- Transform analysis and asset pricing for diffusion processes: a recursive approach
- Journal of Computational Finance
- Volume | Issue number
- 16 | 1
- Pages (from-to)
- Document type
- Faculty of Economics and Business (FEB)
- Amsterdam School of Economics Research Institute (ASE-RI)
Amsterdam Business School Research Institute (ABS-RI)
Diffusion processes play a major role in continuous-time modeling in economics, particularly in continuous-time finance. In most cases, however, the transition density function of a diffusion process is not available in closed form. Using Feynman-Kac integration, we construct a recursive scheme for the Laplace transform (in time) of the transition density function. This provides a semianalytic and highly accurate solution to a wide range of asset pricing problems. Generalizations
of our technique to functionals of non-Gaussian processes are also briefly discussed.
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