Bulletin of Monetary Economics and Banking, Vol. 22, No. 2 (2019), pp. 163 - 176
REAL OUTPUT AND OIL PRICE UNCERTAINTY
IN AN
Bernard Njindan Iyke1
1Centre for Financial Econometrics, Deakin University, Melbourne, Australia. Email: bernard@deakin.edu.au
ABSTRACT
We assess the effects of oil price uncertainty on Nigeria’s real output from the first quarter of 1980 to the first quarter of 2019. We achieve this objective by decomposing oil price uncertainty into positive and negative uncertainties. We then quantify the responses of output to these uncertainties. Using the conditional variance of real returns in composite refiners’ acquisition cost of crude oil as our measure of oil price uncertainty, we find that positive uncertainty leads to a decline in output, whereas negative uncertainty leads to a rise in output. The response of output to these uncertainties is asymmetric.
Keywords: Oil price uncertainty; Real output;
JEL Classification: E23; E32.
Article history: |
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Received |
: February 20, 2019 |
Revised |
: June 15, 2019 |
Accepted |
: June 24, 2019 |
Available online : July 31, 2019
https://doi.org/10.21098/bemp.v22i2.1095
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I. INTRODUCTION
We assess the effects of oil price uncertainty on the real output of Nigeria, an oil- producing country. Unexpected changes in oil prices introduce another source of concern for all countries, especially since such changes have become pronounced in recent years (Chuku et al., 2011). Oil, hydroelectric power, and natural gas are the main sources of energy and thus count among the core drivers of the real economy. Hence, volatility in oil prices is a major issue for policymakers. Elder and Serletis (2010) elaborate on the theoretical transmission channels of real oil price shocks to the rest of the economy. They note that real oil price shocks transmit directly to real balances and monetary policy. An increase in oil prices leads to a rise in the overall price level and then to a drop in the real money balance held by households and firms, which, in turn, depresses aggregate demand. In addition, changes in oil prices induce income transfer. For example, if oil prices increase, incomes are transferred from
Nigeria is an
Prior to the 1970s, oil prices were quite stable. In the 1970s, conversely, oil prices experienced a rapid increase, rising from their previous levels of about $40 per barrel to slightly above $100 per barrel. At the turn of the 1980s, these prices dropped to nearly $20 per barrel and persisted at this level until around 2001 (Hamilton, 2009). Oil prices started rising faster toward the peak of the recent housing market bubble in the United States (i.e., around 2006) and reached an all- time high of $145 per barrel during the peak of the recent financial crisis (Hamilton, 2009). The volatility and sharp rises in oil prices have reignited the literature on the role of oil prices in the real economy. This literature dates far back to seminal papers such as those of Hamilton (1983, 1988), Mork (1989), Lee et al. (1995), and Hooker (1996). These studies have generally found an inverse relation between oil price shocks and the real economy, and thus provide comprehensive policy insights; see also Narayan et al. (2014) and Narayan and Sharma (2011).
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Recently, these findings have been corroborated by, for example, Hooker (2002), who finds positive oil price shocks drove up US core inflation rates, depressing productivity before 1981; Barsky and Kilian (2004); and Edelstein and Kilian (2009), who find similar evidence. In particular, Barsky and Kilian (2004), and Edelstein and Kilian (2009) find that oil price shocks significantly affect the real economy through a supply channel by increasing the cost of production, which then reduces production. Later, Hamilton (2009) also finds this to be the case, with oil price shocks exerting a negative and significant impact on the US economy.
Other studies find that, apart from oil price changes, oil price volatility does not bode well with the real economy. For example, Elder and Serletis (2010) find oil price uncertainty to affect the US economy negatively and significantly. They analyze the real options and investment model, by looking at consumption patterns under the uncertainty of future returns, and find oil price volatility to reduce some components of aggregate investment. Their finding is generally consistent with real options theory, which argues that firms can delay or even abandon their investments in an environment, whereby future returns become increasingly uncertain as the degree of uncertainty amplifies. This view is shared by older studies, such as those of Bernanke (1983) and Pindyck (1991), and a study by Lee et al. (2011), who assess the effects of oil price shocks on firms’ investment decisions in the US manufacturing sector. Lee et al. (2011) find firm stock price volatility alongside future oil price uncertainty to negatively affect firms’ investment decisions for at least the first and second years after the initial shock.
