Option pricing with transaction costs and a nonlinear Black-Scholes equation
From MaRDI portal
Publication:1265770
DOI10.1007/s007800050046zbMath0915.35051OpenAlexW2040394324WikidataQ57635988 ScholiaQ57635988MaRDI QIDQ1265770
Publication date: 27 September 1998
Published in: Finance and Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s007800050046
Nonlinear parabolic equations (35K55) Optimal stochastic control (93E20) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items (only showing first 100 items - show all)
General indifference pricing with small transaction costs ⋮ OPTION PRICING AND HEDGING WITH EXECUTION COSTS AND MARKET IMPACT ⋮ A PDE representation of the density of the minimal entropy martingale measure in stochastic volatility markets ⋮ Convergence of a high-order compact finite difference scheme for a nonlinear Black–Scholes equation ⋮ Solution of time-space fractional Black-Scholes European option pricing problem through fractional reduced differential transform method ⋮ Viscosity solutions and the pricing of European-style options in a Markov-modulated exponential Lévy model ⋮ AN EMPIRICAL ANALYSIS OF OPTION PRICING WITH SHORT SELL BANS ⋮ Monotone methods in counterparty risk models with nonlinear Black-Scholes-type equations ⋮ A study on the impact of nonlinear source term in Black-Scholes option pricing model ⋮ A Leland model for delta hedging in central risk books ⋮ Nonlocal equations with gradient constraints ⋮ Equity-Indexed Life Insurance: Pricing and Reserving Using the Principle of Equivalent Utility ⋮ Moving boundary transformation for American call options with transaction cost: finite difference methods and computing ⋮ Arbitrage and control problems in finance. A presentation ⋮ Special issue: Arbitrage and control problems in finance ⋮ Analytical solutions of a time-fractional nonlinear transaction-cost model for stock option valuation in an illiquid market setting driven by a relaxed Black–Scholes assumption ⋮ Numerical solutions of Black-Scholes integro-differential equations with convergence analysis ⋮ On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance ⋮ Deep hedging ⋮ Unnamed Item ⋮ ACCELERATED SHARE REPURCHASE: PRICING AND EXECUTION STRATEGY ⋮ Computation of Delta Greek for Non-linear Models in Mathematical Finance ⋮ Asynchronous time-parallel method based on Laplace transform ⋮ A scaling limit for utility indifference prices in the discretised Bachelier model ⋮ A high-order compact method for nonlinear Black–Scholes option pricing equations of American options ⋮ Solution of the HJB Equations Involved in Utility-Based Pricing ⋮ Asymptotic replication with modified volatility under small transaction costs ⋮ Approximate solution of nonlinear Black-Scholes equation via a fully discretized fourth-order method ⋮ Analysis of the nonlinear option pricing model under variable transaction costs ⋮ Pricing perpetual put options by the Black-Scholes equation with a nonlinear volatility function ⋮ Group Analysis of the Guéant and Pu Model of Option Pricing and Hedging ⋮ A closed-form approximation for the fractional Black-Scholes model with transaction costs ⋮ Fast computational approach to the delta Greek of non-linear Black-Scholes equations ⋮ On a Numerical Approximation Scheme for Construction of the Early Exercise Boundary for a Class of Nonlinear Black–Scholes Equations ⋮ An ETD Crank-Nicolson method for reaction-diffusion systems ⋮ High Order Compact Finite Difference Schemes for a Nonlinear Black-Scholes Equation ⋮ Short Communication: Utility Indifference Pricing with High Risk Aversion and Small Linear Price Impact ⋮ Hedging Under an Expected Loss Constraint with Small Transaction Costs ⋮ Quantification of risk in classical models of finance ⋮ OPTION PRICING AND HEDGING WITH SMALL TRANSACTION COSTS ⋮ LONG HORIZONS, HIGH RISK AVERSION, AND ENDOGENOUS SPREADS ⋮ 2D Gauss-Hermite Quadrature Method for Jump-Diffusion PIDE Option Pricing Models ⋮ Duality and convergence for binomial markets with friction ⋮ Option Pricing in the Large Risk Aversion, Small Transaction Cost Limit ⋮ Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation ⋮ Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black-Scholes equation ⋮ Recent Advances in Numerical Solution of HJB Equations Arising in Option Pricing ⋮ Testing stationarity of the detrended price return in stock markets ⋮ Pricing equity-linked pure endowments with risky assets that follow Lévy