A firm will need to borrow $15 million for three months, starting 2 years from today, at LIBOR plus 1%.

a) If the current Eurodollar futures contract maturing in 2 years is quoted at 97.50, what is the interest rate the firm can lock in if it hedges this liability using Eurodollar futures (answer as a percent with two decimal place accuracy)?

b) The firm should take a long or short in how many futures contracts to hedge its liability?

c) If the actual three-month LIBOR rate increases to 4% in two years, what is the gain on the firms futures position (answer in $)?