Hakuna matata Inc. currently does not have excess cash on hand and will pay 22,000,000 Japanese yen (JPY) in a year. The spot rate for the Japanese yen is USD 0.0112 and the 1-year forward rate for the yen is USD 0.0125. The investing and borrowing rate in Japan are is 4% p.a. and 8% p.a., respectively. The investing and borrowing rate in the U.S. are 2% p.a. and 5% p.a., respectively. If the company hedges its transaction exposure by engaging in the money market hedge, how much USD will the company pay to the bank in a year?
Select one:
a. 248,769
b. 232,711
c. 244,053
d. 260,894
Answer: Option (d.) 260,894
Payable after 1 Year | 22,000,000 | JPY |
Spot Rate | 0.0112 JPY/USD | |
1 Year Forward Rate | 0.0125 JPY/USD |
JPY | USD | |
Borrowing Rate | 4% | 8% |
Deposit Rate | 2% | 5% |
Money Market Hedge: |
Amount of JPY required to be Purchased and deposited now = X (Say) |
X (1+0.02) = 22,00,000 JPY |
X = 22,00,000 / 1.02 |
X = 21,568,627.45 JPY |
Amount in USD required to be borrowed for puchasing JPY 21,568,627.45 |
Amount in USD required to be borrowed for puchasing USD 241,568.63 |
Amount required to be repaid after 1 Year = USD 241,568.63 (1+0.08) |
Amount required to be repaid after 1 Year = USD 260,894.12 |
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