Help with question 2.2 and 2.3(c).

The first two problems use the following information: S(0) 159, S(2) 179, r = 0.07, and 8 -0.02. The underlying asset is Apple stock. 2.1. You decide to buy 10 shares of Apple in two years through a futures exchange (this is not typical). The futures price is the forward price (that is F(0) S(0)e(-2). The margin account requires that you deposit 25% of the purchase price, and the account pays the risk free rate. a) How much do you deposit into the margin account? b) Settlement on this exchange occurs every six months. The futures price varies over that time: the prices are 170, 180 and 173, at months 6, 12 and 18, respectively (you should already know the price at 24 months). How much is in the margin account after the settlement at 24 months (but before you empty the account)? 2.2. Suppose that you entered into a cash-and-carry like arrangement where you agreed to sell 10 shares of Apple through a forward contract, where the forward price is the agreed upon price. To hedge the sale, you use the futures arrangement from the previous problem. What is your profit? Use the table of call and put values on some underlying asset to determine the payoffs described in the problem below. Strike Call Put 40 8.97 3.25 50 4.81 8.10 2.3. You buy 1 strike 40 call, 1 strike 40 put, and 3 strike 50 calls. Additionally, you write 2 strike 50 puts. a) What is your payoff if the price at expiration is 55? b) What is your payoff if the price at expiration is 45? c) Assume that there is a fee of 2% charged only on purchases (the writer of options pays no fees). The proceeds go to a broker. All options expire in 1.5 years, and the risk-free rate is 5%, compounded continuously. What is the profit if the price at expiration is 45? The first two problems use the following information: S(0) 159, S(2) 179, r = 0.07, and 8 -0.02. The underlying asset is Apple stock. 2.1. You decide to buy 10 shares of Apple in two years through a futures exchange (this is not typical). The futures price is the forward price (that is F(0) S(0)e(-2). The margin account requires that you deposit 25% of the purchase price, and the account pays the risk free rate. a) How much do you deposit into the margin account? b) Settlement on this exchange occurs every six months. The futures price varies over that time: the prices are 170, 180 and 173, at months 6, 12 and 18, respectively (you should already know the price at 24 months). How much is in the margin account after the settlement at 24 months (but before you empty the account)? 2.2. Suppose that you entered into a cash-and-carry like arrangement where you agreed to sell 10 shares of Apple through a forward contract, where the forward price is the agreed upon price. To hedge the sale, you use the futures arrangement from the previous problem. What is your profit? Use the table of call and put values on some underlying asset to determine the payoffs described in the problem below. Strike Call Put 40 8.97 3.25 50 4.81 8.10 2.3. You buy 1 strike 40 call, 1 strike 40 put, and 3 strike 50 calls. Additionally, you write 2 strike 50 puts. a) What is your payoff if the price at expiration is 55? b) What is your payoff if the price at expiration is 45? c) Assume that there is a fee of 2% charged only on purchases (the writer of options pays no fees). The proceeds go to a broker. All options expire in 1.5 years, and the risk-free rate is 5%, compounded continuously. What is the profit if the price at expiration is 45