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Empirical Analysis: Cointegration Models, Structural Breaks and Policy Reform<br />

show how the residuals from the overall cointegration relation have a constant<br />

which changes over time, in correspondence to structural breaks. In particular, the<br />

two series have a common patter up to 1993:06, after which the structural breaks<br />

are considered in the error correction term of the VECM estimated by allowing<br />

for a lower constant and an increased price transmission elasticity.<br />

Figure 6.1 Long run residuals of the VECM with structural breaks (EU and WTO policy<br />

regimes, 2001/02 campaign)<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

0<br />

-0,2<br />

-0,4<br />

1978:12<br />

1980:12<br />

1982:12<br />

1984:12<br />

1986:12<br />

1988:12<br />

1990:12<br />

When cointegration is present, we expect IRFs not to always die out: their<br />

effect can be permanent, as the whole system will move to a new long run<br />

equilibrium. Both transitory and permanent shocks can be present (Goodwin et al.<br />

1999, p.168). To calculate orthogonal IRFs, the ordering of the Choleski<br />

decomposition for the VAR reformulated in levels is swfrt, hrwt. This means that,<br />

at time t, the French price depends on only one contemporaneous structural shock,<br />

whereas the US price depends on the two of them. We could interpret the first one<br />

as a shock occurring in the EU market, which affects contemporaneously both the<br />

French and the US price, and the second one as a shock happening on world<br />

markets, which at time t affects the US price only. In other words, we assume that<br />

the US price has no contemporaneous effects on the French price, but lagged<br />

values of the US price have an effect on the French price. The French price has,<br />

instead, a contemporaneous effect on the US one. We see that all IRFs, for a 12<br />

months time horizon, are generally low but different from zero (figure 6.2), with<br />

the exception of the French response to a shock in the US price. Both the French<br />

and the US price response to a shock in themselves tend to be persistent, whereas<br />

the response of each price to a shock in the other price is generally lower and<br />

1992:12<br />

1994:12<br />

1996:12<br />

1998:12<br />

EC 3<br />

residuals 3<br />

2000:12<br />

2002:12<br />

4,2<br />

4<br />

3,8<br />

3,6<br />

3,4<br />

3,2<br />

3<br />

105

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