Underlying current at $100 with annual return volatility of 45%. There are 28 days b/f expiration. Riskfree rate is zero.

Consider a CALL option with strike at $92.5.

a. What is the probability that the CALL will expire ITM (2 point)?

b. What is the average price of the underlying when CALL expires ITM (2 points)?

c. What is the average payment for the CALL when it expires ITM? (2 points)

d. How much should the CALL be priced at today? (2 points)?

e. How much of the option price is time value and how much is intrinsic value? (2 points)