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Business finance : theory and practice

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Chapter 15 • International aspects of business <strong>finance</strong><br />

If real interest rates are equal in all countries, then:<br />

‘<br />

1 + r nh 1 + i<br />

= nh<br />

1 + r nf 1 + i nf<br />

where r nh is the nominal (or money) interest rate in the home country, r nf is the nominal<br />

(or money) interest rate in the foreign country, i nh is the rate of inflation in the home<br />

country <strong>and</strong> i nf is the rate of inflation in the foreign country.<br />

Shapiro <strong>and</strong> Balbirer (2000) also show that, while this relationship seemed not to be<br />

precisely as the model suggests, countries with high nominal interest rates tended to<br />

have high levels of inflation.<br />

International Fisher effect<br />

The international Fisher effect combines the underlying principles of the general<br />

Fisher effect <strong>and</strong> PPP. Fisher implies that interest rates will move to take account of<br />

inflation rates:<br />

1 + r nh 1 + i<br />

= nh<br />

1 + r nf 1 + i nf<br />

PPP implies that exchange rates move in response to differences in inflation rates (see<br />

equation (15.1)):<br />

e 1<br />

e 0<br />

1 + i<br />

= h<br />

1 + i f<br />

Since the interest rates referred to in the PPP model are nominal rates, putting<br />

Fisher <strong>and</strong> PPP together we have:<br />

e 1<br />

e 0<br />

1 + r<br />

= nh<br />

1 + r nf<br />

The international Fisher effect therefore implies that the exchange rate is, in <strong>theory</strong>,<br />

directly linked to nominal interest rates.<br />

Again Shapiro <strong>and</strong> Balbirer (2000) show that this relationship is a broadly correct<br />

approximation to reality.<br />

Interest rate parity<br />

As we saw earlier in this section, there are two bases on which we can buy or sell foreign<br />

currencies. We can trade for immediate delivery of the currency, when we shall<br />

be trading at a ‘spot’ rate of exchange. Alternatively, we can buy or sell the currency<br />

under a forward contract. Here, delivery will take place on some specified date in the<br />

future, but the exchange rate at which the transaction is effected is set now. Naturally,<br />

the ‘forward’ rate will be linked closely to the spot rate. In <strong>theory</strong>, were the nominal<br />

interest rates the same, in the countries of both currencies, the spot <strong>and</strong> forward rates<br />

would be the same. Remember that nominal interest rates reflect both real interest<br />

rates <strong>and</strong> the rate of inflation.<br />

416

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