Question: Problem 3: Binomial Trees (5 marks) A stock price is currentl'j,r $30. Over each of the next two threemonth periods it is expected to go

Problem 3: Binomial Trees (5 marks) A stock price
Problem 3: Binomial Trees (5 marks) A stock price is currentl'j,r $30. Over each of the next two threemonth periods it is expected to go up by 8% or down by 10%. The riskfree interest rate is 5% per annum with continuous compounding. a. Use a twostep binomial tree to calculate the value of a sixmonth European put option with a strike price ofSSE. h. Use a twostep binomial tree to calculate the value of a sixmonth American put option with a strike price of 332. c. Use a twostep binomial tree to calculate the value of a sixmonth European call option with a strike price of 332. d. Show whether the putcallparitv holds for the European put and the European call. e. Calculate the deltas of the European put and the European call at the different nodes of the binomial three. Hint: You need to calculate three deltas for the call and three deltas for the put

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