3. Black-Scholes-Merton and binomial tree

Consider a six-month European call option on a non-dividend-paying stock. The

stock price is $30, the strike price is $29, and the continuously compounded risk-free

interest rate is 6% per annum. The volatility of the stock is 20% per annum.

1) Value this option using the Black-Scholes formula. Illustrate each step in your

Calculation.

2) Use a one-step binomial tree to value this option.

3) Use a two-step binomial tree to value this option.

4) Compare the results from 2) to 3) with what you get using the Black-ScholesMerton formula.