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SPD and RND estimation

Panov, Evgeny wrote:
> the prices into Black-Scholes implied volatilities and then smoothing
 > the implied volatilities, after which you can go back into price space
 > (don't worry about unknown dividend yield - you can back it out from
 > put-call parity).

The problem with this approach is that the point of the cited 
Ait-Sahalia and Lo paper is to do a non-parametric estimation of the 
density function from prices. They propose the use of kernel smoothing 
regression, although other non-parametric methods are cited in other papers.

Regards,

   - Brian

Ref:
Ait-Sahalia, Yacine and Lo, Andrew W., "Nonparametric Estimation of
State-Price Densities Implicit in Financial Asset Prices" (November
1995). NBER Working Paper No. W5351.
Available at SSRN: http://ssrn.com/abstract=225414