Discrete call-price curvature
= Discrete call-price curvature
{title2=$C(T,K+1)-2C(T,K)+C(T,K-1)$}
= Call-price curvature
{synonym}
For an integer-valued underlying with <European call option> prices $C(T,K)=\mathbb E(S_T-K)^+$, the second strike difference equals $\mathbb P(S_T=K)$. It is the discrete counterpart of recovering a payoff <probability distribution> from strike derivatives.