TOPIC 1 MULTINATIONAL FINANCIAL MANAGEMENT: AN …
Tutorial Answers 6
1. Transaction Exposure. Fischer Inc., exports products from Florida to Europe. It obtains supplies and borrows funds locally. How would appreciation of the euro likely affect its net cash flows? Why?
ANSWER: Fischer Inc. should benefit from the appreciation of the euro, because it should experience a strong demand for its products when the euro has more purchasing power (can obtain dollars at a low price).
2. Transaction Exposure. Aggie Co. produces chemicals. It is a major exporter to Europe, where its main competition is from other U.S. exporters. All of these companies invoice the products in U.S. dollars. Is Aggie’s transaction exposure likely to be significantly affected if the euro strengthens or weakens? Explain. If the euro weakens for several years, can you think of any change that might occur in the global chemicals market?
ANSWER: If the euro strengthens, European customers can purchase Aggie’s goods with fewer euros. Since Aggie’s competitors also invoice their exports in dollars, Aggie Company will not gain a competitive advantage. Nevertheless, the overall demand for the product could increase because the chemicals are now less expensive to European customers.
If the euro weakens, European customers will need to pay more euros to purchase Aggie’s goods. Since Aggie’s competitors also invoice their exports in dollars, Aggie Company may not necessarily lose some of its market share. However, the overall European demand for chemicals could decline because the prices paid for them have increased.
If the euro remained weak for several years, some companies in Europe may begin to produce the chemicals, so that customers could avoid purchasing dollars with weak euros. That is, the U.S. exporters could be priced out of the European market over time if the euro continually weakened.
3. Hedging with Forward Contracts. Explain how a U.S. corporation could hedge net receivables in Malaysian ringgit with a forward contract.
Explain how a U.S. corporation could hedge payables in Canadian dollars with a forward contract.
ANSWER: The U.S. corporation could sell ringgit forward using a forward contract. This is accomplished by negotiating with a bank to provide the bank ringgit in exchange for dollars at a specified exchange rate (the forward rate) for a specified future date.
The U.S. corporation could purchase Canadian dollars forward using a forward contract. This is accomplished by negotiating with a bank to provide the bank U.S. dollars in exchange for Canadian dollars at a specified exchange rate (the forward rate) for a specified future date.
4. Currency Options. Relate the use of currency options to hedging net payables and receivables. That is, when should currency puts be purchased, and when should currency calls be purchased? Why would Cleveland, Inc., consider hedging net payables or net receivables with currency options rather than forward contracts? What are the disadvantages of hedging with currency options as opposed to forward contracts?
ANSWER: Currency call options should be purchased to hedge net payables. Currency put options should be purchased to hedge net receivables.
Currency options not only provide a hedge, but they provide flexibility since they do not require a commitment to buy or sell a currency (whereas the forward contract does).
A disadvantage of currency options is that a price (premium) is paid for the option itself. The only payment by a firm using a forward contract is the exchange of a currency as specified in the contract.
5. Currency Options. Can Brooklyn Co. determine whether currency options will be more or less expensive than a forward hedge when considering both hedging techniques to cover net payables in euros? Why or why not?
ANSWER: No. The amount paid out when using a forward contract is known with certainty. However, the amount paid out when using currency options is not known until the period is over (since the firm has the flexibility to exercise the option only if it is feasible). Thus, the MNC cannot determine whether currency options will be more or less expensive than forward contracts when hedging net payables.
6. Currency Diversification. Explain how a firm can use currency diversification to reduce transaction exposure.
ANSWER: If a firm has net inflows in a variety of currencies that are not highly correlated with each other, exposure is not as great as if the equivalent amount of funds were denominated in a single currency. This is because not all currencies will depreciate against the firm’s home currency simultaneously by the same degree. There may be a partial offsetting effect due to a diversified set of inflow currencies.
If the firm has net outflows in a variety of currencies, the same argument would apply.
7. Implications of IRP for Hedging. If interest rate parity exists, would a forward hedge be more favorable, equally favorable, or less favorable than a money market hedge on euro payables? Explain.
ANSWER: It would be equally favorable (assuming no transactions costs). If IRP exists, the forward premium on the forward rate would reflect the interest rate differential. The hedging of future payables with a forward purchase provides the same results as borrowing at the home interest rate and investing at the foreign interest rate to hedge euro payables.
