Chapter 27 Principles of Corporate Finance Tenth Edition Managing International Risks Slides by Matthew Will McGraw-Hill/Irwin Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved. Topics Covered The Foreign Exchange Market Some Basic Relationships Hedging Currency Risk Exchange Risk and International Investment Decisions Political Risk 27-2 27-3 Exchange Rates July 24, 2009 Forward Rate * Spot Rate * 1 Month 3 Months 1 Year Europe EMU (euro) Norway (krone) Sweden (krona) Switzerland (franc) United Kingdom (pound) Americas: Canada (dollar) Mexico (peso) Pacific/ Africa: Hong Kong (dollar) Japan (yen) South Africa (rand) South Korea (won) 1.4201 6.2452 7.4533 1.0723 1.6414 1.4201 6.2502 7.4523 1.0719 1.6413 1.42 6.2603 7.4502 1.0711 1.6411 1.4207 6.3007 7.4313 1.0643 1.6396 1.0808 13.2155 1.0807 13.2705 1.0804 13.3805 1.0801 13.8891 7.7501 94.705 7.784 1249.55 7.748 94.678 7.833 1249.1 7.7437 94.6161 7.9263 1247.65 7.7311 94.087 8.3283 1241.05 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. 27-4 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 13.2155 peso per dollar and the 3 month forward rate is 13.3805 Peso per dollar, what is the premium and discount relationship? 27-5 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 13.2155 peso per dollar and the 3 month forward rate is 13.3805 Peso per dollar, what is the premium and discount relationship? Spot Price T - 1 = Premium or (-Discount ) Forward Price 4 13.2155 - 1 = -1.20% 13.3805 27-6 Foreign Exchange Markets Forward Premiums and Forward Discounts Example - The Peso spot price is 13.2155 peso per dollar and the 3 month forward rate is 13.3805 Peso per dollar, what is the premium and discount relationship? Answer - The dollar is selling at a 1.20% premium, relative to the peso. The peso is selling at a 1.20% discount, relative to the dollar. 27-7 Exchange Rates Example Swiss franc spot price is SF 1.0723 per $1 Swiss franc 1 yr forward price is SF 1.0643 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 94.705 per $1 The Japanese 1 yr fwd price is 94.087 per $1 27-8 Exchange Rates Example What is the franc premium (annualized)? Spot Price T - 1 = Premium or (-Discount ) Forward Price 1.0723 1 - 1 = 0.75% 1.0643 Example What is the Yen discount (annualized)? T Spot Price - 1 = Premium or (-Discount ) Forward Price 94.705 1 - 1 = 0.66% 94.087 27-9 Exchange Rate Relationships Basic Relationships 1 + rforeign 1 + r$ 1 + i foreign equals equals equals E(sforeign / $) f foreign / $ S foreign / $ 1 + i$ equals S foreign / $ 27-10 Exchange Rate Relationships 1) Interest Rate Parity Theory 1 + rforeign 1 + r$ = f foreign / $ S foreign / $ The ratio between the risk free interest rates in two different countries is equal to the ratio between the forward and spot exchange rates. 27-11 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) @ 6.67 % or a 1 year US bond (in dollars) @ 1.505%. The spot rate is 13.2155 peso:$1 The 1 year forward rate is 13.8891 peso:$1 Which bond will you prefer and why? Ignore transaction costs 27-12 Exchange Rate Relationships 27-13 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) @ 6.67 % or a 1 year US bond (in dollars) @ 1.505%. The spot rate is 13.2155 peso:$1 The 1 year forward rate is 13.8891 peso:$1. Which bond will you prefer and why? Ignore transaction costs Value of US bond = $1,000,000 x 1.0150 = $1,015,000 Value of Mexican bond = $1,000,000 x 13.2155 = 13,215,500 peso exchange 13,215,500 peso x 1.0667 = 14,096,974 peso bond pmt 14,096,974 peso / 13.8891= $1,014,967 exchange Exchange Rate Relationships 2) Expectations Theory of Exchange Rates f foreign / $ S foreign / $ = E(sforeign / $) S foreign / $ Theory that the expected spot exchange rate equals the forward rate. 27-14 Exchange Rate Relationships 3) Purchasing Power Parity 1 + i foreign 1 + i$ = E(sforeign / $) S foreign / $ The expected change in the spot rate equals the expected difference in inflation between the two countries. 