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Continuous-time mean-variance portfolio selection under non-Markovian regime-switching model with random horizon

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  • Tian Chen
  • Ruyi Liu
  • Zhen Wu

Abstract

In this paper, we consider a continuous-time mean-variance portfolio selection with regime-switching and random horizon. Unlike previous works, the dynamic of assets are described by non-Markovian regime-switching models in the sense that all the market parameters are predictable with respect to the filtration generated jointly by Markov chain and Brownian motion. We formulate this problem as a constrained stochastic linear-quadratic optimal control problem. The Markov chain is assumed to be independent of the Brownian motion. So the market is incomplete. We derive closed-form expressions for both the optimal portfolios and the efficient frontier. All the results are different from those in the problem with fixed time horizon.

Suggested Citation

  • Tian Chen & Ruyi Liu & Zhen Wu, 2022. "Continuous-time mean-variance portfolio selection under non-Markovian regime-switching model with random horizon," Papers 2205.06434, arXiv.org.
    • Handle: RePEc:arx:papers:2205.06434
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    References listed on IDEAS

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