please include formulas

An investor wants to use S&P 500 index futures to create a synthetic market index position of $250 million for 6 months. The current level of the S&P 500 index is 4,521. The 6-month futures price is 4,528. The S&P 500 futures multiplier is 50. The risk-free rate is 2% per year. The value of one S&P 500 index futures equals 50 times the current level of the index. What should the investor do to create the synthetic market index position? An investor wants to use S&P 500 index futures to create a synthetic market index position of $250 million for 6 months. The current level of the S&P 500 index is 4,521. The 6-month futures price is 4,528. The S&P 500 futures multiplier is 50. The risk-free rate is 2% per year. The value of one S&P 500 index futures equals 50 times the current level of the index. What should the investor do to create the synthetic market index position