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Computing Functionals of Multidimensional Diffusions via Monte Carlo Methods
Computing Functionals of Multidimensional Diffusions Monte Carlo Methods Numerical Analysis Computational Finance
2012/4/28
We discuss suitable classes of diffusion processes, for which functionals relevant to finance can be computed via Monte Carlo methods. In particular, we construct exact simulation schemes for processe...
On the Representation of General Interest Rate Models as Square Integrable Wiener Functionals
interest rate models term structure dynamics Heath-Jarrow-Morton framework pricing kernels Wiener chaos Flesaker-Hughston models potentials
2011/7/19
In the setting proposed by Hughston & Rafailidis (2005) we consider general interest rate models in the case of a Brownian market information filtration (Ft)t0. Let X be a square-integrable F1-measur...
Functionals of Exponential Brownian Motion and Divided Differences
Functionals of Exponential Brownian Motion Divided Differences
2010/10/20
We provide a surprising new application of classical approximation theory to a fundamental asset-pricing model of mathematical finance. Specifically, we calculate an analytic value for the correlatio...