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TESTING INTERNATIONAL PRICE TRANSMISSION UNDER ...

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

these works attempts to take policy regimes into account are limited to the<br />

inclusion of dummy variables, or the sub-division of the sample.<br />

The chapter is structured as follows. In paragraph 5.2, the empirical models are<br />

presented. They are classified in two groups: in paragraph 5.2.1, a composite<br />

variable is introduced; in paragraph 5.2.2, three different ad hoc “threshold”<br />

cointegration models are presented, in which adjustment coefficients and<br />

cointegration parameters are assumed to vary depending on the policy regime in<br />

place. Paragraph 5.3 concludes.<br />

5.2 The empirical models developed<br />

The objective of this paragraph is to find out innovative ways of considering<br />

policy regimes while testing for price transmission and, once this has been made,<br />

to determine whether a long-run relationship exists between the French soft wheat<br />

price (swfr) and the US cif price (hrw).<br />

In this paragraph, different cointegration models are developed. Indeed,<br />

cointegration models allow to explore both short and lung run dynamics. They all<br />

stem from the theoretical framework presented in paragraph 4.3: the basic idea is<br />

that the intervention price acts as a threshold above which the EU and the US<br />

price can interact.<br />

Different ways of modeling such a relation can be figured out.<br />

At first, a composite variable, equal to the maximum between the intervention<br />

and the US price, is introduced in a cointegration model and its relation with the<br />

EU price is studied. This is a straightforward representation of the simple<br />

assumption that “the EU price is expected to follow the maximum between the<br />

intervention and the US price”. The creation of this composite variable is a very<br />

simple way of modeling the policy regime switches: indeed, also in some<br />

econometric models, even if by means of Ordinary Least Squares (OLS)<br />

estimates, the relevant European price is assumed to depend on either the US or<br />

the intervention price depending on which of them is higher.<br />

In a second step, other models are estimated. This time, through the appropriate<br />

use of dummy variables, either the adjustment coefficients or the parameters of<br />

the cointegrating vector, or both, are allowed to vary according to the policy<br />

regime in place. In other words, these parameters are allowed to take different<br />

values if the US or the intervention price is the significant reference price for the<br />

EU.<br />

Firstly, a particular cointegration model is estimated, with different<br />

adjustments coefficients depending on the observable policy regimes in place; the<br />

LOP is imposed between the French price and the highest between the US and the<br />

intervention price. Secondly, the price transmission elasticity is allowed to change<br />

according to which price the French one is related to (always, the highest between<br />

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