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    Journal of Economic StudiesEmerald Article: OIL PRICE SHOCKS AND STOCK MARKET BEHAVIOUR IN NIGERIA

    Musibau Adetunji Babatunde, Olayinka Adenikinju, Adeola Adenikinju

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    Musibau Adetunji Babatunde, Olayinka Adenikinju, Adeola Adenikinju, (2012),"OIL PRICE SHOCKS AND STOCK MARKET BEHAVIO

    NIGERIA", Journal of Economic Studies, Vol. 40 Iss: 2 (Date online 30/7/2012)

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    Article Title Page

    [Article title]: OIL PRICE SHOCKS AND STOCK MARKET BEHAVIOUR IN NIGERIA

    Author Details (please list these in the order they should appear in the published article)

    Author 1 Name: Musibau Adetunji BABATUNDEDepartment: EconomicsUniversity/Institution: University of IbadanTown/City: IbadanState (US only): Oyo StateCountry: Nigeria

    Author 2 Name: Olayinka ADENIKINJU

    Department: Department of EconomicsUniversity/Institution: University of IbadanTown/City: IbadanState (US only): Oyo StateCountry: Nigeria

    Author 3 Name: Adeola F. ADENIKINJUDepartment: EconomicsUniversity/Institution: Bowen UniversityTown/City: IwoState (US only): Osun StateCountry: Nigeria

    Author 4 Name:Department:University/Institution:Town/City:State (US only):Country:

    NOTE: affiliations should appear as the following: Department (if applicable); Institution; City; State (US only); Country.No further information or detail should be included

    Corresponding author: [Name] Musibau Adetunji BabatundeCorresponding Authors Email: [email protected]

    Please check this box if you do not wish your email address to be published

    Acknowledgments (if applicable):

    Biographical Details (if applicable):

    [Author 1 bio]

    [Author 2 bio]

    [Author 3 bio]

    [Author 4 bio]

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    Structured Abstract:

    Purpose of this paper: The purpose of this study is to investigate the interactive relationships between oil

    price shocks and the Nigeria stock market.Design/methodology/approach: The paper applied the multivariate vector auto-regression that employed the

    generalized impulse response function and the forecast variance decomposition error.Findings: Empirical evidence reveals that stock market returns exhibit insignificant positive response to oil

    price shocks but reverts to negative effects after a period of time depending on the nature of the oil price

    shocks. The results are similar even with the inclusion of other variables. Also, the asymmetric effect of oil

    price shocks on the Nigerian stock returns indices is not supported by statistical evidences.

    What is original/value of paper?: This is the first study to examine the dynamic linkages between stock market

    behaviour and oil price shocks in Nigeria.Keywords: Oil Price Shock, Stock Market, VAR, Impulse Response, Nigeria.

    Article Classification: Research paper

    JEL classifications: G10, Q40

    For internal production use only

    Running Heads:

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    OIL PRICE SHOCKS AND STOCK MARKET BEHAVIOUR IN

    NIGERIA

    AbstractThe purpose of this study is to investigate the interactive relationships between oil price shocks

    and Nigeria stock market. It applied the multivariate vector auto-regression that employed the

    generalized impulse response function and the forecast variance decomposition error. Empirical

    evidence reveals that stock market returns exhibit insignificant positive response to oil price

    shocks but reverts to negative effects after a period of time depending on the nature of the oil

    price shocks. The results are similar even with the inclusion of other variables. Also, theasymmetric effect of oil price shocks on the Nigerian stock returns indices is not supported by

    statistical evidences.

    Keywords: Oil Price Shock, Stock Market, VAR, Impulse Response, Nigeria.

    JEL Classification: G10, Q40

    I IntroductionThe aim of this study is to analyze the relationships between oil price shocks and stock

    market behavior in Nigeria. The choice of Nigeria is informed by some factors. First, Nigeria is a

    major supplier of oil in world energy markets and her stock market is likely to be susceptible to

    changes in oil prices. Second, a sizable amount of the literature has concentrated their attentionon oil importing countries and ignored these issues for oil exporting countries. When the oil price

    increases, an income transfer occurs from oil importing countries to oil exporting countries. For

    example, asset prices and stock prices in particular will be affected by the price of oil, through

    the cash flow of oil related firms in an oil exporting country. Asset prices may then influence

    consumption through a wealth channel and investments through the Tobin Q effect and,

    moreover, increase a firms ability to fund operations (credit channel).

    Third, most of the studies have also focused on Asia, gulf cooperating countries

    ((Hammoudeh and Aleisa, 2004; Arouri and Fouquau, 2009), United States (Kling, 1985;

    Sadorsky, 1999), Australia (Faff and Brailsford, 1999), Greece (Papapetrou, 2001) Malaysia

    (Ibrahim and Aziz, 2003), Thailand (Valadkhani and Chancharat, 2008), Mexico, and Norway

    (Hammoudeh and Li, 2004), Turkey (Eryigit, 2009) United Kingdom (El-Sharif et al., 2005)andCanada (Sadorsky, 2001) among others leaving a glaring gap for countries in sub-Saharan

    Africa, and Nigeria in particular. In addition, the relationship between oil price shocks and stock

    market performance has also remained unresolved in the literature. For example, while Jones and

    Kaul (1996), Sadorsky (1999) and Ciner (2001) report a significant negative connection between

    oil price shocks and stock market returns, Chen et al. (1986) Huang et al. (1996), and Gjerde and

    Saettem (1999) established that there is a positive association. An increase in the price of oil will

    likely translates into a decline in stock market performance. More expensive fuel translates into

    higher transportation, production, and heating costs, which can put a drag on corporate earnings.

    Rising fuel prices can also stir up concerns about inflation and curtail consumers discretionary

    spending. The increasing price of oil causes the costs of production to also increase. To preserve

    a profit margin for an industry, the price of an item will have to be increased to cover highercosts. When prices are increased, sales decrease. People will be less inclined to buy some article

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    if it costs more. When sales drop off due to higher prices, profits decrease. When profits drop,

    the price people will be willing to pay to invest in a business in the form of stocks and bonds willalso drop. Thus, when oil prices go up, stock goes down.

    The converse of decreasing stock prices with increases in the price of oil is that as oil

    prices decline, stocks will tend to increase in value. This is because lower oil prices mean a

    decrease in costs associated with production and distribution of goods, which means prices on

    goods can drop and sales can increase. Increased sales lead to higher profits for a business and

    more attractive stock ownership. Thus, when oil prices go down, stock goes up. Investigation of

    the nature of this relationship in Nigeria is part of the focus of this study. Thus, we attempt to

    undertake what is, to the best of our knowledge, the first study of the dynamic linkages between

    stock market behaviour and oil price shocks in Nigeria. The sequence of this paper is clear.

    Section II highlights the trend of discussion in the literature. Section III discusses the data and

    methodological issues while a discussion of the main empirical findings is provided in sectionIV. Section V concludes.

    II Review of Related Studies

    Although changes in the price of crude oil are often considered an important factor for

    understanding fluctuations in stock prices, there is no consensus about the relation between stock

    prices and the price of oil among economists. While some of the studies have established a

    positive link between oil price changes and stock market, other studies have considered the

    impact as being weak, conditional or non-existing.

    By way of illustration, Kling (1985) investigated the relationship between crude oil pricechanges and stock market activity between 1973 and 1982 in the US and found that crude oil price

    changes affect the future stock prices in the industries which use oil as input factors. Jones and Kaul(1996) tested the rationality of stocks prices by constructing cash-flow dividend valuation model

    between 1947 and 1991 and found a negative significant effect of oil shocks on the stock market.Sadorsky (1999) investigated the dynamic interaction between oil price and other economic variables

    including stock returns using an unrestricted VAR with US data. The study found that oil pricechanges and oil price volatility have a significantly negative impact on real stock returns. The study

    also found that industrial production and interest rates responded positively to real stock returns

    shocks. Sadorsky, however, found that in periods subsequent to 1986, oil price shocks have

    significant effect on real stock returns. Above all, the study showed that oil price movements

    explain a larger portion of the forecast error variance in real stock returns than interest rates.