A number of studies have investigated the effects of oil price shocks on various macroeconomic variables in the case of Nigeria. For example, Ayadi et al. (2000) examine the impact of the energy (or oil) sector on the Nigerian economy, including the financial markets, using standard vector autoregression (VAR) and find the energy sector exerts significant influence on the economy. In addition, Ayadi (2005) analyzes the relation between oil price changes and economic development via industrial production with standard VAR and finds that an increase in oil prices does not lead to an increase in industrial production in Nigeria. Recent studies have revisited the issue. For example, Chuku et al. (2011) assess the relation between oil price shocks and current account dynamics in Nigeria using a standard VAR and find oil price shocks to have a significant
The major limitation of these studies is that they fail to account for the observed volatility in oil prices, and therefore neglect an important transmission channel. Our paper can be seen as an important improvement on these studies. In particular, our paper is an extension of studies on oil price shocks and the real economy. It is closely related to the work of Elder and Serletis (2010), who examine the role of oil price uncertainty in the real economy for the United States. Unlike their study, however, we consider an
The majority of studies tend to examine the effects of oil price shocks on the real economy within
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price volatility (or any kind of volatility, for that matter), which is said to have amplified since the early 1970s. Historical events suggest that particular time series, such as those of oil prices, exhibit different volatilities and, more frequently than not,
Our paper addresses this issue by using a model that accounts for reverse causality, as well as volatility/uncertainty in oil prices. Our model decomposes oil price uncertainty into two components, positive and negative uncertainties. The model’s key property is that it allows us to explore differences in oil price uncertainties. That is, we are able to estimate and observe whether oil price uncertainties have symmetric effects. This improvement is particularly useful to policymakers, because the standard VAR simulates the response of the real economy to oil price
The remainder of the paper is organized as follows. Section II presents our model. Section III describes the data and the empirical results. Section IV concludes the paper.
II. MODEL SPECIFICATION
A. VAR Model of Oil Price Uncertainty and Output
We analyze the impact of oil price uncertainty on output using the following VAR model:
(1)
where Xt represents an n×1 vector containing the output and measures of oil price uncertainty, βi is an n×n parameter to be estimated, ut denotes an error term whose
We identify oil price shocks through the error term ut. The practical way of identifying these shocks remains a debatable topic. Suppose that we normalize ut into vt (i.e., E[vt vt’ ]=In). Then a matrix A exists such that ut=Avt. The jth column of A is the instant effect of the jth innovation on all the variables. The innovation is one standard error in size (Iyke, 2018; Juhro and Iyke, 2019). The matrix A is restricted such that we have the
Real Output and Oil Price Uncertainty in an |
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(2)
This equation implies that
B. Computing Positive and Negative Oil Price Uncertainties
We compute the indicator of oil price uncertainty using the GARCH model (Iyke and Ho, 2018a). Specifically, we estimate the variance of the first difference of the logarithm of real oil price,
(3)
where opr is oil price returns, which is stationary by construction; τ is the mean value of oil price returns; τ0 and τ1 are parameters of the model; and εt is the error term with zero mean and a conditional variance of known form σt2, which is the measure of oil price uncertainty. The functional form of σt2 is modeled as
(4)
where , α1, and β1 are parameters of the model.
We compute increases (positive changes) and decreases (negative changes) in oil price uncertainty by decomposing oil price uncertainty into positive and negative partial sums as follows (see Iyke and Ho, 2018b)
(5)
where oput+ and oput- are, respectively, the partial sums of the positive and negative changes in opu, oil price uncertainty. They are defined formally as
(6)
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III. DATA AND EMPIRICAL RESULTS
We measure the price of oil as the composite refiners’ acquisition cost of crude oil, which is compiled by the US Department of Energy. This measure is calculated as the weighted average of domestic and imported crude oil costs, including transportation and other fees paid by refiners. This price index therefore measures the price of crude oil as an input to production. Since this price index takes into account the cost of imported oil, it measures oil prices more broadly than domestic price measures, such as the West Texas Intermediate crude oil price, which is the price paid to US producers (Elder and Serletis, 2010).
