only need to answer Q5, the Q1 and Q3 just related to the Q5

. . The current price of the stock is $25. The stock does not pay dividends. All options and forward contracts expire in 31 days. The continuously compounded risk-free interest rate is 4%. There are no commissions or fees for transactions, and the bid and ask prices are equal. A year is 365 days. European option prices are according to the following table: . Strike Call Put 24 25 1.35 0.74 0.35 0.14 0.27 0.66 1.26 2.05 26 27 5. Let S, denote the price of the stock in 31 days. Determine the value of S, at which Martha's portfolio, described in Problem 1, and Hannah's portfolio, described in Problem 3, have the same profit. (6 points) 1. Martha writes two 24-strike calls and buys a 26-strike call. Write the payoff of Martha's portfolio, simplify it, and draw its graph. 3. Hannah buys a 26-strike call, writes two 24-strike puts, and takes a long position in a forward contract to buy one shares of the stock at the no-arbitrage forward price. Write the payoff of Hannah's portfolio, simplify it, and draw its graph. (4 points) . . The current price of the stock is $25. The stock does not pay dividends. All options and forward contracts expire in 31 days. The continuously compounded risk-free interest rate is 4%. There are no commissions or fees for transactions, and the bid and ask prices are equal. A year is 365 days. European option prices are according to the following table: . Strike Call Put 24 25 1.35 0.74 0.35 0.14 0.27 0.66 1.26 2.05 26 27 5. Let S, denote the price of the stock in 31 days. Determine the value of S, at which Martha's portfolio, described in Problem 1, and Hannah's portfolio, described in Problem 3, have the same profit. (6 points) 1. Martha writes two 24-strike calls and buys a 26-strike call. Write the payoff of Martha's portfolio, simplify it, and draw its graph. 3. Hannah buys a 26-strike call, writes two 24-strike puts, and takes a long position in a forward contract to buy one shares of the stock at the no-arbitrage forward price. Write the payoff of Hannah's portfolio, simplify it, and draw its graph. (4 points)