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Journal of Economics and Sustainable Development                                                  www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012



       An Econometric Approach to the Economic Impact of
            Petroleum Oil Price Fluctuation in Kenya
                       Kotut Cheruiyot Samwel*1 Menjo Kibiwot Isaac2, Jepkwony Joel3
            1.   School of Business and Economics, Department of Economics, Moi University, P.O Box 3900
                 Eldoret 30100 Kenya. TEL:- +254722462522 or +254722775422,
                 *Email kotutmogo@yahoo.com
            2.   P.O Box 4685 Eldoret 30100 Kenya. TEL:- +254722992841 or +254732992841
                 Email:- Menjomogo@yahoo.com
            3.   School of Business and Economics, Department of Marketing and Management Science,
                 P.o Box 3900, Eldoret, 30100 Kenya Tel +254722684214 Email: kemboi_joel@yahoo.com
Abstract
Oil prices in Kenya have been fluctuating over time hence raising the question as to its impact on the economic
performance, this paper examines the economic impact of oil prices in Kenya on an econometric perspective. In
carrying out the analysis a Vector Auto Regressive (VAR) Model was estimated, as a standard behavior with time
series Data stationarity test was carried out followed by the determination of the short run as well as the Long
run Dynamics of the model following co-integration analysis, before the estimation of the VAR model. The study
found out that oil price fluctuation has a negative significant impact on the economic performance in Kenya. We
strongly recommend that the government should adopt appropriate policy measures to manage oil price since
despite the fact that they are determined exogenously there is a lot of debate to mismanagement within the sector.
Key words:- Oil prices, Economy, Inflation, co-integration Analysis, VAR Model

1.0 Introduction
Petroleum oil consumption is generally regarded as a major determinant of economic activities in a country. The
recent fluctuation in oil prices brings concern about possible slowdowns in the economic growth of both
developed and developing economies. Since 1980’s Kenya has under taken major macro economic reforms
aimed at improving economic performance in the country. These reforms have included reforming the energy
sector so as to make it competitive, efficient as well as attracting investment in the sector.
This paper analyses the impact of oil price fluctuations on economic performance in Kenya, it expounds on the
role of oil prices on macroeconomic performance in the country adopting Vector Auto Regressive (VAR) model
During the past fifteen years the Kenyan economy has been subjected to exceptional fluctuations that have
actually hindered its performance. Unless appropriate policies are put in place so as to alleviate these macro
economic problems the countries economic prospects of Vision 2030 will just remain a dream.
The purpose of this study is to establish the economic impact of petroleum oil fluctuation on economic
performance in Kenya; this was done by analyzing the trend of oil prices as well as other macro economic
variables on the economic growth in the country. The study adopts VAR model to estimate the relationship
between dependent and independent variables.
1.1 Problem Statement
Kenya for the past twenty years or so have had serious fluctuations in economic activities which have had a lot
of set back to its economic performance, the ever raising inflation, fluctuation in international oil prices,
fluctuation in exchange rates among others have been experienced over the years. Oil prices especially to
petroleum oil importing countries like Kenya have acted as a major economic burden since pricing of this crucial
commodity is determined entirely by the oil exporting countries, in fact there is the latest hypothesis that the
Saudis control the petroleum market in the world today, since most activities are depended on the availability
and amount of petroleum consumed. The level of petroleum consumed in a country depends on several factors
which among them include its prices, the level of economic activity, inflation among others, most of this factors
have been constantly fluctuating in Kenya. To be able to draw policy measures on petroleum and the energy
sector as a whole, as well as the macro economic policies, it is necessary to establish the interrelationship
between the macroeconomic variable and petroleum oil price flutuation. This paper therefore sought to establish
this relationship in Kenya adopting VAR model.
1.2 Petroleum sector in Kenya
Petroleumoil has been and is still the most important source of commercial energy in kenya. Petroleum fuels are
imported in form of crude oil for domestic processing in changamwe(Mombasa) and also as refined products, it
is mainly used in the transport, commercial and industrial sectors. Fluctuations in international prices have
directly affected domestic prices in the country. For instance, the international price of Murban crude oil rose by



                                                        17
Journal of Economics and Sustainable Development                                                 www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012


