Reference no: EM132853749
Question 1
A stock price is currently $40. The risk-free interest rate is 12% per annum with continuous compounding. Annual continuously compounded volatility is 10%. Construct a binomial tree for two periods and calculate the value of the options by working back through the binomial tree.
a) What is the value of a 6-month European put option with a strike price of $42?
b) What is the value of a 6-month American put option with a strike price of $42?
c) What is your replicating portfolio today for a 6-month European put and American
Put option with a strike price of $42?
Question 2:
Let S=$300, K=$300, r=10% risk-free interest rate, (continuously compounding), T=3 years, n=3, three-period binomial tree, δ =6.5%, continuous dividend yield on the stock, u=1.25, and d=0.7.
a) Construct the binomial tree for the stock.
b) Compute the prices of American and European calls.
c) Compute the prices of American and European puts by using risk-neutral approach.