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Functional quantization for numerics with an application to option pricing
4 references·12 citing·45 second hop
Functional quantization for numerics with an application to option pricing (2005)Functional quantization for numerics with…Introduction to Stochastic Calculus Applied to Finance (2011)Introduction to Stochastic Ca…Optimal quadratic quantization for numerics: the Gaussian case (2003)Optimal quadratic quantizatio…Which Model for Term-Structure of Interest Rates Should One Use? (1995)Which Model for Term-Structur…A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)A Closed-Form Solution for Op…Signature-Based Models: Theory and Calibration (2023)Signature-Based Models: Theor…Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models (2020)Efficient Asian option pricin…A backward Monte Carlo approach to exotic option pricing (2017)A backward Monte Carlo approa…Pricing via recursive quantization in stochastic volatility models (2016)Pricing via recursive quantiz…From Empirical Observations to Tree Models for Stochastic Optimization: Convergence Properties (2016)From Empirical Observations t…Recursive Marginal Quantization of the Euler Scheme of a Diffusion Process (2015)Recursive Marginal Quantizati…Optimal representation of multi-dimensional random fields with a moderate number of samples: Application to stochastic mechanics (2015)Optimal representation of mul…MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS (2013)MULTIFRACTIONAL STOCHASTIC VO…Numerical Methods in Finance (2012)Numerical Methods in FinanceFunctional quantization rate and mean regularity of processes with an application to Lévy processes (2008)Functional quantization rate …Functional quantization rate and mean regularity of processes with an application to Lévy processes (2008)Functional quantization rate …Functional quantization of a class of Brownian diffusions: A constructive approach (2005)Functional quantization of a …Stochastic Approximation Methods for Constrained and Unconstrained Systems (1978)Stochastic Approximation Algorithms and Applications (1998)A quantization algorithm for solving multidimensional discrete-time optimal stopping problems (2003)Error analysis of the optimal quantization algorithm for obstacle problems (2003)Monte-Carlo Valuation of American Options: Facts and New Algorithms to Improve Existing Methods (2012)An empirical analysis of scenario generation methods for stochastic optimization (2016)Brownian Motion and Stochastic Calculus. (1989)Continuous Martingales and Brownian Motion (1999)Brownian Motion and Stochastic Calculus (2007)The Pricing of Options and Corporate Liabilities (1973)Theory of Rational Option Pricing (1973)A Theory of the Term Structure of Interest Rates (1985)Empirical Performance of Alternative Option Pricing Models (1997)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The Cross‐Section of Volatility and Expected Returns (2006)Optimal investment strategies in a CIR framework (2000)Interest Rates and Information Geometry (2001)Introduction to Dynamic Financial Analysis (2001)Theory of rational option pricing (2005)Co-Integration and Error Correction: Representation, Estimation, and Testing (1987)Correction to Black--Scholes Formula Due to Fractional Stochastic Volatility (2017)ASYMPTOTIC THEORY FOR ESTIMATING DRIFT PARAMETERS IN THE FRACTIONAL VASICEK MODEL (2018)From Constant to Rough: A Survey of Continuous Volatility Modeling (2023)Valuation of the early-exercise price for options using simulations and nonparametric regression (1996)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)A Probabilistic Numerical Method for Optimal Multiple Switching Problems in High Dimension (2014)Numerical Fourier Method and Second-Order Taylor Scheme for Backward SDEs in Finance (2014)Improved error bounds for quantization based numerical schemes for BSDE and nonlinear filtering (2017)Generating Scenario Trees for Multistage Decision Problems (2001)Scenario tree generation for multiperiod financial optimization by optimal discretization (2001)Scenario Reduction Algorithms in Stochastic Programming (2003)Quantitative stability analysis for minimax distributionally robust risk optimization (2018)Option pricing when underlying stock returns are discontinuous (1976)Financial Modelling with Jump Processes (2003)Continuous-Time Markov Chain and Regime Switching Approximations with Applications to Options Pricing (2019)A data-driven framework for consistent financial valuation and risk measurement (2020)Analytically pricing foreign exchange options under a three-factor stochastic volatility and interest rate model: A full correlation structure (2024)Hyperbolic Distributions in Finance (1995)Limit Theorems for Stochastic Processes (2003)Self‐Similar Processes (2004)Finite approximation schemes for Lévy processes, and their application to optimal stopping problems (2007)The Generalized Hyperbolic Model: Estimation, Financial Derivatives, and Risk Measures (1999)Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options (2004)Fluctuations of Lévy Processes with Applications (2014)
this work references cited by second hop

References

  • 1993A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options8,768 cited
  • 2011Introduction to Stochastic Calculus Applied to Finance639 cited
  • 2003Optimal quadratic quantization for numerics: the Gaussian case141 cited
  • 1995Which Model for Term-Structure of Interest Rates Should One Use?117 cited

Cited by

  • 2013MULTIFRACTIONAL STOCHASTIC VOLATILITY MODELS84 cited
  • 2020Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models71 cited
  • 2005Functional quantization of a class of Brownian diffusions: A constructive approach46 cited
  • 2012Numerical Methods in Finance43 cited
  • 2016From Empirical Observations to Tree Models for Stochastic Optimization: Convergence Properties42 cited
  • 2008Functional quantization rate and mean regularity of processes with an application to Lévy processes41 cited
  • 2008Functional quantization rate and mean regularity of processes with an application to Lévy processes36 cited
  • 2023Signature-Based Models: Theory and Calibration30 cited
  • 2015Recursive Marginal Quantization of the Euler Scheme of a Diffusion Process30 cited
  • 2016Pricing via recursive quantization in stochastic volatility models23 cited

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  • 2017A backward Monte Carlo approach to exotic option pricing23 cited
  • 2015Optimal representation of multi-dimensional random fields with a moderate number of samples: Application to stochastic mechanics10 cited