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ijcrb.webs.com<br />

JUNE 2011<br />

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

taken in million US $. The source of data is annual reports of State Bank of Pakistan (SBP).<br />

To check the impact of total imports, chemicals imports, food imports, machinery impost and<br />

other miscellaneous imports on GDP following models are used.<br />

Model 1:<br />

n<br />

n<br />

GDPt<br />

= ∑ α<br />

iTI<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ µ<br />

1t<br />

i=<br />

1<br />

i=<br />

1<br />

n<br />

n<br />

TI<br />

t<br />

= ∑ α<br />

iTI<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ µ<br />

2t<br />

i=<br />

1<br />

i=<br />

1<br />

Model 2:<br />

n<br />

n<br />

GDPt<br />

= ∑ α<br />

iCHM<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ η1<br />

t<br />

i=<br />

1<br />

i=<br />

1<br />

n<br />

n<br />

CHM<br />

t<br />

= ∑ α<br />

iCHM<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ η<br />

2t<br />

i=<br />

1<br />

i=<br />

1<br />

Model 3:<br />

n<br />

n<br />

GDPt<br />

= ∑ α<br />

i<br />

Ft<br />

−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ λ1<br />

t<br />

i=<br />

1<br />

i=<br />

1<br />

n<br />

n<br />

Ft<br />

= ∑ α<br />

i<br />

Ft<br />

−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ λ2t<br />

i=<br />

1<br />

i=<br />

1<br />

Model 4:<br />

n<br />

n<br />

GDPt<br />

= ∑ α<br />

iMCH<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ ε1<br />

t<br />

i=<br />

1<br />

i=<br />

1<br />

n<br />

n<br />

MCH<br />

t<br />

= ∑ α<br />

iMCH<br />

t−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ ε<br />

2t<br />

i=<br />

1<br />

i=<br />

1<br />

Model 5:<br />

n<br />

n<br />

GDPt<br />

= ∑ α<br />

iMISt−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ ν<br />

1t<br />

i=<br />

1<br />

i=<br />

1<br />

n<br />

n<br />

MISt<br />

= ∑ α<br />

iMISt−i<br />

+ ∑ β<br />

iGDPt<br />

−i<br />

+ ν<br />

2t<br />

i=<br />

1<br />

i=<br />

1<br />

4. Methodology<br />

To study the causal relationship, the well known Ganger causality test has been applied. This<br />

test procedure assumes that the information relevant to the prediction of respective variables<br />

is contained solely in the time series data on the variables. More generally, since the future<br />

cannot predict the past, if variable X (Granger) causes Y, then changes in X should precede<br />

changes in Y (Gujrati, 2004; Granger, 1981; Greene, 2003).<br />

This means if forecast of variable Y using both the lagged values of Y and lagged value of<br />

some other variable X, is superior to forecasts obtained using past values of Y alone, then X<br />

is said to Ganger cause Y. In the same way, if the lagged values of Y can improve the<br />

forecasts of X in the presence of past values of X, then Y is said to Granger cause X.<br />

COPY RIGHT © 2011 Institute of Interdisciplinary Business Research 1719

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