John is considering buying a European call option on stock XYZ, which has a current price of $50. The option has a strike price of $55 and expires in 6 months. The risk-free rate is 4% annually, and the stock has an expected volatility of 20%. Based on the Black-Scholes model, John wants to determine whether this call option is worth purchasing.
Using the Black-Scholes formula, he computes the option’s price. He aims to identify the price under certain parameters. What would be the estimated price of this call option?