Higher-order Discretization Methods of Forward-backward SDEs Using KLNV-scheme and Their Applications to XVA Pricing
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Publication:5241903
DOI10.1080/1350486X.2019.1637268zbMath1426.91273OpenAlexW2962886462WikidataQ127456049 ScholiaQ127456049MaRDI QIDQ5241903
Yuji Shinozaki, Syoiti Ninomiya
Publication date: 4 November 2019
Published in: Applied Mathematical Finance (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1350486x.2019.1637268
Numerical methods (including Monte Carlo methods) (91G60) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items (5)
Monte Carlo construction of cubature on Wiener space ⋮ Cubature Method for Stochastic Volterra Integral Equations ⋮ Numerical methods for backward stochastic differential equations: a survey ⋮ Deep xVA Solver: A Neural Network–Based Counterparty Credit Risk Management Framework ⋮ Efficient simulation methods for the Quasi-Gaussian term-structure model with volatility smiles: practical applications of the KLNV-scheme
Cites Work
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- Numerical Fourier method and second-order Taylor scheme for backward SDEs in finance
- A new extrapolation method for weak approximation schemes with applications
- Adapted solution of a backward stochastic differential equation
- A new higher-order weak approximation scheme for stochastic differential equations and the Runge-Kutta method
- Hedging contingent claims with constrained portfolios
- Solving forward-backward stochastic differential equations explicitly -- a four step scheme
- Conjugate convex functions in optimal stochastic control
- A quantization algorithm for solving multidimensional discrete-time optimal stopping problems
- A numerical scheme for BSDEs
- An asymptotic expansion for forward-backward SDEs: a Malliavin calculus approach
- Sharp derivative bounds for solutions of degenerate semi-linear partial differential equations
- A new simulation scheme of diffusion processes: Application of the Kusuoka approximation to finance problems.
- Multiple stochastic integrals appearing in the stochastic Taylor expansions
- Perturbative expansion technique for non-linear FBSDEs with interacting particle method
- Second order discretization of backward SDEs and simulation with the cubature method
- Runge-Kutta schemes for backward stochastic differential equations
- Simulation of BSDEs by Wiener chaos expansion
- A forward scheme for backward SDEs
- Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations
- Numerical methods for forward-backward stochastic differential equations
- A regression-based Monte Carlo method to solve backward stochastic differential equations
- Gaussian K-scheme: justification for KLNV method
- A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations
- Cubature on Wiener space
- Application of the Kusuoka approximation with a tree-based branching algorithm to the pricing of interest-rate derivatives under the HJM model
- Second-order backward stochastic differential equations and fully nonlinear parabolic PDEs
- Weak Approximation of Stochastic Differential Equations and Application to Derivative Pricing
- On Numerical Approximations of Forward-Backward Stochastic Differential Equations
- Approximate Integration of Stochastic Differential Equations
- Toward real-time pricing of complex financial derivatives
- Construction of a Third-Order K-Scheme and Its Application to Financial Models
- Efficient Computation of Various Valuation Adjustments Under Local Lévy Models
- Minimal Entropy Approximations and Optimal Algorithms
- Solving Backward Stochastic Differential Equations Using the Cubature Method: Application to Nonlinear Pricing
- Linear Multistep Schemes for BSDEs
- A Kusuoka–Lyons–Victoir particle filter
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Derivative pricing under asymmetric and imperfect collateralization and CVA
- A Sparse-Grid Method for Multi-Dimensional Backward Stochastic Differential Equations
- Numerical Algorithms for Forward-Backward Stochastic Differential Equations
- Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus
- Expansion of the global error for numerical schemes solving stochastic differential equations
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