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To benefit from the low correlation between the Swiss Franc (CHF) and the Japanese yen (JPY), Smith Corporation decides to borrow 50% of funds needed

To benefit from the low correlation between the Swiss Franc (CHF) and the Japanese yen (JPY), Smith Corporation decides to borrow 50% of funds needed in CHF and the remaining 50% in JPY. The domestic U.S. financing rate for a one-year loan is 7%. The Swiss one-year interest rate is 6% and the Japanese one-year interest rate is 10%. Smith has determined the following possible percentage changes in the two individual currencies as follows:

Currency

Percentage Change

Probability

Swiss Franc

2.0%

30%

Swiss Franc

4.0%

70%

Japanese yen

-3.0%

60%

Japanese yen

1.0%

40%

What is the expected effective dollar financing rate of the portfolio Smith is contemplating (assume the two currencies move independently from one another, in other words Corr = 0)?

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