………………3.1
Econometric form GDPGRt=α0+α1UNEMPt+α2INFLt+α3FDIt+μ1 … ……………..3.2UNEMPt = Unemployment rate at time tGDPGRt = Growth rate of gross domestic product at time tINFLt = Inflation rate at time tFDIt = Foreign Direct Investment rate at time tα0 = the interception of the model α1−α3 = the coefficient of the independent variables μt = error term at time t (stochastic term) that is used to
capture other variables, that are not included in the model.
It is expected to be purely random.
3.2 TECHNIQUES OF DATA ANALYSIS
The techniques of data analysis employed for this study is
the co-integration analysis and the Vector Error Correction
Mechanism (VECM). The model examined the time series
properties of various variables using Augmented Dickey-
Fuller (ADF) test. The Johansen co-integration rank
62
technique was used to test for co-integration among other
variables. Also the Vector Error Correction Mechanism (VECM)
and the Variance Decomposition was used to carry out the
percentage of the explanatory variables on the explained
variable in other to test for their causality. These
techniques of data analysis are discussed briefly as
follows:
3.2.1 UNIT ROOT TEST
The first step involves testing the order of integration of
the individual series under consideration and it is a very
important determinant of the stationarity of a time series.
A series Xt is said to be stationary if it has a constant
mean, finite variance, and the return to mean value
equilibrium when there is disequilibrium as well as zero
order of integration I(0) , which can also take the form of Xt
(0). This implies that the series Xt does not need to be
differenced as it is stationary at levels in the form in
which the data is presented. If the series is not
63
stationary, it means that it is time dependent and it has
finite variance and therefore, the series has to be
differenced first order to achieve stationary I(1). This
implies that the series is to be integrated of order one and
can be expressed as Xt I(1) .
However in general terms, if the series needs to be differenced
times in order to achieve I(0) , then the series is said to be
integrated of order ‘n’ which can be expressed as Xt I(n) . The
study made use of Augmented Dickey-Fuller (ADF) unit root
test to test the stationarity of the variables at their
levels and their first differences due to Dickey and Fuller
(1979, 1981).
Augmented Dickey-Fuller test bank on rejecting a null
hypothesis of unit root (the series are non-stationary) in
favor of the alternative hypothesis of stationarity. The
tests are conducted with and without a deterministic trend
(t) for each of the series. The general form of ADF test is
estimated by the following regression:
64
Δyt=α0+α1yt−1+∑n=1
nαΔyi+μt
Where:
Y is a time series, tis a linear time trend, Δ is the first
difference operator, α0 is a constant, n is the optimum
number of lags in the dependent variable and μ is the
random error term.
Δyt=α0+αyt−1+μt
3.2.2 COINTEGRATION TEST
The second step is the testing of the presence or otherwise
of cointegration between the series of the same order of
integration through forming a cointegration equation. The
basic idea behind cointegration is that if, in the long-run,
two or more series move closely together, even though the
series themselves are trended, the difference between them
is constant. It is possible to regard these series as
defining a long-run equilibrium relationship, as the
difference between them is stationary (Hall and Henry,
1989).
65
A lack of cointegration suggests that such variables have no
long-run relationship: in principal they can wander
subjectively far away from each other (Dickey et. al.,
1991). The original co-integration regression can be
specified as follows:
GDPGRt=α0+α1UNEMPt+α2INFLt+α3FDIt+et ……………………3.3
To incorporate the possibility of bi-directional causality,
the reverse specification of equation (3.1) is considered.
That is:Δet=λet+wt ……………………………………………………………..3.4
In order to provide a more definite answer to the non-
stationary in each time series, the Augmented Dickey-Fuller
(ADF) regression is estimated as shown in equation (3.2) for
a unit test root.
Thus, if λ equals zero, et is non-stationary, as a resultGDPGRt and UNEMPt , INFLt , FDIt , are not co-integrated. Inother words, if λ is significantly different from zero,GDPGRt and UNEMPt , INFLt , FDIt are found integratedindividually. If λ=0 , it is equivalent to a=1 forGDPGRt=α0Gt−1+et a unit root test.
66
The null hypothesis of no co-integration is accepted if the
estimated Augmented Dickey-Fuller (ADF) test statistics is
less negative than the critical values at 1% and 5% levels
and 5% levels and vice versa.
After showing the unit root test, co-integration test was
carried out among the variables. The presences of linear
combination on non-stationary variables that are made
stationary create necessary condition for co-integration
test. The co-integration presence therefore implies that a
stationary long run relationship existed among the series.
Hence, to really assess if the long run relationship exists
among the selected variables in this study, the analysis of
multivariate co-integrated system developed and expanded by
F-statistic 16.38666 Durbin-Watson stat 2.249038Prob(F-statistic) 0.000351
JOHANSEN COINTEGRATION TEST
Date: 06/05/14 Time: 11:42Sample (adjusted): 1982 2011Included observations: 30 after adjustmentsTrend assumption: Linear deterministic trendSeries: GDPG UN INF FDILags interval (in first differences): 1 to 1
Unrestricted Cointegration Rank Test (Trace)
Hypothesized Trace 0.05
No. of CE(s) Eigenvalue StatisticCriticalValue Prob.**
At most 2 0.231394 7.929615 15.49471 0.4730At most 3 0.001143 0.034306 3.841466 0.8530
Trace test indicates 1 cointegrating eqn(s) at the 0.05 level * denotes rejection of the hypothesis at the 0.05 level **MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegration Rank Test (Maximum Eigenvalue)
Hypothesized Max-Eigen 0.05
No. of CE(s) Eigenvalue StatisticCriticalValue Prob.**
None * 0.646866 31.22719 27.58434 0.0162At most 1 0.483546 19.82309 21.13162 0.0754At most 2 0.231394 7.895309 14.26460 0.3894At most 3 0.001143 0.034306 3.841466 0.8530
Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05level * denotes rejection of the hypothesis at the 0.05 level **MacKinnon-Haug-Michelis (1999) p-values
Unrestricted Cointegrating Coefficients (normalized by b'*S11*b=I):
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