A Finite Time Horizon Optimal Stopping Problem with Regime Switching

2010 ◽  
Vol 48 (8) ◽  
pp. 5193-5213 ◽  
Author(s):  
H. Le ◽  
C. Wang
Keyword(s):  
Optimal Stopping ◽  
Finite Time ◽  
Regime Switching ◽  
Time Horizon ◽  
Optimal Stopping Problem ◽  
Finite Time Horizon

Russian options with a finite time horizon

2004 ◽  
Vol 41 (2) ◽  
pp. 313-326 ◽  
Author(s):  
Erik Ekström
Keyword(s):  
Asymptotic Behavior ◽  
Free Boundary ◽  
Boundary Problem ◽  
Optimal Stopping ◽  
Finite Time ◽  
Time Horizon ◽  
Black Scholes Model ◽  
Black Scholes ◽  
Finite Time Horizon ◽  
Russian Option

We investigate the Russian option with a finite time horizon in the standard Black–Scholes model. The value of the option is shown to be a solution of a certain parabolic free boundary problem, and the optimal stopping boundary is shown to be continuous. Moreover, the asymptotic behavior of the optimal stopping boundary near expiration is studied.

Russian options with a finite time horizon

2004 ◽  
Vol 41 (02) ◽  
pp. 313-326 ◽  
Author(s):  
Erik Ekström
Keyword(s):  
Asymptotic Behavior ◽  
Free Boundary ◽  
Boundary Problem ◽  
Optimal Stopping ◽  
Finite Time ◽  
Time Horizon ◽  
Black Scholes Model ◽  
Black Scholes ◽  
Finite Time Horizon ◽  
Russian Option

We investigate the Russian option with a finite time horizon in the standard Black–Scholes model. The value of the option is shown to be a solution of a certain parabolic free boundary problem, and the optimal stopping boundary is shown to be continuous. Moreover, the asymptotic behavior of the optimal stopping boundary near expiration is studied.

A Competitive Optimal Stopping Game

2017 ◽  
Vol 18 (1) ◽  
Author(s):  
Mark Whitmeyer
Keyword(s):  
Nash Equilibrium ◽  
Optimal Stopping ◽  
Finite Time ◽  
Time Horizon ◽  
Cutoff Value ◽  
Bayesian Nash Equilibrium ◽  
Stopping Game ◽  
Player Game ◽  
Finite Time Horizon

AbstractThis paper explores a multi-player game of optimal stopping over a finite time horizon. A player wins by retaining a higher value than her competitors do, from a series of independent draws. In our game, a cutoff strategy is optimal, we derive its form, and we show that there is a unique Bayesian Nash Equilibrium in symmetric cutoff strategies. We establish results concerning the cutoff value in its limit and expose techniques, in particular, use of the Budan-Fourier Theorem, that may be useful in other similar problems.

scholarly journals A Constrained Markovian Diffusion Model for Controlling the Pollution Accumulation

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1466
Author(s):  
Beatris Adriana Escobedo-Trujillo ◽  
José Daniel López-Barrientos ◽  
Javier Garrido-Meléndez
Keyword(s):  
Dynamic Programming ◽  
Dirichlet Problem ◽  
Stochastic Control ◽  
Finite Time ◽  
Time Horizon ◽  
Closed Loop ◽  
Programming Techniques ◽  
Pollution Accumulation ◽  
Finite Time Horizon ◽  
The Cost

This work presents a study of a finite-time horizon stochastic control problem with restrictions on both the reward and the cost functions. To this end, it uses standard dynamic programming techniques, and an extension of the classic Lagrange multipliers approach. The coefficients considered here are supposed to be unbounded, and the obtained strategies are of non-stationary closed-loop type. The driving thread of the paper is a sequence of examples on a pollution accumulation model, which is used for the purpose of showing three algorithms for the purpose of replicating the results. There, the reader can find a result on the interchangeability of limits in a Dirichlet problem.

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