You manage a $15 million hedge fund portfolio with beta = 1.2 and alpha = 2% per quarter. Assume the risk-free rate is 2% per quarter and the current value of the S&P 500 Index is 1,200. You want to exploit the positive alpha, but you are afraid that the stock market may fall and you want to hedge your portfolio by selling 3-month S&P 500 future contracts. The S&P contract multiplier is $250.

How much is the portfolio expected to be worth 3 months from now?

a. $15,000,000

b. $15,450,000

c. $15,600,000

d. $16,000,000