Journal of Emerging Issues in Economics, Finance and...
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Journal of Emerging Issues in Economics, Finance and Banking (JEIEFB) An Online International Monthly Journal (ISSN: 2306 367X)
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An Assessment of Exchange Rate Volatility and Inflation in Nigeria
BOBAI, Francis Danjuma,
Economics Department,
Ahmadu Bello University Zaria, Nigeria.
E-mail: [email protected]
UBANGIDA, Shuaibu Economics- Department,
Federal College of Education, Zaria- Nigeria.
E-mail: [email protected]
UMAR, Yunusa Sa’id Economics- Department,
Federal College of Education, Zaria- Nigeria.
E-mail: [email protected]
________________________________________________________________________
Abstract
This study examines the impact of exchange rate volatility on inflation in Nigeria economy.
Annual time series data from 1986 to 2010 were employed for this study. The methodology
employed in this study includes; VECM model (Vector Error Correction Mechanism), impulse
response function, variance decomposition and ARCH and GARCH where the major tools of
analysis. A stationary test was carried out using the Augmented Dickey-Fuller (ADF) and Phillip
Perron (PP) test the variables were found to be stationary at first difference order at 5% level of
significance. The VECM result indicated a negative shock between exchange rate and inflation
that is a one percent increase in inflation rate leads to about 42 percent decrease in exchange rate.
The major findings from the ARCH and GARCH results show the presence of volatility and the
volatility is persistent. Therefore, the government should direct it expenditure to the key
productive sectors of the economy such as agriculture and manufacturing this will go a long way
in increasing the production of goods and services thereby stabilizing the prices and consequently
exchange rate.
______________________________________________________________________ Keywords: Keywords: Exchange rate, inflation, Cointegration, Vector error correction, Mechanism ARCH and GARCH
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1. Introduction
Exchange rate is an important macroeconomic policy instrument. Changes in exchange rates
have powerful effects on tradable and non-tradable of countries concerned through effects of
relative prices of goods and services. The importance of exchange rates in influencing inflation
rates cannot be overemphasized and this makes policy makers worry about the behavior of both
nominal and real exchange rates and also have active interest in their determination. (Obadan,
2007), states that the choice of an exchange rate regime coupled with the right level of the
exchange rate tends to be perhaps the most critical decision in an open economy because of the
impact of the exchange rate on economic performance, resource allocation, the wealth of citizens,
standard of living, income distribution, the balance of payment and other economic aggregates.
In line with the above, the important factors in the choice of an exchange rate regime
include: a country’s stage of development, structure of production (export reliance on primary
commodity production and exports in relation to manufactured goods), state of development of
the financial markets, openness of the economy, dependence on the external sector for essential
imports and so on. The more open the economy, the greater the importance of the exchange rate
in the policy process and the more important this variable becomes as an optional policy conduit.
For instance, it is expected that when exchange rate depreciates, inflation rate increases and vice
versa. The choice of exchange rate policy also determines the ability of a developing country to
take full advantage of international trade system.
Devaluation of currency ought to discourage imports and ostentatious consumption and also
encourage export but the experience in Nigeria is opposite. In Nigeria, devaluation of Naira has
resulted into increase in capital flight instead of inflow of foreign investment. It is well known
that Nigeria’s main exports remain crude oil which accounts for over 90% of its total exports.
Increased imports have been the experience of Nigeria throughout the post SAP period. Over the
years, there is always an excess demand for foreign exchange placing permanent pressure on the
value of Naira and encouraging transaction to speculate against the Naira resulting in serious
increase in capital flight. Sunusi (2007) shows that a stable exchange rate is crucial for
maintaining price stability and attracting foreign investment in Nigeria. Nigeria is an import
dependent country, importing most of its domestic fuel needs, foods and other items due to
neglect of agricultural and manufacturing sectors of the economy. Surely, this must have an effect
on the prices of goods and services in the country because our balance of payment will continue
to be unfavorable.
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Thus, the stability of exchange rate is important for price stabilization. In order to sustain
price stability, most central banks intervene in the foreign exchange market to smoothen short run
fluctuations of the exchange rate. However, the effects of the central bank intervention in the
foreign exchange market are not straightforward though the efficiency and depth of the foreign
exchange market coupled with the nature and credibility of the interventions matter most
(Adebayo, 2009).
