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A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS
16 references·2 citing·28 second hop
A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS (2008)A FAST, STABLE AND ACCURATE NUMERICAL MET…Tools for Computational Finance (2012)Tools for Computational Finan…Theory of rational option pricing (2005)Theory of rational option pri…Option pricing with Mellin transnforms (2004)Option pricing with Mellin tr…Analysis of the stability of the linear boundary condition for the Black–Scholes equation (2004)Analysis of the stability of …A Fast Numerical Method for the Black--Scholes Equation of American Options (2003)A Fast Numerical Method for t…Quadratic Convergence for Valuing American Options Using a Penalty Method (2002)Quadratic Convergence for Val…Penalty and front-fixing methods for the numerical solution of American option problems (2002)Penalty and front-fixing meth…Pricing Financial Instruments: The Finite Difference Method (2000)Pricing Financial Instruments…Far Field Boundary Conditions for Black--Scholes Equations (2000)Far Field Boundary Conditions…Pricing and Hedging American Options: A Recursive Integration Method (1996)Pricing and Hedging American …American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods (1996)American Option Valuation: Ne…The Mathematics of Financial Derivatives (1995)The Mathematics of Financial …The Valuation of American Put Options (1977)The Valuation of American Put…THE VALUATION OF AMERICAN PUT OPTIONS (1977)THE VALUATION OF AMERICAN PUT…Theory of Rational Option Pricing (1973)Theory of Rational Option Pri…The Pricing of Options and Corporate Liabilities (1973)The Pricing of Options and Co…Asymptotic expansion of solutions to the Black–Scholes equation arising from American option pricing near the expiry (2016)Asymptotic expansion of solut…The numerical approximation of nonlinear Black–Scholes model for exotic path-dependent American options with transaction cost (2012)The numerical approximation o…EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)ON THE PRICING OF CORPORATE DEBT: THE RISK STRUCTURE OF INTEREST RATES* (1974)A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options (1993)Option pricing: A simplified approach (1979)Efficient Analytic Approximation of American Option Values (1987)Randomization and the American Put (1998)Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options (2001)Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options (2004)Pricing and hedging derivative securities in markets with uncertain volatilities (1995)A penalty method for American options with jump diffusion processes (2004)ANNIVERSARY ARTICLE: Option Pricing: Valuation Models and Applications (2004)GUARANTEED MINIMUM WITHDRAWAL BENEFIT IN VARIABLE ANNUITIES (2008)“Options, Futures, and Other Derivatives” (2016)The Cost of Capital, Corporation Finance and the Theory of Investment (1958)CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)Theory of the firm: Managerial behavior, agency costs and ownership structure (1976)THE VALUATION OF OPTION CONTRACTS AND A TEST OF MARKET EFFICIENCY (1972)Variational inequalities and the pricing of American options (1990)ALTERNATIVE CHARACTERIZATIONS OF AMERICAN PUT OPTIONS (1992)Survival Analysis Methods for Personal Loan Data (2002)Fractional Diffusion Models of Option Prices in Markets With Jumps (2006)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)Robust numerical methods for contingent claims under jump diffusion processes (2004)A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models (2005)Pricing by American Option by Approximating its Early Exercise Boundary as a Multipiece Exponential Function (1998)On the Rate of Convergence of Discrete‐Time Contingent Claims (2000)An exact and explicit solution for the valuation of American put options (2006)Option Prices as Predictors of Equilibrium Stock Prices (1982)
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References

  • 1973The Pricing of Options and Corporate Liabilities29,064 cited
  • 1973Theory of Rational Option Pricing8,060 cited
  • 2005Theory of rational option pricing7,161 cited
  • 1995The Mathematics of Financial Derivatives1,037 cited
  • 1996American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods547 cited
  • 1977THE VALUATION OF AMERICAN PUT OPTIONS504 cited
  • 2000Pricing Financial Instruments: The Finite Difference Method478 cited
  • 1977The Valuation of American Put Options443 cited
  • 2002Quadratic Convergence for Valuing American Options Using a Penalty Method327 cited
  • 1996Pricing and Hedging American Options: A Recursive Integration Method294 cited
  • 2000Far Field Boundary Conditions for Black--Scholes Equations252 cited
  • 2012Tools for Computational Finance220 cited
  • 2002Penalty and front-fixing methods for the numerical solution of American option problems175 cited
  • 2003A Fast Numerical Method for the Black--Scholes Equation of American Options124 cited
  • 2004Analysis of the stability of the linear boundary condition for the Black–Scholes equation118 cited

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2004
Option pricing with Mellin transnforms
114 cited

Cited by

  • 2012The numerical approximation of nonlinear Black–Scholes model for exotic path-dependent American options with transaction cost45 cited
  • 2016Asymptotic expansion of solutions to the Black–Scholes equation arising from American option pricing near the expiry27 cited