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Chapter 28 Principles PrinciplesofCorporateFinance Ninth Edition Managing International Risks Slides by Matthew Will Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved McGraw Hill/Irwin
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28- 2 Topics Covered Foreign Exchange Markets Some Basic Relationships Hedging Currency Risk Exchange Risk and International Investment Decisions Political Risk
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28- 3 Exchange Rates April 16, 2007
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28- 4 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.
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28- 5 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9892 peso per dollar and the 3 month forward rate is 11.0408 Peso per dollar, what is the premium and discount relationship?
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28- 6 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9892 peso per dollar and the 3 month forward rate is 11.0408 Peso per dollar, what is the premium and discount relationship?
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28- 7 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 10.9892 peso per dollar and the 3 month forward rate is 11.0408 Peso per dollar, what is the premium and discount relationship? Answer - The dollar is selling at a 1.90% premium, relative to the peso. The peso is selling at a 1.90% discount, relative to the dollar.
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28- 8 Exchange Rates Example SF Swiss franc spot price is SF 1.4457 per $1 SF Swiss franc 6 mt forward price is SF 1.4282 per $1 The franc is selling at a Forward Premium The Dollar is selling at a Forward Discount This means that the market expects the dollar to get weaker, relative to the franc Example (premium? discount?) The Japanese Yen spot price is 101.18 per $1 The Japanese 6mt fwd price is 103.52 per $1
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28- 9 Exchange Rates Example What is the franc premium (annualized)? franc Premium = 2 x ( 1.4457 - 1.4282) = 2.45% 1.4282 Dollar Discount = 2.45% Example What is the Yen discount (annualized)? Yen Discount = 2 x ( 103.52 - 101.18) = 4.26% 103.52 Dollar Premium = 4.26%
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28- 10 Exchange Rate Relationships Basic Relationships equals
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28- 11 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.
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28- 12 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) @ 7.35 % or a 1 year US bond (in dollars) @ 5.05%. The spot rate is 10.9892 peso:$1 The 1 year forward rate is 11.2274 peso:$1 Which bond will you prefer and why? Ignore transaction costs
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28- 13 Value of US bond = $1,000,000 x 1.0122 = $1,050,500 Value of Mexican bond = $1,000,000 x 10.9892 = 10,989,200 peso exchange 10,989,200 peso x 1.0735 = 11,796,906 peso bond pmt 11,796,906 peso / 11.2274= $1,050,725 exchange 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) @ 7.35 % or a 1 year US bond (in dollars) @ 5.05%. The spot rate is 10.9892 peso:$1 The 1 year forward rate is 11.2274 peso:$1 Which bond will you prefer and why? Ignore transaction costs
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28- 14 Exchange Rate Relationships 2) Expectations Theory of Exchange Rates Theory that the expected spot exchange rate equals the forward rate.
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28- 15 Exchange Rate Relationships 3) Purchasing Power Parity The expected change in the spot rate equals the expected difference in inflation between the two countries.
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28- 16 Exchange Rate Relationships Example - If inflation in the US is forecasted at 2.5% this year and Mexico is forecasted at 4.5%, what do we know about the expected spot rate? Given a spot rate of 10.9892 peso:$1 solve for Es Es = 11.204
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28- 17 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
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28- 18 Exchange Rate Relationships Example - The real interest rate in each country is about the same
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28- 19 Exchange Rates Another Example You are doing a project in Switzerland which has an initial cost of $100,000. All other things being equal, you have the opportunity to obtain a 1 year Swiss loan (in francs) @ 8.0% or a 1 year US loan (in dollars) @ 10%. The spot rate is 1.4457sf:$1 The 1 year forward rate is 1.4194sf:$1 Which loan will you prefer and why? Ignore transaction costs Cost of US loan = $100,000 x 1.10 = $110,000 Cost of Swiss Loan = $100,000 x 1.4457 = 144,570 sf exchange 144,570 sf x 1.08 = 156,135 sf loan pmt 156,135 sf / 1.4194 = $110,000exchange If the two loans created a different result, arbitrage exists!
