Article ID Journal Published Year Pages File Type
4619906 Journal of Mathematical Analysis and Applications 2009 10 Pages PDF
Abstract

We pose the problem of generalizing Dupire's equation for the price of call options on a basket of underlying assets. We present an analogue of Dupire's equation that holds in the case of several underlying assets provided the volatility is time dependent but not asset-price dependent. We deduce it from a relation that seems to be of interest on its own.

Related Topics
Physical Sciences and Engineering Mathematics Analysis