English

Note on multidimensional Breeden-Litzenberger representation for state price densities

Probability 2014-12-08 v2 Pricing of Securities

Abstract

In this note, we consider European options of type h(XT1,XT2,,XTn)h(X^1_T, X^2_T,\ldots, X^n_T) depending on several underlying assets. We give a multidimensional version of the result of Breeden and Litzenberger \cite{Breeden} on the relation between derivatives of the call price and the risk-neutral density of the underlying asset. The pricing measure is assumed to be absolutely continuous with respect to the Lebesgue measure on the state space.

Keywords

Cite

@article{arxiv.1305.5963,
  title  = {Note on multidimensional Breeden-Litzenberger representation for state price densities},
  author = {Jarno Talponen and Lauri Viitasaari},
  journal= {arXiv preprint arXiv:1305.5963},
  year   = {2014}
}
R2 v1 2026-06-22T00:22:33.790Z