We arrive at our final measure for the real oil price by deflating the RAC of crude oil by the US gross domestic product (GDP) deflator, which is available from the website of the Federal Reserve Bank of St Louis. We measure the real output by the real GDP. The data on real GDP are obtained from the Central Bank of Nigeria. The original data are in the local currency (i.e., naira). We convert these figures from naira to US dollars by multiplying the real GDP (in naira) by the
Our sample begins in the first quarter of 1980 and ends in the first quarter of 2019 (i.e.,
We begin by testing for the stationary properties of real oil prices and real output using two tests: the
Table 1.
Tests for Stationarity
The table shows the results of the PP and
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Panel A: Level |
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Variable |
Intercept |
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Intercept and Trend |
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PP |
PP |
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Real Oil Price |
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Real Output |
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Panel B: First difference |
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Intercept |
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Intercept and Trend |
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PP |
PP |
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Real Oil Price |
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Real Output |
NA |
Real Output and Oil Price Uncertainty in an |
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Figure 1. Real Oil Price and Real Output
This figure shows plots of the variables in their levels, as well as their first differences. The first differences are necessary since the variables are not stationary. By construction, the first differences represent real oil price growth/ returns and real output growth. The sample period is 1980:01 to 2019:01.
Real Oil Price (in USD)
1.0 |
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0.8 |
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0.6 |
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0.4 |
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0.2 |
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1980 |
1980 |
2000 |
2010 |
2020 |
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Real Output (in USD) |
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12 |
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10 |
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8 |
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6 |
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1980 |
1990 |
2000 |
2010 |
2020 |
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Figure 1. Real Oil Price and Real Output (Continued)
Real Oil Price Growth
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1980 |
1990 |
2000 |
2010 |
2020 |
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Real Output Growth |
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0.6 |
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0.6 |
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1980 |
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2000 |
2010 |
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In addition to the stationarity tests, we perform lag selection tests. This allows us to include the appropriate lags in our model. The lag selection is based on the final prediction error, the Akaike information criterion, the Schwarz information criterion, and the
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Table 2.
Lag Length Selection
The table shows the results of the lag selection tests. LR, LogL, FPE, AIC, SIC, and HQ are, respectively, the sequential modified Likelihood Ratio test statistic (each test at 5% level),
Lag |
LogL |
LR |
FPE |
AIC |
SC |
HQ |
0 |
NA |
2.92E+17 |
48.729 |
48.790 |
48.754 |
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1 |
1437.411 |
1.42E+13 |
38.800 |
39.044 |
38.899 |
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2 |
23.450 |
1.36E+13 |
38.755 |
39.182 |
38.928 |
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3 |
26.191 |
1.27E+13 |
38.686 |
39.296 |
38.934 |
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4 |
77.293 |
8.07E+12 |
38.232 |
39.025* |
38.554* |
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5 |
17.492* |
7.99E+12* |
38.221* |
39.197 |
38.617 |
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6 |
7.672 |
8.52E+12 |
38.283 |
39.443 |
38.754 |
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7 |
8.724 |
9.01E+12 |
38.336 |
39.678 |
38.881 |
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8 |
7.257 |
9.62E+12 |
38.399 |
39.924 |
39.019 |
Because the variables in our model could be cointegrated, we proceed to test for cointegration. We apply Johansen cointegration tests after restricting the number of lags to four. The results are reported in Table 3. Using both the trace and the maximum eigenvalue tests, we see that the variables are cointegrated. Specifically, there are at most two cointegration relations. This implies that, if output and oil prices diverge due to a sudden oil price or output shock, they tend to converge in the long run, because a common force is pulling them toward a common path.
