Buffington, J. and Elliott, R. J. (2002) American Options with Regime-Switching. International Journal of Theoretical and Applied Finance, 5, 497-514.
https://doi.org/10.1142/S0219024902001523

has been cited by the following article:

• TITLE: Goal Achieving Probabilities of Mean-Variance Strategies in a Market with Regime-Switching Volatility

  AUTHORS: René Ferland, François Watier

  KEYWORDS: First Passage Time Probabilities, Mean-Variance Strategy, Regime-Switching Model

  JOURNAL NAME: Applied Mathematics, Vol.13 No.7, July 19, 2022

  ABSTRACT: In this paper, we establish properties for the switch-when-safe mean-variance strategies in the context of a Black-Scholes market model with stochastic volatility processes driven by a continuous-time Markov chain with a finite number of states. More precisely, expressions for the goal-achieving probabilities of the terminal wealth are obtained and numerical comparisons of lower bounds for these probabilities are shown for various market parameters. We conclude with asymptotic results when the Markovian changes in the volatility parameters appear with either higher or lower frequencies.