Mathematics – Probability
Scientific paper
2005-08-25
Annals of Applied Probability 2005, Vol. 15, No. 3, 2172-2202
Mathematics
Probability
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.
Gobet Emmanuel
Lemor Jean-Philippe
Warin Xavier
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