Bill and Melinda Barns live in Dallas, Texas. Both of them graduated and are working in high paying jobs. Bill loves to control his own investments and has been contributing to a stock account the he manages for several years. This account has grown to a balance of $375,000. Bill is a smart investor so this portfolio is relatively diversified among growth stocks of high-quality companies. The last two years have beern especially good for their portfolio as it has appreciated by 30%. Bill is now starting to get nervous because he feels that the market is very likely to decline. He believes that the economy will struggle for the next 6 months after which time stocks will likely recover. He feels that this will negatively impact their portfolio but he is not sure which stocks will be impacted the most. Bill and Melinda have come to you because they have heard about stock index futures but they really don't understand them. 1. discuss and explain how stock index futures could help the Barns. 2. What problem do the Barnes have? 3. Explain how a hedge could be set up in detail and what the benefits and risks are of such a position(nclude math"")