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On June 1, the 4-month interest rates in Switzerland and the United States were, respectively, 2%...

On June 1, the 4-month interest rates in Switzerland and the United States were, respectively, 2% and 5% per annum with discrete compounding. The spot price of the Swiss franc was $0.8000/CHF. You took a short position of a CHF forward, CHF 100,000, delivery on October 1. One month later on July 1, three-month interest rates in Switzerland and the United States were, respectively, 2.5% and 4.5% per annum with discrete compounding. The spot exchange rate on the Swiss franc is $0.8020/CHF. On July 1, what is the value of your short position you entered on June 1? Assume the forward contract prices are arbitrage free prices.

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Answer #1

Here a person takes short position on 100,000 CHF and on June 1 the spot price was 1 chf = $0.80 .

The 4 month difference in interest rate was 3% hence the forward rate of chfusd will be , 1chf = $0.808 at that point of time. And the value of short position. in terms of dollars is 808000.

After 1 month spot price becomes 1 chf = $0.8020 and the difference in 3 months interest rate becomes 2% , Switzerland interest rate being lower, the 3 months forward rate should be .

1chf = $0.8020 (1+(2%/4)) = $0.80601

Hence the value of short position at June 1 will be $0.80601*1000000 = 806010.

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