The Black-Scholes formulas for call and put options are:
Call Option Price: C=S0e−qtN(d1)−Xe−rtN(d2)
Put Option Price: P=Xe−rtN(−d2)−S0e−qtN(−d1)
where:
The Black-Scholes model is used to determine the fair price of an option. It takes into account the current stock price, the option's strike price, time to maturity, risk-free rate, dividend yield, and volatility.
Let's assume the following:
For this example, the call option price is $65.67 and the put option price is $9.30.