SOLVABILITY AND NUMERICAL SIMULATION OF BSDEs RELATED TO BSPDEs WITH APPLICATIONS TO UTILITY MAXIMIZATION
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Publication:3094326
DOI10.1142/S0219024911006437zbMath1283.91194MaRDI QIDQ3094326
Jianing Zhang, Anthony Réveillac, Peter Imkeller
Publication date: 24 October 2011
Published in: International Journal of Theoretical and Applied Finance (Search for Journal in Brave)
stochastic optimal controldistortionnumerical schemequadratic growthutility optimizationlogarithmic transformationBSDEBSPDE
Numerical methods (including Monte Carlo methods) (91G60) Numerical solutions to stochastic differential and integral equations (65C30)
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Cites Work
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- On measure solutions of backward stochastic differential equations
- One-dimensional backward stochastic differential equations whose coefficient is monotonic in \(y\) and non-Lipschitz in \(z\)
- Quadratic BSDEs with convex generators and unbounded terminal conditions
- Mean-variance hedging for continuous processes: New proofs and examples
- On semi-linear degenerate backward stochastic partial differential equations
- Backward stochastic differential equations and partial differential equations with quadratic growth.
- A forward-backward SDE approach to affine models
- Path regularity and explicit convergence rate for BSDE with truncated quadratic growth
- Quadratic BSDEs driven by a continuous martingale and applications to the utility maximization problem
- BSDE with quadratic growth and unbounded terminal value
- A forward scheme for backward SDEs
- Solvability of backward stochastic differential equations with quadratic growth
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
- Utility maximization in incomplete markets
- A regression-based Monte Carlo method to solve backward stochastic differential equations
- Adapted solution of a backward semilinear stochastic evolution equation
- Stochastic Hamilton–Jacobi–Bellman Equations
- Backward Stochastic Differential Equations in Finance
- Existence for BSDE with superlinear–quadratic coefficient
- Utility maximization in incomplete markets with random endowment
- A solution approach to valuation with unhedgeable risks