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McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
International Corporate Finance
Chapter 20
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Key Concepts and Skills
 Understand how exchange rates are quoted and what
they mean
 Know the difference between spot and forward rates
 Understand purchasing power parity and interest rate
parity and the implications for changes in exchange
rates
 Understand the basics of international capital
budgeting
 Understand the impact of political risk on
international business investing
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter Outline
20.1 Terminology
20.2 Foreign Exchange Markets and Exchange Rates
20.3 Purchasing Power Parity
20.4 Interest Rate Parity, Unbiased Forward Rates, and
the International Fisher Effect
20.5 International Capital Budgeting
20.6 Exchange Rate Risk
20.7 Political Risk
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.1 Terminology
 American Depository Receipt (ADR): a security issued in the
U.S. to represent shares of a foreign stock
 Cross rate: the exchange rate between two foreign currencies,
e.g., the exchange rate between £ and ¥
 Euro (€): the single currency of the European Monetary
Union which was adopted by 11 Member States on 1 January
1999. These member states were: Belgium, Germany, Spain,
France, Ireland, Italy, Luxemburg, Finland, Austria, Portugal
and the Netherlands
 Eurobonds: bonds denominated in a particular currency and
issued simultaneously in the bond markets of several
countries
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Terminology
 Eurocurrency: money deposited in a financial center
outside the home country. Eurodollars are dollar
deposits held outside the U.S.; Euroyen are yen
denominated deposits held outside Japan.
 Foreign bonds: bonds issued in another nation’s
capital market by a foreign borrower
 Gilts: British and Irish government securities
 LIBOR: the London Interbank Offer Rate is the rate
most international banks charge one another for
loans of Eurodollars overnight in the London market
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.2 Foreign Exchange Markets and
Exchange Rates
 Without a doubt, the foreign exchange market is the
world’s largest financial market.
 In this market, one country’s currency is traded for
another’s.
 Most of the trading takes place in a few currencies:
 U.S. dollar ($)
 British pound sterling (£)
 Japanese yen (¥)
 Euro (€)
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
FOREX Market Participants
 The FOREX market is a two-tiered market:
 Interbank Market (Wholesale)
 About 700 banks worldwide stand ready to make a
market in Foreign exchange.
 Nonbank dealers account for about 20% of the market.
 There are FX brokers who match buy and sell orders but
do not carry inventory and FX specialists.
 Client Market (Retail)
 Market participants include international banks,
their customers, nonbank dealers, FOREX
brokers, and central banks.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Exchange Rates
 The price of one country’s currency in terms of
another.
 Most currency is quoted in terms of dollars.
 Consider the following quote:
 Euro 1.3170 .7593
 The first number (1.3170) is how many U.S. dollars it
takes to buy 1 Euro
 The second number (.7593) is how many Euros it takes
to buy $1
 The two numbers are reciprocals of each other
(1/1.3170 = .7593)
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Example
 Suppose you have $10,000. Based on the rates in
Figure 20.1, how many Swiss Francs can you buy?
 Exchange rate = 1.2146 Francs per dollar
 Buy 10,000(1.2146) = 12,146 Francs
 Suppose you are visiting Bombay and you want to
buy a souvenir that costs 1,000 Indian Rupees. How
much does it cost in U.S. dollars?
 Exchange rate = 43.384 rupees per dollar
 Cost = 1,000 / 43.384 = $23.05
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Cross Rates
 Suppose that SDM(0) = .50
 i.e., $1 = 2 DM in the spot market
 and that S¥(0) = 100
 i.e., $1 = ¥100
 What must the DM/¥ cross rate be?
,
$
¥
$
¥
since
DM
DM


¥50
DM1
or
.02
)
0
(
¥50
1
1
$
2
¥100
1
$
¥
¥
/ 






DM
S
DM
DM
DM
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Triangular Arbitrage
$
£
¥
Credit
Lyonnais
S£(0) = 1.50
Credit Agricole
S¥/£(0) = 85
Barclays
S¥(0) = 120
Suppose we
observe these
banks posting
these exchange
rates.
