Robust Utility Maximization Under Convex Portfolio Constraints

被引：3
作者：
Matoussi, Anis [1 ]
Mezghani, Hanen [2 ]
Mnif, Mohamed [2 ]
机构：
[1] Univ Maine, Risk & Insurance Inst, Le Mans Lab Manceau Math, F-72017 Le Mans, France
[2] Univ Tunis El Manar, ENIT, Lab Modelisat Math & Numer Sci Ingenieur, Tunis, Tunisia
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2015年 / 71卷 / 02期
关键词：
Utility maximization; Backward stochastic differential equations; Recursive utility; Model uncertainty; Robust control; Maximum principle; Forward-backward system; CONSUMPTION;
D O I：
10.1007/s00245-014-9259-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a robust maximization problem from terminal wealth and consumption under a convex constraints on the portfolio. We state the existence and the uniqueness of the consumption-investment strategy by studying the associated quadratic backward stochastic differential equation. We characterize the optimal control by using the duality method and deriving a dynamic maximum principle.
引用
收藏
页码：313 / 351
页数：39
相关论文
共 22 条
  • [1] A QUARTET OF SEMIGROUPS FOR MODEL SPECIFICATION, ROBUSTNESS, PRICES OF RISK, AND MODEL DETECTION
    Anderson, Evan W.
    Hansen, Lars Peter
    Sargent, Thomas J.
    [J]. JOURNAL OF THE EUROPEAN ECONOMIC ASSOCIATION, 2003, 1 (01) : 68 - 123
  • [2] [Anonymous], 1969, Optimization by vector space methods
  • [3] Barrieu P, 2009, PRINC SER FINANC ENG, P77
  • [4] Bordigoni G, 2007, ABEL SYMP, V2, P125
  • [5] Cvitani J.
  • [6] ., 1992, Ann. Appl. Prob, V2, P767, DOI 10.1214/aoap/1177005576
  • [7] A GENERAL VERSION OF THE FUNDAMENTAL THEOREM OF ASSET PRICING
    DELBAEN, F
    SCHACHERMAYER, W
    [J]. MATHEMATISCHE ANNALEN, 1994, 300 (03) : 463 - 520
  • [8] CONTINUOUS-TIME SECURITY PRICING - A UTILITY GRADIENT APPROACH
    DUFFIE, D
    SKIADAS, C
    [J]. JOURNAL OF MATHEMATICAL ECONOMICS, 1994, 23 (02) : 107 - 131
  • [9] El Karoui N, 2001, ANN APPL PROBAB, V11, P664
  • [10] Maximization of Recursive Utilities: A Dynamic Maximum Principle Approach
    Faidi, Wahid
    Matoussi, Anis
    Mnif, Mohamed
    [J]. SIAM JOURNAL ON FINANCIAL MATHEMATICS, 2011, 2 (01): : 1014 - 1041
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