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Business managers often need to forecast future exchange rates to hedge their ri

ID: 2798024 • Letter: B

Question

Business managers often need to forecast future exchange rates to hedge their risks. One method for forecasting future exchange rates is to use observed interest rate differentials. Dual Purposes Products Co., a u.s.-based company, conducts hundreds of business transactions in South Korea. For planning purposes, the company needs to know the estimates of the five-year spot rate for the won per dollar. The company needs to find these estimates, so the finance department's forecasting team has gathered the following information Inflation in South Korea is expected to be 6.0% on average for the next five years, and inflation in the United States is expected to be 3.0% on average for the same period. The yield on five-year South Korean government bonds is 10.5% per year, whereas the yield on five-year U.S. government bonds is 7.5% per year. The current exchange rate is 0.0008993 dollars per won (USD/KRW). The forecasting team also took into account the differences in the political risk of the two countries. They accounted one percentage point of this yield differential for political risk differences between the United States and South Korea, with the United States perceived as having the lower political risk. Thus, the comparable yield on the five-year South Korean government bonds would actually be 9.5%. If the real rates in the two countries are equalized, the difference observed in the yield is likely to be due to The team's forecast of the five-year future spot rate for the won (versus the U.S. dollar) using the information available is: O 0.000883 dollars per won O 0.004820 dollars per won O 0.000820 dollars per won O 0.000784 dollars per won Thus, the value of the won will against the U.S. dollar in five years. Flash Player WIN 27,0,0,187 3.34.1 © 2004-2016 Aplia. Al rights reserved. 2013 Cengage Learning except as noted. All rights reserved. Grade It Now Save & Continue

Explanation / Answer

a.) Real Rate in South Korea = (1+Nominal Rate)/(1+Inflation) - 1 = (1+0.095)/(1+0.06) - 1 =3.30%

Real Rate in USA = (1+Nominal Rate)/(1+Inflation) - 1 = (1+0.075)/(1+0.03) - 1 =4.37%

Difference in Yields on Real Rates = 4.37% - 3.30% =1.07%

b.) Five Years Future Rate = Spot Rate x (1+Domestic Rate)/(1+Foregin Rate)

                                       = 0.0008993 x (1+0.075)/(1+0.095)

                                       = 0.000883 dollars per won

Hence, Option-a is the right answer.

c.) The value of the Won will appreciate against the US dollar in 5 years.