First calculate the
implied cross
rates to see if an
arbitrage exists.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Triangular Arbitrage
$
£
¥
Credit
Lyonnais
S£(0) = 1.50
Credit Agricole
S¥/£(0) = 85
Barclays
S¥(0) = 120
The implied S(¥/£) cross rate is S(¥/£) = 80
Credit Agricole has
posted a quote of
S(¥/£)=85, so there
is an arbitrage
opportunity.
So, how can we make money?
£1.50
$1
×
$1
¥120
=
£1
¥80
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Triangular Arbitrage
$
£
¥
Credit
Lyonnais
S£(0) = 1.50
Credit Agricole
S¥/£(0) = 85
Barclays
S¥(0) =120
As easy as 1 – 2 – 3:
1. Sell our $ for £,
2. Sell our £ for ¥,
3. Sell those ¥ for $.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Triangular Arbitrage
Sell $100,000 for £ at S£(0) = 1.50
receive £150,000
Sell our £ 150,000 for ¥ at S¥/£(0) = 85
receive ¥12,750,000
Sell ¥ 12,750,000 for $ at S¥(0) = 120
receive $106,250
profit per round trip = $ 106,250 – $100,000 = $6,250
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Types of Transactions
 Spot trade – exchange currency immediately
 Spot rate – the exchange rate for an immediate trade
 Forward trade – agree today to exchange currency at
some future date and some specified price (also
called a forward contract)
 Forward rate – the exchange rate specified in the
forward contract
 If the forward rate is higher than the spot rate, the
foreign currency is selling at a premium (when quoted
as $ equivalents).
 If the forward rate is lower than the spot rate, the
foreign currency is selling at a discount.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.3 Absolute Purchasing Power Parity
 Price of an item is the same regardless of the
currency used to purchase it.
 Requirements for absolute PPP to hold:
 Transaction costs are zero
 No barriers to trade (no taxes, tariffs, etc.)
 No difference in the commodity between locations
 For most goods, Absolute PPP rarely holds in
practice.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Relative Purchasing Power Parity
 Provides information about what causes
changes in exchange rates.
 The basic result is that exchange rates depend
on relative inflation between countries:
 E(St ) = S0[1 + (hFC – hUS)]t
 Because absolute PPP doesn’t hold for many
goods, we will focus on relative PPP from here
on out.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Example
 Suppose the Canadian spot exchange rate is
1.18 Canadian dollars per U.S. dollar. U.S.
inflation is expected to be 3% per year, and
Canadian inflation is expected to be 2%.
 Do you expect the U.S. dollar to appreciate or
depreciate relative to the Canadian dollar?
 Since inflation is higher in the U.S., we would expect
the U.S. dollar to depreciate relative to the Canadian
dollar.
 What is the expected exchange rate in one year?
 E(S1) = 1.18[1 + (.02 - .03)]1 = 1.1682
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.4 Interest Rate Parity
 IRP is an arbitrage condition.
 If IRP did not hold, then it would be possible
for an astute trader to make unlimited
amounts of money exploiting the arbitrage
opportunity.
 Since we don’t typically observe persistent
arbitrage conditions, we can safely assume
that IRP holds.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Interest Rate Parity
Suppose you have $100,000 to invest for one year.
You can either
1. Invest in the U.S. at i$.
Future value = $100,000×(1 + i$)
2. Trade your dollars for yen at the spot rate, invest in
Japan at i¥ and hedge your exchange rate risk by selling
the future value of the Japanese investment forward.
F
S
× (1 + i¥) = (1 + i$)
F
S
× (1 + i¥)
Future value = $100,000 ×
Since both of these investments have the same risk, they must
have the same future value:
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Interest Rate Parity
Formally,
IRP is sometimes approximated as
F
S
× (1 + i¥) = (1 + i$)
F
S
=
(1 + i$)
(1 + i¥)
or if you prefer,
i$ – i¥ = F – S
S
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
IRP and Covered Interest Arbitrage
If IRP failed to hold, an arbitrage opportunity would exist. It’s
easiest to see this in the form of an example.
