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JUNE 2011<br />

INTERDISCIPLINARY JOURNAL OF CONTEMPORARY RESEARCH IN BUSINESS VOL 3, NO 2<br />

the dependent variables, the F-statistics is very low and also the adjusted R-square is close to<br />

zero. So, again it is proved, the unidirectional causality runs from the positive and negative oil<br />

price to the industrial production and the reverse case is insignificant.<br />

5.3.1 Impulse Response Function<br />

The figure 3 shows the responses of industrial production to the negative and positive oil price<br />

shocks. The first part shows the response to the positive oil price shocks. For the first two<br />

periods after the initial positive oil shock the industrial production decreases with the increase in<br />

oil price and then it increases till the third period after the shock. After the third period it again<br />

declines and reaches its minimum in the fifth period. In the sixth and seventh period the response<br />

is a bit increase and then decreased again. Thus going through a number of oscillations the<br />

industrial production converges to its initial level at almost 39 th period after the shock. Again the<br />

impulse response function time path is damped. Since the horizontal line is not touched by the<br />

confidence bands therefore we conclude that the response of industrial production to the positive<br />

oil shock is insignificant.<br />

In the second part of the figure the response of industrial production to the negative oil<br />

shocks is shown. After the initial negative oil shock the industrial production increases for the<br />

first two periods and then decreases for the third period. From third to eighth period after the<br />

negative shock the industrial production increases with the decrease in oil price. Then after some<br />

oscillations it converges to the initial level at 32 nd period. Because the horizontal line is not<br />

touched by the confidence bands therefore we conclude that the response of industrial production<br />

to the negative oil price shock is insignificant. Since the response of the industrial production to<br />

both the negative and positive oil price is insignificant, therefore it is concluded that the<br />

relationship between the oil price and industrial production is linear or symmetric.<br />

[Insert Figure 3 about here.]<br />

5.3.2 Variance Decomposition<br />

The Impulse Response Function gives us a qualitative response of the industrial production to<br />

the shocks in the oil prices. Thus the forecast error variance decomposition is examined to<br />

determine the share of proportion of movements in the series of industrial production that are<br />

due to the shocks in their own series as oppose to the negative and positive shocks in oil prices.<br />

The table 4 shows the forecast error variance decomposition of the industrial production for 12<br />

months periods. Table shows that at the initial period the share of industrial production explained<br />

by its own lag is 100 percent but at later periods it decreases and reaches to 91 percent and at the<br />

end of 12 th period the share of its own shocks in the variation of industrial production becomes<br />

almost 82 percent. However at the end of the 12 th period almost 9 percent shares in the industrial<br />

production are explained by positive oil shocks and 8 percent is explained by the negative oil<br />

shocks. Since the difference in share of industrial production variations by the positive and<br />

negative oil price shocks are not much, therefore we conclude that the relationship between the<br />

oil price and industrial production is linear and symmetric.<br />

5.4 Forecasting and Forecast Evaluation<br />

The forecast are made using the selected ARIMA and VAR models from Dec 2006 to Sep 2008.<br />

Table 5 shows the actual growth rate of index of industrial production and the forecast made by<br />

ARIMA and VAR models. To assess the forecasting ability of a model we 20 observations at the<br />

end of the sample period are retained and are not used to estimate the models. The sample range<br />

from July 1991 to Sep 2008, but the ARIMA and VAR models are estimated for the period July<br />

COPY RIGHT © 2011 Institute of Interdisciplinary Business Research 1542

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