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CHAPTER 27 Managing Risk

777

Firms use a number of tools to hedge:

1.Futures contracts are advance orders to buy or sell an asset. The price is fixed today, but the final payment does not occur until the delivery date. The futures markets allow firms to place advance orders for dozens of different commodities, securities, and currencies.

2.Futures contracts are highly standardized and are traded in huge volumes on the futures exchanges. Instead of buying or selling a standardized futures contract, you may be able to arrange a tailor-made contract with a bank. These tailor-made futures contracts are called forward contracts. Firms regularly protect themselves against exchange rate changes by buying or selling forward currency contracts. Forward rate agreements (FRAs) provide protection against interest rate changes.

3.It is also possible to construct homemade forward contracts. For example, if you borrow for two years and at the same time lend for one year, you have effectively taken out a forward loan.

4.In recent years firms have entered into a variety of swap arrangements. For example, a firm may arrange for the bank to make all the future payments on its fixedrate debt in exchange for paying the bank the cost of servicing a floating-rate loan.

Instead of using derivatives for hedging, some companies have decided that speculation is more fun, and this has sometimes gotten them into serious trouble. We do not believe that such speculation makes sense for an industrial company, but we caution against the view that derivatives are a threat to the financial system.

Two general articles on corporate risk management are:

C. W. Smith and R. M. Stultz: “The Determinants of Firms’ Hedging Policies,” Journal of Financial and Quantitative Analysis, 20:391–405 (December 1985).

K. A. Froot, D. Scharfstein, and J. C. Stein: “A Framework for Risk Management,” Journal of Applied Corporate Finance, 7:22–32 (Fall 1994).

Schaefer’s paper is a useful review of how duration measures are used to immunize fixed liabilities:

S.M. Schaefer: “Immunisation and Duration: A Review of Theory, Performance and Applications,” Midland Corporate Finance Journal, 3:41–58 (Autumn 1984).

The texts that we cited in the readings for Chapter 20 cover futures and swaps as well as options. There are also some useful texts that focus on futures and swaps. They include:

D. Duffie: Futures Markets, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1989.

D. R. Siegel and D. F. Siegel: Futures Markets, Dryden Press, Chicago, 1990.

C. W. Smith, C. H. Smithson, and D. S. Wilford: Managing Financial Risk, 3rd ed., McGrawHill, Inc., New York, 1998.

The Metallgesellschaft debacle makes fascinating reading. The following three papers cover all sides of the debate:

C. Culp and M. H. Miller: “Metallgesellschaft and the Economics of Synthetic Storage,”

Journal of Applied Corporate Finance, 7:62–76 (Winter 1995).

F.Edwards: “The Collapse of Metallgesellschaft: Unhedgeable Risks, Poor Hedging Strategy, or Just Bad Luck?” Journal of Futures Markets, 15:211–264 (May 1995).

FURTHER READING

A. Mello and J. Parsons: “Maturity Structure of a Hedge Matters: Lessons from the Metallgesellschaft Debacle,” Journal of Applied Corporate Finance, 7:106–120 (Spring 1995).

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PART VIII Risk Management

QUIZ

1. True or false?

a.A perfect hedge of asset A requires an asset B that’s perfectly correlated with A.

b.Hedging transactions in an active futures market have zero or slightly negative NPVs.

c.Longer maturity bonds necessarily have longer durations.

d.The longer a bond’s duration, the lower is its volatility.

e.When you buy a futures contract, you pay now for delivery at a future date.

f.The holder of a futures contract receives the convenience yield on the underlying commodity.

g.The holder of a financial futures contract misses out on any dividend or interest payments made on the underlying security.

2.Yesterday you sold six-month futures on the German DAX stock market index at a price of 5,820. Today the DAX closed at 5,800 and DAX futures closed at 5,840. You get a call from your broker, who reminds you that your futures position is marked to market each day. Is she asking you to pay money, or is she about to offer to pay you?

