Homework problems – Foreign Exchange transaction risk Problems Please work and post your answers to problems A. Krystal. Krystal is a U.S.-based company that manufactures, sells, and installs water...

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Homework problems – Foreign Exchange transaction risk Problems


Please work and post your answers to problems


A. Krystal. Krystal is a U.S.-based company that manufactures, sells, and installs water purification equipment. On April 11, the company sold a system to the City of Nagasaki, Japan, for installation in Nagasaki’s famous Glover Gardens (where Puccini’s Madame Butterfly waited for the return of Lt. Pinkerton). The sale was priced in yen at ¥20,000,000, with payment due in three months.






















Spot exchange rate:



¥118.255/$ (closing mid-rates)



1-month forward rate:



¥117.760/$, a 5.04% per annum premium



3-month forward:



¥116.830/$, a 4.88% per annum premium



1-year forward:



¥112.450/$, a 5.16% per annum premium



































Money Rates




United States




Japan




Differential



One month



4.8750%



0.09375%



4.78125%



Three months



4.9375%



0.09375%



4.84375%



Twelve months



5.1875%



0.31250%



4.87500%





Note that the interest rate differentials vary slightly from the forward discounts on the yen because of time differences for the quotes. The spot ¥118.255/$, for example, is a mid-point range. On April 11, the spot yen traded in London from ¥118.30/$ to ¥117.550/$. Aquatech’s Japanese competitors are currently borrowing yen from Japanese banks at a spread of two percentage points above the Japanese money rate. Krystal’s weighted average cost of capital is 16%, and the company wishes to protect the dollar value of this receivable. 3-month options are available from Kyushu Bank: call option on ¥20,000,000 at exercise price of ¥118.00/$: a 1% premium; or a put option on ¥20,000,000, at exercise price of ¥118.00/$: a 3% premium.


What are the costs and benefits of alternative hedges? Which would you recommend, and why? What is the break-even reinvestment rate when comparing forward and money market alternatives?



B. Caribou River. Caribou River, Ltd., a Canadian manufacturer of raincoats, does not selectively hedge its transaction exposure. Instead, if the date of the transaction is known with certainty, all foreign currency denominated cash flows must utilize the following mandatory forward cover formula:



























Mandatory Forward Cover




0–90 days




91–180 days




180 days



Paying the points forward



75%



60%



50%



Receiving the points forward



100%



90%



50%





Caribou expects to receive multiple payments in Danish kroner over the next year. DKr3,000,000 is due in 90 days; DKr2,000,000 is due in 180 days; and DKr1,000,000 is due in one year.


Using the following spot and forward exchange rates, what would be the amount of forward cover required by company policy for each period?























Spot rate, Dkr/C$



4.70



3-month forward rate, Dkr/C$



4.71



6-month forward rate, Dkr/C$



4.72



12-month forward rate, Dkr/C$



4.74





C. Pupule Travel. Pupule Travel, a Honolulu, Hawaii-based 100% privately owned travel company, has signed an agreement to acquire a 50% ownership share of Taichung Travel, a Taiwan-based privately owned travel agency specializing in servicing inbound customers from the United States and Canada. The acquisition price is 7 million Taiwan dollars (T$7,000,000) payable in cash in three months. Thomas Carson, Pupule Travel’s owner, believes the Taiwan dollar will either remain stable or decline slightly over the next three months. At the present spot rate of T$33.40/$, the amount of cash required is only $200,000, but even this relatively modest amount will need to be borrowed personally by Thomas Carson. Taiwanese interest-bearing deposits by non-residents are regulated by the government, and are currently set at 1.5% per year. He has a credit line with Bank of Hawaii for $200,000 with a current borrowing interest rate of 8% per year. He does not believe that he can calculate a credible weighted average cost of capital since he has no stock outstanding and his competitors are all also privately held. Since the acquisition would use up all his available credit, he wonders if he should hedge this transaction exposure. He has the following quotes from the Bank of Hawaii:




























