8. Problem on bond forward: I. Calculate the price of a 600-day forward contract on an 8% US Treasury bond with a spot price of $1,080 that has just paid a coupon and will make coupon payments in 182 days, 365 days, 547 days, 730 days and so on till maturity of the bond. Assume that the annual risk-free rate is 6%. II. Find the value of the contract to the long position at initiation. III. Find the value of the contract to the long position 200 days after the initiation, if the value of the bond is $1,070 on day 200 . Assume that the annual risk-free rate is still 6% and the yield curve is flat. IV. Find the value of the contract to the long position at expiry, i.e., on day 600 when the value of the bond is $1,040. 8. Problem on bond forward: I. Calculate the price of a 600-day forward contract on an 8% US Treasury bond with a spot price of $1,080 that has just paid a coupon and will make coupon payments in 182 days, 365 days, 547 days, 730 days and so on till maturity of the bond. Assume that the annual risk-free rate is 6%. II. Find the value of the contract to the long position at initiation. III. Find the value of the contract to the long position 200 days after the initiation, if the value of the bond is $1,070 on day 200 . Assume that the annual risk-free rate is still 6% and the yield curve is flat. IV. Find the value of the contract to the long position at expiry, i.e., on day 600 when the value of the bond is $1,040