Suppose that OIS zero rates with annual compounding are as follow with maturity of 1, 2, 3, 4 years: 2.5%, 2.7%, 2.9%, and 3.0% respectively. The current one year LIBOR rate is 3% and the LIBOR forward rate for the 1- to 2- year period is 3.2%. In a market, a three year swap rate for a swap with annual payments is 3.2%

a) find the LIBOR forward rate for 2- to 3- year period

b) value a three year swap where 4% is received and LIBOR is paid on a principal of $100 million

c) if the LIBOR forward 3 to 4 year contract is 4.1% what should be the swap rate for a four year swap contract