    Faff and Brailsford (1999) studied the sensitivity of oil price factor and the Australian

    stock market during the period of 1983 to 1996. They highlighted that there is significantpositive oil price sensitivity in the Oil and Gas and Diversified Resources industries. In addition,

    they showed that negative oil price sensitivity is higher in industries with a relatively high

    proportion of their costs devoted to oil-based inputs such as transportation industries. However,

    their predicted negative sensitivity may be due to the fact that the companies may have passed on

    higher fuel costs to their customers by increasing prices of their goods and services.

    Similarly, Papapetrou (2001) studied the dynamic relationship among the oil price, real stockprices, interest rates, real economic activity and employment with data from Greece. The study found

    that an oil price shock has an immediate negative impact on the stock market as well as industrial

    production and employment. That is, a positive oil price shock depresses real stock returns. However,

    contrary to the literature, Papapetrou showed that stock returns do not rationally signal (or lead)

    changes in real activity and employment in his analysis since growth in industrial production andemployment respond negatively to real stock returns. Also in another study, Hondroyiannis and

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    Papapetrou (2001) using multivariate vector autoregressive model (VAR analysis) and monthly

    time-series data to test the dynamic relations between macroeconomic variables and stock returnsin Greece found a positive oil price shock depresses real stock return.

    Nandha and Faff (2008) conducted a study that examined the impact of oil price changes

    on 35 industry sectors based on the standard FTSE Global Classification System. They found

    that oil price changes have a negative impact on equity returns from all industries, with the

    exception of mining, and oil and gas. They were of the opinion that the broad oil price impacted

    across industries, because crude oil has a huge array of by-products, which find applications

    from aviation fuel through to shampoo and shoes. Moreover, higher oil prices might have an

    impact on interest rates and discourage consumer confidence, creating indirect channels for

    reflecting higher oil prices into equity prices. Their analysis demonstrated that oil price increases

    and decreases have a symmetric impact on the equity markets. Jahan-Parvar and Mohammadi

    (2009) studied the potential loss of competitiveness due to higher oil prices through the monetarychannel in a group of six oil producing countries. The Dynamic Simultaneous Equations was

    applied to Vector Autoregressive Moving Average model with exogenous variables. Mixed

    evidence was found of loss of competitiveness due to high oil prices in their sample.

    However, some other set of studies have found a positive relationship between crude oil

    prices and stock markets. For example, Al-Mudhaf and Goodwin (1993) in a firm-specific study

    examined the returns from 29 oil companies listed on the New York Stock Exchange. Their

    findings suggested a positive impact of oil price shocks on ex post returns for firms with

    significant assets in domestic oil production. Huang, et al (1996), however, found no negative

    relationship between stock returns and changes in the price of oil futures. Gjerde and Saettem(1999) investigated the relationship between stock returns and macroeconomic factors by using a

    multivariate vector autoregression (VAR) in Norway. Oil price shocks have a positive impact on thestock market while interest rates changes affect the stock market negatively. Surprisingly, the

    relationship between stock returns and domestic activity is different from those of big economies

    such as the US and Japan, where stock markets rationally signal changes in real activity. However, in

    Norway changes in real stock returns do not have a significant influence on domestic economic

    activity, while industrial production significantly affects real stock returns. This means that

    Norwegian stock market respond inaccurately to economic news from the real sector.

    Ibrahim and Aziz (2003) analyzed dynamic linkages between stock prices and four

    macroeconomic variables for the case of Malaysia using cointegration and vector autoregression.

    Empirical results suggest the presence of a long-run relationship between these variables and the

    stock prices and substantial short-run interactions among them. They documented positive short-

    run and long-run relationships between the stock prices and two macroeconomic variables. Theexchange rate, however, is negatively associated with the stock prices. They also noted the

    disappearance of the immediate positive liquidity effects of the money supply shocks and

    unstable interactions between the stock prices and the exchange rate over time.

    Valadkhani and Chancharat (2008) investigated the existence of cointegration andcausality between the stock market price indices of Thailand and its major trading partners

    (Australia, Hong Kong, Indonesia, Japan, Korea, Malaysia, the Philippines, Singapore, Taiwan,

    the UK and the USA), using monthly data spanning December 1987 to December 2005. Based

    on the empirical results obtained from these two residual-based cointegration tests, potential

    long-run benefits exist from diversifying the investment portfolios internationally to reduce the

    associated systematic risks across countries. However, in the short-run, three unidirectional

    Granger causalities run from the stock returns of Hong Kong, the Philippines and the UK tothose of Thailand, pair-wise. Furthermore, there are two unidirectional causalities running from

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    the stock returns of Thailand to those of Indonesia and the USA. Empirical evidence was also

    found of bidirectional Granger causality, suggesting that the stock returns of Thailand and threeof its neighbouring countries (Malaysia, Singapore and Taiwan) are interrelated.

    Sadorsky (2001) chose Canadian companies as an example. Using the stock market

    index, energy price, interest rates, and exchange rates as explanatory variables, he found the rise

    of the stock market index and oil price had a positive effect on oil companies returns, while the

    rise of interest rates and exchange rates had a negative effect. Hammoudeh and Li (2004) have

    suggested that the oil price increases have had positive impacts on the US, Mexico, and Norway

    oil and transportation industries stock yields, while Boyer and Filion (2007) have found out the

    similar impact for the Canadian oil and gas stock returns. This result was supported for the UK

    by El-Sharif et al. (2005) who also argued that the sensitivity of the stock yields of the non-oil

    and gas sectors to oil prices is weak. A similar conclusion was given by Osmundsen et al. (2007)

    including the oil and gas companies.Eryigit (2009) also found that the price changes of oil orenergy affect emerging economies markets more than developed markets. He had studied the

    impact of oil prices changes in both US Dollars and Turkish Lira on sub-sector indices in

    Istanbul Stock Exchange. He found that oil price changes have statistically significant positive

    effects on trading and services, consumer products, industrial products, manufacturing and

    financial sector covering insurance but do not have significant impact on transportation and other

    financial sectors.

    On the contrary, there are also arguments suggesting that the oil prices have no impact on

    asset pricing. For example, Chen et al. (1986) suggested that there is no evidence indicating that

    the oil prices risk is priced by the stock markets. Huang et.al (1996) applied a vector

    autoregression (VAR) approach to daily oil future prices and daily US stock returns for period

    1979 to 1990 and found no evidence of relationship between oil future prices and the S&P 500.Sadorsky (1999) stated that there is no evidence indicating that the shocks caused by the

    volatility of the oil prices have an asymmetric impact on the economy. Maghyereh (2004) studiedthe dynamic relationship between oil price shocks and stock market returns for 22 emerging

    economies. Results from the variance decomposition analysis show very weak evidence that oil price

    shocks affect stock market returns in emerging economies. He concluded that, inconsistent with

    previous empirical studies in developed economies, stock markets in the emerging economies are

    inefficient in the transmission of new information of the oil market, and stock market returns in those

    countries do not rationally signal changes in crude oil price. Further, Hammoudeh and Aleisa

    (2004) consider five oil-exporting countries, Bahrain, Kuwait, Saudi Arabia, and the UAE. In

    their study only the Saudi Arabian stock market exhibits some dependence on oil prices; the

    smaller Gulf stock markets are apparently invariant to oil price changes.Nevertheless, there is also argument in the literature that the characteristics of the

    economy in each country matter for the kind of association that is found between oil prices and

    stock markets. For example, based on the analysis to the US and 13 European countries, Park

    and Ratti (2008) found that the impacts of oil price shocks on oil-importing countries stock

    market are negative while the impact on oil-exporting countries stock market are positive. With

    regard to the impacts of the oil prices on the stock indices, Billmeier and Massa (2009)

    conducted an empirical study covering 17 countries and selected these countries from among the

    oil exporter Middle Eastern countries and the oil importer Central Asian countries. In their study,

    they indicated that the increase in the oil prices had positive impact on the stock yields of the

    exporter countries but negative impact on the stocks of the importer countries.

