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Exchange Rate Economics: Theories and Evidence

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The economics of the PPP puzzle 85<br />

significant in each case (since this can be of either sign <strong>and</strong> still be consistent with<br />

pricing to market not regarded as an issue). The interest differential is correctly<br />

signed in each case,but usually only weakly significant. To interpret the remaining<br />

vectors,Feenstra <strong>and</strong> Kendall (1997) sum the first <strong>and</strong> second vector to produce<br />

a relationship without the interest differential (again normalised on the exchange<br />

rate) <strong>and</strong> by summing all three vectors they produce a third relationship which is<br />

absent both the interest differential <strong>and</strong> the average traded goods price.<br />

To gain further insight into the cointegrating relationships Feenstra <strong>and</strong> Kendall<br />

calculate the st<strong>and</strong>ard deviations of the residuals from each of these vectors. The<br />

st<strong>and</strong>ard deviation of the first two vectors is always much smaller than the third <strong>and</strong><br />

a comparison of the residuals from the first <strong>and</strong> second suggest that it is the PTM<br />

term which is producing the reduced st<strong>and</strong>ard deviation. In particular,they show<br />

the PTM term explains about one-sixth of the deviations from PPP for Canada,<strong>and</strong><br />

more than one-third for Japan <strong>and</strong> the UK. The exception is Germany where the<br />

inclusion of the interest differential is crucial in reducing the residual st<strong>and</strong>ard deviation.<br />

Feenstra <strong>and</strong> Kendall further demonstrate that their results are not sensitive<br />

to the choice of the aggregation parameter used to construct the PTM term.<br />

Cheung,Chinn <strong>and</strong> Fujii (1999) seek to explore the consequences of market<br />

structure for the persistence of deviations from PPP. They capture persistence using<br />

the mean reversion coefficient for industry i of country j as:<br />

MRC j i<br />

= 1 + δ.<br />

This is then regressed onto two measures of market structure <strong>and</strong> a number<br />

of macroeconomic variables. The first measure of market structure is the price<br />

cost margin (PCM) which approximates profits of an industry <strong>and</strong> is intended to<br />

give a measure of how competitive an industry is:<br />

PCM j i,t<br />

= V j<br />

i,t − M j<br />

i,t − W j<br />

i,t<br />

V j<br />

i,t<br />

(3.28)<br />

where V is the value of total prod, M is cost of materials <strong>and</strong> W is the wage. The<br />

second measure is the intra-industry trade index (IIT) defined as:<br />

ITT j i,t<br />

≡ 1 − |EXj i,t − IMj i,t |<br />

(EX j i,t + IMj i,t ) (3.29)<br />

where EX <strong>and</strong> IM represent sectoral exports <strong>and</strong> imports. A large value of ITT<br />

represents a high level of market power due to product differentiation.<br />

Using sectoral real exchange rate data (for 9 manufacturing sectors) from 15<br />

OECD countries over the period 1970–93,Cheung et al. show that both market<br />

structure effects are significantly positively related to the mean reversion speed<br />

<strong>and</strong> robust to different specifications; the macro variables are,however,not robust<br />

to different specifications. They also show that industries with high PCMs have<br />

slowest mean reversion.

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