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Exchange Rate Economics: Theories and Evidence

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Real exchange rate determination 207<br />

Relatedly,Johansen <strong>and</strong> Juselius (1990) <strong>and</strong> MacDonald <strong>and</strong> Marsh (1997) find<br />

that when PPP is tested jointly with UIP,again using Johansen methods,strong<br />

evidence of cointegration is found (up to two significant vectors) which is evidence<br />

supportive of a relationship between real exchange rates <strong>and</strong> real interest rates.<br />

MacDonald <strong>and</strong> Nagayasu (2000) use the panel cointegration methods of<br />

Pedroni to test the constant real equilibrium exchange rate variant of real interest<br />

rate parity. A panel of 14 industrialised countries relative to the US is used for the<br />

period 1976–97. Clear evidence in favour of the constant equilibrium variant of<br />

the RERI model is reported,in the sense of the existence of a cointegrating relationship<br />

<strong>and</strong> estimated slope coefficients which are in conformity with the model<br />

(are inversely related to maturity yield of the underlying bonds). Using a different<br />

panel approach Chortareas <strong>and</strong> Driver (2001),however,find no evidence of a<br />

long-run relationship in the context of a panel data set.<br />

A number of researchers allow ¯q t to systematically change over time in response<br />

to, inter alia,productivity effects,fiscal imbalances,net foreign asset accumulation<br />

<strong>and</strong> terms of trade effects. The theoretical justification for the inclusion of these<br />

kinds of variables is taken from the kind of model discussed in Section 8.1. As in<br />

the estimates of the constant equilibrium variant of the model,the estimator used<br />

is important in determining the RERI link. Using the Engle–Granger two-step<br />

estimator,Meese <strong>and</strong> Rogoff (1988),Edison <strong>and</strong> Pauls (1993) <strong>and</strong> Coughlin <strong>and</strong><br />

Koedjik (1990) fail to find any evidence of cointegration. For example,Coughlin<br />

<strong>and</strong> Koedjik (1990) sequentially regress the real exchange rate on the various<br />

c<strong>and</strong>idates noted above <strong>and</strong> find no evidence of a cointegrating relationship for six<br />

bilateral real exchange rates. In contrast,using multivariate cointegration methods,<br />

Meese <strong>and</strong> Rogoff (1988) also find no evidence of cointegration <strong>and</strong>,additionally,<br />

confirm that their celebrated dictum that nominal exchange rate models cannot<br />

outperform a r<strong>and</strong>om walk,also holds for real rates.<br />

In contrast to the above,Throop (1992),Edison <strong>and</strong> Melick (1995),MacDonald<br />

(1997) <strong>and</strong> Clark <strong>and</strong> MacDonald (1998) find clear evidence of cointegration in<br />

RERI relationships which allow ¯q t to systematically vary over time. For example,<br />

Throop (1992) uses both a two-step estimator <strong>and</strong> a dynamic error correction<br />

model,over the period 1982 quarter 1 to 1990 quarter 3,to reveal significant<br />

evidence of cointegration in systems containing the effective US dollar,<strong>and</strong> the<br />

US bilaterals of the yen,the mark <strong>and</strong> the pound sterling. Interestingly,the US<br />

effective is shown to dominate a r<strong>and</strong>om walk,in an out-of-sample forecasting<br />

contest,at horizons of one to eight quarters; however,the evidence for bilaterals<br />

is more mixed – in one-half of the horizons it is able to beat a r<strong>and</strong>om walk. Using<br />

the multivariate cointegration methods of Johansen (1995),Edison <strong>and</strong> Melick<br />

(1995) find some evidence of cointegration between real interest rates <strong>and</strong> bilateral<br />

real exchange rates,although they demonstrate that the cointegration result arises<br />

from the stationarity of the real interest differential. MacDonald (1997) also uses<br />

the Johansen cointegration estimation method <strong>and</strong> produces clear evidence of<br />

a significant cointegrating relationship for the effective rates of the mark,yen<br />

<strong>and</strong> dollar. Furthermore,these are shown to produce dynamic real exchange rate<br />

models capable of outperforming a r<strong>and</strong>om walk at horizons as short as 2 quarters.

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