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Exchange Rate Economics: Theories and Evidence

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Notes 401<br />

3 These results are from MacDonald <strong>and</strong> Taylor (1993).<br />

4 Relative prices appear here since this approach allows for deviations from PPP.<br />

5 Note that this relationship has the constraint that money enters in real terms imposed,<br />

a constraint which is not rejected for this data set.<br />

6 Notice that in these sub systems the Fisher conditions are not ‘pure’ Fisher conditions in<br />

the sense that the coefficient on the interest rate term is not minus unity. However,in<br />

the gross,or overall,system these coefficients can be restricted to minus one.<br />

7 The dynamic one-step-ahead out-of-sample forecasts for each of the equations in the<br />

La Cour <strong>and</strong> MacDonald system performed impressively since only 5 (out of 168) of the<br />

forecasted values lie outside the 95% confidence intervals (none lay outside the b<strong>and</strong>s<br />

in the exchange rate equation) <strong>and</strong> the directional ability of the forecasts also proved<br />

to be extremely good. The formal one-step-ahead restrictions test for the restricted<br />

VECM model (which takes account of the variance of the estimated parameters <strong>and</strong><br />

their correlation) had a p-value of approximately 0.5.<br />

8 Alternatively,we could work with a vector error correction model consisting of the vector<br />

[x t , s t , ζ t ] ′ ,but information contained in this vector is preserved in a bivariate<br />

VAR of [x t , ζ t ] ′ or [s t , ζ t ] ′ .<br />

9 Flood <strong>and</strong> Rose (1999) conduct a similar exercise using the change in the exchange rate<br />

<strong>and</strong> the composite monetary variable as the key variables.<br />

7 Currencysubstitution models <strong>and</strong> the portfolio balance<br />

approach to the exchange rate<br />

1 Girton <strong>and</strong> Roper (1981),were the first to introduce the term currency substitution.<br />

2 Such currencies are assumed to be non-interest-bearing.<br />

3 In practice agents will hold a portfolio of money <strong>and</strong> non-money assets. We<br />

shall leave inclusion of the latter in a theory of exchange rate determination until<br />

Chapter 8.<br />

4 For example,Laney et al. (1984),argue that in 1981 US foreign currency holdings<br />

amounted to US$3 billion,whereas total narrowly defined money amounted to<br />

over US$400 billion. For a further discussion of the empirical evidence on CS see<br />

Chapter 9.<br />

5 McKinnon (1982,p. 327).<br />

6 Underlying the assumption that ṁ e is equal to ṡ e is a further assumption that expected<br />

income growth is equal to zero. This type of assumption has been termed monetary<br />

super-neutrality by Artis <strong>and</strong> Currie (1981).<br />

7 Equation (7.14) is a condition for asset market equilibrium because via the wealth<br />

identity,(7.12),only one of equations (7.13) <strong>and</strong> (7.13 ′ ) can be independent.<br />

8 Kouri (1976),considers other shocks,such as a tax-financed increase in government<br />

expenditure <strong>and</strong> the dynamics of adjustment from short-run equilibrium to the steady<br />

state under expectational schemes.<br />

9 A once-<strong>and</strong>-for-all increase in the price level,unaccompanied by a monetary expansion,<br />

results in a proportionate increase in the exchange rate <strong>and</strong> price level.<br />

10 The empirical relevance of the CS concept will be discussed in Section 7.5.<br />

11 Strictly speaking the asset dem<strong>and</strong> equations (7.38) to (7.40),should be real dem<strong>and</strong>s <strong>and</strong><br />

equation (7.37) should be real wealth,but the assumed homogeneity of asset dem<strong>and</strong>s<br />

to wealth ensures that the price deflator drops out.<br />

12 For simplicity we assume that the government taxes all domestic residents’ interest<br />

earnings on domestic bonds.<br />

13 Notice that this definition of the price level differs from that used in the MF model since<br />

the exchange rate enters directly. This assumption has important implications for the<br />

results in this chapter.<br />

14 Examples of portfolio balance models in which expectations are assumed rational are<br />

Dornbusch <strong>and</strong> Fischer (1980); Branson (1983) <strong>and</strong> Branson <strong>and</strong> Buiter (1983).

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