Two-period BOPM please.

Consider an American put option on a stock that is currently selling at $52. The stock is expected to pay a dividend of $2.06 in 3.5 months. The exercise price of the option is $50. The option has 5 months to expiration. The volatility of the stock price is 40% p.a. and the continuously compounded risk-free interest rate is 10% p.a. What is the value of the American put option on this stock? st=2412 Answer: P = $3.50 using a two-period BOPM; P = $4.44 using a 5-period BOPM Consider an American put option on a stock that is currently selling at $52. The stock is expected to pay a dividend of $2.06 in 3.5 months. The exercise price of the option is $50. The option has 5 months to expiration. The volatility of the stock price is 40% p.a. and the continuously compounded risk-free interest rate is 10% p.a. What is the value of the American put option on this stock? st=2412 Answer: P = $3.50 using a two-period BOPM; P = $4.44 using a 5-period BOPM