aproximately 46% from US$ 62.05 per barrel in December 2006 to US$ 90.60 per barrel in December 2007 and
about US$140 per barrel in August 2008, before plummeting to less than US$ 50 by March 2009. Total
quantities of petroleum imports registered a growth of 16.4% to stand at 3 691.8 thousand tonnes in 2007. The
total import bill of petroleum products rose by 7.1% in 2007 compared to 8.9% in 2006. Total domestic demand
for petroleum products also rose by about 2.8% that is from3 131.5 thousand tonnes in 2006 to 3 218.3
thousand tonnes in 2007( see table 1.2). Trends in the sale or consumption of petroleum oils indicate that retail
pump outlets and road transport constitute the largest consumer of petroleum oils followed by aviation and
power generation (see table 1.1). Kerosene as a cooking and lighting fuel is equally important especially for the
rural and urban poor households and sometimes used as a substitute to wood fuel. Tax policy measures on
kerosene have far reaching implications on its consumption and household welfare. Kerosene has other
implications on air pollution, health impacts on the poor and security concerns particularly when used to
adulterate other fuels. However this does not affect its consumption in the country.
Table 1.1 Oil Sales
period Light Jet oil Fuel Motor Illuminating Heavy LPG Aviation Total
                            oil   spirits
         diseal                            kerosean        Diseal                    fuels
         oil                                             oil
2010     97.6    44.8     43.4   38.8     25.0           1.7      6.1    0.15        257
June     97.6    44.8     43.4   38.8     25.0           1.7      6.1    0.15        257
jully    109.9   47.4     38.8   41.3     21.5           2.2      4.1    0.14        264.9
Aug      97.3    54.7     39.0   40.6     20.1           2.1      6.20   0.15        260.1
sept     107.7   46.6     43.2   41.9     21.9           2.1      5.6    0.08        269.2
Oct      104.6   50.0     51.8   42.1     22.8           1.9      4.8    0.15        278.1
Nov      99.6    50.4     42.2   42.8     21.3           2.5      4.2    0.14        263.1
Dec      114.8   53.8     50.3   53.3     20.7           2.1      4.0    0.17        299.1
2011
Jan      107.1   57.2     48.1   42.4     21.3           2.3      5.4    0.19        283.8
Feb      107.4   52.4     47.4   42.4     19.0           2.7      4.1    0.17        275.5
Mar      121.4   72.4     61.6   47.9     23.6           2.5      5.8    0.05        335.2
Apr      106.1   50.8     54.0   43.7     23.9           2.1      5.3    0.13        285.9
May      107.2   51.9     61.5   46.2     20.7           2.2      5.5    0.14        295.3
Jun      106.5   46.3     47.0   44.0     20.8           1.9      5.3    0.21        272.0
Source, Ministry of Energy




                                                       18
Journal of Economics and Sustainable Development                                                 www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012


Table 1.2 murban adnoc prices 2006-2011 US$BBL
Month/Year 2006            2007    2008   2009 2010           2011
January       62.15         54.85 92.25   48.85 77.50          95.55
February      60.95         58.75 95.10 44.95 74.20           103.60
March        60.85         62.10 102.20 47.55   78.30         112.55
April         67.50         67.60 109.35 45.85  84.80         120.70
May          68.50         68.40 125.75 60.15 77.85           113.60
June        68.85          69.70 134.00 71.65 74.80           112.15
July        73.00          73.70 137.35 66.95 73.00           113.95
August       72.70         71.75 117.50 72.75   74.60
September 63.25            78.55 98.05    69.10 75.90
October     59.35          81.80 69.25 69.25 81.50
November 59.70             91.75 51.40 78.60 85.65
December 62.05             90.60   42.10 76.10 91.85
Source, Ministry of Energy

1.3 Theoretical Frame.
This study analyses the relationship between oil price fluctuation and economic performance in Kenya. The oil
consumption amount is determined by the Willingness to Pay by the consumer. The Willingness to Pay (WTP) is
an economic theory that aims to determine the amount of money that a consumer is willing to use for the energy
product; this indicates the value that the consumer attaches for the energy product. The consumers’ WTP is
becoming a popular concept and is now one of the standard approaches used by researchers and economists to
place a value on goods or services for which no market-based pricing mechanism exists {koss (2001) and Gill et
al. (2000)}.
Existing Literature have suggested that there are two approaches used to analyze the consumers’ willingness to
pay. These are;- the direct approach, which involves taking a survey through a structured questionnaire of
consumers’ WTP specified prices for hypothetical services, also referred as Contingent Valuation Method
(CVM). Next is the indirect approach that involves observing consumers’ behavior and modeling of behavior
based on the approximate expenditure in terms of time and money to obtain the goods or services and infer about
WTP through measurement of revealed preference {Kristrom and Laitila (2003), Raje et al. (2002), Cookson
(2000)}. The revealed preferences approach derives WTP values indirectly from the actual market behavior of
individuals.
 This study estimates a VAR model to determine the macroeconomic relationship between oil price consumption
and economic performance in Kenya.

1.4 Conceptual Frame
There are several factors that determine the level of economic activities in a country, this include inflationary
situations, exchange rates, monetary as well as fiscal policies among others. How ever the amount of oil
consumption plays a major role in determining the level of activities, the question therefore is to determine the
macroeconomic relationship between oil prices and economic performance. This is diagrammatically presented
as follows.




                                                       19
Journal of Economics and Sustainable Development                                                     www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012




2.0 Methodology
This study adopts the following Vector Auto Regressive model as proposed by Sims (1980)
             p −1

           ∑
 Z t = µ + Ai Z t −1 + ε T : ε t ≈ i.i.d (0, Ω) .
Where Zt is=1 (Kx1) Vector of variables, µ is a (Kx1) Vector of Intercept terms, Ai is a (KxK) matrix of
             i a
coefficients, p is the number of lags adopted, ԑt is a (KxK) of Vector error terms for t=1,2,3,…………,T. also ԑt
is independently and identically distributed i.e (i.i.d) with zero mean and a (KxK) constant Variance- Covariance
matrix { E(ԑt) = 0, E(ԑt ε t' ) = Ω }
2.1 Data Sources and Definition of Variable
This study adopted secondary data from Kenya National Bureau of statistics (KNBS) and the Central Bank of
Kenya (CBK) data base. The dependent variable is Gross Domestic Product (GDP), while the independent
variables incorporated in the model include, Murban oil prices (OP) representing import prices, Inflation (Inf)
rates and Real Exchange Rates (REER).
3.0 Findings
3.1 Unit Root Test
The Augmented Dickey Fuller (ADF) Test was adopted in this study to test for unit root. The results in table 1
shows that the Null hypothesis of no Unit root was rejected at 10%
3.2 Stability Test
While interpreting the long run VAR model it is assumed that the sample coefficients remain stable over the
study period since the inference drawn might be invalid if it so happens that the sample coefficients were indeed
not stable. The study adopted the plot of CUSUM test and CUSUM sum of squares test as propounded by Brown
et al (1975). Figure 1.1 shows that there were no statistically significant error and that the model was properly
specified, otherwise instability would have been seen by movement of residue plot outside the critical lines.
3.3 Co-integration Analysis
To estimate the existence of short run as well as the long run association between the variables, the study used
the Johansen and Juselius (JJ) multivariate cointegration technique. The results in Table 1.2 indicate that when
two lags are adopted the null Hypothesis of no cointegration is rejected at 10% significance level. This therefore
provide a precedence to conclude that there exist a long run association between the oil prices and the
independent variables included in the study, hence giving a go ahead to estimate the VAR model
3.4 Discussion of Findings
  After the establishment of the existence of a long run association we proceeded to estimate the VAR model.
These results are presented in table 1.3. The test statistics are satisfactory. The goodness-of-fit variable (R2) show
that the exogenous variables account for 76.73% of the variations economic performance in the short run. The




