Question

Suppose VS's stock price is currently $20. A six-month call option on VS's stock with an exercise price of $15 has a value of $7.14. What is the price of an equivalent put option? The six-month risk-free interest rate is 5% per six-month period.

a. $1.43
b. $9.43
c. $8.00
d. $12.00

Answer 1

Answer: $1.43

Step-by-step explanation:

To solve this, we would use the put call parity. We then calculate the value of the out which will be:

= $7.14 + $15/(1 + 5%) - $20

= $7.14 + $15/(1 + .05) - $20

= $7.14 + $15/(1.05) - $20

= $7.14 + $14.29 - $20

= $1.43

The price of an equivalent put option is $1.43