Question #6: Using Options and Hedging Risk [16 Points] Suppose that you think that Goldman Sachs stock is going to appreciate in value in the next year. The stock is currently trading at $100 (S. = $100). A call option that expires in one year has a strike price of $100 (X = $100) and is selling at a premium of $10. Suppose that you have $100,000 to invest and are considering three options: Option #1: Invest all $100,000 in Goldman Sachs' stock, buying 1000 shares. Option #2: Invest all $100,000 in Goldman Sachs' call option contracts (100 contracts). Option #3: Buy 10 contracts for $10,000 and invest the remaining $90,000 in Treasury bills that pay a risk-free rate of 3.6% annually. (a) What would be your rate of return for each option given 4 possible stock prices one year from today? Use the table to summarize your results. YOU MUST SHOW YOUR WORK. Price of Goldman Sachs Stock One Year From Today $100 $112 $122 $82 Option #1 Option #2 Option #3