                                                         20
Journal of Economics and Sustainable Development                                                  www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012


DW statistic is approximately 2.0 and larger than R2, implying that the regression is not spurious1. From the
diagnostic test statistics, the null hypotheses of the absence of residual autocorrelation, normality,
misspecification and heteroscedasticity in the residual cannot be rejected. The evidence here indicates that the
macroeconomic variables (Oil performance, Real exchange rate and Inflation rate) are all having statistical
significant impact on performance of the economy. It is evident that oil prices have a negative impact on the
performance of the economy which conforms to findings in other countries that import oil. Therefore concluding
that oil prices play a major role the performance of Kenya’s economy hence calling for adequate macroeconomic
management in relation to this sector.
Table 1.4 presents the wald test of significance which indicate that the variables are significant and there is no
statistical problems of Auto correlation and multi-colliniarity hence satisfying our finding.
References
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Econometrica, 59,pp 817-858.
Bai J. and P. Perron (1998). "Estimating and Testing Linear Models with Multiple Structura Changes",
Econometrica, 66,pp 47-78.
Bai J. and P. Perron. 2003a. "Critical values of Multiple Structural Change Tests", The Econometrics Journal, 6,
pp72-78.
Bai J. and P. Perron. 2003b. "Computation and analysis of multiple structural-change models",Journal of Applied
Econometrics, 18, 1-22.
Barsky, R. B. and L. Kilian (2004). “Oil and the Macroeconomy since the 1970s”, Journal of
Economic Perspectives, 18(4), pp115–134.
Bernanke, B. S. (1983). “Irreversibility, uncertainty and cyclical investment”, Quarterly Journal
Of Economics, 98(1), pp85–106.
Blanchard, O. J. and J. Galí (2008), The macroeconomic effects of oil price shocks: why are 2000s so different
from the 1970s?. Massachusetts Institute of Technology, Department of Economics, Working Paper 07-21.
Davis, S. J., and J. Haltiwanger (2001). “Sectoral Job Creation and Destruction Responses to Oil Price
Changes”, Journal of Monetary Economics, 48, pp465–512.
Dickey, D. A. and W. A. Fuller (1981). "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit
Root", Econometrica, 49.
Gómez-Loscos, A., Gadea, M. D. and A. Montañés (2009). Economic growth, inflation and oil shocks: are the
1970s coming back?, Mimeo. 22.
Hamilton, J. D. (1996). “This Is What Happened to the Oil-Macroeconomy Relationship”,                    Journal of
Monetary Economics, 38(2), pp215–220.
Hamilton, J. D. and A. Herrera (2004). “Oil Shocks and Aggregate Macroeconomic Behavior The Role of
Monetary Policy”, Journal of Money, Credit and Banking, 36, 265–286.
Hooker, M. A. (1996). “What Happened to the Oil–Macroeconomy Relationship?”, Journal of Monetary
Economics, 38, pp195–213.
Johansen, S., Juselius, K. (1990). Maximum likelihood estimation and inferences on co- integration with
application to the demand for Money. Oxford Bulletin of Economics and Statistics, 52 (2), pp. pp169-210.
Kilian, L., A. Rebucci and N. Spatafora (2007). Oil Shocks and External Balances, IMF                      Working
Paper 07/110.
Kilian, L. (2008b). “The economic effects of energy price shocks”, Journal of Economic Literature, 46(4),
pp871-909.
Kwiatkowski, D., P.C.B. Phillips, P. Schmidt and Y. Shin (1992). “Testing the Null Hypothesis of Stationarity
against the Alternative of a Unit Root: How Sure Are We that Economic Time Series Have a Unit Root?”,
Journal of Econometrics 54,pp159- 178
Mork, K. A. (1989). “Oil and the Macroeconomy when Prices Go Up and Down: An Extension                           Of
Hamilton’s Results”, Journal of Political Economy, 91, pp740–744.
Phillips, P. C.B. and P. Perron (1988). "Testing for a unit root in time series regression", Biometrika, 75, pp335-
346.
Qu, Z. and P. Perron (2007). "Estimating and Testing Structural Changes in Multivarite Regressions",

1
    According to Granger and Neshold, an R2 > d (dw) is a good rule of thumb to suspect that the estimated
regression is spurious. The estimated regression in this study reveal a non spurious regression as      R2
(0.7673)< d ( 2.0039)



                                                        21
Journal of Economics and Sustainable Development                                            www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012


Econometrica, Econometric Society, 75(2), pp459-502.
Shapiro, M. D. and M. W. Watson (1988). “Sources of Business Cycle Fluctuations”, in Fischer, S. (ed.), NBER
Macroeconomics Annual 1988, MIT Press.

