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Exchange Rate Economics: Theories and Evidence

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Introduction 19<br />

foreign rate adjusted for the expected change in the exchange rate (or to put it<br />

slightly differently international portfolios adjust instantly). On this basis equation<br />

(1.14) may be taken as a representation of perfect capital mobility. Equation (1.12)<br />

may not,however,be taken as a measure of perfect capital mobility since,as we<br />

have seen,bonds may not be regarded as perfect substitutes if risk is important;<br />

that is,there may be a risk premium over <strong>and</strong> above the expected change in the<br />

exchange rate. Other factors,in addition to exchange risk factors,which make<br />

bonds imperfect substitutes are: political risk,default risk,differential tax risk <strong>and</strong><br />

liquidity considerations. Capital may also be imperfectly mobile if portfolios take<br />

time to adjust. The definition of perfect capital mobility used here accords with<br />

the general usage of the term in the international finance literature (see, inter alia,<br />

Fleming 1962; Dornbusch 1976; Frenkel <strong>and</strong> Rodriguez 1982),but contrasts with<br />

the definition given by, inter alia,Dornbusch <strong>and</strong> Krugman (1978) <strong>and</strong> Frankel<br />

(1979). The latter take perfect capital mobility simply to mean the instantaneous<br />

adjustment of portfolios. 10<br />

Since we shall be considering in future chapters circumstances where<br />

capital is less than perfectly mobile,it will prove useful to define a capital flow<br />

function:<br />

CAP = β[i t − i ∗ t − s e t+k − s t],(1.17)<br />

where CAP represents a net capital inflow (capital account surplus) <strong>and</strong> β represents<br />

the speed of adjustment in capital markets. Hence if β =∞capital is perfectly<br />

mobile,since any change in the uncovered interest differential will lead to a potentially<br />

infinite capital movement <strong>and</strong> clearly (1.14) holds continuously. If,however,<br />

β lies between 0 <strong>and</strong> ∞ capital is less than perfectly mobile <strong>and</strong> net yield differentials<br />

are not continuously arbitraged away. With β = 0 capital will clearly be<br />

completely immobile.<br />

Open or uncovered interest parity relates,as we have seen,to international<br />

interest differentials. Closed interest parity,or the Fisher condition,hypothesises<br />

that a country’s nominal interest rate can be decomposed into a real interest rate<br />

plus the expected inflation rate:<br />

i t = r e t + p e t+k ,(1.18)<br />

where rt e is the ex ante real rate of interest,which is often assumed constant,<strong>and</strong><br />

pt+k e is the expected change in the log price level or the expected inflation rate.<br />

These measures of interest parity are nominal in nature (i.e. nominal interest<br />

rates <strong>and</strong> exchange rates). In Chapter 8 we consider the real interest rate parity<br />

condition.<br />

1.8 Some stylised facts about exchange rate behaviour<br />

In this section we consider some stylised facts about exchange rate behaviour. In<br />

particular,we consider the time series properties of the first <strong>and</strong> second moments

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