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Exchange Rate Economics: Theories and Evidence

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150 Empirical evidence on the monetary approach<br />

respectively. For all three panels the null hypothesis of no cointegration between<br />

the exchange rate <strong>and</strong> monetary fundamentals is rejected at the 5% level. Mark<br />

<strong>and</strong> Sul then go on to use these panels to construct out-of-sample forecasts <strong>and</strong><br />

this part of their exercise is discussed in more detail in the next section.<br />

6.3.2 Out-of-sample forecasting revisited<br />

The Meese <strong>and</strong> Rogoff (1983) finding has had an enduring impression on the<br />

economics profession. For example,surveying the post-Meese <strong>and</strong> Rogoff literature<br />

Frankel <strong>and</strong> Rose (1995a) argue (emphasis added): ‘the Meese <strong>and</strong> Rogoff<br />

analysis of short horizons [less than 36 months] has never been convincingly<br />

overturned or explained. It continues to exert a pessimistic effect on the field<br />

of empirical exchange rate modeling in particular <strong>and</strong> international finance in<br />

general.’<br />

One potential reason why Meese <strong>and</strong> Rogoff may have been unable to beat<br />

a r<strong>and</strong>om walk is because all but one of their empirical relationships were either<br />

static or had very limited dynamics. However,we know from our discussions of<br />

the PPP proposition,which as we have seen underpins the monetary model,that<br />

exchange rate dynamics tend to be quite complex <strong>and</strong> adjustment to PPP takes<br />

a considerable number of periods. A similar story is true for the money market<br />

relationships which are so central to the monetary model – all of the available<br />

evidence from money dem<strong>and</strong> studies indicates that adjustment to equilibrium is<br />

often quite complex. Clearly,for an empirical exchange rate model to be successful<br />

it should incorporate these kind of dynamics. As we shall now demonstrate,when<br />

these dynamics are accounted for in the estimation process the r<strong>and</strong>om walk model<br />

is convincingly beaten.<br />

One potential reason for the dynamics in the relationships underpinning the<br />

monetary model is structural instability. One way of allowing for such instability<br />

would be to let the coefficients in the reduced-form equation evolve over time <strong>and</strong><br />

this has been done in a number of studies,such as Wolff (1987) <strong>and</strong> Schinasi <strong>and</strong><br />

Swamy (1987). These studies report a consistent outperformance of the r<strong>and</strong>om<br />

walk model at horizons as short as 1 or 2 months.<br />

Another way of addressing the dynamic adjustments underlying (6.1),(6.7) <strong>and</strong><br />

(6.11) is to use a modelling method such as the so-called general-to-specific dynamic<br />

modelling approach proposed by Hendry <strong>and</strong> Mizon (1993) <strong>and</strong> others. Although<br />

in one of their estimated models,Meese <strong>and</strong> Rogoff did allow for rich dynamic<br />

interactions using a VAR,it is likely that such a system is over-parameterised in<br />

terms of its use of information <strong>and</strong> such systems generally do not forecast well.<br />

Interestingly,Meese <strong>and</strong> Rogoff in a footnote cite this as a potential reason for the<br />

poor performance of the VAR-based implementation of the model. The generalto-specific<br />

approach can be used to produce parsimonious VARs or parsimonious<br />

VECM models.<br />

The general-to-specific approach to exchange rate modelling,<strong>and</strong> its implications<br />

for exchange rate forecastability,can be illustrated using the approach of<br />

MacDonald <strong>and</strong> Taylor (1991). In particular,they take the significant cointegrating

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