Exchange rate being one of the main macroeconomic indicators, its changes affects exports
and imports through changes in their relative prices. (Dornbush, 1976), indicate that the exchange
rate is identified with the relative prices of goods and thus is a determinant of the allocation of
world expenditure between domestic and foreign goods. Appreciations of exchange rate cause
any trade balance deficit and it affects particularly agricultural products. Therefore the
importance of the study is to search the real exchange rate volatility and monetary policy on
exportation. The liquidity of foreign exchange market is vital for managing exchange rate in a
way that is consistent with inflation targeting framework to ensure exchange rate stability.
Presently, the Central Bank has as its target to achieve a single digit inflation through liquidity
tightening (raising the cash reserve requirement and liquidity ratio for banks) in order to reduce
lenders’ ability to create more money. In terms of the relationship between exchange rates and
inflation, the most frequently explored issues are how inflation rates react to changes in exchange
rates. Other questions that are crucial to this study are: Is the exchange rate fluctuations a major
cause of inflation in Nigeria? From the experience of Nigeria, what kind of relationship (the short
and long run) is between exchange rates and inflation over the post SAP period? What effects do
the prices of our exports have on the value of exchange rates?
These issues will be addressed in this paper and the paper is structured as follows: section
one is the introduction comprising the problems/ research questions the paper aims at
investigating, Section 2 provides the literature review and the theoretical background and briefly
discusses the stylized facts on exchange rates and inflation in Nigeria, Section 3 the methodology
highlighting the econometric models (vector autoregressive approach and ARCH and GARCH
models). The empirical analysis is conducted in Section 4 while section five contains the
summary, conclusions and recommendation.
2. Literature Review and Theoretical Framework
Fitzpatrick et al., (1976), however maintained that though an increase in money supply is a
necessary condition for the rise in the overall level of prices, it is not a sufficient condition. Some
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other notable studies that have applied alternative inflationary models that include the exchange
rate as a determinant of inflation other than VAR methodology are: (Chhibber and Shafi, 1990);
(Egwaikhide, Chete and Falokun, 1994); (Gross and Schmitt, 2000), and (Omotor, 2005a) among
others.
Undoubtedly, the search for a realistic exchange rate in a depressed economy like Nigeria at
that time through currency devaluation was bound to generate inflationary pressures as most of
the imported goods had no close domestic substitute. Soludo (1993:54) in reference to Singh
(1986:87) emphatically stated that even the Chicago and Cambridge Schools of Economics,
though differ over their views on the functioning of economic systems, they however agreed that
deliberate adjustments of exchange rate is not a suitable method of structural change since such
generate inflation.
However, exchange rate adjustment and the inflation nexus have been discussed in some
studies (see, Weir, 1986; Shapiro, 1988; Edwards, 1989; Agenor, 1991; Rogers and Warg, 1995;
Kamin and Rogers, 1997; Kamin and Klau, 1998; Zhang, 2000; Odusola and Akinlo, 2001;
Phylaktis and Girardin, 2001; Kara and Nelson, 2002 and Lu and Zhang, 2003). At the core of
this discussion is the determination of the inflationary costs of devaluation. It is thus critical to
assess the extent to which exchange rate adjustment and reforms would have affected Nigeria’s
domestic prices.
Focusing on Uganda, (Elbadawi's, 1990) research revealed that rapid monetary expansion
and the precipitous depreciation of the parallel exchange rate were the principal determinants of
inflation during 1988-89. He concluded from the comprehensive review of exchange rate and
price movements that devaluation of the official exchange rate is not inflationary. Obviously, this
conclusion is consistent with the findings of (Chhibber and Shafik, 1990a) and (Sowa and
Kwakye, 1991) with respect to Ghana.
While Chhibber, (1991) posits that there is no one and-only-one relationship between
exchange rate and price inflation. Basing his argument on empirical studies of some African
countries, one of his main conclusions is that devaluation could exert upward pressure on the
general price level through its increased cost of production in the short-run. For Chhibber, the
extent to which devaluation of a local currency engenders inflation is largely a function of the
impact of such policy measures on the revenues and expenditures (budget) of government,
together with the monetary policy that is simultaneously pursued.
Most of the causality studies on developing countries’ inflation focus on Latin America
rather than inflationary episodes in sub-Saharan Africa. However, (Canetti and Greene,1991),
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using vector autoregression analysis to separate the influence of money supply growth from
exchange rate changes on prevailing and predicted rates of inflation in Africa, find that both
exchange rate movements and monetary expansion affect consumer price changes in a number of
sub-Saharan African countries. In particular, the authors find a significant causal impact of
exchange rates on prices in Sierra Leone, Tanzania, and the Congo (then Zaire).