[Note: In the real world, doing a money market hedge does involve transaction costs, particularly having to cross the bid/ask for each of the four legs of the transaction. By contrast, entering into a forward with a bank already packages all legs into a single transaction. However, the bank will still quote a (single) bid/ask spread on the forward, which may be cheaper or more expensive than doing the money market hedge, depending on how liquid is the currency being hedged.]
8. Real[ised] Cost of Hedging. Would Montana Co.’s real[ised] cost of hedging Japanese yen receivables have been positive, negative, or about zero on average over a period in which the dollar weakened consistently? Explain.
ANSWER: During the weak dollar period, the yen appreciated substantially against the dollar. Thus, the dollars received from hedging yen receivables would have been less than the dollars received if the yen receivables were not hedged. This implies that the real cost of hedging yen receivables would have been positive during the weak dollar period.
[In the real world, this question is not as simple as it seems. Yen is a relatively low yielding interest rate compared to USD (at least before the 2008 financial crisis!), which means the forward sale of yen would be at a premium to initial spot. Subsequently, yen would have strengthened, but the question is whether the amount it strengthens is greater or lesser than the forward premium on the yen. ]
9. Forward versus Options Hedge on Payables. If you are a U.S. importer of Mexican goods and you believe that today’s forward rate of the peso is a very accurate estimate of the future spot rate, do you think Mexican peso call options would be a more appropriate hedge than the forward hedge? Explain.
ANSWER: If the forward rate is close to or exceeds today’s spot rate [???], the forward hedge would be preferable because the call option hedge would require a premium to achieve about the same locked-in exchange rate. If the forward rate was much lower than today’s spot rate [???], the call option could be preferable because the firm could let the option expire and be better off.
[The model answer seems a bit confusing or even wrong???
(The model answer seems to suggest you would prefer a higher forward rate to buy MXN??? This does not really seem to make sense, if indeed this is the correct interpretation of the answer given. )
If you are an importer -> you have future payables in MXN, assuming that is the invoicing currency. Therefore, you are looking to buy MXN at the cheapest price possible. Then it becomes a question of whether the price quoted on the forward is acceptable (sufficiently cheap) to you! If it is acceptable, then you may just choose to use the forward, to avoid paying an option premium.
If however the forward rate is not acceptable, then it becomes a matter of whether you choose to leave the position open (unhedged) or to hedge your position using a call option on MXN, which entails paying a premium. This really depends on how risk-averse you are, and on how expensive the call options are.
Question – what is the significance of your belief that the forward accurately predicts the future spot rate? It probably simply means that the forward is fairly priced, and that you are not substantially worse off (lower expected value) if you choose to hedge with the forward versus leaving the position unhedged, or vice-versa. Compare to the next question. ]
10. Forward versus Options Hedge on Receivables You are an exporter of goods to the United Kingdom, and you believe that today’s forward rate of the British pound substantially underestimates the future spot rate. Company policy requires you to hedge your British pound receivables in some way. Would a forward hedge or a put option hedge be more appropriate? Explain.
ANSWER: A put option would be preferable because it gives you the flexibility to exchange pounds for dollars at the prevailing spot rate when receiving payment.
[My analysis of the situation is:
1. You are receiving GBP, so you want the highest selling price for your future GBP receivables.
2. You believe the forward substantially underestimates future spot price [expected future spot price] of GBP. This means you are expected on average to earn less USD from selling GBP forward, compared to if you did not hedge, and simply converted at the prevailing future spot rate.
3. However, company policy requires you to hedge, therefore you cannot simply leave the position open. Then it becomes a question of forward vs option hedge.
4. Since you believe the forward is unfairly priced (i.e. pays you less USD than the expected future spot rate), but you do not have the alternative to not hedge at all, then you may choose to use the option provided it is fairly priced.
]
Problems
1. Assessing Transaction Exposure. Your employer, a large MNC, has asked you to assess its transaction exposure. Its projected cash flows are as follows for the next year:
| | | |Current Exchange Rate in U.S. |
|Currency |Total Inflow |Total Outflow |Dollars |
|Danish krone (DK) |DK50,000,000 |DK40,000,000 | $.15 |
|British pound (£) | £2,000,000 | £1,000,000 |$1.50 |
Assume that the movements in the Danish krone and the pound are highly correlated. Provide your assessment as to your firm’s degree of transaction exposure (as to whether the exposure is high or low). Substantiate your answer.
