American Option Valuation under Continuous-Time Markov Chains

DOI10.1239/aap/1435236980zbMath1403.91339OpenAlexW1579449664MaRDI QIDQ5262446

Bjorn Eriksson, Martijn R. Pistorius

Publication date: 15 July 2015

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1435236980

zbMATH Keywords

optimal stoppingMarkov processMarkov chainnumerical approximationfree boundaryvalue functionvaluationAmerian option

Mathematics Subject Classification ID

Dynamic programming (90C39) Numerical analysis or methods applied to Markov chains (65C40) Stopping times; optimal stopping problems; gambling theory (60G40) Derivative securities (option pricing, hedging, etc.) (91G20) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

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• A Jump-Diffusion Model for Option Pricing
• Error estimates for the binomial approximation of American put options
• Exercise boundary of the American put near maturity in an exponential Lévy model
• Convergence of the trinomial tree method for pricing European/American options
• Finite approximation schemes for Lévy processes, and their application to optimal stopping problems
• Irreversible decisions under uncertainty. Optimal stopping made easy
• Some remarks on first passage of Lévy processes, the American put and pasting principles
• An Artificial Boundary Method for American Option Pricing under the CEV Model
• Optimal Stopping and the American Put
• OPTION PRICING FOR TRUNCATED LÉVY PROCESSES
• Perpetual American Options Under Lévy Processes
• CONTINUOUSLY MONITORED BARRIER OPTIONS UNDER MARKOV PROCESSES
• Randomization and the American Put
• The Smooth-Fit Property in an Exponential Lévy Model
• Option pricing: A simplified approach
• ON THE AMERICAN OPTION PROBLEM
• Markov Processes, Brownian Motion, and Time Symmetry

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