27-15 Exchange Rate Relationships Example - If inflation in the US is forecasted at 1.0% this year and Mexico is forecasted at 6.0%, what do we know about the expected spot rate? Given a spot rate of 13.2155 peso:$1 1 + i foreign 1 + i$ = E(sforeign/$) S foreign/$ 1 .060 E(sforeign/$ ) = 1 + .010 13.2155 solve for Es Es = 13.87 27-16 Exchange Rate Relationships 4) International Fisher effect 1 + rforeign 1 + r$ = 1 + i foreign 1 + i$ The expected difference in inflation rates equals the difference in current interest rates. Also called common real interest rates 27-17 Exchange Rate Relationships Example - The real interest rate in each country is about the same r (real ) 1 + rforeign 1 + i foreign 1.0667 = - 1 = .006 1.060 1 + r$ 1.015 r (real ) = - 1 = .005 1 + i $ 1.010 27-18 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) @ 6.0% or a 1 year US loan (in dollars) @ 6.8%. The spot rate is 1.0723 sf:$1 The 1 year forward rate is 1.0643 sf:$1 Which loan will you prefer and why? Ignore transaction costs Cost of US loan = $100,000 x 1.068 = $106,800 Cost of Swiss Loan = $100,000 x 1.0723 = 107,230 sf exchange 107,230 sf x 1.06 = 113,664 sf loan pmt 113,664 sf / 1.0643 = $106,797 If the two loans created a different result, arbitrage exists! exchange 27-19 Exchange Rates % Forecast Error in Forward Rate for Swiss Francs 40.0% 30.0% 20.0% 10.0% 0.0% -10.0% -20.0% -30.0% -40.0% -50.0% Source: Global Financial Data 27-20 27-21 International Prices The Big Mac Index – The price of a Big Mac in different countries (July 16, 2009) Country Canada China Denmark Euro area Japan Mexico Local Price Converted to U.S. Dollars Country Local Price Converted to U.S. Dollars 3.35 1.83 5.53 4.62 3.46 2.39 Philippines Russia South Africa Switzerland United Kingdom United States 2.05 2.04 2.17 5.98 3.69 3.57 27-22 Purchasing Power & Exchange Rates 25.00 Relative change in exchange rate, % 20.00 15.00 10.00 5.00 0.00 -5.00 -10.00 -15.00 Turkey -25.00 USA -20.00 -20.00 -15.00 -10.00 -5.00 -25.00 0.00 5.00 10.00 Relative change in purchasing power, % 15.00 20.00 25.00 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / UK (in log scale) 27-23 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / France (in log scale) 27-24 Exchange Rates Nominal versus Real Exchange Rates U.S. Dollar / Italy (in log scale) 27-25 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. Average money market rate, %, 2000-08 40 35 30 25 Turkey 20 15 10 5 0 -5 Japan -5 -10 0 5 10 15 20 Average inflation rate, %, 2000-08 25 30 27-26 Auto Industry Data 2003 Home Country Europe North America Japan Other Panel A: Sales % Ford GM Hyundai Honda Isuzu Mazda Mitsubishi Nissan Suzuki Toyota Fiat BMW DaimlerChrysler Volkswagen Peugeot Renault United States United States South Korea Japan Japan Japan Japan Japan Japan Japan Italy Germany Germany Germany France France 30.30% 20.2 17.5 7.5 1.8 23.5 14.5 18.8 14.2 13.2 80.1 64.6 28.4 62.9 92.8 90.6 62.30% 67.6 31.1 54.8 14 34.6 22.8 40.2 4.5 32.8 0 30.6 68.4 13.4 0.5 0.8 0.00% 0 0 25.6 27.8 29.7 37.1 31.5 41.9 36.8 0 0 0 0 0 0 7.40% 12.2 51.4 12.1 56.4 12.2 25.7 9.5 39.4 17.2 19.8 4.9 3.2 23.7 6.7 8.6 Panel B: Production % Ford GM Hyundai Honda Isuzu Mazda Mitsubishi Nissan Suzuki Toyota Fiat BMW DaimlerChrysler Volkswagen Peugeot Renault United States United States South Korea Japan Japan Japan Japan Japan Japan Japan Italy Germany Germany Germany France France 35.20% 24.2 1.3 6.7 1 0 6 15.3 6.7 6.9 79.4 80.3 34.6 68.1 94.3 95.7 56.10% 64.5 0 43.2 7.2 16.9 10.7 27.8 0.5 18.8 0 14.8 63 5.8 0 0.8 0.00% 0 0 40.2 56.2 80.2 64.6 51.5 59.3 62.6 0 0 0 0 0 0 8.70% 11.3 98.7 9.9 35.6 2.9 18.6 5.4 33.5 11.6 20.6 4.9 2.4 26.1 5.7 3.6 27-27 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 94.705Y:$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 = $18,109 94.705 Conversely, if the yen is trading at a forward discount, Japan will experience a decrease in purchasing power. 