3.Calculate the value of a six-month futures contract on a Treasury bond. You have the following information:

Six-month interest rate: 10 percent per year, or 4.9 percent for six months.

Spot price of bond: 95.

Coupon payments on the bond over the next six months: Present value of 4.

4.Calculate PV(convenience yield) for magnoosium scrap from the following information:

Spot price: $2,550 per ton.

Futures price: $2,408 for a one-year contract.

Interest rate: 12 percent.

PV(storage costs): $100 per year.

5.Residents of the northeastern United States suffered record-setting low temperatures throughout November and December 2015. Spot prices of heating oil rose 25 percent, to over $2 a gallon.

a.What effect did this have on the net convenience yield and on the relationship between futures and spot prices?

b.In late 2016 refiners and distributors were surprised by record-setting high temperatures. What was the effect on net convenience yield and spot and futures prices for heating oil?

6.After a record harvest, grain silos are full to the brim. Are storage costs likely to be high or low? What does this imply for the net convenience yield?

7.A year ago a British bank entered into a £50 million five-year interest rate swap. It agreed to pay company A each year a fixed rate of 6 percent and to receive in return LIBOR plus 1 percent. When the bank entered into this swap, LIBOR was 5 percent, but now interest rates have risen, so on a four-year interest rate swap the bank could expect to pay 6 1/2 percent and receive LIBOR plus 1 percent.

a.Is the swap showing a profit or loss to the bank?

b.Suppose that at this point company A approaches the bank and asks to terminate the swap. If there are four annual payments still remaining, how much should the bank charge A to terminate?

8.What is basis risk? In which of the following cases would you expect basis risk to be most serious?

a.A broker owning a large block of Walt Disney common stock hedges by selling index futures.

b.An Iowa corn farmer hedges the selling price of her crop by selling Chicago corn futures.

c.An importer must pay 900 million euros in six months. He hedges by buying euros forward.

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779

9.You own a $1 million portfolio of aerospace stocks with a beta of 1.2. You are very enthusiastic about aerospace but uncertain about the prospects for the overall stock market. Explain how you could hedge out your market exposure by selling the market short. How much would you sell? How in practice would you go about “selling the market”?

10.a. Marshall Arts has just invested one million euros in BTPs (long-term Italian government bonds). Marshall is concerned about increasing volatility in interest rates. He decides to hedge using bond futures contracts. Should he buy or sell such contracts?

b.The treasurer of an Italian corporation plans to issue bonds in three months. She is also concerned about interest rate volatility and wants to lock in the price at which her company could sell 5 percent coupon bonds. How would she use bond futures contracts to hedge?

11.Securities A, B, and C have the following cash flows:

 

Period 1

Period 2

Period 3

 

 

 

 

A

40

40

40

B

120

C

10

10

110

 

 

 

 

a.Calculate their durations if the interest rate is 8 percent.

b.Suppose that you have an investment of $10 million in A. What combination of B and C would immunize this investment against interest rate changes?

c.Now suppose that you have a $10 million investment in B. How would you immunize?

1.Why might a large, multinational company choose to insure against common events, such as vehicle accidents, but not against rare events which could cause large losses? Explain briefly.

2.Large businesses spend millions of dollars annually on insurance. Why? Should they insure against all risks or does insurance make more sense for some risks than others?

3.What is meant by “moral hazard” and “adverse selection”? Explain why these effects tend to increase insurance premiums.

4.On some catastrophe bonds, payments are reduced if the claims against the issuer exceed a specified sum. In other cases payments are reduced only if claims against the entire industry exceed some sum. What are the advantages and disadvantages of the two structures? Which involves more basis risk? Which may create a problem of moral hazard?

5.“The farmer does not avoid risk by selling wheat futures. If wheat prices stay about $2.80 a bushel, then he will actually have lost by selling wheat futures at $2.50.” Is this a fair comment?

6.Explain the chief differences between futures and forward contracts, e.g., for foreign exchange.