Appendix
Table 1.1 Unit root tests for residuals
*******************************************************************************
 Based on VAR regression of GDP on:
 GDP(-1)       GDP(-2)         GDP(-3)       GDP(-4)      OP
 INFL         REER           C
 56 observations used for estimation from 2007M5 to 2011M12
*******************************************************************************
         Test Statistic    LL        AIC       SBC        HQC
 DF        -6.9848      -56.9798     -57.9798   -58.8604    -58.3046
ADF(1) -4.8313          -56.9788     -58.9788   -60.7400    -59.6282
ADF(2) -3.8650          -56.9777     -59.9777   -62.6195    -60.9519
ADF(3) -3.6417          -56.7182     -60.7182   -64.2406    -62.0171
ADF(4) -3.1092          -56.7180     -61.7180   -66.1210    -63.3417
ADF(5) -2.7381          -56.7180     -62.7180   -68.0016    -64.6664
ADF(6) -2.4547          -56.7179     -63.7179   -69.8821    -65.9911
ADF(7) -3.2548          -53.7870     -61.7870   -68.8318    -64.3849
ADF(8) -2.8183          -53.7869     -62.7869   -70.7123    -65.7096
ADF(9) -2.5393          -53.7807     -63.7807   -72.5867    -67.0281
ADF(10) -2.3526          -53.7613     -64.7613   -74.4479    -68.3334
ADF(11) -1.9384          -53.5514     -65.5514   -76.1186    -69.4482
ADF(12) -1.7980          -53.5507     -66.5507   -77.9985    -70.7723
*******************************************************************************

Table 1.2 Co-integration with no Intercepts or Trends in the VAR
  Co-integration LR Test Based on Maximal Eigenvalue of the Stochastic Matrix
*******************************************************************************
 56 observations from 2007M5 to 2011M12. Order of VAR = 1.
 List of variables included in the co-integrating vector: GDP
 List of I(0) variables included in the VAR: OP           INFL      REER
 List of eigenvalues in descending order: .040825
*******************************************************************************
 Null Alternative Statistic 95% Critical Value 90% Critical Value
 r=0       r=1       2.4593         4.1600           3.0400
*******************************************************************************
 Use the above table to determine r (the number of co-integrating vectors).
Co-integration with no intercepts or trends in the VAR
Choice of the Number of Co-integrating Relations Using Model Selection Criteria
*******************************************************************************
 56 observations from 2007M5 to 2011M12. Order of VAR = 1.
 List of variables included in the co-integrating vector: GDP
 List of I(0) variables included in the VAR: OP            INFL      REER
 List of eigenvalues in descending order: .040825
*******************************************************************************
 Rank      Maximized LL        AIC          SBC          HQC
 r=0       -76.3548       -79.3548      -82.4711      -80.5713
 r=1       -75.1252       -79.1252      -83.2803      -80.7472
*******************************************************************************
AIC = Akaike Information Criterion SBC = Schwarz Bayesian Criterion
 HQC = Hannan-Quinn Criterion




                                                    22
Journal of Economics and Sustainable Development                                               www.iiste.org
ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online)
Vol.3, No.7, 2012


Table 1.3: OLS Estimation of a Single Equation in The Unrestricted VAR
*******************************************************************************
 Dependent variable is GDP
 56 observations used for estimation from 2007M5 to 2011M12
*******************************************************************************
 Regressor          Coefficient     Standard Error        T-Ratio[Prob]
 GDP(-1)               .89944         .14283             6.2974 [.000]
 GDP(-2)             .0048291           .19205        .025144 [.980]
 GDP(-3)             .0073766           .19250        .038321 [.970]
 GDP(-4)              .8530E-4           .14709       .5799E-3 [1.00]
 OP                  -.0042568         .0067912        -.62681 [.034]
 INFL                -.012422         .014618          -.84980 [.040]
 REER                 .011249        .0064774            1.7367 [.008]
*******************************************************************************
 R-Squared                .79269 R-Bar-Squared                 .76730
 S.E. of Regression         .94804 F-stat. F( 6, 49) 31.2261[.000]
 Mean of Dependent Variable 4.3286 S.D. of Dependent Variable             1.9653
 Residual Sum of Squares       44.0406 Equation Log-likelihood         -72.7338
Akaike Info. Criterion      -79.7338 Schwarz Bayesian Criterion -86.8226
 DW-statistic             2.0039 System Log-likelihood           -72.7338
*******************************************************************************
  A:Lagrange multiplier test of residual serial correlation
  B:Ramsey's RESET test using the square of the fitted values
  C:Based on a test of skewness and kurtosis of residuals
  D:Based on the regression of squared residuals on squared fitted values

Table 1.4 Wald Test of Restriction(s) Imposed on Parameters
*******************************************************************************
 Based on VAR regression of GDP on:
 GDP(-1)         GDP(-2)        GDP(-3)     GDP(-4)       OP
 INFL           REER
 56 observations used for estimation from 2007M5 to 2011M12
*******************************************************************************
 Coefficients A1 to A7 are assigned to the above regressors respectively.
 List of restriction(s) for the Wald test:
  A1+ A2+ A3+ A4+ A5+ A6+ A7=2
*******************************************************************************
 Wald Statistic             CHSQ( 1)= 239.2899[.000]
*******************************************************************************
Figure 1.1 Plot of Cumulative Sum of Recursive Residuals
                     Plot of Cumulative Sum of Recursive Residuals
    20
    15
    10
     5
     0
     -5
    -10
    -15
    -20
    2007M5     2008M3        2009M1        2009M11       2010M9        2011M7        2011M12
             The straight lines represent critical bounds at 5% significance level




