Question

Show by substituting for the various terms in equation (19.4) that the equation is true for: (a) A single European call option on a non-dividend-paying stock (b) A single European put option on a non-dividend-paying stock (c) Any portfolio of European put and call options on a non-dividend-paying stock.

    Show by substituting for the various terms in equation (19.4) that the equation is true for:
(a) A single European call option on a non-dividend-paying stock
(b) A single European put option on a non-dividend-paying stock
(c) Any portfolio of European put and call options on a non-dividend-paying stock.

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Options, Futures, and Other Derivatives

Options, Futures, and Other Derivatives

John C. Hull 10th Edition

Chapter 19, Problem 18

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Step 1

4) is: C = S - Xe^(-rT)N(d1) - PV(X)N(d2) where C is the call option price, S is the current stock price, X is the strike price, r is the risk-free interest rate, T is the time to expiration, N(d1) and N(d2) are the cumulative standard normal distribution Show more…

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Show by substituting for the various terms in equation (19.4) that the equation is true for: (a) A single European call option on a non-dividend-paying stock (b) A single European put option on a non-dividend-paying stock (c) Any portfolio of European put and call options on a non-dividend-paying stock.

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