Question

A one year call option has a strike price of 50, expires in 6 months, and has a price of $4.74. If the risk free rate is 3%, and the current stock price is $45, what should the corresponding put be worth?

A) $12.74.
B) $10.48.
C) $5.00.
D) $9.00.
E) $8.30.

Answer 1

$9.90

Step-by-step explanation:

Using Put Call Parity Equation:

C + X/(1 + r)^t + S + P

Call price + PV of exercise price = Spot price + Put price

4.74 + 50/(1.03)^0.30 = 45 + P

4.74 + 50/1.00891 = 45 + P

4.74 + 49.5584 = 45 + P

P = 4.74 + 49.5584 - 45

P = 9.2984

P = $9.90

Thus, the Price of Put Option with $50 exercise price = $9.90