qn2 solutions

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10. Jacksonville Corp. is a U.S.-based firm that needs $600,000. It has no business in Japan but is considering one-year financing with Japanese yen, because the annual interest rate would be 5 percent versus 9 percent in the United States. Assume that interest rate parity exists. (Chapter 20, Question 160. a) Can Jacksonville benefit from borrowing Japanese yen and simultaneously purchasing yen one year forward to avoid exchange rate risk? Explain. ANSWER: If Jacksonville borrows yen and simultaneously purchases yen one year forward, it will pay a forward premium that will offset the interest rate differential (given that interest rate parity exists). Based on interest rate parity, the forward premium is about 3.8%. The effective financing rate would be: (1 + 5%)(1 + 3.8%) – 1 = about 9% b) Assume that Jacksonville does not cover its exposure and uses the forward rate to forecast the future spot rate. Determine the expected effective financing rate. Should Jacksonville finance with Japanese yen? Explain. ANSWER: If it does not cover the exposure but uses the forward rate as a forecast, the expected percentage change in the Japanese yen’s value is about 3.8 percent. Thus, the expected effective financing rate is 9%. Jacksonville should therefore finance with dollars rather than Japanese yen, since the expected cost of financing with dollars is not higher. c) Assume that Jacksonville does not cover its exposure and expects that the Japanese yen will appreciate by 5 percent, 3 percent, or 2 percent, and with equal probability of each occurrence. Use this information to determine the probability distribution of the effective financing rate. Should Jacksonville finance with Japanese yen? Explain.

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Page 1: Qn2 Solutions

10. Jacksonville Corp. is a U.S.-based firm that needs $600,000.  It has no business in Japan but is considering one-year financing with Japanese yen, because the annual interest rate would be 5 percent versus 9 percent in the United States.  Assume that interest rate parity exists.  (Chapter 20, Question 160.

 a)   Can Jacksonville benefit from borrowing Japanese yen and simultaneously purchasing

yen one year forward to avoid exchange rate risk?  Explain.  ANSWER:  If Jacksonville borrows yen and simultaneously purchases yen one year

forward, it will pay a forward premium that will offset the interest rate differential (given that interest rate parity exists).  Based on interest rate parity, the forward premium is about 3.8%.  The effective financing rate would be:

       (1 + 5%)(1 + 3.8%) – 1 = about 9%

  b)   Assume that Jacksonville does not cover its exposure and uses the forward rate to forecast the

future spot rate.  Determine the expected effective financing rate.  Should Jacksonville finance with Japanese yen?  Explain.

 ANSWER:  If it does not cover the exposure but uses the forward rate as a forecast, the expected percentage change in the Japanese yen’s value is about 3.8 percent.  Thus, the expected effective financing rate is 9%.  Jacksonville should therefore finance with dollars rather than Japanese yen, since the expected cost of financing with dollars is not higher.

c)   Assume that Jacksonville does not cover its exposure and expects that the Japanese yen will appreciate by 5 percent, 3 percent, or 2 percent, and with equal probability of each occurrence.  Use this information to determine the probability distribution of the effective financing rate.   Should Jacksonville finance with Japanese yen?  Explain.

 ANSWER:           

Possible % Change in Spot Rate of JY

Effective Financing Rate of JY if that % Change Occurs

 Probability

5% (1.05)(1.05) – 1 =  10.25% 33.3%3% (1.05)(1.03) – 1 =    8.15 33.3%2% (1.05)(1.02) – 1 =    7.10 33.3%

                 Given the probability, there is about a 67 percent chance that financing with Japanese

yen will be less costly than financing with dollars.  The choice of financing with yen or dollars in this case is dependent on Jacksonville’s degree of risk aversion.