Suppose that c1, c2, and c3 are the prices of European call options with strike prices

Chapter 11, Problem 11.25

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Suppose that c1, c2, and c3 are the prices of European call options with strike prices K1, K2, and K3, respectively, where K3 > K2 > K1 and K3 K2 K2 K1. All options have the same maturity. Show that c2 6 0:5c1 c3 (Hint: Consider a portfolio that is long one option with strike price K1, long one option with strike price K3, and short two options with strike price K2.)

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