4. You are given the following data for a put option on a common stock; S=$49 X=$50 r=2.5% T, = 3 months a. Use the Black-Scholes Option Pricing Model to find the price of the put option. =.2 () Use your answers from a) to find N(d,) and N(d2). () Use the Black-Scholes OPM to find P b. State the intrinsic value and the speculative premium for the put option in part ai Why is the speculative premium greater than zero? c. show what would happen if P = 2.71 0Hint: Put-call parity would be violated