
Explanation:
To find the 4-year forward price () of an investment asset that provides known income, we use the formula: (assuming discrete compounding, standard for bonds matching options).
First, calculate the Present Value (I) of the expected coupons discounted at the risk-free rate of 5%:
Now, substitute , (90), (0.05), and (4) into the forward price formula:
The calculated forward price is USD 82.91, making Option A the correct answer.
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Q.15 Suppose that a trader enters into a 4-year forward contract on a bond. The spot price of the bond is USD 90. The bond is expected to provide a coupon of USD 8 at the end of the 1st year, 2nd year, and 3rd year. If the risk-free rate is 5% per annum, what is the 4-year forward price?
A
USD 82.91.
B
USD 80.22.
C
USD 109.40.
D
USD 99.67.