Consider the following set of foreign and domestic interest rates
and spot and forward exchange rates.
Spot exchange rate S£(0) = $1.25/£
360-day forward
rate
F£(360) = $1.20/£
U.S. discount rate i$ = 7.10%
British discount
rate
i£ = 11.56%
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
IRP and Covered Interest Arbitrage
A trader with $1,000 to invest could invest in the U.S.,
in one year his investment will be worth $1,071 =
$1,000(1+ i$) = $1,000(1.071)
Alternatively, this trader could:
1. exchange $1,000 for £800 at the prevailing spot rate,
(note that £800 = $1,000÷$1.25/£)
2. invest £800 at i£ = 11.56% for one year to achieve
£892.48.
3. Translate £892.48 back into dollars at F£(360) =
$1.20/£, the £892.48 will be exactly $1,071.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
IRP and Covered Interest Arbitrage
Can invest in the U.S.
In one year his investment
will be worth
$1,071 = $1,000(1.071)
= $1,000(1+ i$)
A trader with $1,000 to invest:
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
$1,000
£800
£800= $1,000×
£1
$1.25
IRP and Covered Interest Arbitrage
Invest £800
at i£ =
11.56%
In one year £800
will be worth
£892.48 =
$1,000(1+ i£)
$1,071 = £892.48 ×
£1
$1.20
Bring it on back
to the U.S.A.
Domestic FV =
$1,071 and
British FV =
$1,071
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Reasons for Deviations from IRP
 Transactions Costs
 The interest rate available to an arbitrageur for
borrowing, ib,may exceed the rate he can lend at, il.
 There may be bid-ask spreads to overcome, Fb/Sa < F/S
 Thus
(Fb/Sa)(1 + i¥
l)  (1 + i¥
b)  0
 Capital Controls
 Governments sometimes restrict import and export of
money through taxes or outright bans.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
International Fisher Effect
 Combining PPP and UIP we can get the
International Fisher Effect:
 RUS – hUS = RFC – hFC
 The International Fisher Effect tells us that the
real rate of return must be constant across
countries.
 If it is not, investors will move their money to
the country with the higher real rate of return.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Equilibrium Exchange Rate Relationships
h$ – h£
IRP
PPP
FE FRPPP
IFE FP
i$ – i¥
F – S
S
E(e)
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.5 International Capital Budgeting
 Home Currency Approach
 Estimate cash flows in foreign currency
 Estimate future exchange rates using UIP
 Convert future cash flows to dollars
 Discount using domestic required return
 Foreign Currency Approach
 Estimate cash flows in foreign currency
 Use the IFE to convert domestic required return to foreign
required return
 Discount using foreign required return
 Convert NPV to dollars using current spot rate
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Home Currency Approach
 Your company is looking at a new project in
Mexico. The project will cost 9 million pesos.
The cash flows are expected to be 2.25 million
pesos per year for 5 years. The current spot
exchange rate is 9.08 pesos per dollar. The
risk-free rate in the US is 4%, and the risk-free
rate in Mexico 8%. The dollar required return
is 15%.
 Should the company make the investment?
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Foreign Currency Approach
 Use the same information as the previous
example to estimate the NPV using the
Foreign Currency Approach
 Mexican inflation rate from the International
Fisher Effect is 8% - 4% = 4%
 Required Return = 15% + 4% = 19%
 PV of future cash flows = 6,879,679
 NPV = 6,879,679 – 9,000,000 = -2,120,321 pesos
 NPV = -2,120,321 / 9.08 = -233,516
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.6 Exchange Rate Risk
 Short-Run Exposure
 Long-Run Exposure
 Translation Exposure
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Short-Run Exposure
 Risk from day-to-day fluctuations in exchange
rates and the fact that companies have
contracts to buy and sell goods in the short-run
at fixed prices
 Managing risk
 Enter into a forward agreement to guarantee the
exchange rate.
