Mean-Variance Portfolio Selection with a Stochastic Cash Flow in a Markov-switching Jump–Diffusion Market
Huiling Wu ()
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Huiling Wu: Central University of Finance and Economics
Journal of Optimization Theory and Applications, 2013, vol. 158, issue 3, No 15, 918-934
Abstract:
Abstract This paper considers a non-self-financing mean-variance portfolio selection problem in which the stock price and the stochastic cash flow follow a Markov-modulated Lévy process and a Markov-modulated Brownian motion with drift, respectively. The stochastic cash flow can be explained as the stochastic income or liability of the investors during the investment process. The existence of optimal solutions is analyzed, and the optimal strategy and the efficient frontier are derived in closed-form by the Lagrange multiplier technique and the LQ (Linear Quadratic) technique.
Keywords: Mean-variance portfolio selection; Markov regime switching; Stochastic cash flow; Geometric Levy process; LQ technique (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-013-0292-x
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