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Abstract:
Recognizing the importance of incorporating different risk measures in the portfolio management model, this paper examines the dynamic mean-risk portfolio optimization problem using both variance and value at risk (VaR) as risk measures. By employing the martingale approach and integrating the quantile optimization technique, we provide a solution framework for this problem. We demonstrate that, under a general market setting, the optimal terminal wealth may exhibit different patterns. When the market parameters are deterministic, we derive the closed-form solution for this problem. Examples are provided to illustrate the solution procedure of our method and demonstrate the benefits of our dynamic portfolio model compared to its static counterpart.
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MATHEMATICS
Year: 2024
Issue: 14
Volume: 12
2 . 3 0 0
JCR@2023
CAS Journal Grade:4
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 3
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