Problem:
Suppose that at the present time, one can enter 5-year swaps that exchange LIBOR for 5%. An off-market swap would then be defined as a swap of LIBOR for a fixed rate other than 5%. For example, a firm with 10% coupon debt outstanding might like to convert to synthetic floating-rate debt by entering a swap in which it pays LIBOR and receives a fixed rate of 10%.
Required:
Question: What up-front payment will be required to induce a counterparty to take the other side of this swap? Assume notional principal is $90 million.
Note: Explain the solution in detail.