International Finance Today Capital Budgeting (international style) Financing (international style)...

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International Finance

Today

Capital Budgeting (international style)

Financing (international style)

Topics

Exchange rates

Currency risk

Managing Currency Risk

Capital Budgeting w/ currency risk

Financing w/currency risk

Exchange Rates

Spot Rate

The price of a currency for immediate delivery (i.e. today’s exchange rate)

Forward Rate

The price of a currency on a specified future date (i.e. a forward contract in which the exercise price is the exchange rate)

Futures - Same as forward (w/secondary markets)

Options - on exchange rates & Future Ks

Exchange RatesExample

Swiss franc spot price is SF SF 1.4457 per $1

Swiss franc 6 mt forward price is SFSF1.4282 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

Exchange Rates

Example

What is the franc premium (annualized)?

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%

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)?

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%

Exchange Rates

1) Interest Rate Parity Theory

1 + rf = Ff/$

1 + r$ Sf/$

• The difference between the risk free interest rates in two different countries is equal to the difference between the forward and spot rates

Exchange Rates

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

Exchange RatesExample

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

Exchange RatesExample

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 German 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

Exchange RatesExample

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 German 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

Exchange RatesExample

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 German 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 = $110,000 exchange

If the two loans created a different result, arbitrage exists!

Exchange Rates

2) Expectations Theory of Forward Rates

Ff/$ = E (Sf/$)

Sf/$ Sf/$

The difference between the forward & spot rates equals the expected change in the spot rate.

Exchange Rates

3) Law of One Price (Purchasing Power Parity)

E (Sf/$) = E ( 1 + if )

Sf/$ E ( 1 + i$ )

The expected change in the spot rate equals the expected difference in inflation between the two countries.

Exchange Rates

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?

Exchange Rates

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 (Sf/$) = E ( 1 + if )

Sf/$ E ( 1 + i$ )

Exchange Rates

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 (Sf/$) = E ( 1 + if )

Sf/$ E ( 1 + i$ )

1.4194 = E( 1 + i) 1.4457 1 + .045

Exchange Rates

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 (Sf/$) = E ( 1 + if )

Sf/$ E ( 1 + i$ )

solve for i

1.4194 = E( 1 + i) i = .026 or 2.6%1.4457 1 + .045

Exchange Rates

4) Capital market Equilibrium

E ( 1 + if ) = 1 + rf

E ( 1 + i$ ) 1 + r$

The expected difference in inflation rates equals the difference in current interest rates.

Also called common real interest rates

Exchange Rates

Example

• In the previous examples, show the equilibrium of interest rates and inflation rates

1 + rf = 1.08 = .9818

1 + r$ 1.10

Exchange Rates

Example

• In the previous examples, show the equilibrium of interest rates and inflation rates

1 + rf = 1.08 = .9818

1 + r$ 1.10

E ( 1 + if ) = 1.026 = .9818

E ( 1 + i$ ) 1.045

Exchange Rates

Applications

Q: What does it mean to a business if the dollar is trading at a forward premium?

Exchange Rates

Applications

Q: What does it mean to a business if the dollar is trading at a forward premium?

A: Stronger purchasing power

Exchange RatesExample

Honda builds a new car in Japan for a cost + profit of 1,715,000 yen. At an exchange rate of 101.18:$1 the car sells for $16,950 in Baltimore. If the dollar rises in value, against the yen, to an exchange rate of 105:$1, what will be the price of the car?

Exchange RatesExample

Honda builds a new car in Japan for a cost + profit of 1,715,000 yen. At an exchange rate of 101.18:$1 the car sells for $16,950 in Indianapolis. If the dollar rises in value, against the yen, to an exchange rate of 105:$1, what will be the price of the car?

1,715,000 = $16,333

105

Exchange RatesExample

Honda builds a new car in Japan for a cost + profit of 1,715,000 yen. At an exchange rate of 101.18:$1 the car sells for $16,950 in Indianapolis. If the dollar rises in value, against the yen, to an exchange rate of 105:$1, what will be the price of the car?

1,715,000 = $16,333

105Conversely, if the yen is trading at a forward discount, Japan will experience a decrease in purchasing power.

Exchange Rates

Example

Harley Davidson builds a motorcycle for a cost plus profit for $12,000. At an exchange rate of 101.18:$1, the motorcycle sells for 1,214,160 yen in Japan. If the dollar rises in value and the exchange rate is 105:$1, what will the motorcycle cost in Japan?

Exchange Rates

Example

Harley Davidson builds a motorcycle for a cost plus profit for $12,000. At an exchange rate of 101.18:$1, the motorcycle sells for 1,214,160 yen in Japan. If the dollar rises in value and the exchange rate is 105:$1, what will the motorcycle cost in Japan?

$12,000 x 105 = 1,260,000 yen (3.78% rise)

Currency 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

Currency Risk

Example

Your US company is building a plant in Switzerland. Your cost will be 2,000,000 sf, with full payment due in 6 months. You are concerned about currency risk. The spot rate is 1.4397sf:$1 and the 6 mt forward rate is 1.4350sf:$1. How can you eliminate the currency risk? How does this help in evaluating the project?

Currency RiskExample

Your US company is building a plant in Switzerland. Your cost will be 2,000,000 sf, with full payment due in 6 months. You are concerned about currency risk. The spot rate is 1.4397sf:$1 and the 6 mt forward rate is 1.4350sf:$1. How can you eliminate the currency risk? How does this help in evaluating the project?

•Since you are short in Swiss Francs, you should long sf contracts

•2,000,000sf / 1.4350 = $1,393,728 worth of 6mt sf Ks.

•This will lock in your Co cash flow at $1,393,728

•The forward premium paid is 0.33% (using capital market equilibrium, this premium probably equals the inflation rate.

Capital Budgeting

Techniques

1) Exchange to $ and analyze

2) Discount and then exchange

3) Choose a currency standard ($) and hedge all non dollar CF

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 1 2 3 4 5

400 450 510 575 650

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: What are the 1, 2, 3, 4, 5 year forward rates?

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: What are the 1, 2, 3, 4, 5 year forward rates?

A: E (Sf/$) = E ( 1 + if )t solve for E(S)

Sf/$ E ( 1 + i$ )t

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: What are the 1, 2, 3, 4, 5 year forward rates?

A: E (Sf/$) = E ( 1 + if )t solve for E(S)

Sf/$ E ( 1 + i$ )t

E(S) 2.02 2.04 2.06 2.08 2.10

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: Convert the CF to $ using the forward rates.

1 2 3 4 5

CFg 400 450 510 575 650

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: Convert the CF to $ using the forward rates.

1 2 3 4 5

CFg 400 450 510 575 650

E(S) 2.02 2.04 2.06 2.08 2.10

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

Q: Convert the CF to $ using the forward rates.

1 2 3 4 5

CFg 400 450 510 575 650

E(S) 2.02 2.04 2.06 2.08 2.10

CF$ 198 221 248 276 310

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

What is the PV of the project in dollars at a risk premium of 7.4%?

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

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

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

What is the PV of the project in guilders at a risk premium of 7.4%? Convert to dollars.

ExampleOutland 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 1 2 3 4 5

400 450 510 575 650

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

Misc Items

• Tax Comparisons between countries

• Political Risk

Misc Items

• Tax Comparisons between countries

• Political Risk

Corporate Financial Theory

- Go over Final

- Answer questions for final - in normal class room

What We Know

• Net Present Value

• Capital Asset Pricing Model (CAPM)

• Efficient Capital markets

• Value Additivity & Conservation

• Option Theory

• Agency Theory

What We Do Not Know

• How major decisions are made

• What determines the risk & PV ?

• CAPM shortfalls

• Why are some markets inefficient?

• Is management a liability?

• Why do IPOs succeed & new markets emerge?

• Why is capital structure not optimized?

• Dividend policy - Answer?

• Liquidity value?

• Why do mergers come in waves?

What We Do Not Know

Review for Final

In normal class room

Topics

Format

Difficulty

Bonus Points