The effect of the exchange rate in the inflationary process can be exacerbated under
conditions in which the money supply reacts passively to any inflationary pressures. In this case,
exchange rate depreciation can play a key role in sustaining the inflationary spiral regardless of
whether the process is initiated by internal rather than external factors (Burdekin and Burketi
1996).
In some other studies, the relationship between exchange rates and inflation has been
investigated along the synthesis of monetarist and structuralist theories. The monetarists regard
inflation as a purely monetary phenomenon, caused and sustained by expansionary money supply.
The structuralists on the other hand argue that structural rigidities such as food prices and wage or
exchange rate changes in developing economies create structural vulnerability (Barungi, 1997).
As regards the inflation and exchange rate dynamics literature, (Agenor and Montiel, 1999)
observe that under purchasing power parity (PPP), the domestic price level appears to be
determined by the exchange rate. Thus, inflation stabilization would seemingly require that the
rate of depreciation be slowed to that of the exchange rate-thereby assigning it the task of
ensuring price stability and external balance be achieved through restrictive aggregate demand
policies.
Kara et al., (2002), in their study of the UK found that neither of the above extremes had
justification in empiricism. Rather, in line with (Campa and Goldberg, 2002) analysis of the UK,
the data reported a close and high correspondence between exchange rate changes and rates of
change in prices of products labeled as imported consumer goods. (Kara and Nelson, 2002)
observed that whereas, there is low correlation between domestic price (inflation) and nominal
exchange rate changes, the correlation between ‘import price inflation’ and nominal exchange
rate changes is however high.
Apkan (2009) was able to the dynamic relationship between oil price shocks and major
macroeconomic variables in Nigeria by applying a VAR approach. The study pointed out the
asymmetric effects of oil price shocks; it was found from their study that a strong positive
relationship between positive oil price changes and real government expenditures. Unexpectedly,
the result identified a marginal impact of oil price fluctuations on industrial output growth.
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Furthermore, the “Dutch Disease” syndrome is observed through significant real effective
exchange rate appreciation.
Abwaku et al., (2010) examined the effects of oil price volatility, demand for foreign
exchange, and external reserves on exchange rate volatility in Nigeria using monthly data for the
period 1999:1 to 2009:12. The results showed that a 1.0 per cent permanent increase in oil price
at the international market increases exchange rate volatility by 0.54 per cent in the long-run,
while in the short-run by 0.02 per cent. Also a permanent 1.0 per cent increase in demand for
foreign exchange increases exchange rate volatility by 14.8 per cent in the long-run. Therefore,
recommends that demand for foreign exchange should be closely monitored and exchange rate
should move in tandem with the volatility in crude oil prices bearing in mind that Nigeria remains
an oil-dependent economy.
2.1 Macro Economic Variables
The exchange rate is a key macroeconomic variable in the context of general economic
policy making, and of economic reform programmes. Exchange rate plays a role in connecting
the price systems in different countries, thus enabling traders to compare prices directly. This
paper evaluates the trends exhibited by exchange rate in Nigeria in relation to other
macroeconomic variables considered in this paper.
With the introduction of market based exchange rate system in 1986, the naira exchange rate
has exhibited the features of continuous instability, for most of the period, reflecting
unidirectional depreciation in the official, bureau de change and parallel market for foreign
exchange. (Ibanda, 2006)
Figure 1: Exchange Rate trend in Nigeria
020406080
100120140160180
1980 1990 2000 2010 2020
Exch
ange
rat
e
years
chart showing the trend of exchange rate in Nigeria (1986-
2010)
exchange rate
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Source: The Authors
The graph above (figure 1) shows the exchange rate trend in Nigeria from 1986 to 2010. The
graph indicated an upward movement in exchange rates from 1986 to 1993 after which the
exchange rates became stable up to 1998. In 1998, there was a sharp rise in exchange rate from
approximately 22 Naira per Dollar to 92 Naira per Dollar and continued to rise steadily up to
2004 and started decreasing from 2005. This downward trend continued for three years where in
2007 the exchange rate of Naira was 118 per one Dollar. From 2008 to 2010 exchange rates rose
from 147 to 154 Naira (approximately) respectively per one Dollar. Thus, generally, exchange
rates in Nigeria show an upward trend throughout the post SAP period with the exception of
2005, 2006 and 2007 when the country experienced decrease in exchange rates.
