The spot exchange rate is ¥125 = $1. The U.S. discount rate is 10 percent; inflation over the next three years is 3 percent per year in the U.S. and 2 percent per year in Japan. Calculate the dollar NPV of this project.
Year 0 = -1,000,000 yen Year 1= 50,000 yen year 2 = 500,000 yen Year 3= 500,000 yen
Forward exchange rate = SPot rate*(1+Inflation rate Japan)/(1+Inflation rate US)
NPV = prsent value of cash inflows - present value of cash outflows
Year 0 | Year 1 | Year 2 | Year 3 | |
Cash flows in Yen | -1000000 | 50000 | 500000 | 500000 |
Exchange rate | 125 | 123.7864078 | 122.584598 | 121.3944563 |
Cash flows in USD | -8000 | 403.9215686 | 4078.81584 | 4118.804231 |
PVF | 1 | 0.909090909 | 0.826446281 | 0.751314801 |
PV of cash flows | -8000 | 367.201426 | 3370.922182 | 3094.518581 |
NPV | -1167.357812 |
Hence, the answer is -$1,167.36
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