1. Following the put-call parity rationale, please use call, put and risk-free bond to mimic a short position in stock (10 points) 2. The following quotes were observed for options on a given stock on November 1 of a given year. These are American calls except where indicated. The stock price was 113.25. The risk-free rates were 7.30 percent (November), 7.50 percent (December) and 7.62 percent (January). The times to expiration were 0.0384 (November), 0.1342 (December), and 0.211 (January). Assume no dividends unless indicated. Calls Puts Strike Nov Dec Jan Nov Dec Jan 105 8.40 10 11.50 5.30 1.30 2.00 110 4.40 7.10 8.30 0.90 2.50 3.80 115 1.50 3.90 5.30 2.80 4.80 4.80 1). Please find the intrinsic value, time value and lower bound for November 110 Call (10 points) 2). Please find the intrinsic value, time value and lower bound for December 115 Put (10 points) 3). Please explain intuitively volatility is a good for options (the higher the stock volatility, the higher the option value) (10 points) 1. Following the put-call parity rationale, please use call, put and risk-free bond to mimic a short position in stock (10 points) 2. The following quotes were observed for options on a given stock on November 1 of a given year. These are American calls except where indicated. The stock price was 113.25. The risk-free rates were 7.30 percent (November), 7.50 percent (December) and 7.62 percent (January). The times to expiration were 0.0384 (November), 0.1342 (December), and 0.211 (January). Assume no dividends unless indicated. Calls Puts Strike Nov Dec Jan Nov Dec Jan 105 8.40 10 11.50 5.30 1.30 2.00 110 4.40 7.10 8.30 0.90 2.50 3.80 115 1.50 3.90 5.30 2.80 4.80 4.80 1). Please find the intrinsic value, time value and lower bound for November 110 Call (10 points) 2). Please find the intrinsic value, time value and lower bound for December 115 Put (10 points) 3). Please explain intuitively volatility is a good for options (the higher the stock volatility, the higher the option value) (10 points)