No-arbitrage lower bound and no-arbitrage upper bound


Let C (K ) denote a European vanilla Call option with strike price K. Assume that all options are identical except for strike price, and strike prices satisfy K1 < K2 < K3 and 2K2 = K1 + K3.

Question 1: ?What are the no-arbitrage lower bound, and the no-arbitrage upper bound, of the vertical spread:

C(K1) − C(K2)?

Question 2: Derive the functional relationship between the no-arbitrage values of the two vertical spreads:

C(K1) − C(K2) and C(K2) − C(K3).

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Finance Basics: No-arbitrage lower bound and no-arbitrage upper bound
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