SBP Working Paper Series STATE BANK OF PAKISTAN
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Dependent<br />
variable<br />
HPLGDP<br />
HPLLSM<br />
Inflation<br />
Table A3: Granger Causality Results (Quarterly Data)*<br />
Causal Variables<br />
GDP LSM Inflation M0 M1 M2 RM0 RM1 RM2 GM0 GM1 GM2 MMR POLR RMM<br />
R<br />
…<br />
Yes<br />
(L=2)**<br />
No<br />
No No No<br />
…<br />
Yes<br />
(L=2)*<br />
No<br />
Yes<br />
(L=3)*<br />
HPLM0 No No Yes (L=2)* …<br />
HPLM1<br />
HPLM2<br />
Yes<br />
(L=1)***<br />
Yes<br />
(L=1)***<br />
No<br />
Yes<br />
(L=4)*<br />
HPLRM0 No No<br />
HPLRM1<br />
HPLRM2<br />
Yes<br />
(L=1)***<br />
Yes<br />
(L=1)**<br />
No<br />
Yes<br />
(L=4)*<br />
GM0 No No<br />
Yes<br />
(L=4)**<br />
No<br />
Yes<br />
(L=1)**<br />
Yes<br />
(L=2)*<br />
… No No No<br />
No<br />
No<br />
Yes<br />
(L=3)**<br />
Yes (L=2)*<br />
Yes (L=4)*<br />
Yes<br />
(L=2)**<br />
Yes<br />
(L=1)**<br />
No<br />
Yes<br />
(L=4)**<br />
*<br />
Yes<br />
(L=1)*<br />
No<br />
Yes<br />
(L=4)**<br />
*<br />
GM1 No No No No<br />
GM2 No No No No<br />
MMR<br />
Yes<br />
(L=4)***<br />
No<br />
POLR Yes (L=3)* No<br />
RMMR<br />
RPOLR<br />
Yes<br />
(L=1)**<br />
No<br />
Yes<br />
(L=4)***<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=1)*<br />
No<br />
Yes<br />
(L=4)**<br />
…<br />
Yes<br />
(L=1)**<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=2)*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=4)**<br />
*<br />
Yes<br />
(L=2)*<br />
Yes<br />
(L=4)**<br />
*<br />
No<br />
No<br />
No<br />
No<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=1)**<br />
*<br />
Yes<br />
(L=4)***<br />
Yes<br />
(L=3)**<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=4)***<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=2)**<br />
*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=1)**<br />
No<br />
Yes<br />
(L=3)*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=1)*<br />
No<br />
No<br />
Yes<br />
(L=4)*<br />
RPOLR<br />
No<br />
Dependent<br />
Variable<br />
HPLGDP<br />
No No No No No No HPLLSM<br />
No No No No No No No Inflation<br />
No<br />
No No No<br />
… No No No No<br />
No<br />
Yes<br />
(L=2)**<br />
Yes<br />
(L=4)**<br />
*<br />
No<br />
No<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=2)*<br />
Yes<br />
(L=1)*<br />
No No No No No<br />
Yes<br />
(L=2)*<br />
Yes (L=4)* No No No<br />
…<br />
Yes<br />
(L=1)**<br />
*<br />
Yes<br />
(L=4)***<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=4)**<br />
*<br />
… No No<br />
No No … No<br />
Yes<br />
(L=3)**<br />
No<br />
No<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=2)*<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=4)**<br />
No<br />
Yes<br />
(L=4)***<br />
Yes<br />
(L=4)**<br />
No<br />
Yes<br />
(L=4)**<br />
No<br />
…<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=3)*<br />
Yes<br />
(L=1)**<br />
*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=3)**<br />
Yes<br />
(L=1)**<br />
*<br />
Yes<br />
(L=4)**<br />
No No …<br />
Yes<br />
(L=3)**<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=3)**<br />
Yes<br />
(L=3)**<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=4)**<br />
*<br />
No<br />
No<br />
Yes<br />
(L=3)*<br />
Yes (L=2)*<br />
HPLM0<br />
No No No No HPLM1<br />
No No No No HPLM2<br />
No<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=2)*<br />
No<br />
HPLRM0<br />
No No HPLRM1<br />
No No No Yes (L=2)* HPLRM2<br />
No No No<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=4)*<br />
Yes (L=3)*<br />
GM0<br />
No No No No GM1<br />
No No … No No No No GM2<br />
No No No No …<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=2)**<br />
*<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=3)*<br />
No No No No …<br />
No No No No<br />
No No No<br />
Yes<br />
(L=1)*<br />
Yes<br />
(L=4)*<br />
Yes<br />
(L=4)**<br />
Yes<br />
(L=4)*<br />
Yes (L=4)*<br />
Yes<br />
(L=4)**<br />
MMR<br />
POLR<br />
… Yes (L=1)* RMMR<br />
No No … RPOLR<br />
*Null hypothesis: Causal variable does not Granger causes dependent variable. *** p