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Numerical solution of linear and nonlinear Black–Scholes option pricing equations
14 references·8 citing·32 second hop
Numerical solution of linear and nonlinear Black–Scholes option pricing equations (2008)Numerical solution of linear and nonlinea…The Feedback Effect of Hedging in Illiquid Markets (2000)The Feedback Effect of Hedgin…Pricing Financial Instruments: The Finite Difference Method (2000)Pricing Financial Instruments…Perfect option hedging for a large trader (1998)Perfect option hedging for a …Option pricing with transaction costs and a nonlinear Black-Scholes equation (1998)Option pricing with transacti…On Feedback Effects from Hedging Derivatives (1998)On Feedback Effects from Hedg…Option pricing: Mathematical models and computation (1994)Option pricing: Mathematical …Dynamic hedging portfolios for derivative securities in the presence of large transaction costs (1994)Dynamic hedging portfolios fo…European Option Pricing with Transaction Costs (1993)European Option Pricing with …Option Replication in Discrete Time with Transaction Costs (1992)Option Replication in Discret…Market Manipulation, Bubbles, Corners, and Short Squeezes (1992)Market Manipulation, Bubbles,…DERIVATIVE ASSET PRICING WITH TRANSACTION COSTS1 (1992)DERIVATIVE ASSET PRICING WITH…Market Liquidity, Hedging, and Crashes (1990)Market Liquidity, Hedging, an…Market Liquidity, Hedging and Crashes (1989)Market Liquidity, Hedging and…Option Pricing and Replication with Transactions Costs (1985)Option Pricing and Replicatio…From Traditional to Computationally Efficient Scientific Computing Algorithms in Option Pricing: Current Progresses with Future Directions (2025)From Traditional to Computati…Finite Difference Method for the Black–Scholes Equation Without Boundary Conditions (2017)Finite Difference Method for …Analysis of the Nonlinear Option Pricing Model Under Variable Transaction Costs (2016)Analysis of the Nonlinear Opt…European Option Pricing of Fractional Version of the Black-Scholes Model: Approach Via Expansion in Series (2014)European Option Pricing of Fr…An upwind finite difference method for a nonlinear Black–Scholes equation governing European option valuation under transaction costs (2013)An upwind finite difference m…Superconvergence of the finite element solutions of the Black–Scholes equation (2012)Superconvergence of the finit…A high-order compact method for nonlinear Black–Scholes option pricing equations of American options (2011)A high-order compact method f…A numerical method for European Option Pricing with transaction costs nonlinear equation (2009)A numerical method for Europe…Option pricing: A simplified approach (1979)Capital Market Equilibrium with Transaction Costs (1986)Portfolio Selection with Transaction Costs (1990)There is no Nontrivial Hedging Portfolio for Option Pricing with Transaction Costs (1995)HEDGING AND PORTFOLIO OPTIMIZATION UNDER TRANSACTION COSTS: A MARTINGALE APPROACH12 (1996)The Pricing of Options and Corporate Liabilities (1973)A solution approach to valuation with unhedgeable risks (2001)Controlled Markov Processes and Viscosity Solutions (2005)Liquidity Risk and Arbitrage Pricing Theory (2010)Deep hedging (2019)Martingales and stochastic integrals in the theory of continuous trading (1981)Bid, ask and transaction prices in a specialist market with heterogeneously informed traders (1985)Price, trade size, and information in securities markets (1987)Price Manipulation and Quasi-Arbitrage (2004)Stock Market Manipulations* (2006)Exchange trading rules and stock market liquidity☆ (2010)Continuous-Time Finance. (1991)The Valuation of Uncertain Income Streams and the Pricing of Options (1976)Pricing and hedging derivative securities in markets with uncertain volatilities (1995)Rollover Risk and Credit Risk (2012)Far Field Boundary Conditions for Black--Scholes Equations (2000)PDE methods for pricing barrier options (2000)A Real Options Approach to the Valuation of a Forestry Investment (2002)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)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)A microscopic model of the stock market (1994)Multifrequency news and stock returns☆ (2007)Commodity Financialization and Information Transmission (2022)Limited market participation and volatility of asset prices (1993)Agent-based computational finance: Suggested readings and early research (2000)Institutional Investors and Stock Market Volatility (2006)
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References

  • 1985Option Pricing and Replication with Transactions Costs915 cited
  • 1994Option pricing: Mathematical models and computation805 cited
  • 1990Market Liquidity, Hedging, and Crashes550 cited
  • 2000Pricing Financial Instruments: The Finite Difference Method478 cited
  • 1993European Option Pricing with Transaction Costs474 cited
  • 1992DERIVATIVE ASSET PRICING WITH TRANSACTION COSTS1420 cited
  • 1992Option Replication in Discrete Time with Transaction Costs411 cited
  • 1992Market Manipulation, Bubbles, Corners, and Short Squeezes394 cited
  • 1998Option pricing with transaction costs and a nonlinear Black-Scholes equation357 cited
  • 1989Market Liquidity, Hedging and Crashes159 cited
  • 2000The Feedback Effect of Hedging in Illiquid Markets153 cited
  • 1998Perfect option hedging for a large trader145 cited
  • 1998On Feedback Effects from Hedging Derivatives124 cited
  • 1994Dynamic hedging portfolios for derivative securities in the presence of large transaction costs118 cited

Cited by

  • 2013An upwind finite difference method for a nonlinear Black–Scholes equation governing European option valuation under transaction costs

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60 cited
  • 2009A numerical method for European Option Pricing with transaction costs nonlinear equation57 cited
  • 2016Analysis of the Nonlinear Option Pricing Model Under Variable Transaction Costs38 cited
  • 2012Superconvergence of the finite element solutions of the Black–Scholes equation28 cited
  • 2025From Traditional to Computationally Efficient Scientific Computing Algorithms in Option Pricing: Current Progresses with Future Directions26 cited
  • 2017Finite Difference Method for the Black–Scholes Equation Without Boundary Conditions25 cited
  • 2011A high-order compact method for nonlinear Black–Scholes option pricing equations of American options21 cited
  • 2014European Option Pricing of Fractional Version of the Black-Scholes Model: Approach Via Expansion in Series20 cited