Question 1: European and American Puts (3/10) You wish to price an European put on a stock which currently trades for $100. The put expires in nine months, and has a strike of $100. The ninomonth interest rate {annualized continuously compounded) is 5%. The estimated volatility of the stock is 25%. The stock pays no dividends. (i) What is the BiackScholesMerton price of the European put? (ii) What is the price of the European put according to a standard 3-step binomial tree? (iii) Suppose the standard 3-step binomial tree is the true description of stock price movements in the real world. If the European put is trading for $6, is there an arbitrage? If not, explain why not. If so, explain in detail what your strategy is. (iv) What is the price of the American put according to a 3~step binomial tree? (v) Under what circumstances, if any, do you exercise the put before maturity