
Explanation:
Since the bond provides coupons, then we use the formula
Where:
S = Spot Price
F = Forward Price
R = Risk-free interest rate per year compounded annually
T = Time to maturity
I = The Present value of Income
We first calculate the present value of income,
And thus,
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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 $1^{\text{st}}2^{\text{nd}}$ year, and 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.