                                                                          23
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An econometric approach to the economic impact of petroleum oil price fluctuation in kenya

  • 1. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 An Econometric Approach to the Economic Impact of Petroleum Oil Price Fluctuation in Kenya Kotut Cheruiyot Samwel*1 Menjo Kibiwot Isaac2, Jepkwony Joel3 1. School of Business and Economics, Department of Economics, Moi University, P.O Box 3900 Eldoret 30100 Kenya. TEL:- +254722462522 or +254722775422, *Email kotutmogo@yahoo.com 2. P.O Box 4685 Eldoret 30100 Kenya. TEL:- +254722992841 or +254732992841 Email:- Menjomogo@yahoo.com 3. School of Business and Economics, Department of Marketing and Management Science, P.o Box 3900, Eldoret, 30100 Kenya Tel +254722684214 Email: kemboi_joel@yahoo.com Abstract Oil prices in Kenya have been fluctuating over time hence raising the question as to its impact on the economic performance, this paper examines the economic impact of oil prices in Kenya on an econometric perspective. In carrying out the analysis a Vector Auto Regressive (VAR) Model was estimated, as a standard behavior with time series Data stationarity test was carried out followed by the determination of the short run as well as the Long run Dynamics of the model following co-integration analysis, before the estimation of the VAR model. The study found out that oil price fluctuation has a negative significant impact on the economic performance in Kenya. We strongly recommend that the government should adopt appropriate policy measures to manage oil price since despite the fact that they are determined exogenously there is a lot of debate to mismanagement within the sector. Key words:- Oil prices, Economy, Inflation, co-integration Analysis, VAR Model 1.0 Introduction Petroleum oil consumption is generally regarded as a major determinant of economic activities in a country. The recent fluctuation in oil prices brings concern about possible slowdowns in the economic growth of both developed and developing economies. Since 1980’s Kenya has under taken major macro economic reforms aimed at improving economic performance in the country. These reforms have included reforming the energy sector so as to make it competitive, efficient as well as attracting investment in the sector. This paper analyses the impact of oil price fluctuations on economic performance in Kenya, it expounds on the role of oil prices on macroeconomic performance in the country adopting Vector Auto Regressive (VAR) model During the past fifteen years the Kenyan economy has been subjected to exceptional fluctuations that have actually hindered its performance. Unless appropriate policies are put in place so as to alleviate these macro economic problems the countries economic prospects of Vision 2030 will just remain a dream. The purpose of this study is to establish the economic impact of petroleum oil fluctuation on economic performance in Kenya; this was done by analyzing the trend of oil prices as well as other macro economic variables on the economic growth in the country. The study adopts VAR model to estimate the relationship between dependent and independent variables. 1.1 Problem Statement Kenya for the past twenty years or so have had serious fluctuations in economic activities which have had a lot of set back to its economic performance, the ever raising inflation, fluctuation in international oil prices, fluctuation in exchange rates among others have been experienced over the years. Oil prices especially to petroleum oil importing countries like Kenya have acted as a major economic burden since pricing of this crucial commodity is determined entirely by the oil exporting countries, in fact there is the latest hypothesis that the Saudis control the petroleum market in the world today, since most activities are depended on the availability and amount of petroleum consumed. The level of petroleum consumed in a country depends on several factors which among them include its prices, the level of economic activity, inflation among others, most of this factors have been constantly fluctuating in Kenya. To be able to draw policy measures on petroleum and the energy sector as a whole, as well as the macro economic policies, it is necessary to establish the interrelationship between the macroeconomic variable and petroleum oil price flutuation. This paper therefore sought to establish this relationship in Kenya adopting VAR model. 1.2 Petroleum sector in Kenya Petroleumoil has been and is still the most important source of commercial energy in kenya. Petroleum fuels are imported in form of crude oil for domestic processing in changamwe(Mombasa) and also as refined products, it is mainly used in the transport, commercial and industrial sectors. Fluctuations in international prices have directly affected domestic prices in the country. For instance, the international price of Murban crude oil rose by 17
