The 6-month, 12-month, 18-month, and 24-month zero rates are 4%, 4.5%, 4.75%, and 5% with semiannual compounding, respectively.

(a) What are the rates with continuous compounding?

(b) What is the forward rate for the six-month period beginning in 18 months?

(c) What is the value of an FRA that promises to pay you 6% (with semiannual payment) on a principal of $1 million for the six-month period starting in 18 months?

(d) If the six-month LIBOR rate were 6.5% in 18 months, what would be the payoff to the lender?