Figure 2: Inflation and Exchange Rate in Nigeria
Source: The Authors
The above bar chart (figure 2) shows that exchange rates were stable from 1994 to 1998 but
inflation rose and fell within the same period. For instance, inflation rose in 1995 and declined
sharply in 1996 and 1997. Thus, while there was stability in exchange rates during this period,
inflation rates were volatile exhibiting upward and downward trends.
0
10
20
30
40
50
60
70
80
1994 1995 1996 1997 1998
Chart showing exchange and inflation rate in Nigeria (1994-
1998)
exchange rate
inflation rate
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Figure 3: Exchange Rate and Inflation Rate in Nigeria 1998 - 2004
Source: The Authors
Taking the cross section of exchange rates and inflation from 1998 to 2004, the graph above
shows persistent increases in exchange rates for the whole period while, inflation appeared to
fluctuate within the period. In 1999 inflation declined relative to 1998 and in 2000 there was a
slight increase in inflation; inflation rose significantly in 2001, dropped in 2002, rose again in
2003 and then declined in 2004.
Figure 4: Inflation and Exchange Rate in Nigeria 2004 - 2010
Source: The Authors
0
20
40
60
80
100
120
140
1998 1999 2000 2001 2002 2003 2004
Chart showing exchange and inflation rate in Nigeria (1998-
2004)
exchange rate
inflation rate
0
20
40
60
80
100
120
140
160
2004 2005 2006 2007 2008 2009 2010
Chart showing exchange and inflation rate in Nigeria (2004-2010)
exchange rate
inflation rate
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The bar chart above shows a cross section of exchange rates and inflation in Nigeria from
2004 to 2010. It can be seen from the bar chart that while exchange rate decreased from 2004 to
2005 there was a slight increase in inflation from 2004 to 2005. However, exchange rates and
inflation moved in the same direction from 2005 to 2008 as shown above, exchange rates and
inflation declined from 2005 to 2007. In 2008, there was an increase in exchange rates and same
was experienced with regards to inflation. Nevertheless, rise in exchange rates in 2009 did not
lead to rise in inflation rather there was a decline in inflation compared to 2008. Similarly, there
was a rise in exchange rates in 2010 but inflation declined in the same period. From the above bar
charts, it will be very difficult to establish a particular type of relationship between inflation and
exchange rates in Nigeria. Although, both seem to be volatile, inflation seems to be more volatile
than exchange rate.
Figure 5: Inflation and Interest Rates in Nigeria 2004 to 2010
Source: The Authors
Looking at inflation and exchange rates from the graph above, there was a decline in interest
rate between 2004 and 2005 but inflation showed an increase from 10% to almost 12 in the same
period. However, from 2005 to 2007 inflation and interest rates moved in the same direction.
Between 2007 and 2008 Nigeria experienced sharp increase in inflation with slight increase in
interest rates compared to that of inflation. Again, between 2008 and 2009, inflation declined but
interest rates rose significantly. Generally, one can deduce that inflation and interest rates in
Nigeria between 2004 and 2010 have no specific (positive/direct or negative/indirect)
relationship.
0
10
20
30
40
50
60
70
80
90
100
2004 2005 2006 2007 2008 2009 2010
Chart showing inflation and exchange rate in
Nigeria (2004-2010)
inflation rate
interest rate
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Figure 6: Inflation and Money Supply in Nigeria 2004 - 2010
Source: The Authors
Quantity of money supplied is one of the variables that affect inflation. From 2004 to 2005
there was a significant increase in money supply (M2) with slight increase inflation this trend
continued for money supply (M2) up to 2006 but for inflation it declined from 2005 to 2006 and
continued declining until 2007 when it began to rise and stood at 15.1 in 2008. For money supply
(M2), the graph shows that there was a decline in2007 and slight increase in 2008. In 2009 and
2010, inflation and money supply moved in a uniform direction both showing decline. Thus,
based on this, a direct relation relationship exists between inflation and broad money supply (M2)
in Nigeria.
3. Research Methodology
3.1 Types and Sources of Data
Annual data on exchange rate (Ex), inflation rate (Inf), interest rate (Int), broad money
supply, (Ms), and gross domestic product (GDP) were used for this research work. Data for the
variables are mainly secondary source from the central bank of Nigeria.
