Suppose the S&P 500 currently has a level of 875. The continuously compounded return on a 1-year T-bill is 4.25%. You wish to hedge an $800,000 stock portfolio that has a beta of 1.2 and a correlation of 1.0 with the S&P 500.

(a) What is the 1-year futures price for the S&P 500 assuming no dividends?

(b) How many S&P 500 futures contracts should you short to hedge your portfolio? What return do you expect on the hedged portfolio?