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Optimal dynamic futures portfolio in a regime-switching market framework

Tim Leung and Yang Zhou ()
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Yang Zhou: Department of Applied Mathematics, University of Washington, Seattle, WA 98195, USA

International Journal of Financial Engineering (IJFE), 2019, vol. 06, issue 04, 1-27

Abstract: We study the problem of dynamically trading futures in a regime-switching market. Modeling the underlying asset price as a Markov-modulated diffusion process, we present a utility maximization approach to determine the optimal futures trading strategy. This leads to the analysis of the associated system of Hamilton–Jacobi–Bellman (HJB) equations, which are reduced to a system of linear ODEs. We apply our stochastic framework to two models, namely, the Regime-Switching Geometric Brownian Motion (RS-GBM) model and Regime-Switching Exponential Ornstein–Uhlenbeck (RS-XOU) model. Numerical examples are provided to illustrate the investor’s optimal futures positions and portfolio value across market regimes.

Keywords: Futures trading; portfolio optimization; regime switching; stochastic control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S2424786319500348

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