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In Rememberance: World Trade Center (WTC)

Explicit Formulas for Laplace Transforms of Stochastic Integrals

by Tom R. Hurd of McMaster University, and
Alexey Kuznetsov of McMaster University

July 3, 2006

Abstract: In this article we provide a general identity useful for computing expectations of the form



for diffusion processes Xt and certain functions Φ. In the case of CIR and Jacobi diffusions, this identity leads to explicit formulas for the Laplace transform of a multidimensional family of random variables constructed from Xt and its integrals.

Mathematics Subject Classification: 60G09, 91B28.

Keywords: diffusions, Laplace transform, explicit formula, hypergeometric function, CIR process, Jacobi process, mathematical finance.

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