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28- 20 Exchange Rates Swiss Example Given a spot rate of sf:$ 1.4457:$1 Given a 1yr fwd rate of 1.4194:$1 If inflation in the US is forecasted at 4.5% this year, what do we know about the forecasted inflation rate in Switzerland? E (S f/$ ) = E ( 1 + i f ) S f/$ E ( 1 + i $ ) solve for i 1.4194 = E( 1 + i) i =.026 or 2.6% 1.4457 1 +.045
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28- 21 Exchange Rates Swiss Example In the previous examples, show the equilibrium of interest rates and inflation rates 1 + r f = 1.08 =.9818 1 + r $ 1.10 E ( 1 + i f ) = 1.026 =.9818 E ( 1 + i $ ) 1.045
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28- 22 Forward Rate vs. Actual Spot Rate Percent error in the one month forward rate for Swiss Franc per US $ compared to actual spot rate
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28- 23 International Prices The Big Mac Index – The price of a Big Mac in different countries (Feb 1, 2007)
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28- 24 Purchasing Power & Exchange Rates
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28- 25 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / UK (in log scale)
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28- 26 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / France (in log scale)
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28- 27 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / Italy (in log scale)
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28- 28 Interest Rates and Inflation Countries with the highest interest rates generally have the highest inflation rates. In this diagram each of the 55 points represents a different country.
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28- 29 Auto Industry Data 2003
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28- 30 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.
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28- 31 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
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28- 32 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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28- 33 Capital Budgeting 1) Exchange to $ and analyze 2) Discount using foreign cash flows and interest rates, then exchange to $. 3) Choose a currency standard ($) and hedge all non dollar CF. Techniques
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28- 34 Example Outland Corporation is building a plant in Holland to produce reindeer repellant to sell in that country. The plant is expected to produce a cash flow (in guilders,000s) as follows. The US risk free rate is 8%, the Dutch rate is 9%. US inflation is forecasted at 5% per year and the current spot rate is 2.0g:$1. year 12345 400450510575650 Q: What are the 1, 2, 3, 4, 5 year forward rates? A: E (S f/$ ) = E ( 1 + i f ) t solve for E(S) S f/$ E ( 1 + i $ ) t E(S) 2.022.042.062.082.10
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28- 35 Example Outland Corporation is building a plant in Holland to produce reindeer repellant to sell in that country. The plant is expected to produce a cash flow (in guilders,000s) as follows. The US risk free rate is 8%, the Dutch rate is 9%. US inflation is forecasted at 5% per year and the current spot rate is 2.0g:$1. year 12345 400450510575650 Q: Convert the CF to $ using the forward rates. 12345 CFg 400450510575650 E(S)2.022.042.062.082.10 CF$198221248276310
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28- 36 Example Outland Corporation is building a plant in Holland to produce reindeer repellant to sell in that country. The plant is expected to produce a cash flow (in guilders,000s) as follows. The US risk free rate is 8%, the Dutch rate is 9%. US inflation is forecasted at 5% per year and the current spot rate is 2.0g:$1. year 12345 400450510575650 What is the PV of the project in dollars at a risk premium of 7.4%? $ discount rate = 1.08 x 1.074 = 1.16 PV = $794,000
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28- 37 Example Outland Corporation is building a plant in Holland to produce reindeer repellant to sell in that country. The plant is expected to produce a cash flow (in guilders,000s) as follows. The US risk free rate is 8%, the Dutch rate is 9%. US inflation is forecasted at 5% per year and the current spot rate is 2.0g:$1. year 12345 400450510575650 What is the PV of the project in guilders at a risk premium of 7.4%? Convert to dollars. $ discount rate = 1.09 x 1.074 = 1.171 PV = 1,588,000 guilders exchanged at 2.0:$1 = $794,000
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28- 38 Political Risk
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28- 39 Web Resources www.oecd.org www.bankofengland.co.uk www.ecb.int www.oanda.com www.x-rates.com www.emgmkts.com www.securities.com www.prsgroup.com Click to access web sites Internet connection required
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