I am wondering what the practical use of the Black-Scholes Dual-Delta is?

I know it is the first derivative wrt the strike price:

$$ \frac{\partial V}{\partial K} = -\omega e^{-r T} \Phi(\omega d_2) $$

where $\omega = +1$ for a call and $\omega = -1$ for a put.

But I don't have any intuition of the practical use, since the strike is fixed over the life of an option contract.

There are some questions here and here, but a practical use does not seem to be given. One answer suggests that it is used to compute local volatility, but I do not know how this would be done.

Thanks in advance !

  • 3
    $\begingroup$ It's linked to the Breeden-Litzenberger (1978) formula and the extraction of a risk-neutral distribution from observed option prices. $\endgroup$
    – Kevin
    Sep 16, 2023 at 17:01


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