Consider a stock whose current price is $100 and volatility is 20% p.a. The stock is expected to pay a dividend of $2 in one month's time. The risk-free rate is 5% p.a. continuously compounding. (a) (3 points) Using a two-period binomial tree, what is the value of a 2-month American call whose exercise price is $101 ? (b) (3 points) Using a two-period binomial tree, what is the value of a 2-month American put whose exercise price is $101 ? Consider a stock whose current price is $100 and volatility is 20% p.a. The stock is expected to pay a dividend of $2 in one month's time. The risk-free rate is 5% p.a. continuously compounding. (a) (3 points) Using a two-period binomial tree, what is the value of a 2-month American call whose exercise price is $101 ? (b) (3 points) Using a two-period binomial tree, what is the value of a 2-month American put whose exercise price is $101