    In addition, some studies have shown that oil price shocks influenced various industriesstock price differently. A common held view is that oil price shocks are beneficial for oil

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    companies upstream, yet has an adverse effect on companies downstream and other industries.

    For example, Huang et al. (1996)s research, based on correlative coefficient method and a VARmodel, used the S&P 500 index, 12 US industries stock price indices, and three oil company

    stock prices. They found crude oil future returns had significant abilities to explain oil

    companies stock returns, which could be seen as their lead index, but had little effect on the

    total market. Faff and Brailsford (1999) used an enlarged market model to research several

    industry returns in the Australian stock market. They found that oil price had an effect on stock

    prices, and the oil and gas industry and diverse resources industry had positive sensitivities,

    while papermaking, packing, and transportation industry had negative sensitivities. Choe (2002)

    studied how oil price shocks on another perspective i.e. oil price impact on large and small firms

    between the periods of 1950 to 2000. The companies were divided into sizes depending on the

    market capitalization of the companies. The empirical results showed that the oil price shocks in

    general affect the stock returns of large firms more than the smaller firms. The asymmetricanalyses also showed that positive oil price shocks have more significant effect on both large and

    small firms than do negative shocks. Thus, in conducting this research, the market capitalization

    of the sample companies is an essential consideration.

    Sadorsky (2008) concurred with Choe when he investigated the empirical relationship

    between firm size, oil prices, and stock prices. The empirical results showed that increases in

    firm size or oil prices reduce stock price returns. They found that changes in oil prices have an

    asymmetric effect on stock prices. Increases in oil prices have a greater effect on stock returns

    than decreases in oil prices. It is also the case that when asymmetric oil price changes are

    considered, the effect of firm size shows up most pronounced for medium-sized firm. He gave an

    example of being the middle child in a family. That is, it is tough being a medium-sized firm.

    Medium-sized firms do not enjoy the production efficiency and financial leverage of large firmsnor do they have the flexibility and responsiveness of small firms. Thus, medium-sized firms are

    more likely to be more adversely affected, in terms of stock prices, by changes in oil prices.

    Taking an overview of these studies, it is obvious that the literature is inconclusive

    regarding the relationship between crude oil prices and stock market, although the studies

    reviewed have tried to generate a clearer understanding of the relationship between oil prices and

    stock market. There is therefore hardly any doubt that a possible relationship between oil price

    movement and stock market could exist. Perhaps, a fundamental reason why it is difficult to

    reach a definitive conclusion regarding the link is the web of interrelationships that is involved in

    establishing the relationship between crude oil prices and stock market. Oil price movement can

    have a significant impact on the stock market, but so can many factors that are related to the

    stock market. Thus, a positive (negative) relationship between oil price movement and stockmarkets could have well existed but because the result in some cases depends on the

    characteristics of the economy, the industry being considered and the firm size, the results have

    been inconclusive. The suspect may have shot the victim but the jury may still have insufficient

    evidence to indict her. Thus, whether these relationships exist in Nigeria is the focus of this

    paper.

    III Data and Methodological Issues

    3.1 Data EmployedThis study examines the effect of oil price shocks on the real stock returns of Nigeria.

    Based on Fama (1981)s hypothesis that measures of economic activity and inflation have played

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    a role in the analysis of stock market activity, we also consider short-term interest rates,

    consumer price index (CPI), and industrial sector GDP, which may influence the relationshipsbetween oil price shocks and stock market. With respect to oil price, we adopt the Bonny Light

    crude oil price as a representative of the oil price. This is because it represents the dominant

    crude oil resource for Nigeria. The real oil price is product of Bonny Light oil price and

    exchange rate (Naira per US Dollar) deflated by the CPI. We proxy the short-term interest rates

    with 3 months deposit rates of commercial banks. On the stock market indices, we choose the

    Nigerian Stock Exchange to calculate the stock returns. One composite index1 (Nigerian stock

    market composite index) and five classification indices (agriculture, financial, commercial,

    manufacturing and services) are used to examine the Nigerian stock market. The industrial sector

    GDP is deflated by the GDP Implicit price deflator.

    All the variables were sourced from the Central Bank of Nigeria Statistical Bulletin and

    Annual Report and Statement of Account (2008) edition. We employed Nigerian StockExchange indices (NSE) to calculate the stock returns by ln (nse t/nset-1). Thereafter, following

    (Papapetrou (2001); Sari and Soytas (2006); Afshar et al. (2008) and Cong et al (2008) we

    compute the real stock returns (rstns) as the difference between the continuously compounded

    return on stock price and the log difference of inflation. All the variables (except the real stock

    returns) are in logarithmic form. We define the logarithm of interest rate as log (1+r/100). The

    sample period runs from the first quarter of 1995 to the fourth quarter of 2008. The scope of our

    study was based on data availability. The variables are measured as follows:

    r: is the log of short-term interest rate

    ind: is the log of real industrial GDP;

    op: is the log of real oil price;

    infl: is the log of consumer price index;rstns: is real stock returns (Nigeria stock market composite index, agriculture, commercial,

    financial, manufacturing, and services).

    3.2 MethodologyWe adopt the vector auto-regressive analysis (VAR) for this analysis. We choose the

    VAR model to do the following analysis because unrestricted VAR is superior in terms of

    forecast variance to a restricted VECM at short horizons when the restriction is true and the

    performances of unrestricted VAR and VECM for orthogonalized impulse response analysis

    over short run are nearly identical. The VAR approach sidesteps the need for structural modelingby treating every endogenous variable in the system as a function of the lagged values of all of

    the endogenous variables in the system.

    Our basic VAR model will have four variables, log of short interest rate, real oil price and

    industrial GDP, and real stock returns. If we then define a four-dimensional column vector:

    ( , , , )t t t t

    y r op ind srtns= , the VAR model can be set up as follows:

    1 1 2 2 ... , 1, 2,..., (1)t t p t p t y A y A y A y t T = + + + + =

    p is the lag orders, which is determined by the AIC and SC information criterion. T is the size of

    the sample. A1, A2, Ap and B are parameter matrices; t is a column vector of errors with the

    1Value Index of all Common Stocks Listed by Sector on the Nigerian Stock Exchange (1984 = 100)

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    properties of f ( ) 0t

    E = for all t,

    /( )s tE = if s = t and/( ) 0s tE = if ,s t where is the

    covariance matrix. Therefore, t are assumed to be serially uncorrelated but may becontemporaneously correlated and is assumed to have nonzero off diagonal elements. The

    basic model will be extended to allow for non-linear transformations of real oil price changes.

    Since estimated coefficients from VAR models often appear to be lacking in statistical

    significance due to the inaccuracy of the technique in estimating standard errors, impulse

    response functions and forecasting variance decomposition are often used to explain the dynamic

    effects of the shocks on the endogenous variables. An impulse response function (IRF) traces

    the effect of a one-time shock to one of the innovations on current and future values of the

    endogenous variables. While impulse response functions trace the effects of a shock to one

    endogenous variable on to the other variables in the VAR, variance decomposition separates the

    variation in an endogenous variable into the component shocks to the VAR. Thus, the variance

    decomposition provides information about the relative importance of each random innovation in

    affecting the variables in the VAR.

    However, the IRF has been criticized on the basis of being sensitive to variables ordering.

    Hence we adopt the use of the generalized impulse response function (GIRF) which is insensitive

    to variable ordering to analyze the interactive responses between oil price and stock markets and

    obtain the contribution of oil price shocks to the variability in stock returns. Also, in contrast withimpulse response functions for structural models, generalized impulse responses do not require that we

    identify any structural shocks. Pesaran and Shin (1998) propose a more general alternative to the

    Choleski decomposition which is unaffected by the ordering of the variables and which does not

    require the orthogonalisation of the reduced form innovations. The resulting responses are

    unique and fully take account of the historical patterns of correlations observed amongst thedifferent shocks.

    Following Warne (2008) we consider a VAR process for somep dimensional time series

    xtgiven by :

    1

    1,... , (2)k

    t t i t i t

    i

    x D x t T=

    = + + =

    where Dt is a vector with deterministic variables. The process xtmay be covariance stationary,

    integrated of orderd (and possibly cointegrated), while t is p dimensional and assumed to be

    i.i.d. with zero mean and positive definite covariance matrix . The h-steps ahead forecast error

    forxtis given by:

    [ ]1

    0

    | , (3)h

    t h t h t j t h j

    j

    x E x C

    + + + =

    = where It is an information set which includes the history ofxsup to and including period tas

    well as the entire time path forDt. Thep p matrices Cjare given by C0 =Ipandmin ,

    1

    1 (4)k j

    j i j i

    i

    C C j=

    = so that all Cj matrices can be determined recursively from the i matrices. Under this scenario, Koop,Pesaran and Potter (1996) defined the generalized impulse response function by:

    [ ] [ ]1 1 1( , , ) | , | , (5)x t t h t t t h tGI h E x E x + + = = =

    where is some known vector. For the VAR process this means that:

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    1( , , ) . (6)x t hGI h C =

    The choice of is therefore central to determining the time profile for any generalized impulseresponse function. As an alternative to shocking all elements of t one may consider just

    shocking one element such that jt= j . We may therefore define the generalized impulse

    responses as:

    [ ]1 1 1( , , ) | , | , (7)x t t h jt j t t h tGI h E x E x + + = = Letting j=jj, the standard deviation of jt, and assuming that t is Gaussian, it follows that :

    12| , (8)t jt jj j jjE e

    = = where ejis thej:th column ofIp. For the VAR model we then find that:

    12

    1( , , ) (9)

    x jj t h j jjGI h C e

    =

    This measures the response in xt+h from a one standard deviation shock to jt, where the

    correlation between jtand itis taken into account. Defining the diagonalp p matrix as:

    1/ 21 1

    1/ 21 1

    1/ 2

    ( )

    ( )

    .(10)

    .

    .

    ( )p p

    e e

    e e

    diag

    e e

    =

    Consequently, we may express the generalized impulse responses in matrix form as:

    11 1( , , ... , ) , (11)x pp t h h hGI h C C B A = = =where column j is given by 11 1( , , )x tGI h . When is diagonal, then B =

    1/2=

    -1, a

    diagonal matrix with standard deviations along the diagonal.

    In order to determine to asymptotic covariance matrix for an estimate ofChB we make

    the following assumptions. We assumed that Chdepends on aKdimensional vector RK

    and

    that Ch

    is differentiable with respect to . Relative to the VAR model, includes the elements of

    ior some transformations thereof, but they do not include any element from or . In case the

    VAR model includes cointegration rank restrictions, then does not include the cointegration

    vectors but only the parameters on stationary transformations ofx. For the VAR model wherext

    is cointegrated of order (1,1), this means that only includes parameters on lagged first

    difference ofxtand on the 0 < r < p cointegration relations/xt1.

    Furthermore, assume that we have an estimator of , denoted by^

    , based on a sample of T

    observations, which satisfies:^

    ( ) (0, ), (12)dK

    T N

    with NK being a K-dimensional Gaussian distribution,d denoting convergence in

    distribution, and being positive semi-definite. Furthermore, let = vech(), with vech being

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    9 | P a g e

    the column stacking operator which only takes the elements on and below the diagonal. The

    estimator of, denoted by^

    is assumed to satisfy:^

    ( 1)2

    ( ) (0, ), (13)d p pT N +

    while^

    and^

    are asymptotically independent. In case t is Gaussian and, for example, xt is

    cointegrated of order (1,1) these assumptions are all satisfied as long as there are no restrictions

    which involve both and . Furthermore, for such a model:/

    2 ( ) (14)p p

    D D

    + + =

    where is the Kronecker product,Dp is the duplication matrix (Magnus and Neudecker, 1988),

    and / 1 /( )p p p p

    D D D D+ = is the Moore-Penrose inverse ofDp. Given our assumptions it follows that

    the asymptotic distribution of the matrix form of the generalized impulse responses in equation

    (7) can be expressed as:

    2

    ^

    ( ( ) ( ) (0, ) , (15)h

    d

    h h ApT vec A vec A N

    where/ /

    / /

    / / / /

    ( ) ( ) ( ) ( )(16)

    h

    h hA p p p h p h

    vec C vec C vec B vec BB I B I I C I C

    = +

    Hence, what remains to be shown is what the matrix with partial derivatives vec(B)// looks

    like. It can therefore be shown that:3 /

    /

    ( ) 1, (17)

    ( ) 2p p

    vecL L

    =

    whereLp is ap2 p 0-1 matrix defined by:

    /

    1 1

    /

    2 2

    /

    .(18)

    .

    .

    p

    p p

    e e

    e e

    L

    e e

    =

    It then follows that the differential of vec(B) satisfies:

    3 /1( ) ( ) ( ). (19)2

    p p p pvec B I dvec I L L dvec =

    Since ( )p

    dvec D d = we have that :

    3 /

    /

    ( ) 1(20)

    2p p p p p

    vec BI I L L D

    =

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    Ifxt is cointegrated of order (1,1) with r cointegration vectors, denoted by the full rankpr

    matrix , we may also define generalized impulse responses for the cointegration relations. Hence, suppose that we have an estimator of, denoted by

    ^

    , such that:^

    ( ) 0, (21)PT

    where P denotes convergence in probability. Estimators of, such as the ML estimatorsuggested by Johansen (1996), typically satisfy this assumption. Let the cointegrating relations

    be defined by zt = /xt. The generalized impulse response function forzt+h from one standard

    deviation shocks to tis then given by:/

    11 1( , ,...,z pp t hGI h I A =

    It can now be established that an estimator of/Ah satisfies:

    2

    ^ ^/ / /( ( ) ( ) (0, ) (22)

    h

    dh h p A pp

    T vec A vec A N I I

    The reason for this result is, of course, that^

    is T-consistent whereas^

    hA is consistent. Ifxtis

    cointegrated of order (1,1), we may rewrite the VAR in VEC form such that:1

    /

    1 ,

    1

    (23)k

    t t i t i t t

    i

    x D x x

    =

    = + + +where and are full rankp rmatrices (0 < r < p) (Johansen, 1996). In this case we may

    define = vec(1 k1 ) and thep p matrix:/ 1 /( ) , (24)C =

    with1

    1

    k

    p i iI

    = = .We now find that :

    lim , (25)hh

    A CB

    =

    while/lim 0, (26)h

    hA

    =

    Hence, the long-run generalized impulse responses in levels depend on the long-run impact

    matrix C and converge to finite matrix, while the long-run generalized responses for the

    cointegration relations converge to zero. The asymptotic distribution ofCB is readily determined

    from the above results and those regarding the asymptotic distribution for the ML estimator of C(Paruolo, 1997; Johansen, 1996). Specifically, lettingA=CB then:

    2

    ^

    ( ( ) ( ) (0, ) , (27)dAp

    T vec A vec A N

    where/ /

    / /

    / / / /

    ( ) ( ) ( ) ( )(28)

    A p p p p

    vec C vec C vec B vec BB I B I I C I C

    = + The matrix with partial derivatives vec(B)// is given in equation 11. Furthermore, it is

    readily shown that:

    /

    /

    ( )

    , (29)( )

    vec C

    C

    = where is anp(k 1) p matrix given by:

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    11 | P a g e

    / 1 /

    .

    . (30)

    .

    ( ) ( )p

    C

    C I

    =

    The generalized impulse responses forzprovide us with a tool to measure how quickly

    the long-run relations converge to their steady state values. Since the p shocks may result in

    /Ahej 0 for different h, we may, for example, choose a convergence horizon h* based on the

    slowest response. The generalized impulse responses are equal to impulse responses from a

    structural VAR when the structural shocks are identified from a recursive structure and is

    diagonal. In all other circumstances will the generalized impulse responses differ from theimpulse responses of a structural VAR.

