Exercise 4 (20 points) We consider a 2-year binomial model for a stock S valued at $100 at t=0. The risk free rate is 2%, u = 1.1 and d= Question 1 (5 points) Compute at t=0 the A and the I of a European put option P on S, with strike K = $100 expiring at t=2. Question 2 [4 points) Create at t=0 a replicating portfolio, constituted of cash and stock, for P. Question 3 (4 points) We consider a European call option C on S, with strike K = $100 expiring at t=2. At t=0, the A of C is 0.04 and the I of C is 0.05. Create a AT-neutral portfolio using P, C and a short position ot two units of the stock S. Question 4 (4 points] Compute at t = 0 the value of an American option Pa on S, with strike K = $100 expiring at t=2. Question 5 (2 points) Compare at t=0 the value of P and Pa. How do you interpret the difference? Question 6 (1 points) Is there a node in the tree where the early exercise of Pa is optimal ? Exercise 4 (20 points) We consider a 2-year binomial model for a stock S valued at $100 at t=0. The risk free rate is 2%, u = 1.1 and d= Question 1 (5 points) Compute at t=0 the A and the I of a European put option P on S, with strike K = $100 expiring at t=2. Question 2 [4 points) Create at t=0 a replicating portfolio, constituted of cash and stock, for P. Question 3 (4 points) We consider a European call option C on S, with strike K = $100 expiring at t=2. At t=0, the A of C is 0.04 and the I of C is 0.05. Create a AT-neutral portfolio using P, C and a short position ot two units of the stock S. Question 4 (4 points] Compute at t = 0 the value of an American option Pa on S, with strike K = $100 expiring at t=2. Question 5 (2 points) Compare at t=0 the value of P and Pa. How do you interpret the difference? Question 6 (1 points) Is there a node in the tree where the early exercise of Pa is optimal