27-28 Exchange Rate Risk Example - Harley Davidson builds a motorcycle for a cost plus profit of $12,000. At an exchange rate of 94.705Y:$1, the motorcycle sells for 1,136,460 yen in Japan. If the dollar rises in value and the exchange rate is 103Y:$1, what will the motorcycle cost in Japan? $12,000 x 103 = 1,236,000 yen 27-29 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 27-30 Capital Budgeting Techniques 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. 27-31 27-32 Example Suppose that the Swiss pharmaceutical company, Roche, is evaluating a proposal to build a new plant in the United States. To calculate the project’s net present value, Roche forecasts the following dollar cash flows from the project. The US cost of capital is 12% and the spot exchange rate is 1.2sf / 1 $ . What is the project value in US dollars and Swiss francs? year 0 1 2 3 4 5 -1300 400 450 510 575 650 NPV ($) = $ 513 million NPV (sf) = $513 x 1.2 (sf/$) = 616 sf million 27-33 Example Suppose that the Swiss pharmaceutical company, Roche, is evaluating a proposal to build a new plant in the United States. To calculate the project’s net present value, Roche forecasts the following dollar cash flows from the project. The US cost of capital is 12% and the spot exchange rate is 1.2sf / 1 $ . What are the forward rates in each year, if risk free rates are US = 6% and Swiss = 4%? year A: 0 1 2 3 4 5 -1300 400 450 510 575 650 (Ff/$) = ( 1 + rf )t solve for Ff/$ ( 1 + r$ )t Sf/$ year Ff/$ 0 1.2 1 2 3 4 5 1.177 1.155 1.133 1.112 1.091 27-34 Example Suppose that the Swiss pharmaceutical company, Roche, is evaluating a proposal to build a new plant in the United States. To calculate the project’s net present value, Roche forecasts the following dollar cash flows from the project. The US cost of capital is 12% and the spot exchange rate is 1.2sf / 1 $ . What are the cash flows in each year, given the forward rates? year 0 1 2 3 4 5 -1300 400 450 510 575 650 1 2 3 4 5 A: CFf = (Ff/$) x CF$ year 0 CF$ -1300 400 450 510 575 650 Ff/$ 1.2 1.177 1.155 1.133 1.112 1.091 CFf -1560 471 520 578 639 709 Example Suppose that the Swiss pharmaceutical company, Roche, is evaluating a proposal to build a new plant in the United States. To calculate the project’s net present value, Roche forecasts the following dollar cash flows from the project. The US cost of capital is 12% and the spot exchange rate is 1.2sf / 1 $ . What is the NPV of the project in Swiss francs? A: 1+ franc return = ( 1 + rf ) solve for Franc return 1+dollar return Franc return = 9.9% NPV (sf) = 616 sf ( 1 + r$ ) 27-35 27-36 Political Risk A Maximium 12 Finland 9.5 Sweden 7.5 Switzerland 9.0 Australia 10.0 Germany 10.0 Singapore 11.0 United Kingdom 8.0 France 9.5 Japan 6.5 United States 6.0 China, Peoples' Rep. 11.0 Russian Federation. 11.5 Brazil 8.5 Turkey 9.0 India 6.0 Pakistan 4.0 Somalia 5.5 B 12 9.5 9.0 10.5 10.5 8.0 9.5 9.5 8.0 8.0 8.0 9.0 7.0 6.0 6.5 5.5 5.0 0.0 A = Govt stability B = Socioeonmic conditions C = Investment profile D = Internal conflict E = External conflict F = Corruption C 12 12.0 12.0 12.0 12.0 12.0 12.0 12.0 12.0 11.5 12.0 7.0 9.5 7.5 8.0 8.5 7.5 2.0 D 12 11.0 11.5 12.0 10.0 11.0 10.5 9.5 10.0 10.5 10.0 10.0 8.0 10.0 8.0 6.5 5.5 4.0 E 12 11.5 11.0 11.0 9.5 10.5 10.5 7.0 10.0 9.5 7.0 10.0 8.5 10.5 7.5 10.0 8.5 4.0 F G 6 6.0 5.0 4.5 4.5 5.0 4.5 4.0 5.0 3.0 4.0 2.5 2.0 2.0 2.5 2.5 2.0 1.0 G = Military in politics H = Religious tensions I = Law and order J = Ethnic tensions K = Democratic accountability L = Bureaucracy quality H 6 6.0 5.5 6.0 6.0 6.0 5.0 6.0 5.5 5.0 4.0 3.0 4.5 4.0 2.0 4.0 1.0 1.0 I 6 6.0 6.0 4.5 6.0 5.0 4.5 6.0 4.0 5.5 5.5 5.0 5.5 6.0 4.5 2.5 1.0 3.0 J 6 6.0 6.0 5.0 5.5 5.0 5.0 5.5 5.0 5.0 5.0 4.5 4.0 2.0 4.5 4.0 3.0 0.5 K 6 6.0 5.0 4.0 4.0 4.0 6.0 4.0 2.5 5.5 5.0 4.5 3.0 3.0 2.5 2.5 1.0 2.0 as of January 2008 L 6 6.0 6.0 6.0 6.0 6.0 2.0 6.0 6.0 5.0 6.0 1.5 2.5 5.0 5.0 6.0 1.0 1.0 Total 4 4.0 4.0 4.0 4.0 4.0 4.0 4.0 3.0 4.0 4.0 2.0 1.0 2.0 2.0 3.0 2.0 0.0 100 93.5 88.5 88.5 88.0 86.5 84.5 81.5 80.5 79.0 76.5 70.0 67.0 66.5 62.0 61.0 41.5 24.0 Web Resources Click to access web sites Internet connection required 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 27-37