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Derivatives

Derivatives. Lecture 14. Exchange Rates. March 22, 2004. Foreign Exchange Markets. Exchange Rate - Amount of one currency needed to purchase one unit of another. Spot Rate of Exchange - Exchange rate for an immediate transaction.

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Derivatives

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  1. Derivatives Lecture 14

  2. Exchange Rates March 22, 2004

  3. Foreign Exchange Markets Exchange Rate - Amount of one currency needed to purchase one unit of another. Spot Rate of Exchange - Exchange rate for an immediate transaction. Forward Exchange Rate - Exchange rate for a forward transaction.

  4. Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9815 peso per dollar and the 1 year forward rate is 11.5775 Peso per dollar, what is the premium and discount relationship?

  5. Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9815 peso per dollar and the 1 year forward rate is 11.5775 Peso per dollar, what is the premium and discount relationship?

  6. Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9815 peso per dollar and the 1 year forward rate is 11.5775 Peso per dollar, what is the premium and discount relationship? Answer - The dollar is selling at a 5.15% premium, relative to the peso. The peso is selling at a 5.15% discount, relative to the dollar.

  7. Exchange Rate Relationships • Basic Relationships equals equals equals equals

  8. Exchange Rate Relationships 1) Interest Rate Parity Theory • The ratio between the risk free interest rates in two different countries is equal to the ratio between the forward and spot exchange rates.

  9. Exchange Rate Relationships Example - You have the opportunity to invest $1,000,000 for one year. All other things being equal, you have the opportunity to obtain a 1 year Mexican bond (in peso) @ 6.7 % or a 1 year US bond (in dollars) @ 1.22%. The spot rate is 10.9815 peso:$1 The 1 year forward rate is 11.5775 peso:$1 Which bond will you prefer and why? Ignore transaction costs

  10. Exchange Rate Relationships Example - You have the opportunity to invest $1,000,000 for one year. All other things being equal, you have the opportunity to obtain a 1 year Mexican bond (in peso) @ 6.7 % or a 1 year US bond (in dollars) @ 1.22%. The spot rate is 10.9815 peso:$1 The 1 year forward rate is 11.5775 peso:$1 Which bond will you prefer and why? Ignore transaction costs Value of US bond = $1,000,000 x 1.0122 = $1,012,200 Value of Mexican bond = $1,000,000 x 10.9815 = 10,981,500 peso exchange 10,981,500 peso x 1.067 = 11,717,261 peso bond pmt 11,717,261 peso / 11.5775 = $1,012,072 exchange

  11. Exchange Rate Relationships 2) Expectations Theory of Exchange Rates Theory that the expected spot exchange rate equals the forward rate.

  12. Exchange Rate Relationships 3) Purchasing Power Parity The expected change in the spot rate equals the expected difference in inflation between the two countries.

  13. Exchange Rate Relationships Example - If inflation in the US is forecasted at 1.5% this year and Mexico is forecasted at 6.5%, what do we know about the expected spot rate? Given a spot rate of 10.9815 peso:$1 solve for Es Es = 11.5225

  14. Exchange Rate Relationships 4) International Fisher effect The expected difference in inflation rates equals the difference in current interest rates. Also called common real interest rates

  15. Exchange Rate Relationships 4) International Fisher effect The expected difference in inflation rates equals the difference in current interest rates. Also called common real interest rates

  16. Exchange Rate Relationships Example - The real interest rate in each country is about the same

  17. Forward Rate vs. Actual Spot Rate Percent error in the one month forward rate for Swiss Franc per US $ compared to actual spot rate

  18. International Prices The Big Mac Index – The price of a Big Mac in different countries (May 29, 2004)

  19. Purchasing Power & Exchange Rates Relative change in exchange rate, percent Relative change in purchasing power, percent

  20. Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / British Pound (in log scale)

  21. Interest Rates and Inflation Countries with the highest interest rates generally have the highest inflation rates. In this diagram each of the 129 points represents a different country. Average money market rate, percent, latest 5 years to 2003 Average inflation rate, percent, latest 5 years to 2003

  22. Exchange Rate Risk Example - Honda builds a new car in Japan for a cost + profit of 1,715,000 yen. At an exchange rate of 120.700Y:$1 the car sells for $14,209 in Indianapolis. If the dollar rises in value, against the yen, to an exchange rate of 134Y:$1, what will be the price of the car? 1,715,000 = $12,799 134 Conversely, if the yen is trading at a forward discount, Japan will experience a decrease in purchasing power.

  23. Exchange Rate Risk Example - Harley Davidson builds a motorcycle for a cost plus profit of $12,000. At an exchange rate of 120.700Y:$1, the motorcycle sells for 1,448,400 yen in Japan. If the dollar rises in value and the exchange rate is 134Y:$1, what will the motorcycle cost in Japan? $12,000 x 134 = 1,608,000 yen

  24. Exchange Rate Risk • Currency Risk can be reduced by using various financial instruments • Currency forward contracts, futures contracts, and even options on these contracts are available to control the risk

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