3.2 Model Specification
3.2.1 Vector Autoregressive Model
The theoretical link between exchange rate and inflation is quite complex as the literature
reviewed in the previous section. They are both potentially endogenous. This makes the use of
VAR modelling more appropriate. VAR can also be used to analyze the dynamic nature of the
0
20
40
60
80
100
2004 2005 2006 2007 2008 2009 2010
Chart showing inflation rate and money supply
in Nigeria (2004-2010)
inflation rate
money supply
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inter-relationship between exchange rate and inflation which the static OLS modelling will not
allow. The VAR model assumes that the economy can be described by the following:
The VAR model with expected signs is specified as follows:
inft = Ex, int, ms, gdp, ••• ••• ••• ••• ••• ••• 1
(+) (+) (+) (-)
Where Inf t = Inflation Rate at time t
Ex t = Exchange Rate at time t
Intt = Interest rate at time t
Ms t = Broad money supply at time t Gdpt = Gross domestic product at time t
The structural form is:
inft = o + 1Ext-i + 2int t-i + 3ms t-i + 4gdp t-i + Uti ••• ••• ••• 2
3.2.2 Arch and Garch Models
Like most other financial data, exchange rate and inflation in Nigeria are known to be
volatile. It may not be appropriate to model it with ordinary least square; OLS which is the
commonest modeling technique because the basic assumptions concerning the means and
variance of stochastic term. (The white noise assumption) for which the estimates of this
technique will be accepted as robust may not hold. Besides, this problem may also make one to
cast doubt on the inferential procedure because it may cause incorrect rejection of the null
hypothesis i.e. type 1 error. As a result of this, this study consider two different but unique
models that take into consideration the volatile nature of financial data like exchange rate and
inflation into consideration. The models are ARCH AND GARCH.
The GARCH is respectively made up of the mean equation (3) and conditional variance
equation (4) below. Except the inclusion of last period’s forecast variance (λδ2t-1), the GARCH
model is the same as the ARCH. The mean equation of the inflation rate model and conditional
variance of inflation rate are therefore specified as follows:
Inft = α0 + α1Ext-1 + µt ••• ••• ••• ••• ••• ••• ••• 3
δ2
t = β1 + β2µ2t-1 + λ1δ
2t-1 ••• ••• ••• ••• ••• ••• ••• 4
Where inft and Ext-1 are the current inflation rate and previous session of exchange rate. α1 is
the coefficient of exchange rate while µt is the stochastic term of the model. In the conditional
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variance equation, the news about volatility from previous period is denoted by µ2
t-1 and its
coefficient is β2.
The mean equation of the exchange rate model and the conditional variance of the exchange
rate are therefore specified as follows:
Ext = π0 + π1inft-1 + µ1 ••• ••• ••• ••• ••• ••• ••• 5
δ2
t = β1 + β2µ2t-1 + λ1δ
2t-1 ••• ••• ••• ••• ••• ••• ••• 6
The expected signs are α1 <0 and π1>o
4. Empirical Results and Discussions
4.1 The Estimation of Vector Autoregressive Model
4.1.1 Unit Root Test
A necessary but not sufficient condition for cointegration and VECM is that all series should
share the same integrational properties in a univariate sense. Prior to testing for cointegration, we
investigated the integrational properties of each of the variables by applying unit-root testing
procedure. This study makes use of Philips-Perron (PP) tests. The result shows that all variables
are not stationary in levels. After first difference, the PP test of unit root indicates that all
variables employed are stationary at one percent level and their use would not lead to spurious
regression. Therefore, all the series are stationary or integrated of the same order one, that is, I(1)
as expected.
Table (A): Results of Unit Root Tests: Using Philip-Perron (PP) Tests
Critical value: 1%=-4.4167, 5%=-3.6219, 10%=-3.2474 * 1% significance level
**5% significance level
***10% significance level (GDP and INT were logged)
Source: Author’s Estimation using E-views 4.0.
