Suppose that Apple entered into a swap where it agreed to make semiannual payments at a rate of 4% per annum and receive LIBOR on a notional principal of $200 million. The swap has a remaining life of 18 months. The risk-free rates for 6, 12 and 18 months are 3%, 3.5%, and 3.8%, respectively, with continuous compounding. The forward LIBOR rates for 6- to 12 months, and 12- to 18-months are 3.8%, and 4.2%, respectively, with continuous compounding. Today's LIBOR rate which is applicable to the exchange in 6 months is 3.2% with semiannual compounding. Calculate the value of the swap contract today and explain the steps in calculation