    We investigate the time-series characteristics of the data to test whether these variables

    are integrated. The Dickey-Fuller Test with GLS Detrending (DFGLS) and Ng-Perron tests are

    employed. Thereafter, an unrestricted vector auto-regression (VAR) model is employed to

    investigate the complexities of the dynamic connections between oil price shocks and stock

    prices. In addition we carried out non-linear transformations of the oil price variables. The oil

    price is characterized by large price rises and high volatilityand the apparent asymmetric

    response of economic activity to oil price shocks has led researchers to explore different oil

    specifications in order to test the relationships between variables from different views (Hamilton,

    1996, Cong et al., 2008). Adopting the approach of Cong et al. (2008) and Afshar (2008), we

    define two non-linear transformations as follows:

    top+ : real oil price increases

    top+ = max(0; opt)

    In this case, we separate oil price changes into positive and negative changes in a belief that oil

    price increases may have a significant effect on the stock market even though this might not

    occur for oil price decreases.nt

    tOP : net oil price increases

    nt

    tOP : 1max(0, log( ) max(log( ),..., log( ))n

    t t t t nNOP p p p =

    It is defined as the quarterly percentage change of real oil price in log level from the past

    n quarters if that is positive and zero otherwise. This transformation of oil price is proposed byHamilton (Hamilton, 1996; Cong et al., 2008; Afshar, 2008), who argues that if one wants a

    measure of how unsettling an increase in the price of oil is likely to be for the spending decisions

    of consumers and firms, it seems more appropriate to compare the current price of oil with where

    it has been over the previous months rather than the previous month alone. Hamilton thus

    proposes to use the difference between the log oil price in month tand its maximum value over

    the previous n months. If the difference is negative, no oil shock is said to have occurred. With

    this variable, we can check the relationship between oil price increases and stock market

    activities. When n= 1, nttOP is just top

    + . In addition, we also construct an indicator of oil price

    volatility. Volatility is found by calculating the standard deviation of change in crude oil price.

    Finally we examine the asymmetric effect of oil price shocks.

    A great deal of literature has researched the asymmetric effects of oil price shocks since

    Mork (1989) found that oil price increases had a greater influence on a countrys macroeconomy

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    than oil price decreases did, (Jones and Leiby, 1996; Sadorsky, 1999; Kilian and Park (2007);

    Cong et al., 2008). First, we separate op t into positive and negative oil price changes as follows:max(0, ),t top op

    + = min(0, ),t top op =

    Thereafter, we construct a five-variable VAR (r, op+ , op -, ind, srtns) model. A Wald coefficient

    test is used to examine whether the coefficients of positive and negative oil price shocks in the

    VAR are significantly different. Another six-variable VAR (r, op+, op_, ind, infl, srtns) model is

    also constructed to examine the robustness of the results. In the equations for real stock returns:

    0 1 2 3 4 5

    1 1 1 1 1

    (31)P P P P P

    t i t i i t i i t i i t i i t i t

    i i i i i

    srtns r op op ind srtns + = = = = =

    = + + + + + +

    0 1 2 3 4 5 6

    1 1 1 1 1 1

    inf (32)q q q q q q

    t i t i i t i i t i i t i i t i i t i t

    i i i i i i

    srtns r op op ip srtns + = = = = = =

    = + + + + + + +

    The null hypothesis are H0: 2 3 0,i i = i=1,p (or H0: 2 3 0,i i = i=1,,q), where op+

    and

    op- are positive and negative oil price shocks; p and q are lag orders, which are determined based

    on Akaike Information Criterion or Schwarz criterion.

    Variance decomposition decomposes the forecasting variances by various variables

    shocks. We can use it to estimate the importance of various structural shocks. If the fourth

    variable in the basic VAR model ( , , , )t t t t

    r op ind srtns= ,srtnst, can be written as:

    ( )4

    (0) (1)

    4 4 4 1

    1

    ... , 1,2,..., 4 (33)t t j jt j jt j

    srnts y c c t =

    = = + + = ( )

    4

    q

    jc is the fourth row and jth line element of Cq, which can berepresented as( )

    4

    q t qj

    jt

    srtnsc

    += .

    It shows srtnst+qs response to a shock of yjt in the condition that other variables keep constant.

    However, if it can be assumed that there are no series correlations among j, the variances are:

    ( )2

    (0) (1) (3) ( ) 2

    4 4 1 4 2 4 ,

    0

    ... ( ) 1, 2,..., 4 (34)q

    j jt j jt j jt j jj

    q

    E c c c c j

    =

    + + + = =

    Additionally, if there are not correlations among disturbances in the same period, the variance of

    srtnst is the sum of four variances above:4

    ( ) 2

    1

    1 0

    var( ) { ( ) }, 1,2,..., (35)qt j jj

    j q

    srtns c t T

    = =

    = =

    Because the variance of srtns can be decomposed into four irrelative effects, we can define the

    criterion as follows to measure the contribution of various disturbances to the variance of srtns t:( ) 2 ( ) 2

    4 40 0

    44( ) ( ) 2

    41 0

    ( ) ( )(36)

    var( ) ( )

    q q

    j jj j jjq q

    j q

    j jjj q

    c cRVC

    srtns c

    = =

    = =

    = =

    The relative variance contribution (RVC) measures the effect of the j th variable on srtnst. This

    study decomposes real stock returns shock to four parts related to every functions disturbance,

    which can be used to know the relative importance of various shocks in the model.

    IV. Impact of Oil Price Shock on Nigerian Stock Market

    4.1 Unit Roots

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    The unit root results are presented in Tables 1 and 2. The null hypothesis of the two tests

    (Dickey-Fuller Test with GLS Detrending (DFGLS) and Ng-Perron) is that the series has a unitroot. In Tables 1 and 2, the null hypothesis that real stock returns have unit root are not rejected

    at the conventional test sizes for the DF-GLS and NP test. Therefore, the real stock returns series

    are non-stationary. Also, in the Tables, the null hypotheses of real oil price, industrial sector

    GDP, inflation rate (log difference of consumer price index) and interest rate have a unit root are

    not rejected at conventional test sizes. Therefore, we accept that real stock returns, interest rate,

    real oil price, inflation, industrial GDP and the real stock returns (Nigerian stock market

    composite index, agriculture index, financial index, commercial index, manufacturing index and

    services index) are I (1) processes.

    Table 1: Dickey-Fuller Test with GLS Detrending (DFGLS) unit root test results

    Variables Constant (Model 1) Constant and Linear Trend(Model 2)

    Levels First Difference Levels First Difference

    Nigeria Stock Exchange All Sectors Composite

    Index -1.238929 -8.553418* -2.726429 -8.69942*

    Agriculture Index (agr) -1.422322 -8.66607* -2.190633 -8.858295*

    Commercial Index (com) -1.440459 -8.408759* -2.350795 -8.581181*

    Financial Index (fin) -1.531391 -8.08443* -2.48099 -8.064706*

    Manufacturing Index (man) -1.312085 -8.671879* -2.06325 -8.812128*

    Services Index (ser) -1.283163 -8.808441* -2.79352 -8.959719*

    Real Oil Price (op) -0.897353 -4.537954* -1.799748 -5.029518*

    Consumer Price Index -0.383388 -2.972423* -1.441877 -4.235674*

    Industrial Sector GDP (ind) 1.076871 -4.098378* -1.718114 -9.302853*

    Interest Rate (r) -1.513308 -2.94467* -1.87857 -4.166013*

    Asymptotic Critical Values:

    1% -2.60849 -2.60849 -3.751 -3.751

    5% -1.946996 -1.946996 -3.174 -3.174

    10% -1.612934 -1.612934 -2.875 -2.875

    Note: The Null Hypothesis is the presence of unit root. Model 1 includes a constant, Model 2 includes a constantand a linear time trend . *,**,***, significant at1%, 5%, and 10% respectively. Lag length selected based on

    schwarz information criterion (SIC). The Elliott-Rothenberg-Stock DF-GLS test statistics are reported.

