Corrected random walk approximations to free boundary problems in optimal stopping
From MaRDI portal
Publication:5426468
DOI10.1239/aap/1189518637zbMath1127.60038OpenAlexW2080985046MaRDI QIDQ5426468
Tze Leung Lai, Yi-Ching Yao, Farid AitSahlia
Publication date: 12 November 2007
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/aap/1189518637
Dynamic programming (90C39) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stopping times; optimal stopping problems; gambling theory (60G40)
Related Items (7)
Exercise Regions And Efficient Valuation Of American Lookback Options ⋮ Asymptotic Equivalence Between Boundary Perturbations and Discrete Exit Times: Application to Simulation Schemes ⋮ On the Sn/n problem ⋮ Continuity correction: on the pricing of discrete double barrier options ⋮ RISK HORIZON AND REBALANCING HORIZON IN PORTFOLIO RISK MEASUREMENT ⋮ Optimal stopping for Brownian motion with applications to sequential analysis and option pricing ⋮ Optimal stopping for Shepp's urn with risk aversion
Cites Work
- Comments on a problem of Chernoff and Petkau
- The pricing of the American option
- An optimal stopping problem with linear reward
- On optimal stopping and free boundary problems
- An optimal stopping problem for sums of dichotomous random variables
- Uniform Tauberian theorems and their applications to renewal theory and first passage problems
- Error estimates for the binomial approximation of American put options
- On the moments and limit distributions of some first passage times
- Brownian optimal stopping and random walks
- Optimal learning and experimentation in bandit problems.
- Convexity of the optimal stopping boundary for the American put option
- Easily determining which urns are 'favorable'
- Properties of American option prices
- On optimal stopping rules for \(s_ n /n\)
- Singular Stochastic Control, Linear Diffusions, and Optimal Stopping: A Class of Solvable Problems
- A Continuity Correction for Discrete Barrier Options
- Moments of ladder variables for driftless random walks
- Time Dependent Free Boundary Problems
- Connections between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems
- CONVEXITY OF THE EXERCISE BOUNDARY OF THE AMERICAN PUT OPTION ON A ZERO DIVIDEND ASSET
- A Mathematical Analysis of the Optimal Exercise Boundary for American Put Options
- Numerical Solutions for Bayes Sequential Decision Problems
- SOME NEW RESULTS IN THE THEORY OF CONTROLLED DIFFUSION PROCESSES
- Some solvable stochastic control problemst†
- Variational Inequalities in Sequential Analysis
- Optimal Stopping Problems in Stochastic Control
- Optimal Stopping and the American Put
- Singular stochastic control and optimal stopping
- American options on assets with dividends near expiry
- Option pricing: A simplified approach
- ON THE AMERICAN OPTION PROBLEM
- Explicit Solutions to Some Problems of Optimal Stopping
- Regarding stopping rules for Brownian motion and random walks
- Sequential decisions in the control of a space-ship (finite fuel)
- On Excess Over the Boundary
- Optimal Stopping Rules for Stochastic Processes with Continuous Parameter
- Sequential Tests for the Mean of a Normal Distribution IV (Discrete Case)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Corrected random walk approximations to free boundary problems in optimal stopping