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TESTING INTERNATIONAL PRICE TRANSMISSION UNDER ...

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Empirical Analysis: Cointegration Models Accounting for Policy Regime Changes<br />

∆p α reg z + α ( 1−<br />

reg )z + Γ ∆p + ε<br />

t<br />

= ∑ −<br />

1 t −1<br />

1,t−1<br />

2<br />

t−1<br />

2,t<br />

−1<br />

k 1<br />

i=<br />

1<br />

i<br />

t−i<br />

t<br />

(5.1)<br />

where z1,t-1=(swfrt-1 - hrwt-1) and z2,t-1 = (swfrt-1 - pintt-1).<br />

If hrwt-1 > pintt-1, and then reg 1,<br />

only z1,t-1 is “active”; if hrwt-1 < pintt-1,<br />

1 = t−<br />

and then reg t−1<br />

= 0 , only z2,t-1 is “active”. The LOP will hold between the French<br />

and the highest between the US and the intervention price; adjustment coefficients<br />

are allowed to vary in either case.<br />

Estimates of Model 2 are reported in table 5.7 77 .<br />

α 1<br />

α 2<br />

LM test<br />

ARCH (12)<br />

OV test z 1,t-1, z 2,t-1<br />

Table 5.7 Model 2 estimates<br />

Standard errors are reported in parenthesis<br />

LM: LM test with null hypothesis of no-autocorrelation<br />

OV: Omitted Variable test (χ 2 )<br />

* 10% significance; ** 5% significance; *** 1% significance<br />

-0.013<br />

(0.015)<br />

-0.099***<br />

(0.028)<br />

0.303<br />

(p-value 0.998)<br />

2.265<br />

(p-value 0.999)<br />

15.043<br />

(p-value 0.005)<br />

∆swfr ∆hrw<br />

0.022<br />

(0.017)<br />

-0.025<br />

(0.033)<br />

0.543<br />

(p-value 0.935)<br />

25.818<br />

(p-value 0.018)<br />

The omitted variable test for regt − 1z1,t −1<br />

and ( 1− regt<br />

−1<br />

)z 2,t<br />

−1<br />

rejects the null<br />

hypothesis with a p-value of 0.005. In the French equation, the adjustment<br />

coefficients have the right sign, though only the one to the LOP holding with the<br />

intervention price is significant. As expected, for the French price α 1 < α 2 , i.e. it<br />

responds more quickly to the LOP holding with the intervention price than with<br />

the US price. In the US equation, α1 has the right sign but is not significant, and α2<br />

has a negative sign, which means that it doesn’t correctly adjusts to the<br />

disequilibria of the LOP holding between the French and the intervention price.<br />

Actually, the interpretation of the US adjustment coefficient brings some<br />

problems. In fact, the intervention price is assumed to be a threshold for the US<br />

price; a positive, “correct” (in the conventional VECM interpretation) sign for the<br />

US adjustment coefficient would mean that, when the disequilibrium from the<br />

77 Autocorrelation was removed by adding the 12 th differentiated lag. Monthly dummies were selected with<br />

specification tests.<br />

87

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