 Use foreign currency options to lock in exchange
rates if they move against you, but benefit from
rates if they move in your favor.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Long-Run Exposure
 Long-run fluctuations come from
unanticipated changes in relative economic
conditions
 Could be due to changes in labor markets or
governments
 More difficult to hedge
 Try to match long-run inflows and outflows in
the currency
 Borrowing in the foreign country may mitigate
some of the problems
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Translation Exposure
 Income from foreign operations must be translated
back to U.S. dollars for accounting purposes, even if
foreign currency is not actually converted back to
dollars.
 If gains and losses from this translation flowed
through directly to the income statement, there would
be significant volatility in EPS.
 Current accounting regulations require that all cash
flows be converted at the prevailing exchange rates,
with currency gains and losses accumulated in a
special account within shareholders equity.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Managing Exchange Rate Risk
 Large multinational firms may need to manage
the exchange rate risk associated with several
different currencies.
 The firm needs to consider its net exposure to
currency risk instead of just looking at each
currency separately.
 Hedging individual currencies could be
expensive and may actually increase exposure.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
20.7 Political Risk
 Changes in value due to political actions in the foreign
country
 Investment in countries that have unstable governments
should require higher returns.
 The extent of political risk depends on the nature of the
business:
 The more dependent the business is on other operations
within the firm, the less valuable it is to others.
 Natural resource development can be very valuable to
others, especially if much of the ground work in
developing the resource has already been done.
 Local financing can often reduce political risk.
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved.
Quick Quiz
 What does an exchange rate tell us?
 What is triangle arbitrage?
 What are absolute purchasing power parity and relative purchasing
power parity?
 What are covered interest arbitrage and interest rate parity?
 What are uncovered interest parity and the International Fisher
Effect?
 What are the two methods for international capital budgeting?
 What is the difference between short-run interest rate exposure and
long-run interest rate exposure? How can you hedge each type?
 What is political risk and what types of business face the greatest
risk?

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Chap020.ppt

  • 1. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. International Corporate Finance Chapter 20
  • 2. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Key Concepts and Skills  Understand how exchange rates are quoted and what they mean  Know the difference between spot and forward rates  Understand purchasing power parity and interest rate parity and the implications for changes in exchange rates  Understand the basics of international capital budgeting  Understand the impact of political risk on international business investing
  • 3. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter Outline 20.1 Terminology 20.2 Foreign Exchange Markets and Exchange Rates 20.3 Purchasing Power Parity 20.4 Interest Rate Parity, Unbiased Forward Rates, and the International Fisher Effect 20.5 International Capital Budgeting 20.6 Exchange Rate Risk 20.7 Political Risk
  • 4. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.1 Terminology  American Depository Receipt (ADR): a security issued in the U.S. to represent shares of a foreign stock  Cross rate: the exchange rate between two foreign currencies, e.g., the exchange rate between £ and ¥  Euro (€): the single currency of the European Monetary Union which was adopted by 11 Member States on 1 January 1999. These member states were: Belgium, Germany, Spain, France, Ireland, Italy, Luxemburg, Finland, Austria, Portugal and the Netherlands  Eurobonds: bonds denominated in a particular currency and issued simultaneously in the bond markets of several countries
  • 5. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Terminology  Eurocurrency: money deposited in a financial center outside the home country. Eurodollars are dollar deposits held outside the U.S.; Euroyen are yen denominated deposits held outside Japan.  Foreign bonds: bonds issued in another nation’s capital market by a foreign borrower  Gilts: British and Irish government securities  LIBOR: the London Interbank Offer Rate is the rate most international banks charge one another for loans of Eurodollars overnight in the London market
  • 6. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.2 Foreign Exchange Markets and Exchange Rates  Without a doubt, the foreign exchange market is the world’s largest financial market.  In this market, one country’s currency is traded for another’s.  Most of the trading takes place in a few currencies:  U.S. dollar ($)  British pound sterling (£)  Japanese yen (¥)  Euro (€)
  • 7. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. FOREX Market Participants  The FOREX market is a two-tiered market:  Interbank Market (Wholesale)  About 700 banks worldwide stand ready to make a market in Foreign exchange.  Nonbank dealers account for about 20% of the market.  There are FX brokers who match buy and sell orders but do not carry inventory and FX specialists.  Client Market (Retail)  Market participants include international banks, their customers, nonbank dealers, FOREX brokers, and central banks.
