Analytical Approximations of BSDEs with Non-Smooth Driver.

Authors
Publication date
2014
Publication type
Journal Article
Summary We provide and analyse analytical approximations of BSDEs in the limit of small non-linearity {and short time}, in the case of non-smooth drivers. We identify the first and the second order approximations within this asymptotics and consider two topical financial applications: the two interest rates problem and the Funding Value Adjustment. In high dimensional diffusion setting, we show how to compute explicitly the first order formula by taking advantage of recent proxy techniques. Numerical tests up to dimension 10 illustrate the efficiency of the numerical schemes.
Publisher
Elsevier BV
Topics of the publication
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