Question 1 15 points 0 The multiplier for the S&P500 index futures is $250 per index point. The maturity of the contract is 1 year Today, you buy a futures contract when the S&P 500 index is at 2875. The risk-free rate is 2 2.00% and the dividend yield on S&P500 stocks is 1.50%. a. What is the futures price today? (round to 2 decimal places) Futures price today 7 b. Over the next five days, the futures price evolves as follows: 2890. 50, 2888. 75, 2891. 25, 2894. 50, 2897. 75. 8 What is the gain deposited to (or loss subtracted from) the account on day 3? (round to nearest dollar) Day 3 gain or loss 2c. What is the cumulative gain or loss after day 5? (to nearest dollar) Cumulative gain/loss after day 5 6 d. What is the cumulative return on this futures position after day 5, if initial margin is $25, 000? Return (in % with 2 decimal places, e. g. , 1.23%) 1 Question 2 15 points Question 1 15 points 0 The multiplier for the S&P500 index futures is $250 per index point. The maturity of the contract is 1 year Today, you buy a futures contract when the S&P 500 index is at 2875. The risk-free rate is 2 2.00% and the dividend yield on S&P500 stocks is 1.50%. a. What is the futures price today? (round to 2 decimal places) Futures price today 7 b. Over the next five days, the futures price evolves as follows: 2890. 50, 2888. 75, 2891. 25, 2894. 50, 2897. 75. 8 What is the gain deposited to (or loss subtracted from) the account on day 3? (round to nearest dollar) Day 3 gain or loss 2c. What is the cumulative gain or loss after day 5? (to nearest dollar) Cumulative gain/loss after day 5 6 d. What is the cumulative return on this futures position after day 5, if initial margin is $25, 000? Return (in % with 2 decimal places, e. g. , 1.23%) 1 Question 2 15 points