publication . Article . 2006

Optimal stock liquidation in a regime switching model with finite time horizon

Qing Zhang; Moustapha Pemy;
Open Access English
  • Published: 01 Sep 2006 Journal: Journal of Mathematical Analysis and Applications, issue 2, pages 537-552 (issn: 0022247X, Copyright policy)
  • Publisher: Elsevier Inc.
AbstractThis paper is concerned with a finite-horizon optimal selling rule. A set of geometric Brownian motions coupled by a finite-state Markov chain is used to characterize stock price movements. Given a fixed transaction fee, the optimal selling rule can be obtained by solving an optimal stopping problem. The corresponding value function is shown to be the unique viscosity solution to the associated HJB equations. Numerical solutions to these equations and their convergence are obtained. A numerical example is presented to illustrate the results.
free text keywords: Optimal selling, Markovian switching, Viscosity solution, Applied Mathematics, Analysis, Brownian motion, Convergence (routing), Markov chain, Hamilton–Jacobi–Bellman equation, Mathematical optimization, Optimal stopping, Horizon, Bellman equation, Mathematics
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