    Table 2: Ng-Perron unit root test resultsVariables Constant (Model 1) Constant and Linear Trend

    (Model 2)

    Levels (MZa) First Difference(MZa)

    Levels(MZa)

    First Difference(MZa)

    Nigeria Stock Exchange All Sectors Composite

    Index -5.1063 -25.6485* -12.9532 -25.5565*

    Agriculture Index (agr) -4.2325 -25.534* -14.1289 -25.405*

    Commercial Index (com) -1.4182 -25.8764* -13.4553 -25.6914*

    Financial Index (fin) -5.5677 -25.7403* -10.9635 -26.0131*

    Manufacturing Index (man) -5.5131 -25.5934* -13.5351 -25.4581*

    Services Index (ser) -4.3570 -25.398* -13.2647 -25.2678*

    Real Oil Price (op) -1.6391 - -24.8346* -6.47055 -24.404*

    Consumer Price Index -0.6983 -24.2928** -2.62394 -24.9324*

    Industrial Sector GDP (ind) 0.3755 -24.8856* -8.7995 -24.5265*

    Interest Rate (r) -16.635 -24.4062* -13.3778 -24.122**Asymptotic Critical Values:

    1% -13.8 -13.8 -23.8 -23.8

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    5% -8.1 -8.1 -17.3 -17.3

    10% -5.7 -5.7 -14.2 -14.2

    Note: The Null Hypothesis is the presence of unit root. Model 1 includes a constant, Model 2 includes a constant

    and a linear time trend . *,**,***, significant at1%, 5%, and 10% respectively. Ng-Perron test statistics are

    reported. Spectral GLS-detrended Auto Regressive based on Schwarz Information Criterion (SIC).

    4.2 Real oil price shock

    In this section, we assess the impact of the real oil price shock on real stock returns in

    Nigeria considering the movement of exchange rate (Naira per U.S. Dollar). Following Cong et

    al (2008), the variables in the VAR model are placed in the following order: log of short-term

    interest rate; log of real oil price; log of industrial sector GDP and real stock returns (stock

    market composite index, agriculture, financial, manufacturing, services). This ordering assumes

    that interest rate shocks are independent of contemporaneous disturbances to the other variables.

    With this order of variables, shocks to the interest rate, oil price, and industrial production havepossible contemporary effect on real stock returns, but not the other way around. As highlighted

    in the last section, we adopt the generalized impulse response method which does not depend on

    the variables orders in VARmodel.

    Figure 1 shows the generalized impulseresponse function curves simulated by analyticmethod, based on the VAR(r, op, ind, srtns) model. For the stock market indices, the impacts of

    the oil price shock are not statistically significant at the 1%, 5% and10% level. As revealed in the

    figure, the real oil price shock exhibit positive responses only in the first five periods of the

    shock and thereafter exhibit negative responses. All the orthogonalized impulse responses revert

    to zero after the fifth period which means the impact of oil price shocks is transitory.

    Two non-linear transformations of the real oil price shocks (op+, NOPI) revealed a

    similar result compared to the real oil price shocks. The shocks from op+ have statistically

    insignificant positive impact on stock returns in Nigeria. The positive effect however reverts

    towards zero in the tenth period. This means that the impact of oil price shocks on the Nigerian

    stock market returns in Nigeria is also transitory. Consequently, non-linear measures of the real

    oil price shocks yield similar cases of statistically insignificant impacts just like the linear real oil

    price shocks.As space is limited to accommodate all the impulse response graphs, all the results

    are summarized in Table 3.2 The results in Table 3 show that no responses of stock returns are

    statistically significant despite having a positive relationship.

    2The impulse response graphs are available from the authors on request.

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    16

    |Page

    -.10

    -.05

    .00

    .05

    .10

    .15

    .20

    .25

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    ResponseofNSMCIto

    GeneralizedOne

    S.D.OP

    Innovation

    -.10

    -.05

    .00

    .05

    .10

    .15

    .20

    .25

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    ResponseofAGRtoGeneralizedOne

    S.D.O

    P

    Innovation

    .08

    .04

    .00

    .04

    .08

    .12

    .16

    .20

    .24

    1

    2

    3

    4

    5

    6

    7

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    9

    10

    ResponseofCOMtoGen

    eralizedOne

    S.D.OP

    Innova

    tion

    -.2

    -.1.0.1.2.3

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    ResponseofFINto

    GeneralizedOne

    S.D.OPInnovation

    -.10

    -.05

    .00

    .05

    .10

    .15

    .20

    .25

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    ResponseofMANtoCholesky

    OneS.D.OP

    Innovat

    ion

    -.10

    -.05

    .00

    .05

    .10

    .15

    .20

    .25

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    ResponseofSERV

    toC

    holesky

    OneS.D.OP

    Innovation

    Fig.1.re

    aloilpriceshocks:OrthogonalizedimpulseresponsefunctionofrealstockreturnstolinearoilpriceshocksinVAR(r,op,ind,srtns).

    Notes:Figuresare:firstrowNigeriaStock

    Market

    CompositeIndex(NSMCI),AgricultureIndex(agr),Co

    mmerceIndex(agr),secondrowFinancialIndex(fin),ManufacturingIndex(man),ServicesIndex(serv).Thehorizontalaxisistheperiod.The

    verticala

    xisistheexplanationlevelofdependentvariablestoindependentvariables.Inthemodel,we

    fixtheperiodsat10quarters.

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    Table 3: Statistically insignificant impulse responses of real stock returns to real oil price shocks

    NSMCI Agricultural

    Index

    Commercial

    Index

    Financial

    Index

    Manufacturing

    Index

    Services

    Index

    Shock to op+ p p p p p p

    Shock to NOPI p p p p p PNote: p(n) indicates positive (negative) statistically insignificant orthogonalized impulse response to oil price

    shocks. The positive impact on the stock returns reverts to zero towards the tenth-period.

    4.3 Alternative VAR specificationIn order to test for the robustness of the VAR results, other variables are included in the

    VAR model such as inflation (log difference of consumer price index). A five-variable VAR (r,

    op, ind, infl, srtns) model is built for testing the impact of oil price shocks and their non-linear

    transformations (t

    op+ and NOPIt). Results are presented in Table 4. There is no observable

    difference between Table 3 and Table 4. The statistically insignificant positive impact of oil

    price shock (op) on the stock returns reverts to zero in the fifth-period. This is similar to the

    result reported in the basic model. In the shock to op+ in the second row of Table 4, the

    insignificant positive impact on the stock returns is close to zero in the tenth-period. In addition,

    the insignificant positive impact of NOPI on the stock returns reverts to zero in the seventh-

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    period. We can therefore conclude that the results from the basic VAR model are although

    positive not significant even when some other variables are included.

    Table 4: Statistically insignificant impulse responses of real stock returns to real oil price shocks

    when Inflation is included in VAR model

    All

    Sectors

    Agricultural Commercial Financial Manufacturing Services

    op p p p p p p

    op+ p p p p p p

    NOPI p p p p p PNotes: p(n) indicates positive (negative) statistically insignificant orthogonalized impulse response to oil price

    shocks.

    4.4 Asymmetric effects of oil price shocksThe Chi-square test results employed to investigate the asymmetric effects of whether the

    coefficients of the insignificant positive and negative oil price shocks in the VAR are

    significantly different is presented in Table 5. These are obtained by carrying out a Wald test on

    the coefficients of positive and negative oil price shocks. In all the cases, the null hypothesis of

    symmetry cannot be rejected in the two VAR (r,top+ ,

    top , ind, srtns) and (r,

    top+ ,

    top , ind, infl,

    srtns) models. In summary, the asymmetric effect of oil price shocks on the real stock returns in

    Nigeria is not supported by statistical evidences. This means that there is a symmetrical effect of

    statistically insignificant positive and negative oil price shocks on the Nigerian stock market

    returns.

