In: Finance
The price of a European call option on a non-dividend-paying stock with a strike price of 50 $ is 6 $. The stock price is 51 $, the continuously compounded risk-free rate for all maturities is 6% and the time to maturity is one year. What is the price of a one-year European put option on the stock with a strike price of 50 $?
Current value (S) | $51 |
Riskless interest rate r | 6.00% |
Strike price K | $50 |
Expiration (T) = | 1 |
Call option (C)] | 6 |
Put-call parity = c+Ke-rT=p+S0 | |
Put-call parity = 6+ $50 e-6% x1 =p+51 | |
p=6+50e-0.06×1−51 | 2.09 |