7.List some of the commodity futures contracts that are traded on exchanges. Who do you think could usefully reduce risk by buying each of these contracts? Who do you think might wish to sell each contract?

8.What is a currency swap? An interest rate swap? A default swap? Give an example of how each swap might be used.

9.In August 2001, six-month futures on the Brazilian Bovespa stock index traded at 15,330. Spot was 13,743. The interest rate was 19 percent and the dividend yield was about 4 percent. Were the futures fairly priced?

PRACTICE QUESTIONS

780PART VIII Risk Management

10.If you buy a nine-month T-bill future, you undertake to buy a three-month bill in nine months’ time. Suppose that Treasury bills and notes currently offer the following yields:

Months to Maturity

Annual Yield

3

6%

6

6.5

9

7

12

8

What is the value of a nine-month bill future?

11.Table 27.5 contains spot and six-month futures prices for several commodities and financial instruments. There may be some money-making opportunities. See if you can find them, and explain how you would trade to take advantage of them. The interest rate is 14.5 percent, or 7 percent over the six-month life of the contracts.

12.The following table shows gold futures prices for varying contract lengths. Gold is predominantly an investment good, not an industrial commodity. Investors hold gold because it diversifies their portfolios and because they hope its price will rise. They do not hold it for its convenience yield.

Calculate the interest rate faced by traders in gold futures for each of the contract lengths shown below. The spot price is $295.2 per ounce.

 

 

Contract Length (months)

 

 

 

 

 

 

 

 

 

1

3

9

15

21

 

 

 

 

 

 

Futures price

$296.49

$300.11

$312.32

$325.57

$339.65

 

 

 

 

 

 

13.In September 2001 swap dealers were quoting a rate for five-year euro interest-rate swaps of 4.5 percent against euribor (the short-term interest rate for euro loans). Euribor at the time was 4.1 percent. Suppose that A arranges with a dealer to swap a a10 million five-year fixed-rate loan for an equivalent floating-rate loan in euros.

Commodity

Spot Price

Futures Price

Comments

 

 

 

 

Magnoosium

$2,550

$2,728.50

PV(storage costs) PV(convenience

 

per ton

per ton

yield).

Frozen quiche

$.50 per

$.514 per

PV(storage costs) $.10 per pound;

 

pound

pound

PV(convenience yield) $.05 per

 

 

 

pound.

Nevada Hydro 8s

77

78.39

4% semiannual coupon payment is due just

of 2002

 

 

before futures contract expires.

Costaguanan pulgas

9,300 pulgas

6,900 pulgas

Costaguanan interest rate is 95% per year.

(currency)

$1

$1

 

Establishment

$95

$97.54

Establishment pays dividends of $2 per

Industries common

 

 

quarter. Next dividend is paid 2 months

stock

 

 

from now.

Cheap white wine

$12,500 per

$14,200 per

PV(convenience yield) $250 per tank.

 

10,000-gal.

10,000-gal.

Your company unexpectedly has

 

tank

tank

surplus storage and can store

 

 

 

50,000 gallons at no cost.

 

 

 

 

T A B L E 2 7 . 5

Spot and six-month futures prices for selected commodities and securities. See problem 11.

CHAPTER 27 Managing Risk

781

a.What is the value of this swap at the time that it is entered into?

b.Suppose that immediately after A has entered into the swap, the long-term interest rate rises by 1 percent. Who gains and who loses?

c.What is now the value of the swap?

14.Firms A and B face the following borrowing rates for making a five-year fixed-rate debt issue in U.S. dollars or Swiss francs:

 

U.S. Dollars

Swiss Francs

Firm A

10%

7%

Firm B

8

6

Suppose that A wishes to borrow U.S. dollars and B wishes to borrow Swiss francs. Show how a swap could be used to reduce the borrowing costs of each company. Assume a spot exchange rate of 2 Swiss francs per dollar.

15.What is meant by “delta” in the context of hedging? Give examples of how delta can be estimated or calculated.