processes ⋮ A space-time fractional derivative model for European option pricing with transaction costs in fractal market ⋮ Multistep schemes for one and two dimensional electromagnetic wave models based on fractional derivative approximation ⋮ A weighted finite difference method for subdiffusive Black-Scholes model ⋮ The application of nonlinear fuzzy parameters PDE method in pricing and hedging European options ⋮ A second-order positivity preserving numerical method for gamma equation ⋮ Penalty approach to a nonlinear obstacle problem governing American put option valuation under transaction costs ⋮ The dual optimizer for the growth-optimal portfolio under transaction costs ⋮ A unified approach to portfolio optimization with linear transaction costs ⋮ A high-order finite difference method for option valuation ⋮ OPTION PRICING FOR INCOMPLETE MARKETS VIA STOCHASTIC OPTIMIZATION: TRANSACTION COSTS, ADAPTIVE CONTROL AND FORECAST ⋮ A positivity-preserving numerical scheme for nonlinear option pricing models ⋮ Group classification for a class of non-linear models of the RAPM type ⋮ Optimal Investment with Transaction Costs and Stochastic Volatility Part II: Finite Horizon ⋮ A computational method to price with transaction costs under the nonlinear Black-Scholes model ⋮ Pricing equity-linked pure endowments via the principle of equivalent utility. ⋮ Pricing a contingent claim liability with transaction costs using asymptotic analysis for optimal investment ⋮ Option hedging for small investors under liquidity costs ⋮ An efficient alternating direction explicit method for solving a nonlinear partial differential equation ⋮ Nonlinear Parabolic Equations Arising in Mathematical Finance ⋮ Indifference Pricing in a Market with Transaction Costs and Jumps ⋮ Analytical and Numerical Results for American Style of Perpetual Put Options Through Transformation into Nonlinear Stationary Black-Scholes Equations ⋮ Newton-Based Solvers for Nonlinear PDEs in Finance ⋮ Double obstacle problems and fully nonlinear PDE with non-strictly convex gradient constraints ⋮ An upwind finite difference method for a nonlinear Black-Scholes equation governing European option valuation under transaction costs ⋮ Global optimal regularity for variational problems with nonsmooth non-strictly convex gradient constraints ⋮ Spline approximation method to solve an option pricing problem ⋮ Approach to the Delta Greek of nonlinear Black-Scholes equation governing European options ⋮ LIQUIDITY IN A BINOMIAL MARKET ⋮ Fast numerical valuation of options with jump under Merton's model ⋮ Numerical Methods for Non-Linear Black–Scholes Equations ⋮ Nonlinear PDE model for European options with transaction costs under Heston stochastic volatility ⋮ Optimal exercise of American puts with transaction costs under utility maximization ⋮ An efficient computational algorithm for pricing European, barrier and American options ⋮ European option pricing and hedging with both fixed and proportional transaction costs ⋮ Unnamed Item ⋮ Nonhypoellipticity and comparison principle for partial differential equations of Black-Scholes type ⋮ A distributed algorithm for European options with nonlinear volatility ⋮ A numerical method for European option pricing with transaction costs nonlinear equation ⋮ Existence and uniqueness of solutions to a quasilinear parabolic equation with quadratic gradients in financial markets ⋮ Solution of the fractional Black-Scholes option pricing model by finite difference method ⋮ PRICING IN AN INCOMPLETE MARKET WITH AN AFFINE TERM STRUCTURE ⋮ Computing option pricing models under transaction costs ⋮ Existence and uniqueness results for a semilinear Black-Scholes type equation ⋮ Utility-indifference pricing of European options with proportional transaction costs ⋮ Robust numerical algorithm to the European option with illiquid markets ⋮ A universal difference method for time-space fractional Black-Scholes equation ⋮ On the numerical solution of nonlinear Black-Scholes equations ⋮ Numerical solution of linear and nonlinear Black-Scholes option pricing equations ⋮ High order approximation of derivatives with applications to pricing of financial derivatives ⋮ A numerical method for pricing European options with proportional transaction costs ⋮ Estimation of ask and bid prices for geometric Asian options
This page was built for publication: Option pricing with transaction costs and a nonlinear Black-Scholes equation