A regression-based Monte Carlo method to solve backward stochastic differential equations

Mathematics – Probability

Scientific paper

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Published at http://dx.doi.org/10.1214/105051605000000412 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051605000000412

We are concerned with the numerical resolution of backward stochastic differential equations. We propose a new numerical scheme based on iterative regressions on function bases, which coefficients are evaluated using Monte Carlo simulations. A full convergence analysis is derived. Numerical experiments about finance are included, in particular, concerning option pricing with differential interest rates.

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