ANSWER: The net exposure to each currency in U.S. dollars is derived below:
| |Net Inflows in |Current | |
|Foreign Currency |Foreign Currency |Exchange Rate |Value of Exposure |
|Danish krone (DK) |+DK10,000,000 | $.15 |$1,500,000 |
|British pound (£) | +£1,000,000 | $1.50 |$1,500,000 |
The krone and pound values move in tandem against the dollar. Both the krone and the pound exposure show positive net inflows. Thus, their exposure should be magnified if their exchange rates against the U.S. dollar continue to be highly correlated.
2. Consolidated Exposure. Quincy Corp. estimates the following cash flows in 90 days at its subsidiaries as follows:
Net Position in Each Currency Measured in
the Parent’s Currency (in 1000s of units)
Subsidiary Currency 1 Currency 2 Currency 3
A +200 –300 –100
B +100 –40 –10
C –180 +200 –40
Determine the consolidated net exposure of the MNC to each currency.
ANSWER:
The net exposure to Currency 1 is 120,000 units;
the net exposure to Currency 2 is –140,000 units;
the net exposure to Currency 3 is –150,000 units.
3. Money Market Hedge on Payables. Assume that Vermont Co. has net payables of 200,000 Mexican pesos in 180 days. The Mexican interest rate is 7% over 180 days [Note – this is absolute or unannualised interest!], and the spot rate of the Mexican peso is $.10. Suggest how the U.S. firm could implement a money market hedge. Be precise.
ANSWER: If the firm deposited MXP186,916 (computed as MXP200,000/1.07) into a Mexican bank earning 7% over 6 months, the deposit would be worth 200,000 pesos at the end of the six-month period. This amount would then be used to take care of the net payables. To make the initial deposit of 186,916 pesos, the firm would need about $18,692 (computed as 186,916 × $.10). It could borrow these funds.
[Note: This money market hedge type of question looks similar to, but is different from, the covered interest arbitrage (CIA) types of question:
|CIA: | |
| | |
| | |
| | |
| | |
| | |
|Money market | |
|hedge | |
Note that in the hedging type of question, you do not need to find out which currency is more profitable to borrow or lend, unlike the CIA type of question. This is because you already know which currency you need to buy or sell forward, based on your receivable or payable.
However, you may still need to calculate your effective cost from the money market hedge, and be able to compare it to the price for an equivalent market forward rate, to determine which is more attractive. ]
4. Real[ised] Cost of Hedging Receivables. Assume that Bentley Co. negotiated a forward contract to sell 100,000 Canadian dollars in one year. The one-year forward rate on the Canadian dollar was $.80. This strategy was designed to hedge receivables in Canadian dollars. On the day the Canadian dollars were to be sold in accordance with the forward contract, the spot rate of the Canadian dollar was $.83. What was the real cost of hedging receivables for this U.S. firm?
Repeat the question, except assume that the spot rate of the Canadian dollar was $.75 on the day the Canadian dollars were to be sold in accordance with the forward contract. What was the real cost of hedging receivables in this example?
ANSWER:
The nominal amount of hedged receivables = $.80(100,000) = $80,000. The nominal amount of receivables if unhedged = $.83(100,000) = $83,000. The real cost of hedging receivables = $83,000 – $80,000 = $3,000.
The nominal amount of hedged receivables = $.80(100,000) = $80,000. The nominal amount of receivables if unhedged = $.75(100,000) = $75,000. The real cost of hedging receivables is $75,000 – $80,000 = –$5,000. (note: negative cost suggest gain from hedging)
5. Forward versus Money Market Hedge on Payables. Assume the following information:
90-day U.S. interest rate = 4% [Note- absolute / unannualised interest]
90-day Malaysian interest rate = 3%
90-day forward rate of Malaysian ringgit = $.400
Spot rate of Malaysian ringgit = $.404
Assume that the Santa Barbara Co. in the United States will need 300,000 ringgit in 90 days. It wishes to hedge this payables position. Would it be better off using a forward hedge or a money market hedge? Substantiate your answer with estimated costs for each type of hedge.
