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How could the investor have hedged his risk

Problem: In 1990, a Japanese investor paid $100 million for an office building in downtown Los Angeles. At the time, the exchange rate was ¥145/$1. When the investor went to sell the building five years later, in early 1995, the exchange rate was ¥85/$1 and the building's value had collapsed to $50 million.

Q1. What exchange risk did the Japanese investor face at the time of his purchase?

Q2. How could the investor have hedged his risk?

Q3. Suppose the investor financed the building with a 10 percent downpayment in yen and a 90 percent dollar loan accumulating interest at the rate of 8 percent per annum. Since this is a zero-coupon loan, the interest on it (along with the principal) is not due and payable until the building is sold. How much has the investor lost in yen terms? In dollar terms?

Q4. Suppose the investor financed the building with a 10 percent downpayment in yen and a 90 percent yen loan accumulating interest at the rate of 3 percent per annum. Since this is a zero-coupon loan, the interest on it (along with the principal) is not due and payable until the building is sold. How much has the investor lost in yen terms? In dollar terms?

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## Q : What is the future value invested today

What is the future value of $1000 invested today if it earns 10% interest for 1 year? 2 years?