Using the notation V(E) to mean the value of a European call option with strike E, what can you say about V E and 2 V E 2 for options having the same expiration Consider call and butterfly spreads and the absence of arbitrage

Question: Using the notation V(E) to mean the value of a European call option with strike E, what can you say about V/E and 2

Using the notation V(E) to mean the value of a European call option with strike E, what can you say about ∂V/∂E and ∂²V/∂E² for options having the same expiration? Consider call and butterfly spreads and the absence of arbitrage.

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