ANSWER: If the firm uses the forward hedge, it will pay out 300,000($.400) = $120,000 in 90 days.
If the firm uses a money market hedge, it will invest (300,000/1.03) = 291,262 ringgit now in a Malaysian deposit that will accumulate to 300,000 ringgit in 90 days. This implies that the number of U.S. dollars to be borrowed now is (291,262 × $.404) = $117,670. If this amount is borrowed today, Santa Barbara will need $122,377 to repay the loan in 90 days (computed as $117,670 × 1.04 = $122,377).
In comparison, the firm will pay out $120,000 in 90 days if it uses the forward hedge and $122,377 if it uses the money market hedge. Thus, it should use the forward hedge.
[Question – what is the effective forward price for the money market hedge?]
6. Forward versus Money Market Hedge on Receivables. Assume the following information:
180-day U.S. interest rate = 8%
180-day British interest rate = 9%
180-day forward rate of British pound = $1.50
Spot rate of British pound = $1.48
Assume that Riverside Corp. from the United States will receive 400,000 pounds in 180 days. Would it be better off using a forward hedge or a money market hedge? Substantiate your answer with estimated revenue for each type of hedge.
ANSWER: If the firm uses a forward hedge, it will receive 400,000($1.50) = $600,000 in 180 days.
If the firm uses a money market hedge, it will borrow (400,000/$1.09) = 366,972 pounds, to be converted to U.S. dollars and invested in the U.S. The 400,000 pounds received in 180 days will pay off this loan. The 366,972 pounds borrowed convert to about $543,119 (computed as 366,972 × $1.48), which when invested at 8% interest will accumulate to be worth about $586,569.
In comparison, the firm will receive $600,000 in 180 days using the forward hedge, or about $586,569 in 180 days using the money market hedge. Thus, it should use the forward hedge.
[Question – what is the effective forward price for the money market hedge?]
7. Hedging With Put Options. As treasurer of Tucson Corp. (a U.S. exporter to New Zealand), you must decide how to hedge (if at all) future receivables of 250,000 New Zealand dollars 90 days from now. Put options are available for a premium of $.03 per unit and an exercise price of $.49 per New Zealand dollar. The forecasted spot rate of the NZ$ in 90 days follows:
Future Spot Rate Probability
$.44 30%
.40 50
.38 20
Given that you hedge your position with options, create a probability distribution for U.S. dollars to be received in 90 days.
ANSWER:
| | | |Amount per Unit | | |
| | | |Received Accounting |Total Amount Received | |
|Possible Spot Rate |Put Option |Exercise Option? |for Premium |for NZ$250,000 | |
| |Premium | | | |Probability |
|$.44 |$.03 |Yes |$.46 |$115,000 |30% |
|$.40 |$.03 |Yes |$.46 |$115,000 |50% |
|$.38 |$.03 |Yes |$.46 |$115,000 |20% |
The probability distribution represents a 100% probability of receiving $115,000, based on the forecasts of the future spot rate of the NZ$.
8. Hedging Payables with Currency Options. Malibu, Inc., is a U.S. company that imports British goods. It plans to use call options to hedge payables of 100,000 pounds in 90 days. Three call options are available that have an expiration date 90 days from now. Fill in the number of dollars needed to pay for the payables (including the option premium paid) for each option available under each possible scenario.
Spot Rate
of Pound Exercise Price Exercise Price Exercise Price
90 Days = $1.74; = $1.76; = $1.79;
Scenario from Now Premium = $.06 Premium = $.05 Premium = $.03
1 $1.65
2 1.70
3 1.75
4 1.80
5 1.85
If each of the five scenarios had an equal probability of occurrence, which option would you choose? Explain.
ANSWER:
Spot Rate
of Pound Exercise Price Exercise Price Exercise Price
90 Days = $1.74; = $1.76; = $1.79;
Scenario from Now Premium = $.06 Premium = $.05 Premium = $.03
1 $1.65 $171,000 $170,000 $168,000
2 1.70 176,000 175,000 173,000
3 1.75 180,000 180,000 178,000
4 1.80 180,000 181,000 182,000
5 1.85 180,000 181,000 182,000
Assuming equal probability of all scenarios, the expected value of payables would be $177400, $177400 and $176600 respectively. Thus, indicating that the option with the $.03 premium is slightly better than the other two options.
