A trader buys a six-month European call option and sells a six-month European put option.  The options have the same underlying asset and the same strike price K.  Can you identify a forward contract that has the same payoff as the trader’s combined options position?  Under what circumstances does the price of the call equal the price of the put? (HINT: In answering these questions you may find it helpful to draw charts of the payoffs or profits of the two positions.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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A trader buys a six-month European call option and sells a six-month European put option.  The options have the same underlying asset and the same strike price K.  Can you identify a forward contract that has the same payoff as the trader’s combined options position?  Under what circumstances does the price of the call equal the price of the put? (HINT: In answering these questions you may find it helpful to draw charts of the payoffs or profits of the two positions.)

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