16.A gold-mining firm is concerned about short-term volatility in its revenues. Gold currently sells for $300 an ounce, but the price is extremely volatile and could fall as low as $280 or rise as high as $320 in the next month. The company will bring 1,000 ounces to the market next month.

a.What will be total revenues if the firm remains unhedged for gold prices of $280, $300, and $320 an ounce?

b.The future price of gold for delivery one month ahead is $301. What will be the firm’s total revenues at each gold price if the firm enters into a one-month futures contract to deliver 1,000 ounces of gold?

c.What will total revenues be if the firm buys a one-month put option to sell gold for $300 an ounce? The put option costs $2 per ounce.

17.Legs Diamond owns shares in Vanguard Index 500 mutual fund worth $1 million on July 15. (This is an index fund that tracks the Standard and Poor’s 500 Index.) He wants to cash in now, but his accountant advises him to wait six months so as to defer a large capital gains tax. Explain to Legs how he can use stock index futures to hedge out his exposure to market movements over the next six months. Could Legs “cash in” without actually selling his shares?

18.Refer back to question 17. Suppose that the nearest index futures contract matures in seven months rather than in six. Show how Legs Diamond can still use index futures to hedge his position. How would the maturity date affect the hedge ratio?

19.Your investment bank has an investment of $100 million in the stock of the Swiss Roll Corporation and a short position in the stock of the Frankfurter Sausage Company. Here is the recent price history of the two stocks:

Percentage Price Change

Month

Frankfurter Sausage

Swiss Roll

January

10

10

February

10

5

March

10

0

April

10

0

May

10

5

June

10

10

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PART VIII Risk Management

On the evidence of these six months, how large would your short position in Frankfurter Sausage need to be to hedge you as far as possible against movements in the price of Swiss Roll?

20.Price changes on two gold-mining stocks have shown strong positive correlation. Their historical relationship is

Average percentage change in A .001 .75 1percentage change in B 2

Changes in B explain 60 percent of the variation of the changes in A 1R2 .6 2.

a.Suppose you own $100,000 of A. How much of B should you sell to minimize the risk of your net position?

b.What is the hedge ratio?

c.Here is the historical relationship between stock A and gold prices:

Average percentage change in A .002 1.2 1percentage change in gold price 2

If R2 .5, can you lower the risk of your net position by hedging with gold (or gold futures) rather than with stock B? Explain.

21.In Section 27.5, we stated that the duration of Potterton’s lease equals the duration of its debt.

a.Show that this is so.

b.Now suppose that the interest rate falls to 3 percent. Show how the value of the lease and the debt package are now affected by a .5 percent rise or fall in the interest rate. What would Potterton need to do to re-establish the interest rate hedge?

22.Line 1 of the following table shows cash payments that your company has just promised to make. Below that are the cash flows on a blue-chip corporate note. The interest rate is 10 percent. Your company can borrow at this rate if it wishes.

 

Year 1

Year 2

Year 3

Year 4

 

 

 

 

 

Liability (millions)

0

0

$20

$20

Note’s cash payments

 

 

 

 

as percent of face value

12

12

12

112

 

 

 

 

 

a.What is the present value of your liability?

b.Calculate the durations of the liability and the note.

c.Suppose you wish to hedge the liability by investing in a combination of the note and a short-term bank deposit with a duration of zero. How much must you invest in each?

d.Would this hedge continue to protect your company if

i.Interest rates dropped by 3 percent?

ii.Short-term interest rates fluctuate while longer-term rates remain basically constant?

iii.Interest rates remain the same but two years pass?

e.Can you set up a hedge portfolio that relieves the financial manager of all the worries mentioned in (d)? Describe that portfolio.

23.Petrochemical Parfum (PP) is concerned about possible increases in the price of heavy fuel oil, which is one of its major inputs. Show how PP can use either options or futures contracts to protect itself against a rise in the price of crude oil. Show how the payoffs in each case would vary if the oil price were $14, $16, or $18 a barrel. What are the advantages and disadvantages for PP of using futures rather than options to reduce risk?