Variable Level, 1st difference With drift & trend Conclusion
INF Level First diff
-2.699044 -4.308325**
I(1)
EX
Level First diff
-2.187464 -.4.668140*
I(1)
INT Level First diff
-3.135162 -5.681758*
I(1)
M2 Level First diff
-2.166620 -4.750200*
I(1)
GDP Level First diff
-2.166820 -3.251937***
I(1)
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4.1.2 Cointegration Test
Having established that the variables are integrated of the same order, we proceed to testing
for cointegration. The Johansen-Juselius maximum likelihood procedure was applied in
determining the cointegrating rank of the system and the number of common stochastic trends
driving the entire system. We reported the trace and maximum eigen-value statistics and its
critical values at both one per cent (1%) and five per cent (5%) in the table below. The result of
multivariate cointegration test based on Johansen and Juselius cointegration technique reveal that
there are three cointegrating equations at 5% and two cointegration equation at 1% level of
significant as indicated by the trace statistic while the max-eigien statistic only indicated three
cointegrating equation at 5% significant level. These results suggest that the appropriate model to
use is the VECM specification with more than one cointegrating vector in the model.
Table B: Unrestricted Cointegration Rank Test Trace Statistic and Max- Eigen Statistic
Hypothesized
No. of CE(s) Eigenvalue Trace
Statistic Max-Eigen
Statistic 5 Percent
Critical Value 1 Percent
Critical Value None** (*) 0.791824 98.29300 36.09554 68.52(33.46) 76.07(38.77) At most1**(*) 0.730775 62.19746 30.18079 47.21(27.07) 54.46(32.24) At most 2*(*) 0.612107 32.01666 21.78157 29.68(20.07) 35.65(25.52) At most 3 0.354929 10.23510 10.08307 15.41(14.07) 20.04(18.63) At most 4 0.006588 0.152026 0.152026 3.76 (3.76) 6.65(6.65)
*(**) denotes rejection of the hypothesis at the 5%(1%) level,Trace test indicates 3 cointegrating
equation(s) at the 5% level. Trace test indicates 2 cointegrating equation(s) at the 1% level.
Max-eigenvalue test indicates 3 cointegrating equation(s) at the 5% level
The parenthesis ( ) represent the max-eigen values
Source: Author’s Estimation using E-views 4.0.
4.1.3 Vector Error Correction Model
We proceed to estimate the VECM that is designed for use with non-stationary series that
are known to be cointegrated. The VECM has cointegration relations built into the specification
so that it restricts the long run behaviour of the endogenous variables to converge to their
cointegrating relationship while allowing for short-run adjustment dynamics. The cointegration
term is known as the error correction term (ECT) since the deviation from long-run equilibrium
is corrected gradually through a series of partial short-run adjustments. The results are presented
in the table (C) below. It shows that only some macroeconomic variables are crucial in
influencing the performance of the inflation rate as only few of the test statistics are significant.
The results were evaluated using the conventional diagnostic tests. The estimated VECM satisfy
the stability condition, that is, the vector error correction term in each of the models should have
the required negative sign and lie within the accepted region of less than unity.
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Table C: Vector Error Correction Model Result
Error Correction: D(INF) D(EX) D(INT) D(M2) D(LOG(GDP
)) CointEq1 -0.683173 -0.147675 0.053005 0.062699 -0.000328
[-5.66075] [-0.61651] [ 0.86646] [ 0.23141] [-0.62153]
D(INF(-1)) 0.190928 0.058378 0.068880 -0.013992 0.000405
[ 1.45396] [ 0.22399] [ 1.03482] [-0.04746] [ 0.70558]
D(EX(-1)) -0.425316 -0.148701 0.017867 0.383242 0.000331
[-2.87991] [-0.50731] [ 0.23868] [ 1.15589] [ 0.51372]
D(INT(-1)) -2.942840 -0.226006 -0.170923 1.087247 0.001877
[-5.39242] [-0.20866] [-0.61788] [ 0.88740] [ 0.78722]
D(M2(-1)) 0.120849 -0.094345 0.011810 -0.082693 -0.000212
[ 1.01582] [-0.39956] [ 0.19585] [-0.30961] [-0.40767]
D(LOG(GDP(-
1))) -277.0014 -61.98458 -15.04484 68.33057 0.388603
[-4.60865] [-0.51960] [-0.49382] [ 0.50639] [ 1.48003]
C 11.56178 9.667702 0.576702 -2.704415 0.021353
[ 3.72360] [ 1.56875] [ 0.36642] [-0.38796] [ 1.57424]
R-squared 0.760774 0.042971 0.268235 0.152407 0.302742 Adj. R-squared 0.671065 -0.315915 -0.006177 -0.165440 0.041270 F-statistic 8.480416 0.119735 0.977491 0.479499 1.157839
Source: Author’s Estimation using E-views 4.0.
