Modern Portfolio Managers (MPM) hold a 8.0 million dollar portfolio of stocks with a beta of 1.3 measured with respect to the S&P 500 index. The current value of a futures contract on the index is 1087.8. The multiplier on the futures equals $250. If MPM wishes to increase its systematic risk in its portfolio to 2.1, how many contracts must it buy or sell?

a. Sell .43514

b. Buy 61.774

c. Buy 108.78

d. Sell 23.533

e. Buy 23.533