  • 8. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Exchange Rates  The price of one country’s currency in terms of another.  Most currency is quoted in terms of dollars.  Consider the following quote:  Euro 1.3170 .7593  The first number (1.3170) is how many U.S. dollars it takes to buy 1 Euro  The second number (.7593) is how many Euros it takes to buy $1  The two numbers are reciprocals of each other (1/1.3170 = .7593)
  • 9. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Example  Suppose you have $10,000. Based on the rates in Figure 20.1, how many Swiss Francs can you buy?  Exchange rate = 1.2146 Francs per dollar  Buy 10,000(1.2146) = 12,146 Francs  Suppose you are visiting Bombay and you want to buy a souvenir that costs 1,000 Indian Rupees. How much does it cost in U.S. dollars?  Exchange rate = 43.384 rupees per dollar  Cost = 1,000 / 43.384 = $23.05
  • 10. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Cross Rates  Suppose that SDM(0) = .50  i.e., $1 = 2 DM in the spot market  and that S¥(0) = 100  i.e., $1 = ¥100  What must the DM/¥ cross rate be? , $ ¥ $ ¥ since DM DM   ¥50 DM1 or .02 ) 0 ( ¥50 1 1 $ 2 ¥100 1 $ ¥ ¥ /        DM S DM DM DM
  • 11. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Triangular Arbitrage $ £ ¥ Credit Lyonnais S£(0) = 1.50 Credit Agricole S¥/£(0) = 85 Barclays S¥(0) = 120 Suppose we observe these banks posting these exchange rates. First calculate the implied cross rates to see if an arbitrage exists.
  • 12. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Triangular Arbitrage $ £ ¥ Credit Lyonnais S£(0) = 1.50 Credit Agricole S¥/£(0) = 85 Barclays S¥(0) = 120 The implied S(¥/£) cross rate is S(¥/£) = 80 Credit Agricole has posted a quote of S(¥/£)=85, so there is an arbitrage opportunity. So, how can we make money? £1.50 $1 × $1 ¥120 = £1 ¥80
  • 13. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Triangular Arbitrage $ £ ¥ Credit Lyonnais S£(0) = 1.50 Credit Agricole S¥/£(0) = 85 Barclays S¥(0) =120 As easy as 1 – 2 – 3: 1. Sell our $ for £, 2. Sell our £ for ¥, 3. Sell those ¥ for $.
  • 14. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Triangular Arbitrage Sell $100,000 for £ at S£(0) = 1.50 receive £150,000 Sell our £ 150,000 for ¥ at S¥/£(0) = 85 receive ¥12,750,000 Sell ¥ 12,750,000 for $ at S¥(0) = 120 receive $106,250 profit per round trip = $ 106,250 – $100,000 = $6,250
  • 15. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Types of Transactions  Spot trade – exchange currency immediately  Spot rate – the exchange rate for an immediate trade  Forward trade – agree today to exchange currency at some future date and some specified price (also called a forward contract)  Forward rate – the exchange rate specified in the forward contract  If the forward rate is higher than the spot rate, the foreign currency is selling at a premium (when quoted as $ equivalents).  If the forward rate is lower than the spot rate, the foreign currency is selling at a discount.
