Consider a coupon-bearing bond selling at $1,125 and paying coupons in 3 months, 9 months and 15 months from today. The risk-free interest is 2.40% per annum continuously compounded. The face value of the bond is $1,000.

(a) What is the coupon value if the 1.5-year forward contract on this bond is selling at a fair price of $1,092.93?

(b) What is the theoretical 1-month forward price?

(c) The 1-year forward contract is selling at $1,115 in the market. Is there any arbitrage opportunity? If yes, show how to benefit from it. Show all details.