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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

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