A pension fund wants to enter into a six-month equity swap with a notional principal of $60 million. Payments will occur in 90 and 180 days. The swap will allow the fund to receive the return on a stock index, currently at 5,514.67. The fund is considering three different types of swaps, one of which would require it to pay a fixed rate, another that would require it to pay floating rate, and another that would require it to pay the return on another stock index, which is currently at 1,212.98. Refer to these as swaps 1, 2, and 3. The term structure is as follows:
a. Find the fixed rate for swap 1.
b. Find the payments on day 90 for swaps 1, 2, and 3. For swap 3, assume that on day 90 stock index 1 is at 5,609.81 and stock index 2 is at 1,231.94. Be sure to indicate the net payment.
c. Assume it is 30 days into the life of the swap. Stock index 1 is at 5,499.62, and stock index 2 is at 1,201.45. The new term structure is as follows: