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CFA Level 2
Derivatives

Valuation of a European Call Option using Black-Scholes

Hard Option Valuation Black-scholes Model

XYZ Corporation is evaluating an option to expand its production capacity and wishes to value a European call option on its stock using the Black-Scholes model. The current stock price (S) of XYZ is $50. The strike price (K) of the call option is $55, the risk-free interest rate (r) is 4% per annum, the time to expiration (T) is 6 months (0.5 years), and the volatility (σ) of XYZ’s stock is estimated at 20% per year.

Using these parameters, what is the value of the call option according to the Black-Scholes model?

Hint

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