Density analysis of non-Markovian BSDEs and applications to biology and finance |
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Authors: | Thibaut Mastrolia |
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Institution: | École polytechnique-Université Paris-Saclay, CMAP, Route de Saclay, 91128 Palaiseau, France |
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Abstract: | In this paper, we provide conditions which ensure that stochastic Lipschitz BSDEs admit Malliavin differentiable solutions. We investigate the problem of existence of densities for the first components of solutions to general path-dependent stochastic Lipschitz BSDEs and obtain results for the second components in particular cases. We apply these results to both the study of a gene expression model in biology and to the classical pricing problems in mathematical finance. |
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Keywords: | primary 60H10 secondary 60H07 91G30 92D20 BSDEs Malliavin calculus Nourdin–Viens’ Formula Gene expression Option pricing |
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