Suppose that the price of a bond futures contract that settles in four months is $101 and the price of the underlying bond is $98. The underlying bond has a coupon rate of 9%, par value of $100, and the next coupon payment is to be made in six months. The borrowing rate is 7.2%. If an investor implemented a cash and carry trade, what would the arbitrage profit be?
Now suppose that instead of a futures price of $101, the futures price is $96. If an investor implemented a reverse cash and carry trade, what would the arbitrage profit be?
What is the theoretical futures price?