24.Explain the difference between insurance and hedging. Give an example of how options can be used for each.

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25.“Speculators want futures contracts to be incorrectly priced; hedgers want them to be correctly priced.” Why?

1.Phillip’s Screwdriver Company has borrowed $20 million from a bank at a floating interest rate of 2 percentage points above three-month Treasury bills, which now yield 5 percent. Assume that interest payments are made quarterly and that the entire principal of the loan is repaid after five years.

Phillip’s wants to convert the bank loan to fixed-rate debt. It could have issued a fixed-rate five-year note at a yield to maturity of 9 percent. Such a note would now trade at par. The five-year Treasury note’s yield to maturity is 7 percent.

a.Is Phillip’s stupid to want long-term debt at an interest rate of 9 percent? It is borrowing from the bank at 7 percent.

b.Explain how the conversion could be carried out by an interest rate swap. What will be the initial terms of the swap? (Ignore transaction costs and the swap dealer’s profit.)

One year from now mediumand long-term Treasury yields decrease to 6 percent, so the term structure then is flat. (The changes actually occur in month 5.) Phillip’s credit standing is unchanged; it can still borrow at 2 percentage points over Treasury rates.

c.What net swap payment will Phillip’s make or receive?

d.Suppose that Phillip’s now wants to cancel the swap. How much would it need to pay the swap dealer? Or would the dealer pay Phillip’s? Explain.

2.Hoopoe Corporation wants to borrow 100 million Canadian dollars at a fixed rate with a maturity of five years. It calculates that it can make an international bond issue with the following terms:

Interest: 10 5/8 percent payable annually.

Maturity: 5 years.

Issue expenses: .2 percent.

A bank has presented Hoopoe with a proposal for a Swiss franc issue combined with a currency swap into Canadian dollars. The proposed terms for the Swiss franc issue are

Amount: 200 million Swiss francs.

Interest: 5 3/8 percent annually.

Maturity: 5 years.

Issue expenses: .2 percent.

The counterparty of the swap would raise fixed dollars on the following terms:

Amount: 100 million Canadian dollars (equivalent to 200 million Swiss francs).

Interest: 10 5/8 percent annually.

Maturity: 5 years.

Issue expenses: .15 percent.

The counterparty would be happy with an all-in cost in Swiss francs of 6.45 percent.

a.Which alternative should Hoopoe take? (Ignore credit risk in your analysis.)

b.Suppose that you are the corporate treasurer of Hoopoe. Discuss the credit risk issues involved in the alternatives.

3.Consider the commodities and financial assets listed in Table 27.6. The risk-free interest rate is 6 percent a year, and the term structure is flat.

a.Calculate the six-month futures price for each case.

b.Explain how a magnoosium producer would use a futures market to lock in the selling price of a planned shipment of 1,000 tons of magnoosium six months from now.

c.Suppose the producer takes the actions recommended in your answer to ( b), but after one month magnoosium prices have fallen to $2,200. What happens? Will the

CHALLENGE QUESTIONS

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PART VIII Risk Management

 

 

 

 

 

 

 

 

 

T A B L E

2 7 . 6

 

 

 

 

Asset

Spot Price

Comments

 

 

 

 

Spot prices for selected

 

 

 

 

Magnoosium

$2,800 per ton

Net convenience yield

 

commodities and

 

 

 

4% per year

 

financial assets. See

 

 

 

Oat bran

$.44 per bushel

Net convenience yield

 

challenge

 

 

 

 

 

.5% per month

 

question 3.

 

 

 

Biotech stock index

140.2

Dividend 0

 

 

 

 

 

 

Allen Wrench Co.

