Final answer:
To find the 1-year dollar-yen forward price, we apply the interest rate parity formula, which considers the spot exchange rate, the dollar interest rate, and the yen interest rate. The calculation yields a forward price of approximately 0.00928155 dollars per yen.
Step-by-step explanation:
To find the 1-year dollar-yen forward price, we can use the interest rate parity formula. This formula states that the forward price (F) is determined by the spot price (S) adjusted for the interest rate differential between the two currencies. The formula is typically written as:
F = S x (1 + i_{dollar}) / (1 + i_{yen})
Where:
- F is the forward exchange rate
- S is the spot exchange rate
- i_{dollar} is the interest rate in the dollar-denominated country
- i_{yen} is the interest rate in the yen-denominated country
Given the spot exchange rate of 0.00909 S/S, the dollar interest rate of 5% (or 0.05), and the yen interest rate of 3% (or 0.03), we plug these values into the formula:
F = 0.00909 x (1 + 0.05) / (1 + 0.03)
Carrying out the calculation:
F = 0.00909 x 1.05 / 1.03
F ≈ 0.00928155
Therefore, the 1-year dollar-yen forward price is approximately 0.00928155 dollars per yen.