Spot rate (T$/$)



33.40



3-month forward rate (T$/$)



32.40



3-month Taiwan dollar deposit rate



1.500%



3-month dollar borrowing rate



6.500%



3-month call option on T$



not available




Analyze the costs and risks of each alternative, and then make a recommendation as to which alternative Thomas Carson should choose. 10.10 Mattel Toys. Mattel is a U.S.-based company whose sales are roughly two-thirds in dollars (Asia and the Americas) and one-third in euros (Europe). In September, Mattel delivers a large shipment of toys (primarily Barbies and Hot Wheels) to a major distributor in Antwerp. The receivable, €30 million, is due in 90 days, standard terms for the toy industry in Europe. Mattel’s treasury team has collected the following currency and market quotes. The company’s foreign exchange advisors believe the euro will be at about $1.4200/€ in 90 days. Mattel’s management does not use currency options in currency risk management activities. Advise Mattel on which hedging alternative is probably preferable.







































Current spot rate ($/€)



$1.4158



Credit Suisse 90-day forward rate ($/€)



$1.4172



Barclays 90-day forward rate ($/€)



$1.4195



Mattel Toys WACC ($)



9.600%



90-day eurodollar interest rate



4.000%



90-day euro interest rate



3.885%



90-day eurodollar borrowing rate



5.000%



90-day euro borrowing rate



5.000%





D. Burton Manufacturing.( extra Credit )


Jason Stedman is the director of finance for Burton Manufacturing, a U.S.-based manufacturer of handheld computer systems for inventory management. Burton’s system combines a low-cost active tag that is attached to inventory items (the tag emits an extremely low-grade radio frequency) with custom-designed hardware and software that tracks the low-grade emissions for inventory control. Burton has completed the sale of an inventory management system to a British firm, Pegg Metropolitan (UK), for a total payment of £1,000,000. The exchange rates shown at the bottom of this page were available to Burton on the dates shown, corresponding to the events of this specific export sale. Assume each month is 30 days.


a. What will be the amount of foreign exchange gain (loss) upon settlement?


b. If Jason hedges the exposure with a forward contract, what will be the net foreign exchange gain (loss) on settlement?





























































c.

Problem 10.13: Burton Manufacturing




Date




Event




Spot Rate ($/£)




Forward Rate ($/£)




Days Forward



February 1



Price quotation for Pegg



1.7850



1.7771



210



March 1



Contract signed for sale



1.7465



1.7381



180



Contract amount, pounds



£1,000,000



June 1



Product shipped to Pegg



1.7689



1.7602



90



August 1



Product received by Pegg



1.7840



1.7811



30



September 1



Grand Met makes payment



1.7290


















































Assumption




Value



Shipment of phosphates from Morocco, Moroccan dirhams



6,000,000



Micca’s cost of capital (WACC)



14.000%



Spot exchange rate, dirhams/$



10.00



6-month forward rate, dirhams/$



10.40



United States



Morocco



Six-month interest rate for borrowing (per annum)



6.000%



8.000%



Six-month interest rate for investing (per annum)



5.000%



7.000%





Please follow the following instructions in completing and posting your answers


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I usually advise students to: (a) write a short narrative of what the problem is calling for and the formulas that you will need to get the answer (b) separate the data given (c) create a work station that you do intermediate calculations ( d) check to see if the answer that you have gotten matches what you were looking for and box your response


Following these steps will make life a lot easier and the work more enjoyable








Answered Same DayJun 20, 2021

Answer To: Homework problems – Foreign Exchange transaction risk Problems Please work and post your answers to...

