Q1. Option pricing under lognormal distribution ON 12/17/2021 Friday, SPX currently trades at 4620. March put has 3 months (63 trading days) to expiration March 4275 strike PUT currently trades at 25% implied volatility Assuming risk free rate of zero Qta. What is the probability that the put will expire in the money (5 points)? Q1b. What is the average underlying spx price when put expires ITM 5 points Q1c. What is the average put payment conditional on put expiring ITM? (5 points) Q1c. What is the average put payment conditional on put expiring TM? (5 points) Q1c. How much should the put be priced at today? (5 points)