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Numerical Methods in Finance
14 references·6 citing·39 second hop
Numerical Methods in Finance (2012)Numerical Methods in FinanceOptimal quantization for the pricing of swing options (2012)Optimal quantization for the …Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs (2009)Discrete-time approximation o…Discrete-time approximation for continuously and discretely reflected BSDEs (2008)Discrete-time approximation f…Representations and regularities for solutions to BSDEs with reflections (2005)Representations and regularit…Functional quantization for numerics with an application to option pricing (2005)Functional quantization for n…A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)A regression-based Monte Carl…On the Malliavin approach to Monte Carlo approximation of conditional expectations (2004)On the Malliavin approach to …Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)Discrete-time approximation a…Variance Reduction Methods for Simulation of Densities on Wiener Space (2002)Variance Reduction Methods fo…An analysis of a least squares regression method for American option pricing (2002)An analysis of a least square…Applications of Malliavin calculus to Monte-Carlo methods in finance. II (2001)Applications of Malliavin cal…Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Applications of Malliavin cal…Valuation of the early-exercise price for options using simulations and nonparametric regression (1996)Valuation of the early-exerci…Estimating Security Price Derivatives Using Simulation (1996)Estimating Security Price Der…Improved error bounds for quantization based numerical schemes for BSDE and nonlinear filtering (2017)Improved error bounds for qua…A backward Monte Carlo approach to exotic option pricing (2017)A backward Monte Carlo approa…On the convergence of monotone schemes for path-dependent PDEs (2016)On the convergence of monoton…Adaptive importance sampling in least-squares Monte Carlo algorithms for backward stochastic differential equations (2016)Adaptive importance sampling …Numerical Fourier Method and Second-Order Taylor Scheme for Backward SDEs in Finance (2014)Numerical Fourier Method and …A Probabilistic Numerical Method for Optimal Multiple Switching Problems in High Dimension (2014)A Probabilistic Numerical Met…A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Optimal quadratic quantization for numerics: the Gaussian case (2003)Functional quantization of a class of Brownian diffusions: A constructive approach (2005)Introduction to Stochastic Calculus Applied to Finance (2011)MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS (2013)Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models (2020)Adapted solution of a backward stochastic differential equation (1990)Backward Stochastic Differential Equations in Finance (1997)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2006)A forward scheme for backward SDEs (2007)Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations (2019)Pricing American-style securities using simulation (1997)Regression methods for pricing complex American-style options (2001)A Monte Carlo Method for Optimal Portfolios (2003)A QUANTIZATION TREE METHOD FOR PRICING AND HEDGING MULTIDIMENSIONAL AMERICAN OPTIONS (2005)OPTIMAL MULTIPLE STOPPING AND VALUATION OF SWING OPTIONS (2008)A Re-Examination of Traditional Hypotheses about the Term Structure of Interest Rates (1981)Pricing American Options: A Duality Approach (2004)Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options (2004)The Malliavin Calculus and Related Topics (1995)The Malliavin Calculus and Related Topics (2006)BSDEs with monotone generator and two irregular reflecting barriers (2012)Options: A Monte Carlo approach (1977)Quasi-Monte Carlo Methods in Numerical Finance (1996)A new PDE approach for pricing arithmetic average Asian options (2001)A stochastic mesh method for pricing high-dimensional American options (2004)Theory of rational option pricing (2005)A quantization algorithm for solving multidimensional discrete-time optimal stopping problems (2003)Pricing and Hedging Spread Options (2003)Brownian Motion and Stochastic Calculus (2007)Stochastic differential equations and applications (2008)Numerical solution of stochastic differential equations (2016)Optimal replication of contingent claims under transaction costs (1989)On the Monte Carlo simulation of BSDEs: An improvement on the Malliavin weights (2010)Regression Methods for Stochastic Control Problems and Their Convergence Analysis (2010)A New Kind of Accurate Numerical Method for Backward Stochastic Differential Equations (2006)A mean-field stochastic maximum principle via Malliavin calculus (2012)Monte-Carlo Valuation of American Options: Facts and New Algorithms to Improve Existing Methods (2012)
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References

  • 1999Applications of Malliavin calculus to Monte Carlo methods in finance549 cited
  • 2004Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations518 cited
  • 1996Valuation of the early-exercise price for options using simulations and nonparametric regression517 cited
  • 1996Estimating Security Price Derivatives Using Simulation449 cited
  • 2005A regression-based Monte Carlo method to solve backward stochastic differential equations412 cited
  • 2002An analysis of a least squares regression method for American option pricing342 cited
  • 2001Applications of Malliavin calculus to Monte-Carlo methods in finance. II174 cited
  • 2005Functional quantization for numerics with an application to option pricing90 cited
  • 2004On the Malliavin approach to Monte Carlo approximation of conditional expectations81 cited
  • 2005Representations and regularities for solutions to BSDEs with reflections58 cited
  • 2008Discrete-time approximation for continuously and discretely reflected BSDEs57 cited
  • 2012Optimal quantization for the pricing of swing options54 cited
  • 2002Variance Reduction Methods for Simulation of Densities on Wiener Space52 cited
  • 2009Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs47 cited

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Cited by

  • 2014A Probabilistic Numerical Method for Optimal Multiple Switching Problems in High Dimension40 cited
  • 2014Numerical Fourier Method and Second-Order Taylor Scheme for Backward SDEs in Finance37 cited
  • 2017Improved error bounds for quantization based numerical schemes for BSDE and nonlinear filtering28 cited
  • 2016Adaptive importance sampling in least-squares Monte Carlo algorithms for backward stochastic differential equations26 cited
  • 2017A backward Monte Carlo approach to exotic option pricing23 cited
  • 2016On the convergence of monotone schemes for path-dependent PDEs21 cited