# Implied Probability Density with Puts

The second derivative of the call price at K gives the probability of that strike (implied probability density).

In practice, what adjustments or acknowledgements (if any) need to be made to produce a IPD with puts?

• Theoretically (under the usual assumptions) then yes it should. There is only one conditional pdf $q(s)=d\Bbb{Q}(S_T\leq s)/ds$ after all. – Quantuple Oct 24 '16 at 7:08