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Quantitative error estimates for a least-squares Monte Carlo algorithm for American option pricing
12 references·3 citing·35 second hopsampled
Quantitative error estimates for a least-squares Monte Carlo algorithm for American option pricing (2013)Quantitative error estimates for a least-…PRICING OF HIGH-DIMENSIONAL AMERICAN OPTIONS BY NEURAL NETWORKS (2010)PRICING OF HIGH-DIMENSIONAL A…A forward scheme for backward SDEs (2007)A forward scheme for backward…A dynamic look-ahead Monte Carlo algorithm for pricing Bermudan options (2007)A dynamic look-ahead Monte Ca…Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations (2006)Rate of convergence of an emp…Monte Carlo algorithms for optimal stopping and statistical learning (2005)Monte Carlo algorithms for op…A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)A regression-based Monte Carl…Number of paths versus number of basis functions in American option pricing (2004)Number of paths versus number…Convergence of the Least Squares Monte Carlo Approach to American Option Valuation (2004)Convergence of the Least Squa…An analysis of a least squares regression method for American option pricing (2002)An analysis of a least square…Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Valuing American Options by S…Regression methods for pricing complex American-style options (2001)Regression methods for pricin…Optimal stopping of Markov processes: Hilbert space theory, approximation algorithms, and an application to pricing high-dimensional financial derivatives (1999)Optimal stopping of Markov pr…An improved least squares Monte Carlo valuation method based on heteroscedasticity (2017)An improved least squares Mon…The difference between LSMC and replicating portfolio in insurance liability modeling (2016)The difference between LSMC a…Sequential Design for Optimal Stopping Problems (2015)Sequential Design for Optimal…Adapted solution of a backward stochastic differential equation (1990)Hedging of contingent claims under incomplete information (1990)Backward Stochastic Differential Equations in Finance (1997)Discrete-time approximation of decoupled Forward–Backward SDE with jumps (2007)A Finite Horizon Optimal Multiple Switching Problem (2009)On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations (2019)Option pricing: A simplified approach (1979)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Monte Carlo Methods in Financial Engineering (2003)Pricing Asset Scheduling Flexibility using Optimal Switching (2008)Monte-Carlo Valuation of American Options: Facts and New Algorithms to Improve Existing Methods (2012)The Econometrics of Financial Markets (1997)The valuation of multidimensional American real options using the LSM simulation method (2006)Gas Storage Valuation Using a Monte Carlo Method (2008)Valuing Modularity as a Real Option (2009)The Econometrics of Financial Markets (2012)Pricing American-style securities using simulation (1997)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)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)New frontiers for arch models (2002)Option Pricing Under a Double Exponential Jump Diffusion Model (2004)Theory of rational option pricing (2005)Martingales and arbitrage in multiperiod securities markets (1979)Pricing American Options: A Duality Approach (2004)Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options (2004)Continuous Martingales and Brownian Motion (1999)Second‐order backward stochastic differential equations and fully nonlinear parabolic PDEs (2006)Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations (2019)Time discretization and Markovian iteration for coupled FBSDEs (2006)New Kinds of High-Order Multistep Schemes for Coupled Forward Backward Stochastic Differential Equations (2014)Optimal Portfolio Choice and the Valuation of Illiquid Securities (2001)ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications (2004)
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References

  • 2001Valuing American Options by Simulation: A Simple Least-Squares Approach3,218 cited
  • 2001Regression methods for pricing complex American-style options612 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
  • 1999Optimal stopping of Markov processes: Hilbert space theory, approximation algorithms, and an application to pricing high-dimensional financial derivatives326 cited
  • 2007A forward scheme for backward SDEs186 cited
  • 2004Convergence of the Least Squares Monte Carlo Approach to American Option Valuation183 cited
  • 2006Rate of convergence of an empirical regression method for solving generalized backward stochastic differential equations171 cited
  • 2004Number of paths versus number of basis functions in American option pricing151 cited
  • 2005Monte Carlo algorithms for optimal stopping and statistical learning130 cited
  • 2010PRICING OF HIGH-DIMENSIONAL AMERICAN OPTIONS BY NEURAL NETWORKS92 cited
  • 2007A dynamic look-ahead Monte Carlo algorithm for pricing Bermudan options64 cited

Cited by

  • 2016The difference between LSMC and replicating portfolio in insurance liability modeling36 cited
  • 2015Sequential Design for Optimal Stopping Problems

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31 cited
  • 2017An improved least squares Monte Carlo valuation method based on heteroscedasticity28 cited