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Finite Difference Methods in Financial Engineering
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Finite Difference Methods in Financial Engineering (2006)Finite Difference Methods in Financial En…A bibliographic overview of financial engineering in the emerging financial market (2023)A bibliographic overview of f…Practical finite difference method for solving multi-dimensional black-Scholes model in fractal market (2022)Practical finite difference m…Deep neural network framework based on backward stochastic differential equations for pricing and hedging American options in high dimensions (2020)Deep neural network framework…Pricing of guaranteed minimum withdrawal benefits in variable annuities under stochastic volatility, stochastic interest rates and stochastic mortality via the componentwise splitting method (2018)Pricing of guaranteed minimum…Resource extraction with a carbon tax and regime switching prices: Exercising your options (2017)Resource extraction with a ca…Exact Simulation of the SABR Model (2017)Exact Simulation of the SABR …Boundary conditions for the single-factor term structure equation (2016)Boundary conditions for the s…Circulant preconditioning technique for barrier options pricing under fractional diffusion models (2015)Circulant preconditioning tec…Real Options–Based Approach for Valuation of Government Guarantees in Public–Private Partnerships (2012)Real Options–Based Approach f…Radial basis functions with application to finance: American put option under jump diffusion (2011)Radial basis functions with a…The Black–Scholes equation in stochastic volatility models (2010)The Black–Scholes equation in…Boundary conditions for the single-factor term structure equation (2010)Boundary conditions for the s…THE EVALUATION OF AMERICAN OPTION PRICES UNDER STOCHASTIC VOLATILITY AND JUMP-DIFFUSION DYNAMICS USING THE METHOD OF LINES (2009)THE EVALUATION OF AMERICAN OP…Numerical methods for Lévy processes (2009)Numerical methods for Lévy pr…Boundary Values and Finite Difference Methods for the Single Factor Term Structure Equation (2009)Boundary Values and Finite Di…Lapse rate modeling: a rational expectation approach (2008)Lapse rate modeling: a ration…The Pricing of Options and Corporate Liabilities (1973)The Fine Structure of Asset Returns: An Empirical Investigation (2002)Financial Modelling with Jump Processes (2003)A Fast Preconditioned Penalty Method for American Options Pricing Under Regime-Switching Tempered Fractional Diffusion Models (2017)A fast preconditioned policy iteration method for solving the tempered fractional HJB equation governing American options valuation (2017)Stochastic Differential Equations and Applications (1976)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Continuous Martingales and Brownian Motion (1999)BUBBLES, CONVEXITY AND THE BLACK–SCHOLES EQUATION (2012)Valuation Equations for Stochastic Volatility Models (2012)Feynman–Kac formulas for regime-switching jump diffusions and their applications (2015)Option pricing when underlying stock returns are discontinuous (1976)Mathematical Models of Financial Derivatives (2008)A radial basis function based implicit–explicit method for option pricing under jump-diffusion models (2016)Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov–Galerkin method (2017)An RBF–FD method for pricing American options under jump–diffusion models (2018)An Intertemporal General Equilibrium Model of Asset Prices (1985)Interest Rate Models Theory and Practice (2001)Options and Bubbles (2006)Pricing of vanilla and first-generation exotic options in the local stochastic volatility framework: survey and new results (2014)Option pricing: A simplified approach (1979)Closed-Form Asymptotics and Numerical Approximations of 1D Parabolic Equations with Applications to Option Pricing (2011)Numerical solution of stochastic differential equations (2016)Low-Rank Tensor Approximation for Chebyshev Interpolation in Parametric Option Pricing (2020)Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models (2021)The Pricing of Options on Assets with Stochastic Volatilities (1987)Brownian Motion and Stochastic Calculus (2007)Exact simulation of the Ornstein–Uhlenbeck driven stochastic volatility model (2018)A Gamma Ornstein-Uhlenbeck Model Driven by a Hawkes Process (2019)Efficient Simulation of Generalized SABR and Stochastic Local Volatility Models based on Markov Chain Approximations (2020)An equilibrium characterization of the term structure (1977)Analyzing Convertible Bonds (1980)A Theory of the Term Structure of Interest Rates (1985)Main Determinants of Lapse in the German Life Insurance Industry (2012)Research on lapse in life insurance: what has been done and what needs to be done? (2013)The impact of policyholder behavior on pricing, hedging, and hedge efficiency of withdrawal benefit guarantees in variable annuities (2014)Theory of Rational Option Pricing (1973)The evaluation of American options in a stochastic volatility model with jumps: An efficient finite element approach (2010)High-order compact finite difference scheme for option pricing in stochastic volatility models (2012)The evaluation of barrier option prices under stochastic volatility (2012)Backward Stochastic Differential Equations in Finance (1997)Valuing American Options by Simulation: A Simple Least-Squares Approach (2001)Options, Futures and Other Derivatives (2003)Robust deep hedging (2022)From Traditional to Computationally Efficient Scientific Computing Algorithms in Option Pricing: Current Progresses with Future Directions (2025)Stochastic differential equations and applications (2008)Efficient and stable numerical solution of the Heston–Cox–Ingersoll–Ross partial differential equation by alternating direction implicit finite difference schemes (2013)
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Cited by

  • 2009THE EVALUATION OF AMERICAN OPTION PRICES UNDER STOCHASTIC VOLATILITY AND JUMP-DIFFUSION DYNAMICS USING THE METHOD OF LINES77 cited
  • 2010The Black–Scholes equation in stochastic volatility models67 cited
  • 2020Deep neural network framework based on backward stochastic differential equations for pricing and hedging American options in high dimensions63 cited
  • 2008Lapse rate modeling: a rational expectation approach53 cited
  • 2017Exact Simulation of the SABR Model52 cited
  • 2011Radial basis functions with application to finance: American put option under jump diffusion50 cited
  • 2009Boundary Values and Finite Difference Methods for the Single Factor Term Structure Equation44 cited
  • 2016Boundary conditions for the single-factor term structure equation43 cited
  • 2009Numerical methods for Lévy processes34 cited
  • 2015Circulant preconditioning technique for barrier options pricing under fractional diffusion models33 cited
  • 2017Resource extraction with a carbon tax and regime switching prices: Exercising your options31 cited
  • 2010Boundary conditions for the single-factor term structure equation28 cited
  • 2012Real Options–Based Approach for Valuation of Government Guarantees in Public–Private Partnerships28 cited

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2023
A bibliographic overview of financial engineering in the emerging financial market
25 cited
  • 2022Practical finite difference method for solving multi-dimensional black-Scholes model in fractal market24 cited
  • 2018Pricing of guaranteed minimum withdrawal benefits in variable annuities under stochastic volatility, stochastic interest rates and stochastic mortality via the componentwise splitting method22 cited