The 6-month, 12-month, 18-month, and 24-month interest rates are 1.50%, 1.75%, 2.00%, and 2.25% with continuous compounding.

a. Calculate the present value of $100 in 1.5 years (=18 months).

b. Calculate are the equivalent 6-month, 12-month, 18-month, 24-month interest rates with quarterly compounding.

c. Calculate the 6-month forward rate between 1.5 years (=18 months) and 2 years (=24 months). Answer the forward rate with continuous compounding.