A stock index is currently trading at 50. Paul Tripp. CFA, wants to value 2-year index options using the binomial model. The stock will either increase in value by 20% or fall in value by 20%. The annual risk-free interest rate is 6%. No dividends are paid on any of the underlying securities in the index 1) Construct a two-period binomial tree for the value of the stock index. 2) Calculate the value of a European call option on the index with an exercise price of 60. 3) Calculate the value of a European put option on the index with an exercise price of 60. 4) Calculate the intrinsic value and time value of the European put option on the index with an exercise price of 60. 5) Confirm that your solutions for the values of the call and the put satisfy put-call parity. 6) If the stock index is paying dividend, how would it affect the about put-call parity? (construct portfolios to show arbitrage opportunities)