The error correction term in column two has the expected negative sign and is statistically
significant and it shows a low speed adjustment towards equilibrium. The results of the
estimation show that the explanatory variables account for about 76 percent variation in inflation
rate in Nigeria. The estimation also shows a negative relationship between inflation rate and
exchange rate in Nigeria and statistically significant (being our variables of interest). For instance
a one (1) percent increase in inflation rate ratio reduces exchange rate by about 0.42 percent. This
is consistent with the works of Burdekin and Burketi (1996), Elbadawi (1990) and Kara and
Nelson (2002), who discovered that increase in inflation leads to a decrease in exchange rate. The
negative relations between inflation and interest rate shows that interest rate have significant
relation with inflation in Nigeria. A 1 percent increase in inflation leads to approximately 2.9
percent decrease in interest rate and the estimation revealed that interest rate is statistically
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significant. Moreover, a 1 percent increase in inflation rate in the previous year increases money
supply (M2) by approximately 0.12 percent though it is not statistically significant. Finally, it
shows that the log value of GDP is negative but has a significant influence on current inflation.
This is also indicating that a 1 percent increase in inflation rate in the previous year’s leads to a
decrease in the GDP by about 277 percent.
4.1.4 Impulse Response Analysis
Having estimated the VECM, the analysis proceeds to use those properties in analyzing the
short run dynamic properties of the economy using impulse response function. An impulse
response function (IRF) using the accumulated response to cholesky one S.D. innovations
measures the time profile of the effect of a shock on the behavior of time series. It is used to
investigate the time profile of the effect of a shock hitting the individual variables in the core
model at any time. Thus, for every VEC model we are able to compute the accumulated impulse
response functions for short-term exchange rate (EX), interest rate (INT), money supply (M2) and
output (GDP) that follow from a shock to inflation indicator. The analysis of accumulated
impulse responses of economic variables under consideration to inflation shock are presented
below.
Source: Author’s Estimation using E-views 4.0.
From the above diagram shock in inflation shows no relationship exist from the 1st via the
2nd
period however, from the 2nd
to the 10th period indicated that a positive response existed
throughout the period from inflation to exchange rate within the period of study. The accumulated
response of inflation to interest is similar with that of inflation to exchange rate. The accumulated
response of inflation to money supply from the first to the last quarter shows a positive effect
-100
-50
0
50
100
1 2 3 4 5 6 7 8 9 10
Accumulated Response of INF to EX
-100
-50
0
50
100
1 2 3 4 5 6 7 8 9 10
Accumulated Response of INF to INT
-100
-50
0
50
100
1 2 3 4 5 6 7 8 9 10
Accumulated Response of INF to M2
-100
-50
0
50
100
1 2 3 4 5 6 7 8 9 10
Accumulated Response of INF to LOG(GDP)
Accumulated Response to Cholesky One S.D. Innovations
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throughout the horizon. However, the accumulated response of inflation to log (GDP) is negative
throughout the period. This indicated that the shock of inflation on GDP is negative both in the
short run and in the long run.
4.1.5 Variance Decomposition of Inflation
We now proceed to examine the relative strength of various processes through which
inflation impulses are transmitted to exchange rate. This is accomplished by carrying out a
decomposition of INF, EX, INT, M2 and GDP with a view to determining the size of the
fluctuation in a given variable that are caused by different shocks. The results are reported in the
table below, indicating the percentages of variance of the variable forecast as attributed to each
variable at a 10 quarter horizon. The first column list the periods, whereas the second column
refers to standards error (SE), which is the forecast error of the variable at different periods. The
third column refers to INF, the fourth EX, the fifth INT, the six M2 and the last GDP.
Table D: Variance Decomposition of Inflation
Period S.E. INF EX INT M2 LOG(GDP)
1 9.076819 100.0000 0.000000 0.000000 0.000000 0.000000 2 17.58423 58.06438 0.198957 0.124877 3.034296 38.57749 3 24.68259 40.29454 8.591895 8.463545 3.949481 38.70054 4 30.00269 36.58181 13.57599 12.29381 3.493765 34.05463 5 34.36845 35.97543 14.33206 12.16826 3.336181 34.18807 6 38.52859 34.48006 15.02361 12.51768 3.354020 34.62463 7 42.28941 33.43616 15.91688 13.16056 3.310044 34.17635 8 45.66252 32.97933 16.38931 13.38936 3.263681 33.97833 9 48.82666 32.57145 16.67415 13.51285 3.247429 33.99412 10 51.81528 32.19500 16.95926 13.68317 3.234009 33.92855 Source: Author’s Estimation using E-views 4.0.