    Table 5: A Wald test for the asymmetric impact of real oil price shocks on real stock returnsChi-square test results (r, op, ind, inf, real

    stock returns) H0: 2 3i i = Chi-square test results (r, op, ind, inf, real

    stock returns) H0: 2 3i i =

    All Sectors 0.031313 0.676682

    Agricultural 0.414376 1.421165

    Commercial 0.041038 0.762771

    Financial 0.005415 0.370752

    Manufacturing 0.053859 0.741733

    Services 0.010945 0.579623

    Note: *, **, ***, denote statistical significance at 1%, 5%, 10% levels.

    4.5 Effects of oil price volatilityIn this section, we assess whether the uncertainty caused by the oil price volatility have

    an impact on the Nigerian stock market. First, we replace the oil price shocks with oil price

    volatility to construct a four-variable VAR (r, vol, ind, srtns) model. Thereafter, we include oil

    price volatility variable together with the real oil price shocks to construct a five-variable VAR

    (r, vol, op, ind, srtns) model. Finally, inflation is also added to the model to examine the

    robustness of the VAR result (r, vol, op, ind, infl, srtns) model. The generalized impulse

    response results of real stock returns are summarized in Table 6. We found that oil price

    volatility have a statistically insignificant negative impact on the stock returns in Nigeria. The

    insignificant negative impact of oil price volatility on the entire stock returns manifest in the fifthperiod except for financial index which manifest in the third period.When oil price shocks and

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    inflation are considered, the response of the stock indices exhibit a similar pattern. So the results

    are robust.

    Table 6: Orthogonalized impulse response results of real stock returns to oil price volatility in

    different VAR modelsAll Sectors Agric Com Fin Man Ser

    Sign of statistically significant effect on real stock returns

    of vol in VAR (r, vol, ind, strns)n n n n n n

    Sign of statistically significant effect on real stock returnsof vol in VAR (r, vol, op, ind, strns)

    n n n n n n

    Sign of statistically significant effect on real stock returns

    of vol in VAR (r, vol, op, ind, inf, strns)n n n n n n

    Notes: p(n) indicates positive (negative) statistically insignificant orthogonalized impulse response to oil price

    shocks.

    4.6 A comparison of oil price and interest rate shocksFinally, we assess the relative importance of oil price and interest rate shocks to real

    stock returns. Forecasting variance decomposition is used to obtain how much of the

    unanticipated change of real stock returns can be explained by the variables over a 10-period

    horizon. Results are shown in Table 7. The real oil price is used in the VAR (r, op, ind, srtns)

    model to get robust results. Following, Cong et al. (2008), we compare the relative importance of

    oil price shocks and interest rate shocks using the definition:

    percentage explained by op

    percentage explained by riR =

    The contribution of the real oil price shock to the real stock returns over the 10 periodranges from 9.77% for agriculture index to 12.39% for the financial index in column 3 of Table .

    The contribution of interest rate also ranges from 0.521% for financial index to 1.910% for the

    agriculture index. The calculated Ri ranges from 5.13 for Agriculture to 31.79 for the financial

    index in column 4 of Table 7. The results of Ri in column 4 of Table 7 showed that oil price

    shocks can explain much more than interest rate in the stock market returns in Nigeria which is

    an indication that oil price shocks represents a significant source of volatility to returns. The

    findings from this study are similar to Sadorsky (1999) and Cong et al. (2008). They found that

    the contribution of oil price shock was greater than that of interest rates on real stock returns, and

    that the relative importance of oil price shocks and interest rates varies across different indices.

    Table 7: Variance decomposition of forecasting error in real stock returns due to oil price shocks and interest rateshocks

    Percentage of variation in real stock returns which can be explained

    by oil price shocks or interest rate shocks

    Due to r Due to op Ri

    Nig. Stock Exchange Composite Index 0.968615 12.39616 12.79782

    Agriculture Index 1.910489 9.791635 5.125198

    Commercial Index 0.959224 11.81903 12.32145

    Financial Index 0.521286 16.57537 31.79707

    Manufacturing Index 1.479874 9.779657 6.608439

    Services Index 1.203963 10.68775 8.877142

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    V Concluding Summary

    In this paper, we focus on the relationships between the oil price and the Nigerian stockmarket between 1995 and 2008 using quarterly series. Empirical evidence reveals that stock

    market returns exhibit positive but insignificant response to oil price shocks but reverts to

    negative effects after a period of time depending on the nature of the oil price shocks. The results

    are similar when other variables are included. Positive but statistically insignificant responses.

    Also, the asymmetric effect of oil price shocks on the Nigerian stock returns indices is not

    supported by statistical evidences. Volatility of oil prices depresses the returns to the stock

    market indices. Finally, the real oil price shocks explains much more than interest rates in stock

    market returns indicating that oil price shocks are a significant source of volatility in the

    Nigerian stock market returns. The relative importance of oil price shocks and interest rates

    however varies across different indices in the Nigerian stock market.

    ReferencesAfshar, T.A, G. Arabian, R. Zomorrodian 2008. Oil Price Shocks and the U.S Stock Market.

    IABR & TLC Conference Proceedings. San Juan, Puerto Rico, USA.

    Akpan, E.O 2009. Oil Price Shocks and Nigerias Macro Economy.

    http://www.csae.ox.ac.uk/conferences/2009-EDiA/papers/252-Akpan.pdf

    Al-Fayoumi, N.A 2009. Oil Prices and Stock Market Returns in Oil Importing Countries: The

    Case of Turkey, Tunisia and Jordan. European Journal of Economics, Finance and

    Administrative Sciences. Issue 16.

    Al-Mudaf, A and T H. Goodwin, 1993. Oil Shocks and Oil Stocks: An Evidence from 1970s.

    Applied Economics, 25, 181-190.

    Arouri M. E and J. Fouquau 2009. On the Short-Term Influence of Oil Price Changes on Stock

    Markets in GCC Countries: Linear And Nonlinear Analyses. Economics Bulletin, AccessEcon,

    vol. 29(2), pages 795-804.

    Barsky, R. B. and L. Kilian 2004. Oil and the Macroeconomy since the 1970s, Journal of

    Economic Perspectives, 18, 115-134.

    Bjrnland, H. 2008. Oil Price Shocks and Stock Market Booms in an Oil Exporting Country,Paper provided byNorges Bankin its series Working Paper with number 2008/16.

    Billmeier, A., and I. Massa 2009. What Drives Stock Market Development in Emerging Markets

    Institutions, Remittances, Or Natural Resources?, Emerging Markets Review, Vol. 10 (1), pp.

    23-35.

    Boyer, M.M. and D. Filion 2007. Common and Fundamental Factors in Stock returns of

    Canadian Oil and Gas Companies,Energy Economics, Vol. 29, No:3, pp.428-453.

    Central Bank of Nigeria 2008. Annual Report and Statement of Accounts. December. Central

    Bank of Nigeria, Abuja, Nigeria.

  • 7/30/2019 17053165

    24/27

    21 | P a g e

    Central Bank of Nigeria 2008. Statistical Bulletin. Volume 14, December. Central Bank ofNigeria, Abuja, Nigeria.

    Chen, N.-F., R. Roll, and S.A. Ross 1986. Economic Forces and the Stock Market.Journal of

    Business, 59, 383-403.

    Choe K.Y. 2002. Differential Impacts of Oil Price Shock on Small vs Large Firms As a Source

    of Real Effect On The Economy, Dissertation Submitted for Ph.D Faculty of Graduate School

    University of Missouri Columbia, August 2002.

    Cong, R-G, Y-M Wei, J-L Jiao, Y. Fan 2008. Relationships between Oil Price Shocks and Stock

    Market: An Empirical Analysis from China.Energy Policy 36 (2008) 3544 3553.

    Dickey, D.A. and W.A. Fuller 1979. Distribution of the Estimators for Autoregressive Time

    Series with a Unit Root.Journal of the American Statistical Association. 74, p. 427431.