Table 3.
Test for Cointegration
The table reports the results of the Johansen’s
Hypothesized
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Panel A: Trace test |
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No. of CE(s) |
Eigenvalue |
Statistic |
Critical Value |
Prob.** |
None * |
0.264 |
70.249 |
29.797 |
0.000 |
At most 1 * |
0.129 |
24.314 |
15.495 |
0.002 |
At most 2 |
0.023 |
3.567 |
3.841 |
0.059 |
Panel B:
None * |
0.264 |
45.935 |
21.132 |
0.000 |
At most 1 * |
0.129 |
20.747 |
14.265 |
0.004 |
At most 2 |
0.023 |
3.567 |
3.841 |
0.059 |
Since the variables are cointegrated, equation (1) will not account for the short- run deviation of variables from equilibrium. Hence, we proceed by converting equation (1) into a vector error correction model. Because we are only concerned with the reaction of output to oil price uncertainty, we report only the real output
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equation. Table 4 shows the estimated error correction model for real output. Note that a maximum of four lags is included in the model. We see that positive oil price uncertainty (i.e., positive changes in uncertainty) has a negative impact on real output, while negative oil price uncertainty (negative changes in uncertainty) has a positive impact. The error correction term is negative and statistically significant, which suggests convergence. That is, 37% of the deviation of the output and oil price from equilibrium is corrected each quarter.
Table 4.
Estimates of The Error Correction Model
The table reports the estimates of a vector error correction model (VECM) version of Equation (1). Standard errors and
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Lags |
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Variable |
1 |
2 |
3 |
4 |
∆ Real Output |
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(0.105) |
(0.101) |
(0.099) |
(0.088) |
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∆ Positive Real Oil Price Uncertainty |
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(0.002) |
(0.002) |
(0.002) |
(0.002) |
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∆ Negative Real Oil Price Uncertainty |
0.010 |
0.021 |
0.009 |
0.005 |
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(0.007) |
(0.007) |
(0.007) |
(0.007) |
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[ 1.398] |
[ 2.948] |
[ 1.343] |
[0.786] |
Error Correction Term |
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(0.101) |
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Adjusted |
0.545 |
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While the estimated error correction model above suggests that oil price uncertainties have an asymmetric impact on output, the picture is still unclear. We therefore proceed to generate the impulse responses following shocks to positive and negative oil price uncertainties (i.e., positive and negative changes in oil price uncertainty).
Aside from imposing lower triangularity on A in the fashion outlined in equation (2), we obtain our impulse response functions (IRFs) using 1,000 Markov chain Monte Carlo draws, a horizon of 10 quarters ahead, and four lags. The shock is one standard error in size, which confines the IRFs to the 16% and the 84% quantiles. The IRFs are displayed in Figure 2.
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Figure 2. Impulse Responses of Real Output to Positive and
Negative Oil Price Uncertainties
The figure shows the impulse responses obtained from our model. We imposed lower triangularity on A in a fashion outlined in Equation (2). The impulse responses are generated based on 1000 Markov Chain Monte Carlo (MCMC) draws, a horizon of
Response to Positive Oil Price Uncertainty
Response |
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Horizon
Response to Negative Oil Price Uncertainty
Response |
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Horizon |
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A positive (negative) oil price shock, which leads to a sudden rise (fall) in oil price uncertainty, has a significant and immediate impact on real output. Sudden positive changes in oil price uncertainty lead to a fall in real output of 8% from baseline by the third quarter. Real output climbs back to its baseline during the fourth quarter and then rises above it by 4% in the fifth quarter ahead. Real output then falls by 3% below its baseline in the seventh quarter. Beyond this point, the impact of the shock is not substantial. The impact disappears by the 10th quarter (see Figure 2).
By contrast, sudden negative changes in oil price uncertainty lead to a rise in real output, up to the third quarter. That is, real output increases by 6% at the end of the third quarter. Real output then declines to its baseline and below by the fourth quarter. The impact of the oil price shock (i.e., one that affects negative changes in oil price uncertainty) disappears by the sixth quarter.