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Source: Author’s Estimation using Eviews 4.0.
Variance decomposition of INF has shown that in the first period none of the other variables
EX, INT, M2 and log (GDP) could explain any variability on INF; while the other variables like
EX, INT and M2 were gradually increasing inflation and log (GDP) were declining. However, in
the fifth quarter shocks in log (GDP), EX, INT, and M2 explain about 34 percent, 14 percent, 12
percent and 3 percent respectively on INF. while in the 10th period even though shocks log (GDP)
explain about 33.9 percent being the highest but is still declining about 17 percent, 14 percent and
3 percent shocks in EX, INT and M2 were explained by variability in INF.
4.2 The Estimation of Arch and Garch Models
The ARCH and GARCH models were used in testing the volatility of the exchange rate in
Nigeria from 1986 to 2010 and the results of the estimation indicate that the effect of exchange
rate during the previous period have significant effects on inflation rate in Nigeria at 5% level of
significance. The coefficient of exchange rate of the mean equation of the inflation function is -
0.099. Not as expected, the exchange rate is negatively related to inflation rate as presented
below:
inft = 26.99865 - 0.099Ext ••• ••• ••• ••• ••• ••• ••• 7
0
20
40
60
80
100
1 2 3 4 5 6 7 8 9 10
Percent INF variance due to EX
0
20
40
60
80
100
1 2 3 4 5 6 7 8 9 10
Percent INF variance due to INT
0
20
40
60
80
100
1 2 3 4 5 6 7 8 9 10
Percent INF variance due to M2
0
20
40
60
80
100
1 2 3 4 5 6 7 8 9 10
Percent INF variance due to LOG(GDP)
Variance Decomposition
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The result of the estimation of conditional variance equation for inflation rate shows that
inflation rate is volatile because the coefficient of the ARCH component is significant at 5%.
Also, the summation of the coefficients of the ARCH and GARCH component (0.59 and 0.46) is
about 1. We therefore say the volatility is persistent.
The result of the estimation of the mean equation of exchange rate shows that there is
negative significant relationship between exchange rate and inflation rate in Nigeria at 5%. The
coefficient of inflation rate is -1.63. The ARCH component of the conditional variance equation
shows that there is evidence of volatility at 5% level of significance. Also the summation of the
coefficient of ARCH and GARCH components (0.72 and -0.26) gives less than 1. This indicates
that the volatility is not persistent as indicated below:
Ext = 119.0024 – 1.630inft ••• ••• ••• ••• ••• ••• 8
5. Conclusion and Recommendations
The study has attempted to assess the impact of exchange rate volatility on inflation rate in
Nigeria over the past 24 years through vector autoregressive analysis. A relatively large set of
factors that can potentially influence exchange rate volatility in Nigeria such as inflation rate,
broad money supply, interest rate and real gross domestic product are considered in the
econometric analysis. The paper also made use of ARCH and GARCH model in the test of
exchange rate volatility in Nigeria.
The results obtained from the vector error correction suggest that inflation and exchange
rates in Nigeria are negatively related which means that an increase in inflation rate leads to a
decrease in exchange rate. The result also shows that interest rate have significant relationship
with inflation in Nigeria. Moreover, inflation rate in the previous year increases money supply
(M2) by approximately 0.12 percent. Finally, the result shows that the log value of GDP is
negatively related but has a significant influence on current inflation. The results obtained from
the ARCH and GARCH model shows the evidence of volatility but the volatility is not persistent.
Finally, from the results of the empirical study, the following recommendations are proposed
to encourage and improve the exchange rate stability in Nigeria. There is the need to put in place
appropriate policies and strategies that will ensure the maintenance of a very stable inflation rate
as this has been an important factor influencing exchange rate. The government should direct it
expenditure to the key productive sectors of the economy such as agriculture and manufacturing
this will go a long way in increasing the production of goods and services thereby stabilizing the
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prices and consequently exchange rate. The issue of country’s budget should be adequately
addressed as more of the country’s budget is recurrent than capital. It is not healthy for a country
with 70% recurrent expenditure because it shows that, the country’ expenditure is more of
consumption than investment which will definitely spark up inflation rate in the country. Further
efforts should therefore be geared towards reducing prime lending rate in such a manner that it
would boost the credit facilities for the productivity in the country.
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