Deriving functional relationship between no-arbitrage values, Finance Basics

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Deriving functional relationship between no-arbitrage values

Questions

Let C(K) denote the European vanilla Call option with strike price K. Suppose that all options are identical except for strike price, and strike prices satisfy K₁23<< and 2K₂=K₁+K₃
Question 1

What are the no-arbitrage lower bound, and the no-arbitrage upper bound, of the vertical spreadC(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: Deriving functional relationship between no-arbitrage values

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Finance Basics: Deriving functional relationship between no-arbitrage values

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Finance Basics: Deriving functional relationship between no-arbitrage values

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