Question 4 (a) Consider a 3-year forward contract to buy a coupon-bearing bond thatwill mature 3-years from today. The current price of the bond is $120. Suppose that on that bond 3 coupon payments of $10 are expected after 12, 24, and 36 months. We assume that the 12M, 24M, and 36M risk-free interest rates (continuously compounded) are 1.75%, $2.1, and 2.5% per annum, respectively. Determine the strike price, the forward price and the value of the forward contract.(b) 18 months later, the price of the bond is $105 and the risk-free interest rates for maturity 6M and 18M (continuously compounded) are 1.1% and 1.9% per annum, respectively. What are the strike price, the forward price and the value of the forward contract?
Question 4
(a) Consider a 3-year forward contract to buy a coupon-bearing bond that
will mature 3-years from today. The current price of the bond is $120. Suppose that on that bond 3 coupon payments of $10 are expected after 12, 24, and 36 months. We assume that the 12M, 24M, and 36M risk-free interest rates (continuously compounded) are 1.75%, $2.1, and 2.5% per annum, respectively. Determine the strike price, the forward price and the value of the forward contract.
(b) 18 months later, the price of the bond is $105 and the risk-free interest rates for maturity 6M and 18M (continuously compounded) are 1.1% and 1.9% per annum, respectively. What are the strike price, the forward price and the value of the forward contract?
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