Suppose the current spot rate for the Norwegian kroner is $1 = NKr6.6869. The expected inflation rate in Norway is 6 percent and in the U.S. it is 3.1 percent. A risk-free asset in the U.S. is yielding 4 percent. What risk-free rate of return should you expect on a Norwegian security? A.4.5 percent B.4.0 percent C. 6.9 percent D. 5.0 percent E. 3.5 percent
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The formula to calculate the expected risk-free rate of return on a foreign security using the Fisher Effect is:
Expected Risk-Free Rate = Nominal Risk-Free Rate + Expected Inflation Rate
Given:
Risk-free rate in the U.S. = 4%
Expected inflation rate in Norway = 6%
Using the Fisher Effect formula, we calculate the expected risk-free rate of return on a Norwegian security:
Expected Risk-Free Rate in Norway= 4% + 6% = 10%
However, this nominal risk-free rate doesn't account for the exchange rate differences between currencies, so to find the risk-free rate in terms of U.S. dollars, we should consider the difference in inflation rates between the U.S. and Norway:
Risk-Free Rate in terms of U.S. Dollars =
Expected Risk-Free Rate in Norway−Expected Inflation Rate in the U.S.
Risk-Free Rate in terms of U.S. Dollars = 10%−3.1%
Risk-Free Rate in terms of U.S. Dollars = 6.9%
Therefore, the risk-free rate you should expect on a Norwegian security in terms of U.S. dollars is 6.9 percent (option C).