Displaying similar documents to “A procedure for the solution of the equations of motion by the finite element method”

On some Brownian functionals and their applications to moments in the lognormal stochastic volatility model

Jacek Jakubowski, Maciej Wiśniewolski (2013)

Studia Mathematica

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We find a probabilistic representation of the Laplace transform of some special functional of geometric Brownian motion using squared Bessel and radial Ornstein-Uhlenbeck processes. Knowing the transition density functions of these processes, we obtain closed formulas for certain expectations of the relevant functional. Among other things we compute the Laplace transform of the exponent of the T transforms of Brownian motion with drift used by Donati-Martin, Matsumoto, and Yor in a variety...