    El-Sharif, I., D. Brown, B. Burton, B. Nixon, and A. Russell 2005. Evidence on the Nature and

    Extent of the Relationship between Oil Prices and Equity Values in the UK. Energy Economics

    27, 819-830.

    Erygit, M., (2009). Effects of Oil Price Changes on the Sector Indices of Istanbul Stock

    Exchange.International Research Journal of Finance and Economics, Issue 25.

    Faff, R.W. and T. J Brailsford 1999. Oil Price Risk and The Australian Stock Market. Journal of

    Energy Finance and Development. No: 4, pp.69-87.

    Gjerde ., and F. Saettem 1999. Causal Relations among Stock Returns and Macroeconomic

    Variables in a Small, Open Economy. Journal of International Financial Markets, 9, 61-74.

    Hamilton, J. D. 1983. Oil and the Macroeconomy since World War II. Journal of Political

    Economy, 88: 829853.

    Hamilton, J. D. 2000. What is an Oil Shock? NBER Working Paper 7755. Cambridge, MA:

    National Bureau of Economic Research.

    Hammoudeh, S. and H. Li, 2004. Risk-return Relationships in Oil-sensitive Stock Markets.

    Finance Letters, Vol. 2, No: 3, pp.10-15.

    Hammoudeh, S. and E. Aleisa 2004. Dynamic relationship among GCC Stock Markets and

    NYMEX oil futures. Contemporary Economic Policy, Vol. 22, pp.250269.

    Hondroyiannis, G. and E. Papapetrou 2001. Macroeconomic Influences on the Stock Market.

    Journal of Economics and Finance Vol. 25, No. 1, pp. 33-49.

  • 7/30/2019 17053165

    25/27

    22 | P a g e

    Henriques, I. and P. Sadorsky 2008. Oil Prices and Stock Prices of Alternative Energy

    Companies,Energy Economics, 10(3), 998-1010.

    Hung, R.D, R.W. Masulis, and H.R Stoll 1996. Energy Shocks and Financial Markets,Journal of

    Futures Markets, 16, 1-27

    Ibrahim, M. H. and H. Aziz, (2003) Macroeconomic variables and the Malaysian equity market:

    A view through rolling subsamples,Journal of Economic Studies, Vol. 30 Iss: 1, pp.6 27.

    Jahan-Parvar, M. R. and H. Mohammadi, (2009) Oil prices and competitiveness: time series

    evidence from six oil-producing countries,Journal of Economic Studies, Vol. 36 Iss: 1, pp.98

    118.

    Johansen, S. (1996), Likelihood-Based Inference in Cointegrated Vector AutoregressiveModels,

    2nd ed., Oxford: Oxford University Press.

    Jones, C., and G. Kaul 1996. Oil and the Stock Markets. Journal of Finance, 51, 463-491.

    Jones, D.W., and P.N. Leiby 1996. The Macroeconomic Impacts of Oil Price Shocks: A Review

    of Literature and Issues. Oak Ridge National Laboratory, September.

    Kilian, L and C. Park 2007. The Impact of Oil Price Shocks on the U.S. Stock Market. Paper

    provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number

    6166.

    Kling, J. 1985 Oil PriceShocks andStock MarketBehavior. Journal of Portfolio Management,

    12: (1) 34-39.

    Koop, G., Pesaran, M. H. and S. M. Potter (1996), Impulse Response Analysis in Nonlinear

    Multivariate Models,Journal of Econometrics, 74, 119147.

    Maghyereh, A. 2004. Oil Price Shocks and Emerging Stock Markets :A Generalized VAR

    Approach.International Journal of Applied Econometrics and Quantitative Studies, vol 1-2.

    Mork, K. A. 1989. Oil and the Macroeconomy when Prices go up and down: An Extension ofHamiltons results.Journal of Political Economy 91: 740744.

    Nandha, M. and R. Faff 2008. Does Oil Move Equity Prices? A Global View, Energy

    Economics, Issue: 30, pp.986-997.

    Noordin (2009) Oil Price Shock and Malaysian Sectoral Stock Market Return. Unpublished

    Masters in Business Administartion Thesis, Faculty Business and Accountancy, University of

    Malaya, Malaysia.

    Nwokoma, N.I 2007. Capital Market Performance in Nigerias new Democratic era in Joab-

    Peterside Sofiri and Ukoha Ukiwo (edited) The Travails and Challenges of Democracy in

  • 7/30/2019 17053165

    26/27

    23 | P a g e

    Nigeria, 1999-2003 and BeyondPublished by the Centre for Advanced Social Science (CASS)

    Port Harcourt.

    Nwokoma, N.I 2009. The Development Of The Nigerian Capital Market and the Implications

    For Monetary Policy, 1973 -2008.Paper prepared for presentation at the Special Session on the

    TATOO Debate at the 50th Annual Conference of The Nigerian Economic Society (NES) ,

    September 28 -30, 2009 held at NICON Hotels Abuja, Nigeria.

    Osmundsen, P., K. Mohn, B. Misund, and F. Asche 2007. Is Oil Supply Chocked by Financial

    Market Pressures?,Energy Policy, Vol. 35, Issue: 1, pp.467-478.

    Papapetrou, E. 2001. Oil Price Shocks, Stock Market, Economic Activity and Employment in

    Greece.Energy Economics Vol. 23 (5) September, 511-532.

    Paruolo, P. (1997), Asymptotic Inference on the Moving Average Impact Matrix in

    Cointegrated I(1) Systems,Econometric Theory, 13, 79118.

    Pesaran, M. H. and Y. Shin (1998), Generalized Impulse Response Analysis in Linear

    Multivariate Models,Economics Letters, 58, 1729.

    Park, J. and R. Ratti 2008. Oil Price Shocks and Stock Markets in the U.S. and 13 European

    Countries.Energy Economic, 30 (5), 2587-2608.

    Phillips, P.C.B, and P. Perron 1988. Testing for a Unit Root in Time Series Regressions.Biometrika 75, 335-346.

    Sadorsky, P. 1999. Oil Price Shocks and Stock Market Activity. Energy Economics, 21: 449

    469.

    Sadorsky, P. 2001. Risk Factors in Stock Returns of Canadian Oil and Gas Companies. Energy

    Economics, 23, 17-28.

    Sadorsky, P. 2008. Assessing the Impact of Oil Prices on Firms of Different Sizes: Its Tough

    being in the Middle.Energy Policy, 2008, Vol. 36, issue 10, pages 3854-3861

    Sari, R. and Soytas, U. 2006. Inflation, Stock Returns, and Real Activity: Evidence from a

    High Inflation Country, The Empirical Economics Letters, 4, 181-192.

    Valadkhani, A. and S. Chancharat, (2008) Dynamic linkages between Thai and international

    stock markets, Journal of Economic Studies, Vol. 35 Iss: 5, pp.425 - 441

    Wakeford, J. 2006. The Impact of Oil Price Shocks on the South African Macroeconomy:

    History and Prospects. Accelerated and Shared Growth in South Africa: Determinants,

    Constraints and Opportunities 18 - 20 October 2006. The Birchwood Hotel and Conference

    Centre Johannesburg, South Africa.

    Warne, A. (2008) Generalized Impulse Responses. 2004-2008 Anders Warn

  • 7/30/2019 17053165

    27/27

    Appendix A1: Sectoral Composition of SectorsCategory Components

    Agriculture

    Financial Banking

    Managed Funds

    Insurance

    Other Financial Institutions

    Real Estate Investment Trust

    Manufacturing Breweries

    Building Materials

    Chemical & Paints

    Food, Beverages &Tobacco

    Industrial and Domestic ProductsPackaging

    Healthcare

    Textiles

    Commercial Automobile & Tyres

    Conglomerates

    Commercial Services

    Computer & Office Equipments

    Footwear

    Machinery (Marketing)

    Petroleum (Marketing)

    Services Construction

    Engineering Technology

    Airlines

    Publishing

    Hotel and Tourism

    Real Estate

    Maritime

    Leasing

    Road Transportation

    Aviation

    Information, Communication & Telecommunication

    Media

    Mortgage