  • 2. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 aproximately 46% from US$ 62.05 per barrel in December 2006 to US$ 90.60 per barrel in December 2007 and about US$140 per barrel in August 2008, before plummeting to less than US$ 50 by March 2009. Total quantities of petroleum imports registered a growth of 16.4% to stand at 3 691.8 thousand tonnes in 2007. The total import bill of petroleum products rose by 7.1% in 2007 compared to 8.9% in 2006. Total domestic demand for petroleum products also rose by about 2.8% that is from3 131.5 thousand tonnes in 2006 to 3 218.3 thousand tonnes in 2007( see table 1.2). Trends in the sale or consumption of petroleum oils indicate that retail pump outlets and road transport constitute the largest consumer of petroleum oils followed by aviation and power generation (see table 1.1). Kerosene as a cooking and lighting fuel is equally important especially for the rural and urban poor households and sometimes used as a substitute to wood fuel. Tax policy measures on kerosene have far reaching implications on its consumption and household welfare. Kerosene has other implications on air pollution, health impacts on the poor and security concerns particularly when used to adulterate other fuels. However this does not affect its consumption in the country. Table 1.1 Oil Sales period Light Jet oil Fuel Motor Illuminating Heavy LPG Aviation Total oil spirits diseal kerosean Diseal fuels oil oil 2010 97.6 44.8 43.4 38.8 25.0 1.7 6.1 0.15 257 June 97.6 44.8 43.4 38.8 25.0 1.7 6.1 0.15 257 jully 109.9 47.4 38.8 41.3 21.5 2.2 4.1 0.14 264.9 Aug 97.3 54.7 39.0 40.6 20.1 2.1 6.20 0.15 260.1 sept 107.7 46.6 43.2 41.9 21.9 2.1 5.6 0.08 269.2 Oct 104.6 50.0 51.8 42.1 22.8 1.9 4.8 0.15 278.1 Nov 99.6 50.4 42.2 42.8 21.3 2.5 4.2 0.14 263.1 Dec 114.8 53.8 50.3 53.3 20.7 2.1 4.0 0.17 299.1 2011 Jan 107.1 57.2 48.1 42.4 21.3 2.3 5.4 0.19 283.8 Feb 107.4 52.4 47.4 42.4 19.0 2.7 4.1 0.17 275.5 Mar 121.4 72.4 61.6 47.9 23.6 2.5 5.8 0.05 335.2 Apr 106.1 50.8 54.0 43.7 23.9 2.1 5.3 0.13 285.9 May 107.2 51.9 61.5 46.2 20.7 2.2 5.5 0.14 295.3 Jun 106.5 46.3 47.0 44.0 20.8 1.9 5.3 0.21 272.0 Source, Ministry of Energy 18
  • 3. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 Table 1.2 murban adnoc prices 2006-2011 US$BBL Month/Year 2006 2007 2008 2009 2010 2011 January 62.15 54.85 92.25 48.85 77.50 95.55 February 60.95 58.75 95.10 44.95 74.20 103.60 March 60.85 62.10 102.20 47.55 78.30 112.55 April 67.50 67.60 109.35 45.85 84.80 120.70 May 68.50 68.40 125.75 60.15 77.85 113.60 June 68.85 69.70 134.00 71.65 74.80 112.15 July 73.00 73.70 137.35 66.95 73.00 113.95 August 72.70 71.75 117.50 72.75 74.60 September 63.25 78.55 98.05 69.10 75.90 October 59.35 81.80 69.25 69.25 81.50 November 59.70 91.75 51.40 78.60 85.65 December 62.05 90.60 42.10 76.10 91.85 Source, Ministry of Energy 1.3 Theoretical Frame. This study analyses the relationship between oil price fluctuation and economic performance in Kenya. The oil consumption amount is determined by the Willingness to Pay by the consumer. The Willingness to Pay (WTP) is an economic theory that aims to determine the amount of money that a consumer is willing to use for the energy product; this indicates the value that the consumer attaches for the energy product. The consumers’ WTP is becoming a popular concept and is now one of the standard approaches used by researchers and economists to place a value on goods or services for which no market-based pricing mechanism exists {koss (2001) and Gill et al. (2000)}. Existing Literature have suggested that there are two approaches used to analyze the consumers’ willingness to pay. These are;- the direct approach, which involves taking a survey through a structured questionnaire of consumers’ WTP specified prices for hypothetical services, also referred as Contingent Valuation Method (CVM). Next is the indirect approach that involves observing consumers’ behavior and modeling of behavior based on the approximate expenditure in terms of time and money to obtain the goods or services and infer about WTP through measurement of revealed preference {Kristrom and Laitila (2003), Raje et al. (2002), Cookson (2000)}. The revealed preferences approach derives WTP values indirectly from the actual market behavior of individuals. This study estimates a VAR model to determine the macroeconomic relationship between oil price consumption and economic performance in Kenya. 1.4 Conceptual Frame There are several factors that determine the level of economic activities in a country, this include inflationary situations, exchange rates, monetary as well as fiscal policies among others. How ever the amount of oil consumption plays a major role in determining the level of activities, the question therefore is to determine the macroeconomic relationship between oil prices and economic performance. This is diagrammatically presented as follows. 19
  • 4. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 2.0 Methodology This study adopts the following Vector Auto Regressive model as proposed by Sims (1980) p −1 ∑ Z t = µ + Ai Z t −1 + ε T : ε t ≈ i.i.d (0, Ω) . Where Zt is=1 (Kx1) Vector of variables, µ is a (Kx1) Vector of Intercept terms, Ai is a (KxK) matrix of i a coefficients, p is the number of lags adopted, ԑt is a (KxK) of Vector error terms for t=1,2,3,…………,T. also ԑt is independently and identically distributed i.e (i.i.d) with zero mean and a (KxK) constant Variance- Covariance matrix { E(ԑt) = 0, E(ԑt ε t' ) = Ω } 2.1 Data Sources and Definition of Variable This study adopted secondary data from Kenya National Bureau of statistics (KNBS) and the Central Bank of Kenya (CBK) data base. The dependent variable is Gross Domestic Product (GDP), while the independent variables incorporated in the model include, Murban oil prices (OP) representing import prices, Inflation (Inf) rates and Real Exchange Rates (REER). 