  • 16. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.3 Absolute Purchasing Power Parity  Price of an item is the same regardless of the currency used to purchase it.  Requirements for absolute PPP to hold:  Transaction costs are zero  No barriers to trade (no taxes, tariffs, etc.)  No difference in the commodity between locations  For most goods, Absolute PPP rarely holds in practice.
  • 17. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Relative Purchasing Power Parity  Provides information about what causes changes in exchange rates.  The basic result is that exchange rates depend on relative inflation between countries:  E(St ) = S0[1 + (hFC – hUS)]t  Because absolute PPP doesn’t hold for many goods, we will focus on relative PPP from here on out.
  • 18. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Example  Suppose the Canadian spot exchange rate is 1.18 Canadian dollars per U.S. dollar. U.S. inflation is expected to be 3% per year, and Canadian inflation is expected to be 2%.  Do you expect the U.S. dollar to appreciate or depreciate relative to the Canadian dollar?  Since inflation is higher in the U.S., we would expect the U.S. dollar to depreciate relative to the Canadian dollar.  What is the expected exchange rate in one year?  E(S1) = 1.18[1 + (.02 - .03)]1 = 1.1682
  • 19. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.4 Interest Rate Parity  IRP is an arbitrage condition.  If IRP did not hold, then it would be possible for an astute trader to make unlimited amounts of money exploiting the arbitrage opportunity.  Since we don’t typically observe persistent arbitrage conditions, we can safely assume that IRP holds.
  • 20. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Interest Rate Parity Suppose you have $100,000 to invest for one year. You can either 1. Invest in the U.S. at i$. Future value = $100,000×(1 + i$) 2. Trade your dollars for yen at the spot rate, invest in Japan at i¥ and hedge your exchange rate risk by selling the future value of the Japanese investment forward. F S × (1 + i¥) = (1 + i$) F S × (1 + i¥) Future value = $100,000 × Since both of these investments have the same risk, they must have the same future value:
  • 21. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Interest Rate Parity Formally, IRP is sometimes approximated as F S × (1 + i¥) = (1 + i$) F S = (1 + i$) (1 + i¥) or if you prefer, i$ – i¥ = F – S S
  • 22. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. IRP and Covered Interest Arbitrage If IRP failed to hold, an arbitrage opportunity would exist. It’s easiest to see this in the form of an example. Consider the following set of foreign and domestic interest rates and spot and forward exchange rates. Spot exchange rate S£(0) = $1.25/£ 360-day forward rate F£(360) = $1.20/£ U.S. discount rate i$ = 7.10% British discount rate i£ = 11.56%
  • 23. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. IRP and Covered Interest Arbitrage A trader with $1,000 to invest could invest in the U.S., in one year his investment will be worth $1,071 = $1,000(1+ i$) = $1,000(1.071) Alternatively, this trader could: 1. exchange $1,000 for £800 at the prevailing spot rate, (note that £800 = $1,000÷$1.25/£) 2. invest £800 at i£ = 11.56% for one year to achieve £892.48. 3. Translate £892.48 back into dollars at F£(360) = $1.20/£, the £892.48 will be exactly $1,071.
  • 24. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. IRP and Covered Interest Arbitrage Can invest in the U.S. In one year his investment will be worth $1,071 = $1,000(1.071) = $1,000(1+ i$) A trader with $1,000 to invest:
  • 25. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. $1,000 £800 £800= $1,000× £1 $1.25 IRP and Covered Interest Arbitrage Invest £800 at i£ = 11.56% In one year £800 will be worth £892.48 = $1,000(1+ i£) $1,071 = £892.48 × £1 $1.20 Bring it on back to the U.S.A. Domestic FV = $1,071 and British FV = $1,071
  • 26. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Reasons for Deviations from IRP  Transactions Costs  The interest rate available to an arbitrageur for borrowing, ib,may exceed the rate he can lend at, il.  There may be bid-ask spreads to overcome, Fb/Sa < F/S  Thus (Fb/Sa)(1 + i¥ l)  (1 + i¥ b)  0  Capital Controls  Governments sometimes restrict import and export of money through taxes or outright bans.