[Note: Under some scenarios above, you do not exercise the call option. In that case, your effective cost of buying the pounds = $(spot rate 90 days from now + premium)/pound. Work out which scenarios you do and do not exercise, and the corresponding cost of buying the pounds].
9. Comparison of Techniques for Hedging Payables
Assume that Carbondale Co. expects to pay S$1 million in one year. The existing spot rate of the Singapore dollar is $.60. The one-year forward rate of the Singapore dollar is $.62. Carbondale created a probability distribution for the future spot rate in one year as follows:
Future Spot Rate Probability
$.61 20%
.63 50
.67 30
Assume that one-year put options on Singapore dollars are available with an exercise price of $.63 and a premium of $.04 per unit. One-year call options on Singapore dollars are available with an exercise price of $.60 and a premium of $.03 per unit. Assume the following money market rates:
U.S. Singapore
Deposit rate 8% 5%
Borrowing rate 9 6
Given this information, determine whether a forward hedge, money market hedge, or a currency options hedge would be most appropriate. Then compare the most appropriate hedge to an unhedged strategy, and decide whether Carbondale should hedge its payables position.
ANSWER:
Forward hedge
Purchase S$1,000,000 one year forward:
This will cost $620,000 (1,000,000 × $.62) in one year time
Money market hedge
1. Need to invest S$952,381 (S$1,000,000/1.05 = S$952,381)
2. Need to borrow $571,429 (S$952,381 × $.60 = $571,429)
3. Will need $622,857 to repay the loan in one year ($571,429 × 1.09 = $622,857)
Thus the comparable cost of hedging in the money market would be $622,857
Call option hedge (Exercise price = $.60; premium = $.03)
Amount Paid Total
Option per Unit Amount
Possible Premium Exercise (including Paid for Prob-
Spot Rate per Unit Option? the premium) S$1,000,000 ability
$.61 $.03 Yes $.63 $630,000 20%
.63 .03 Yes .63 630,000 50
.67 .03 Yes .63 630,000 30
Expected cost of payables using call option = $630,000.
Which hedging strategy is the most appropriate?
Comparison of above hedging strategies indicates that the forward hedge is the optimal strategy in this case.
Should the firm hedge or not?
Unhedged Strategy
Total
Possible Amount Paid
Spot Rate for S$1000,000 Probability
$.61 $610,000 20%
.63 630,000 50
.67 670,000 30
The forward hedge is preferable to the unhedged strategy because there is an 80 percent chance that it will outperform the unhedged strategy and may save the firm up to $50,000 (670,000 – 620,000).
Note: The expected cost of payables without hedging is $638,000 compared to $620,000 with forward hedge.
10 Comparison of Techniques for Hedging Receivables.
Assume that Carbondale Co. expects to receive S$500,000 in one year. The existing spot rate of the Singapore dollar is $.60. The one-year forward rate of the Singapore dollar is $.62. Carbondale created a probability distribution for the future spot rate in one year as follows:
Future Spot Rate Probability
$.61 20%
.63 50
.67 30
Assume that one-year put options on Singapore dollars are available, with an exercise price of $.63 and a premium of $.04 per unit. One-year call options on Singapore dollars are available with an exercise price of $.60 and a premium of $.03 per unit. Assume the following money market rates:
U.S. Singapore
Deposit rate 8% 5%
Borrowing rate 9 6
Given this information, determine whether a forward hedge, money market hedge, or a currency options hedge would be most appropriate. Then compare the most appropriate hedge to an unhedged strategy, and decide whether Carbondale should hedge its receivables position.
ANSWER:
Forward hedge
By selling S$500,000 forward, Carbondale will receive $310,000 (500,000 × $.62) in one year.
Money market hedge
1. Borrow S$471,698 (S$500,000/1.06 = S$471,698)
2. Convert S$471,698 to $283,019 (at $.60 per S$)
3. Invest the $283,019 at 8% to earn $305,660 by the end of the year
Thus, the comparable value of receivables is $305,660.
