There is a 400-day forward contract on a 8% U.S. Treasury bond (making semiannual coupon payments) with
Question:
There is a 400-day forward contract on a 8% U.S. Treasury bond (making semiannual coupon payments) with face value of $2000 and spot price of $2,180. The Treasury bond will make next coupon payment in 80 days, and another coupon payment in 262 days. The annual risk-free rate is 5%. Assume there are 365 days in a year and continuous compounding.
(a) Calculate the no-arbitrage forward price of this contract.
(b) Assume the forward price in the contract is equal to the no-arbitrage price you computed in (a). After 100 days, the value of the bond is $2,150. Calculate the value of this forward contract to the long position and short position. Suppose now the annual risk-free rate is still 5%.
Fundamentals Of Corporate Finance
ISBN: 9780135811603
5th Edition
Authors: Jonathan Berk, Peter DeMarzo, Jarrad Harford