Suppose that the 1-year LIBOR rate is 4% and 2-year, 3-year, and 4-year LIBOR-forfixed swap rates with annual payments are 4.2%, 4.4%, and 4.5%. All rates are annually compounded.

(a) If LIBOR is used for discounting, what are the LIBOR/swap zero rates for maturities of 2, 3, and 4 years?

(b) If LIBOR is used for discounting, what are the LIBOR forward rates for the second, third, and fourth years?

(c) If OIS zero rates for maturities of 1, 2, 3, and 4 years are 3.6%, 3.8%, 4%, and 4.1%

per annum with annual compounding and OIS discounting is used, what are the LIBOR forward rates for the second, third, and fourth years?