Tanmoy answered on Jun 20 2021
143 Votes
Sheet1
        Krystal
        Assumptions        Values
        Amount of receivable, Japanese yen (¥)        20000000
        Spot exchange rate at time of sale (¥/$)        118.255
         Booked value of sale (amount/spot rate)        169126.04
        Days receivable due        90
        Krystal's WACC        16%
        Competitor borrowing premium, yen (¥)        2%
        Forward rates and premiums        Forward Rate    Premium
        One-m
onth forward rate (¥/$)        117.76    5.04%
        Three-month forward rate (¥/$)        116.83    4.88%
        One-year forward rate (¥/$)        112.45    5.16%
        Investment rates, % per annum        United States    Japan
        1 month        4.87500%    0.09375%
        3 months        4.93750%    0.09375%
        12 months        5.18750%    0.31250%
        Purchased options        Strike (Yen/ $)    Premium
        3-month call option on yen        118.0    1.0%
        3-month put option on yen        118.0    3.0%
        a. Alternative Hedges        Values    Certainty
        1. Remain uncovered.
        Account receivable (yen)        20000000
        Possible spot rate in 90 days (yen/$)        118.255
        Cash settlement in 90 days (US$)        169126.04    Uncertain
        2. Forward market hedge.
        Account receivable (yen)        20000000
        Forward rate (won/$)        116.83
        Cash settlement in 90 days (US$)        171188.906958829    Certain
        3. Money market hedge.
        Account receivable (yen)        20000000
        Discount factor for 90 days        1.00523    1 + ((.0009375 + .02) x 90/360)
        Yen proceeds up front        19895858
        Current spot rate (won/$)        118.255
        US dollars received now        168245.38176203
        Carry forward at Aquatech's WACC        1.0400    1 + (.16 x 90/360)
        Proceeds in 90 days        174975.197032512    Certain
        4. Put option hedge. (Need to sell yen = put on yen)
        Option principal        20000000
        Current spot rate (won/$)        118.255
        Premium cost of option (%)        3.0%
        Option pm (principal/spot rate x % pm)        5073.78
        If option exercised, dollar proceeds        169491.53
        Less Pm carried forward 90 days        -5276.73    1.04 carry-forward rate
        Net proceeds in 90 days        164214.79    Minimum
        The put option does not GUARANTEE the company of settling for the booked amount.
        The money market and forward hedges do; the money market yielding the higher proceeds.
        b) Breakeven rate between the money market and the forward hedge is determined by the reinvestment rate:
        Money market, US$ up-front        168245.38176203
        Forward contract, US$, end of 90 days        171188.906958829
        (1 + x)        101.750%    $168,245.38 (1+x) = $171,188.91
        x         1.74954%    For 90 days
        Breakeven rate, % per annum        $0.06998
Sheet2
        Caribou River
        Assumptions    Values    Forward Discount
        Spot rate, DKr/C$    4.70
        3-month forward rate, DKr/C$    4.71    -0.85%
        6-month forward rate, DKr/C$    4.72    -0.85%
        12-month forward rate, DKr/C$    4.74    -0.84%
        South Face's Exposures    0-90 days    91-180 days    >180 days
        A/R due in 3 months, DKr    3000000.00
        A/R due in 6 months, DKr        2000000
        A/R due in 12-months, DKr            1000000
        Analysis & Exposure Management
        The Danish krone is selling forward at a discount versus the Canadian dollar: it takes more DKr/C$ forward.
        Caribou River is receiving foreign currency, DKr, at future dates ("long DKr").
        Caribou River is therefore expecting to PAY THE POINTS FORWARD.
        Required Forward Cover for Compass Rose:    0-90 days    91-180 days    >180 days
        A/R due in 3 months, DKr    75%
        A/R due in 6 months, DKr        60%
        A/R due in 12-months, DKr            50%
        DKr Forward Cover
        A/R due in 3 months, DKr    2250000
        A/R due in 6 months, DKr        1200000
        A/R due in 12-months, DKr            500000
        Expected Canadian dollar value of DKr sold forward    477707.01    254237.29    105485.23
Sheet3
        Pupule Travel
        Assumptions    Values
        Acquisition price & 3-month A/P, NewTaiwan dollars (T$)    7000000
        Spot rate...
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