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

Model 1a was then estimated for swfr e wref, that are once again cointegrated:<br />

estimates are reported in table 5.4 71 .<br />

α<br />

LM test<br />

ARCH(13)<br />

Table 5.4 Model 1a estimates for swfr and wref , 1978:12-1993:06<br />

∆swfr ∆wref Cointegration vector<br />

-0.211***<br />

(0.074)<br />

0.430<br />

(p-value 0.978)<br />

34.030<br />

(p-value 0.001)<br />

0.210***<br />

(0.052)<br />

0.293<br />

(p-value 0.998)<br />

25.881<br />

(p-value 0.018)<br />

swfr = 0.<br />

679+<br />

0.<br />

848*<br />

* * wref<br />

t<br />

( 0.<br />

643)<br />

( 0.<br />

124)<br />

cost = 0 χ2 = 0.758 (p-value 0.384)<br />

βwref = 1 χ2 = 0.990 (p-value 0.320)<br />

βwref = 0 χ2 = 18.738 (p-value 0)<br />

Standard errors are reported in parenthesis<br />

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

*significant at 10%; **significant at 5%; *** significant at 1% for the null hypothesis of zero coefficients (#, ##<br />

and ### respectively if for βwref the null hypothesis of equal to one is rejected)<br />

The long run relationship is swfrt = 0.679 + 0.848 wreft. Like in the overall<br />

sample, both adjustment coefficients have the expected sign and are significant,<br />

though here they are higher in magnitude. Restrictions imposing both a perfect<br />

price transmission and a zero-constant are not rejected (respectively, χ 2 = 0.990;<br />

p-value 0.320; χ 2 = 0.758; p-value 0.384).<br />

In the first sub-sample, the relation between the French price and the<br />

combination between the US and the intervention price presents a stronger<br />

adherence to the LOP than when the US price enters the equation as such. This is<br />

somehow expected, provided the predominance of the intervention price in the<br />

wref series.<br />

Finally, the analysis was repeated in the sub-sample 1993:07-2003:12 (Model<br />

1b). Differently from the observations preceding the MacSharry reform, as<br />

expected wref is this time constituted almost exclusively by the US price, which is<br />

below the intervention price only 17 months over 126 (13% of the total number of<br />

observations). This basically happens because the MacSharry reform implemented<br />

a substantial reduction of the intervention prices.<br />

For the French and the US price, there is evidence of cointegration among the<br />

series 72 . The Model 1b estimates are reported in table 5.5.<br />

71 The optimal number of lags selected by the AIC was 13 lags; 1 if monthly dummies were considered. One<br />

lag only did not allow to remove autocorrelation; the VECM was then estimated with 13 lags.<br />

72 The cointegration rank was 1 when 23 lags and seasonal dummies were considered. Since 23 lags seems<br />

however an overestimated number, the cointegration rank was checked also with 13 lags. In this case, the<br />

series are cointegrated if the null hypothesis is rejected at 10% significance, always with the inclusion of all<br />

the monthly dummies; the latter estimates are reported. See annex C.<br />

t<br />

83

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