Generally speaking, since the response of real output to a positive uncertainty is not a mirror image of the response to negative uncertainty, we can conclude that the impacts are asymmetric. We carry out a robustness check of our results by converting the series into domestic currency, the naira. The
IV. CONCLUSION
In this paper, we assessed the effects of oil price uncertainty on the real output in Nigeria during the period
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REFERENCES
Ayadi, O.F. (2005). Oil Price Fluctuations and the Nigerian economy. OPEC Energy Review, 29,
Ayadi, O. F., Chatterjee, A., and Obi, C. P. (2000). A Vector Autoregressive Analysis of an
Barsky, R.B., and Kilian, L. (2004). Oil and the Macroeconomy since the 1970s. Journal of Economic Perspectives, 18,
Bernanke, B.S. (1983). Irreversibility, Uncertainty, and Cyclical Investment. Quarterly Journal of Economics, 98,
Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31,
Chuku, C.A., Akpan, U.F., Sam, N.R., and Effiong, E.L. (2011). Oil price shocks and the dynamics of current account balances in Nigeria. OPEC Energy Review, 35,
Edelstein, P., and Kilian, L. (2009). How Sensitive Are Consumer Expenditures to Retail Energy Prices? Journal of Monetary Economics, 56,
Elder, J., Serletis, A. (2010). Oil Price Uncertainty. Journal of Money, Credit and Banking, 42,
Fama, E.F. (1965). The Behavior of Stock Market Prices. Journal of Business, 38, 34– 105.
Hamilton, J.D. (1983). Oil and the Macroeconomy since World War II. Journal of Political Economy, 91,
Hamilton, J.D. (1988). A Neoclassical Model of Unemployment and The Business Cycle. Journal of Political Economy, 96,
Hamilton, J.D. (2009). Causes and Consequences of the Oil Shock of
Hooker, M.A. (1996). What Happened to the Oil
Hooker, M.A. (2002). Are Oil Shocks Inflationary? Asymmetric and Nonlinear Specifications Versus Changes in Regime. Journal of Money, Credit and Banking, 34,
Iwayemi, A., and Fowowe, B. (2011). Impact of Oil Price Shocks on Selected Macroeconomic Variables in Nigeria. Energy Policy, 39,
Iyke, B. N. (2018). Assessing the Effects of Housing Market Shocks on Output: The Case of South Africa. Studies in Economics and Finance, 35(2),
Iyke, B. N., & Ho, S. Y. (2018a). Real Exchange Rate Volatility and Domestic Consumption in Ghana. The Journal of Risk Finance, 19(5),
Iyke, B. N., & Ho, S. Y. (2018b). Nonlinear Effects of Exchange Rate Changes on the South African Bilateral Trade Balance. The Journal of International Trade & Economic Development, 27,
Juhro, S. M., & Iyke, B. N. (2019). Monetary Policy and Financial Conditions in Indonesia. Buletin Ekonomi Moneter dan Perbankan, 21,
Lee, K., Shawn, N., Ratti, R.A. (1995). Oil shocks and the macroeconomy: the role of price variability. Energy Journal, 16,
Lee, K., Kang, W., Ratti, R.A. (2011). Oil Price Shocks, Firm Uncertainty, and Investment. Macroeconomic Dynamics, 15 (3),
176 |
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Mork, K.A., (1989). Oil and the macroeconomy. When Prices Go Up and Down: An Extension of Hamilton’s Results. Journal of Political Economy, 97,
Narayan, P.K., Sharma, S., Poon, W.C., and Westerlund, J. (2014) Do Oil Prices Predict Economic Growth? New Global Evidence. Energy Economics, 41, 137- 146.
Narayan, P.K., and Sharma, S.S. (2011) New Evidence on Oil Price and Firm Returns. Journal of Banking and Finance, 35,
Pindyck, R.H. (1991). Irreversibility, Uncertainty, and Investment. Journal of Economic Literature, 29,