Backward stochastic differential equations with jumps and their actuarial and financial applications. BSDEs with jumps (Q354261)

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scientific article; zbMATH DE number 6189106
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Backward stochastic differential equations with jumps and their actuarial and financial applications. BSDEs with jumps
scientific article; zbMATH DE number 6189106

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    Backward stochastic differential equations with jumps and their actuarial and financial applications. BSDEs with jumps (English)
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    18 July 2013
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    Although there exists at least one well-known book on BSDEs, see for example [\textit{J. Ma} and \textit{J. Yong}, Forward-backward stochastic differential equations and their applications. Berlin: Springer (1999; Zbl 0927.60004)], this book comes to fill some gaps on this field. One such a gap is the study of backward stochastic differential equations with jumps which is very crucial in applications. Part I of the book studies BSDEs with jumps, including existence and uniqueness of solutions, numerical methods, nonlinear expectations and \(g\)-expectations. In Part II, the author studies applications to finance and insurance while in Part III he describes some other classes of BSDEs such as time-delayed BSDEs, reflected and constrained BSDEs.
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    backward stochastic differential equations with jumps
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    applications to finance and insurance
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