  • 27. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. International Fisher Effect  Combining PPP and UIP we can get the International Fisher Effect:  RUS – hUS = RFC – hFC  The International Fisher Effect tells us that the real rate of return must be constant across countries.  If it is not, investors will move their money to the country with the higher real rate of return.
  • 28. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Equilibrium Exchange Rate Relationships h$ – h£ IRP PPP FE FRPPP IFE FP i$ – i¥ F – S S E(e)
  • 29. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.5 International Capital Budgeting  Home Currency Approach  Estimate cash flows in foreign currency  Estimate future exchange rates using UIP  Convert future cash flows to dollars  Discount using domestic required return  Foreign Currency Approach  Estimate cash flows in foreign currency  Use the IFE to convert domestic required return to foreign required return  Discount using foreign required return  Convert NPV to dollars using current spot rate
  • 30. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Home Currency Approach  Your company is looking at a new project in Mexico. The project will cost 9 million pesos. The cash flows are expected to be 2.25 million pesos per year for 5 years. The current spot exchange rate is 9.08 pesos per dollar. The risk-free rate in the US is 4%, and the risk-free rate in Mexico 8%. The dollar required return is 15%.  Should the company make the investment?
  • 31. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Foreign Currency Approach  Use the same information as the previous example to estimate the NPV using the Foreign Currency Approach  Mexican inflation rate from the International Fisher Effect is 8% - 4% = 4%  Required Return = 15% + 4% = 19%  PV of future cash flows = 6,879,679  NPV = 6,879,679 – 9,000,000 = -2,120,321 pesos  NPV = -2,120,321 / 9.08 = -233,516
  • 32. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.6 Exchange Rate Risk  Short-Run Exposure  Long-Run Exposure  Translation Exposure
  • 33. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Short-Run Exposure  Risk from day-to-day fluctuations in exchange rates and the fact that companies have contracts to buy and sell goods in the short-run at fixed prices  Managing risk  Enter into a forward agreement to guarantee the exchange rate.  Use foreign currency options to lock in exchange rates if they move against you, but benefit from rates if they move in your favor.
  • 34. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Long-Run Exposure  Long-run fluctuations come from unanticipated changes in relative economic conditions  Could be due to changes in labor markets or governments  More difficult to hedge  Try to match long-run inflows and outflows in the currency  Borrowing in the foreign country may mitigate some of the problems
  • 35. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Translation Exposure  Income from foreign operations must be translated back to U.S. dollars for accounting purposes, even if foreign currency is not actually converted back to dollars.  If gains and losses from this translation flowed through directly to the income statement, there would be significant volatility in EPS.  Current accounting regulations require that all cash flows be converted at the prevailing exchange rates, with currency gains and losses accumulated in a special account within shareholders equity.
  • 36. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Managing Exchange Rate Risk  Large multinational firms may need to manage the exchange rate risk associated with several different currencies.  The firm needs to consider its net exposure to currency risk instead of just looking at each currency separately.  Hedging individual currencies could be expensive and may actually increase exposure.
  • 37. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 20.7 Political Risk  Changes in value due to political actions in the foreign country  Investment in countries that have unstable governments should require higher returns.  The extent of political risk depends on the nature of the business:  The more dependent the business is on other operations within the firm, the less valuable it is to others.  Natural resource development can be very valuable to others, especially if much of the ground work in developing the resource has already been done.  Local financing can often reduce political risk.
  • 38. McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. Quick Quiz  What does an exchange rate tell us?  What is triangle arbitrage?  What are absolute purchasing power parity and relative purchasing power parity?  What are covered interest arbitrage and interest rate parity?  What are uncovered interest parity and the International Fisher Effect?  What are the two methods for international capital budgeting?  What is the difference between short-run interest rate exposure and long-run interest rate exposure? How can you hedge each type?  What is political risk and what types of business face the greatest risk?