3.0 Findings 3.1 Unit Root Test The Augmented Dickey Fuller (ADF) Test was adopted in this study to test for unit root. The results in table 1 shows that the Null hypothesis of no Unit root was rejected at 10% 3.2 Stability Test While interpreting the long run VAR model it is assumed that the sample coefficients remain stable over the study period since the inference drawn might be invalid if it so happens that the sample coefficients were indeed not stable. The study adopted the plot of CUSUM test and CUSUM sum of squares test as propounded by Brown et al (1975). Figure 1.1 shows that there were no statistically significant error and that the model was properly specified, otherwise instability would have been seen by movement of residue plot outside the critical lines. 3.3 Co-integration Analysis To estimate the existence of short run as well as the long run association between the variables, the study used the Johansen and Juselius (JJ) multivariate cointegration technique. The results in Table 1.2 indicate that when two lags are adopted the null Hypothesis of no cointegration is rejected at 10% significance level. This therefore provide a precedence to conclude that there exist a long run association between the oil prices and the independent variables included in the study, hence giving a go ahead to estimate the VAR model 3.4 Discussion of Findings After the establishment of the existence of a long run association we proceeded to estimate the VAR model. These results are presented in table 1.3. The test statistics are satisfactory. The goodness-of-fit variable (R2) show that the exogenous variables account for 76.73% of the variations economic performance in the short run. The 20
  • 5. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 DW statistic is approximately 2.0 and larger than R2, implying that the regression is not spurious1. From the diagnostic test statistics, the null hypotheses of the absence of residual autocorrelation, normality, misspecification and heteroscedasticity in the residual cannot be rejected. The evidence here indicates that the macroeconomic variables (Oil performance, Real exchange rate and Inflation rate) are all having statistical significant impact on performance of the economy. It is evident that oil prices have a negative impact on the performance of the economy which conforms to findings in other countries that import oil. Therefore concluding that oil prices play a major role the performance of Kenya’s economy hence calling for adequate macroeconomic management in relation to this sector. Table 1.4 presents the wald test of significance which indicate that the variables are significant and there is no statistical problems of Auto correlation and multi-colliniarity hence satisfying our finding. References Andrews, D. W. K. (1991). “Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation”, Econometrica, 59,pp 817-858. Bai J. and P. Perron (1998). "Estimating and Testing Linear Models with Multiple Structura Changes", Econometrica, 66,pp 47-78. Bai J. and P. Perron. 2003a. "Critical values of Multiple Structural Change Tests", The Econometrics Journal, 6, pp72-78. Bai J. and P. Perron. 2003b. "Computation and analysis of multiple structural-change models",Journal of Applied Econometrics, 18, 1-22. Barsky, R. B. and L. Kilian (2004). “Oil and the Macroeconomy since the 1970s”, Journal of Economic Perspectives, 18(4), pp115–134. Bernanke, B. S. (1983). “Irreversibility, uncertainty and cyclical investment”, Quarterly Journal Of Economics, 98(1), pp85–106. Blanchard, O. J. and J. Galí (2008), The macroeconomic effects of oil price shocks: why are 2000s so different from the 1970s?. Massachusetts Institute of Technology, Department of Economics, Working Paper 07-21. Davis, S. J., and J. Haltiwanger (2001). “Sectoral Job Creation and Destruction Responses to Oil Price Changes”, Journal of Monetary Economics, 48, pp465–512. Dickey, D. A. and W. A. Fuller (1981). "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root", Econometrica, 49. Gómez-Loscos, A., Gadea, M. D. and A. Montañés (2009). Economic growth, inflation and oil shocks: are the 1970s coming back?, Mimeo. 22. Hamilton, J. D. (1996). “This Is What Happened to the Oil-Macroeconomy Relationship”, Journal of Monetary Economics, 38(2), pp215–220. Hamilton, J. D. and A. Herrera (2004). “Oil Shocks and Aggregate Macroeconomic Behavior The Role of Monetary Policy”, Journal of Money, Credit and Banking, 36, 265–286. Hooker, M. A. (1996). “What Happened to the Oil–Macroeconomy Relationship?”, Journal of Monetary Economics, 38, pp195–213. Johansen, S., Juselius, K. (1990). Maximum likelihood estimation and inferences on co- integration with application to the demand for Money. Oxford Bulletin of Economics and Statistics, 52 (2), pp. pp169-210. Kilian, L., A. Rebucci and N. Spatafora (2007). Oil Shocks and External Balances, IMF Working Paper 07/110. Kilian, L. (2008b). “The economic effects of energy price shocks”, Journal of Economic Literature, 46(4), pp871-909. Kwiatkowski, D., P.C.B. Phillips, P. Schmidt and Y. Shin (1992). “Testing the Null Hypothesis of Stationarity against the Alternative of a Unit Root: How Sure Are We that Economic Time Series Have a Unit Root?”, Journal of Econometrics 54,pp159- 178 Mork, K. A. (1989). “Oil and the Macroeconomy when Prices Go Up and Down: An Extension Of Hamilton’s Results”, Journal of Political Economy, 91, pp740–744. Phillips, P. C.B. and P. Perron (1988). "Testing for a unit root in time series regression", Biometrika, 75, pp335- 346. Qu, Z. and P. Perron (2007). "Estimating and Testing Structural Changes in Multivarite Regressions", 1 According to Granger and Neshold, an R2 > d (dw) is a good rule of thumb to suspect that the estimated regression is spurious. The estimated regression in this study reveal a non spurious regression as R2 (0.7673)< d ( 2.0039) 21
