You are a pension fund manager. You will purchase 10,000 shares of S\&P 500 on June 16, when contributions will arrive. You expect that S\&P 500 prices will rise and decide to hedge. There is a futures contract on 50 shares of S\&P 500 with a delivery date of June 16. The financial services company that you work with estimated that: Change in spot price =0.80 Change in futures price Design the optimal hedging strategy using futures contracts