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Article Dans Une Revue SIAM Journal on Financial Mathematics Année : 2023

Constrained Monotone Mean-Variance Problem with Random Coefficients

Ying Hu
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Xiaomin Shi
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Zuo Quan Xu

Résumé

This paper studies the monotone mean-variance (MMV) problem and the classical meanvariance (MV) problem with convex cone trading constraints in a market with random coefficients. We provide semiclosed optimal strategies and optimal values for both problems via certain backward stochastic differential equations (BSDEs). After noting the links between these BSDEs, we find that the two problems share the same optimal portfolio and optimal value. This generalizes the result of Shen and Zou [ SIAM J. Financial Math., 13 (2022), pp. SC99-SC112] from deterministic coefficients to random ones.
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Dates et versions

hal-04364587 , version 1 (27-12-2023)

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Ying Hu, Xiaomin Shi, Zuo Quan Xu. Constrained Monotone Mean-Variance Problem with Random Coefficients. SIAM Journal on Financial Mathematics, 2023, 14 (3), pp.838-854. ⟨10.1137/22M154418X⟩. ⟨hal-04364587⟩
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