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International Financial Markets: Exchange Rates, Interest Rates and Inflation Rates
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Exchange Rates Price of a unit of one currency in terms of another; e.g. £/$, €/$ People care about what a currency can bring in terms of goods & services or a rate of return How one currency trades against another depends on how each trades against goods and services or financial instruments
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Parity Relationships In equilibrium, the same product or financial instrument should cost the same (in terms of a given currency) in any country Otherwise, there is an incentive to trade How strong are the barriers to trade?
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Purchasing Power Parity (PPP) S 0, the spot exchange rate, is measured as €/$ If the same good sells for P $ in the U.S. and P euro in Europe, then in equilibrium:
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Checking PPP for the Big Mac Suppose the spot exchange rate is.7569 €/$ In Paris, you can buy a Big Mac for €2.84, the equivalent of $3.75 However, a Big Mac in NYC costs $3.00 Let’s take a trip The secret to arbitrage: do it big
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Paris To-Do List 1.Borrow €1 billion (@2.08375% annualized rate per day) 2.Convert to €1bil/.7569 = $1,321,178,491 3.Board plane to NYC
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NYC To-Do List 1.Rent fleet of 18- wheelers 2.Buy $1,321,178,491/3.00 = 440,392,830 Big Macs 3.Return to airport and board cargo planes to Paris
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Paris Return To-Do List 1.Sell 440,392,830 Big Macs @ €2.84: €1,250,715,637 2.Pay bank €1,000,114,181 (principal plus int.) 3.End day, tired but happy with €250,601,456 (=$331,089.253.50)
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Relative PPP If transaction costs prevent $ prices for every single good from being equated across countries, maybe the average $ price of a general market basket of goods will be equated
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Relative PPP and Expected Exchange Rates Expected depreciation of ¥ relative to $ is related to amount by which Japanese inflation rate exceed that in U.S.
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General Relative PPP Over Time
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Interest Rate Parity (IRP) F 1 is the one-period forward exchange rate (say, £/$) If IRP doesn’t hold there is a relatively easy and low- cost arbitrage opportunity
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Arbitrage Opportunity Ability to buy and sell perfect substitutes at different prices in 2 markets Earn profit with no risk and without putting up any of your own money Arbitrage opportunities will be driven out in an efficient capital market
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General IRP Over Time Suppose F t = E(S t ); e.g., assume forward rates are unbiased predictors of future spot rates Combine IRP with PPP
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IRP + Relative PPP Relation between nominal interest rates in different countries and their relative inflation rates Cross-multiply (1+R US ) t and (1+h UK ) t
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International Fisher Effect In equilibrium, real interest rates tend to be equated across countries
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International Capital Budgeting: Home Currency Approach Translate all foreign cash flows into $ using spot and expected future exchange rates; discount at $ discount rate S 0 and E(S t ) measured as for. curr./$
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International Capital Budgeting: Foreign Currency Approach Discount foreign currency (FC) cash flows at FC discount rate to find FC in FC terms Translate the result into $ using the spot exchange rate
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The Role of Interest Rate Parity If IRP holds, the relationship between R FC and R $ is given by:
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Equivalence of the Two Approaches
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