Put option hedge (Exercise price = $.63; premium = $.04)
| | | |Amount Received per | | |
| | | |Unit (also accounting | | |
| |Option Premium per | |for premium) |Total Amount Received | |
|Possible Spot Rate |Unit | | |for S$500,000 | |
| | |Exercise | | |Probability |
|$.61 |$.04 |Yes |$.59 |$295,000 |20% |
|$.63 |$.04 |Yes or No |$.59 |$295,000 |50% |
|$.67 |$.04 |No |$.63 |$315,000 |30% |
Expected value of receivables using put option hedge = $301,000
Which hedge is most appropriate?
The forward hedge is superior to the money market hedge and has a 70% chance of outperforming the put option hedge. Therefore, the forward hedge is the optimal hedge.
Unhedged Strategy
| |Total Amount Received for S$500,000 | |
|Possible Spot Rate | |Probability |
|$.61 |$305,000 |20% |
|$.63 |$315,000 |50% |
|$.67 |$335,000 |30% |
Expected value of receivables without hedging = $319.000.
Should the firm hedge or not?
Considering that the expected value of receivables without hedging is more than the optimal hedge (the forward hedge), it may be better to remain unhedged.
and/or
When comparing the optimal hedge (the forward hedge) to no hedge, the unhedged strategy has an 80% chance of outperforming the forward hedge. Therefore, the firm may desire to remain unhedged.
11. Expected Cost of Hedging Payables. Assume that Loras Corp. imported goods from New Zealand and needs 100,000 New Zealand dollars 180 days from now. It is trying to determine whether to hedge this position. Loras has developed the following probability distribution for the New Zealand dollar:
Possible Value of
New Zealand Dollar in 180 Days Probability
$.40 5%
.45 10%
.48 30%
.50 30%
.53 20%
.55 5%
The 180-day forward rate of the New Zealand dollar is $.52. The spot rate of the New Zealand dollar is $.49. Develop a table showing a feasibility analysis for hedging. That is, determine the possible differences between the costs of hedging versus no hedging. What is the probability that hedging will be more costly to the firm than not hedging? Determine the expected value of the additional cost of hedging.
ANSWER:
| | | | | |
| | | |Amount of U.S. Dollars Needed | |
| | | |to Buy 100,000 NZ$ if Firm | |
|Possible Spot Rate of New | |Nominal Cost of Hedging |Remains Unhedged | |
|Zealand Dollar | |100,000 NZ$ | |Cost of Hedging|
| |Probability | | | |
|$.40 | 5% |$52,000 |$40,000 | $12,000 |
|$.45 |10% |$52,000 |$45,000 | $7,000 |
|$.48 |30% |$52,000 |$48,000 | $4,000 |
|$.50 |30% |$52,000 |$50,000 | $2,000 |
|$.53 |20% |$52,000 |$53,000 | -$1,000 |
|$.55 | 5% |$52,000 |$55,000 | -$3,000 |
Above calculations show that there is a 75% probability that hedging will be more costly than no hedge.
Alternatively, the expected RCH is = 5%($12,000) + 10%($7,000) + 30%($4,000) + 30%($2,000) + 20%(–$1,000) + 5%(–$3,000)
= $600 + $700 + $1200 + $600 – $200 – $150
= $2,750, which is positive, indicating that hedging is not advisable.
-----------------------
USD/¥
Time
S0
F0
S1
Whether there will be a realized gain/loss on the forward hedge depends on whether the final spot price (S1) is greater or lesser than the forward price (F0):
S1 < F0 => realised profit from hedge
S1 > F0 => realised loss from hedge
Note : This assumes you sell yen forward.
Borrow currency A
Lend currency B
Earn interest iB
Pay interest iA
Owe (short) currency A
Receive (long) currency B
This is a synthetic forward – receive B, pay A
Borrow currency A
Lend currency B
Earn interest iB
Pay interest iA
Owe (short) currency A
Receive (long) currency B
This is a synthetic forward – receive B, pay A
You enter into a market forward in the opposite direction to the synthetic forward. Your arbitrage profits come from the difference between the synthetic forward price versus the market forward price
A money-market hedge uses all the components of CIA, except that you do not enter into a market forward. Instead, the synthetic forward is used to hedge against your payable/receivable in the foreign currency!
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