  • 6. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 Econometrica, Econometric Society, 75(2), pp459-502. Shapiro, M. D. and M. W. Watson (1988). “Sources of Business Cycle Fluctuations”, in Fischer, S. (ed.), NBER Macroeconomics Annual 1988, MIT Press. Appendix Table 1.1 Unit root tests for residuals ******************************************************************************* Based on VAR regression of GDP on: GDP(-1) GDP(-2) GDP(-3) GDP(-4) OP INFL REER C 56 observations used for estimation from 2007M5 to 2011M12 ******************************************************************************* Test Statistic LL AIC SBC HQC DF -6.9848 -56.9798 -57.9798 -58.8604 -58.3046 ADF(1) -4.8313 -56.9788 -58.9788 -60.7400 -59.6282 ADF(2) -3.8650 -56.9777 -59.9777 -62.6195 -60.9519 ADF(3) -3.6417 -56.7182 -60.7182 -64.2406 -62.0171 ADF(4) -3.1092 -56.7180 -61.7180 -66.1210 -63.3417 ADF(5) -2.7381 -56.7180 -62.7180 -68.0016 -64.6664 ADF(6) -2.4547 -56.7179 -63.7179 -69.8821 -65.9911 ADF(7) -3.2548 -53.7870 -61.7870 -68.8318 -64.3849 ADF(8) -2.8183 -53.7869 -62.7869 -70.7123 -65.7096 ADF(9) -2.5393 -53.7807 -63.7807 -72.5867 -67.0281 ADF(10) -2.3526 -53.7613 -64.7613 -74.4479 -68.3334 ADF(11) -1.9384 -53.5514 -65.5514 -76.1186 -69.4482 ADF(12) -1.7980 -53.5507 -66.5507 -77.9985 -70.7723 ******************************************************************************* Table 1.2 Co-integration with no Intercepts or Trends in the VAR Co-integration LR Test Based on Maximal Eigenvalue of the Stochastic Matrix ******************************************************************************* 56 observations from 2007M5 to 2011M12. Order of VAR = 1. List of variables included in the co-integrating vector: GDP List of I(0) variables included in the VAR: OP INFL REER List of eigenvalues in descending order: .040825 ******************************************************************************* Null Alternative Statistic 95% Critical Value 90% Critical Value r=0 r=1 2.4593 4.1600 3.0400 ******************************************************************************* Use the above table to determine r (the number of co-integrating vectors). Co-integration with no intercepts or trends in the VAR Choice of the Number of Co-integrating Relations Using Model Selection Criteria ******************************************************************************* 56 observations from 2007M5 to 2011M12. Order of VAR = 1. List of variables included in the co-integrating vector: GDP List of I(0) variables included in the VAR: OP INFL REER List of eigenvalues in descending order: .040825 ******************************************************************************* Rank Maximized LL AIC SBC HQC r=0 -76.3548 -79.3548 -82.4711 -80.5713 r=1 -75.1252 -79.1252 -83.2803 -80.7472 ******************************************************************************* AIC = Akaike Information Criterion SBC = Schwarz Bayesian Criterion HQC = Hannan-Quinn Criterion 22
  • 7. Journal of Economics and Sustainable Development www.iiste.org ISSN 2222-1700 (Paper) ISSN 2222-2855 (Online) Vol.3, No.7, 2012 Table 1.3: OLS Estimation of a Single Equation in The Unrestricted VAR ******************************************************************************* Dependent variable is GDP 56 observations used for estimation from 2007M5 to 2011M12 ******************************************************************************* Regressor Coefficient Standard Error T-Ratio[Prob] GDP(-1) .89944 .14283 6.2974 [.000] GDP(-2) .0048291 .19205 .025144 [.980] GDP(-3) .0073766 .19250 .038321 [.970] GDP(-4) .8530E-4 .14709 .5799E-3 [1.00] OP -.0042568 .0067912 -.62681 [.034] INFL -.012422 .014618 -.84980 [.040] REER .011249 .0064774 1.7367 [.008] ******************************************************************************* R-Squared .79269 R-Bar-Squared .76730 S.E. of Regression .94804 F-stat. F( 6, 49) 31.2261[.000] Mean of Dependent Variable 4.3286 S.D. of Dependent Variable 1.9653 Residual Sum of Squares 44.0406 Equation Log-likelihood -72.7338 Akaike Info. Criterion -79.7338 Schwarz Bayesian Criterion -86.8226 DW-statistic 2.0039 System Log-likelihood -72.7338 ******************************************************************************* A:Lagrange multiplier test of residual serial correlation B:Ramsey's RESET test using the square of the fitted values C:Based on a test of skewness and kurtosis of residuals D:Based on the regression of squared residuals on squared fitted values Table 1.4 Wald Test of Restriction(s) Imposed on Parameters ******************************************************************************* Based on VAR regression of GDP on: GDP(-1) GDP(-2) GDP(-3) GDP(-4) OP INFL REER 56 observations used for estimation from 2007M5 to 2011M12 ******************************************************************************* Coefficients A1 to A7 are assigned to the above regressors respectively. List of restriction(s) for the Wald test: A1+ A2+ A3+ A4+ A5+ A6+ A7=2 ******************************************************************************* Wald Statistic CHSQ( 1)= 239.2899[.000] ******************************************************************************* Figure 1.1 Plot of Cumulative Sum of Recursive Residuals Plot of Cumulative Sum of Recursive Residuals 20 15 10 5 0 -5 -10 -15 -20 2007M5 2008M3 2009M1 2009M11 2010M9 2011M7 2011M12 The straight lines represent critical bounds at 5% significance level 23
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