$58.00

Cash dividend $2.4 per year

 

 

 

common stock

 

 

 

 

 

5-year Treasury note

108.93

8% coupon

 

 

 

Westonian ruple

3.1 ruples $1

12% interest rate in ruples

 

 

 

 

 

 

 

 

 

 

 

 

 

producer have to undertake additional futures market trades to restore its hedged position?

d.Does the biotech index futures price provide useful information about the expected future performance of biotech stocks?

e.Suppose Allen Wrench stock falls suddenly by $10 per share. Investors are confident that the cash dividend will not be reduced. What happens to the futures price?

f.Suppose interest rates suddenly fall. The spot rate for cash flows 6 months from now is 4 percent (per year); it is 4.5 percent for cash flows 12 months from now, 4.8 percent for cash flows 18 months from now, and 5 percent for all subsequent cash flows. What happens to the six-month futures price on the five-year Treasury note? What happens to a trader who shorted 100 notes at the futures price calculated in part (a)?

g.An importer must make a payment of one million ruples three months from now. Explain two strategies the importer could use to hedge against unfavorable shifts in the ruple–dollar exchange rate.

C H A P T E R T W E N T Y - E I G H T

M A N A G I N G INTERNATIONAL RI SK S

786

IN THE LAST chapter we considered the risks that flow from changes in interest rates and commodity prices. But companies with substantial overseas interests encounter a variety of other hazards, including political risks and currency fluctuations. Political risk means the possibility that a hostile foreign government will expropriate your business without compensation or not allow profits to be taken out of the country.

To understand currency risk, you first need to understand how the foreign exchange market works and how prices for foreign currency are determined. We therefore start this chapter with some basic institutional detail about the foreign exchange market and we will look at some simple theories that link exchange rates, interest rates, and inflation. We will use these theories to show how firms assess and hedge their foreign currency exposure.

When we discussed investment decisions in Chapter 6, we showed that financial managers do not need to forecast exchange rates in order to evaluate overseas investment proposals. They can simply forecast the foreign currency cash flows and discount these flows at the foreign currency cost of capital. In this chapter we will explain why this rule makes sense. It turns out that it is the ability to hedge foreign exchange risk that allows companies to ignore future exchange rates when making investment decisions.

We conclude the chapter with a discussion of political risk. We show that, while companies cannot restrain a determined foreign government, they can structure their operations to reduce the risk of hostile actions.

28.1 THE FOREIGN EXCHANGE MARKET

An American company that imports goods from France may need to buy euros to pay for the purchase. An American company exporting to France may receive euros, which it sells in exchange for dollars. Both firms make use of the foreign exchange market.

The foreign exchange market has no central marketplace. Business is conducted electronically. The principal dealers are the larger commercial banks and investment banks. A corporation that wants to buy or sell currency usually does so through a commercial bank. Turnover in the foreign exchange market is huge. In London in April 2001 $504 billion of currency changed hands each day. That is equivalent to an annual turnover of $126 trillion ($126,000,000,000,000). New York and Tokyo together accounted for a further $400 billion of turnover per day.1

Table 28.1 is adapted from the table of exchange rates in the Financial Times. Exchange rates are generally expressed in terms of the number of units of the foreign currency needed to buy one U.S. dollar. This is termed an indirect quote. In the first column of Table 28.1, the indirect quote for the yen shows that you can buy 120.700 yen for $1. This is often written as ¥120.700/$.

A direct exchange rate quote states how many dollars you can buy for one unit of foreign currency. The euro and the British pound sterling are usually shown as direct quotes.2 For example, Table 28.1 shows that £1 is equivalent to $1.4483 or, more concisely, $1.4483/£. If £1 buys $1.4483, then $1 must buy 1/1.4483 £.6905. Thus the indirect quote for the pound is £.6905/$.3

1The results of the triennial survey of foreign exchange business are published on www.bis.org/publ.

2The euro is the common currency of the European Monetary Union. The 12 members of the Union are Austria, Belgium, Finland, France, Germany, Greece, Ireland, Italy, Luxembourg, Netherlands, Portugal, and Spain.

3Foreign exchange dealers usually refer to the exchange rate between pounds and dollars as cable. In Table 28.1 cable is 1.4483.

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