Continuous-Time Portfolio Choice Under Monotone Mean-Variance Preferences—Stochastic Factor Case

References

• [1] Artzner P, Delbaen F, Eber JM, Heath D (1999) Coherent measures of risk. Math. Finance 9(9):203–228.Crossref, Google Scholar
• [2] Basak S, Chabakauri G (2010) Dynamic mean-variance asset allocation. Rev. Financial Stud. 23(8):2970–3016.Crossref, Google Scholar
• [3] Bäuerle N, Grether S (2015) Complete markets do not allow free cash flow streams. Math. Methods Oper. Res. 81(2):137–146.Crossref, Google Scholar
• [4] Bordigoni G, Matoussi A, Schweizer M (2007) A stochastic control approach to a robust utility maximization problem. Benth FE, Di Nunno G, Lindstrom T, Øksendal B, Zhang T, eds. Stochastic Analysis and Applications, The Abel Symposia, vol. 2 (Springer, Berlin), 125–151.Crossref, Google Scholar
• [5] Campbell JY, Viceira LM (1999) Consumption and portfolio decisions when expected returns are time varying. Quart. J. Econom. 114(2):433–495.Crossref, Google Scholar
• [6] Cui X, Li D, Wang S, Zhu S (2012) Better than dynamic mean variance: Time inconsistency and free cash flow stream. Math. Finance 22(2):346–378.Crossref, Google Scholar
• [7] Elliott RJ, Siu TK (2009) Portfolio risk minimization and differential games. Nonlinear Anal. 71(12):e2127–e2135.Crossref, Google Scholar
• [8] Elliott RJ, Siu TK (2010) On risk minimizing portfolios under a Markovian regime-switching Black-Scholes economy. Ann. Oper. Res. 176(1):271–291.Crossref, Google Scholar
• [9] Elliott RJ, Siu TK (2010) Risk-based indifference pricing under a stochastic volatility model. Commun. Stochastic Anal. 4(1):51–73.Google Scholar
• [10] Elliott RJ, Siu TK (2011) A BSDE approach to a risk-based optimal investment of an insurer. Automatica 47(2):253–261.Crossref, Google Scholar
• [11] Fleming WH, Hernández-Hernández D (2003) An optimal consumption model with stochastic volatility. Finance Stochastics 7(2):245–262.Crossref, Google Scholar
• [12] Fleming WH, Soner HM (2006) Controlled Markov Processes and Viscosity Solutions, 2nd ed. (Springer, New York).Google Scholar
• [13] Föllmer H, Schied A (2012) Convex measures of risk and trading constraints. Finance Stochastics 6(4):429–447.Crossref, Google Scholar
• [14] Frittelli M, Rosazza-Gianin E (2002) Putting order in risk measures. J. Banking Finance 26(7):1473–1486.Crossref, Google Scholar
• [15] Gilboa I, Schmeidler D (1989) Maxmin expected utility with non-unique prior. J. Math. Econom. 18(2):141–153.Crossref, Google Scholar
• [16] Heath D, Schweizer M (2000) Martingales versus PDEs in finance: An equivalence result with examples. J. Appl. Probab. 37(04):947–957.Crossref, Google Scholar
• [17] Hernández D, Schied A (2007) A control approach to robust utility maximization with logarithmic utility and time-consistent penalties. Stochastic Processes Appl. 117(8):980–1000.Crossref, Google Scholar
• [18] Kallsen J, Muhle-Karbe J, Shenkman N, Vierthauer R (2010) Discrete time variance-optimal hedging in affine stochastic volatility models. Kiesel R, Scherer M, eds. Alternative Investments and Strategies (World Scientific, Singapore), 375–393.Crossref, Google Scholar
• [19] Kim TS, Omberg E (1996) Dynamic nonmyopic portfolio behavior. Rev. Financial Stud. 9(1):141–161.Crossref, Google Scholar
• [20] Kraft H, Seiferling T, Seifried FT (2017) Optimal consumption and investment with Epstein–Zin recursive utility. Finance Stochastics 21(1):187–226.Crossref, Google Scholar
• [21] Laurent J, Pham H (1999) Dynamic programming and mean-variance hedging. Finance Stochastics 3(1):83–110.Crossref, Google Scholar
• [22] Li D, Ng W (2000) Optimal dynamic portfolio selection: Multiperiod mean-variance formulation. Math. Finance 10(3):387–406.Crossref, Google Scholar
• [23] Liu J (2007) Portfolio selection in stochastic environments. Rev. Financial Stud. 20(1):1–39.Crossref, Google Scholar
• [24] Maccheroni F, Marinacci M, Rustichini A (2006) Ambiguity aversion, robustness, and the variational representation of preferences. Econometrica 74(6):1447–1498.Crossref, Google Scholar
• [25] Maccheroni F, Marinacci M, Rustichini A, Taboga M (2009) Portfolio selection with monotone mean-variance preferences. Math. Finance 19(3):487–521.Crossref, Google Scholar
• [26] Markowitz H (1952) Portfolio selection. J. Finance 7(1):77–91.Google Scholar
• [27] Mataramvura S, Øksendal B (2008) Risk minimizing portfolios and HJBI equations for stochastic differential games. Stochastics 80(4):317–337.Crossref, Google Scholar
• [28] Øksendal B, Sulem A (2009) Risk indifference pricing in jump diffusion markets. Math. Finance 19(4):619–637.Crossref, Google Scholar
• [29] Øksendal B, Sulem A (2014) Forward-backward stochastic differential games and stochastic control under model uncertainty. J. Optim. Theory Appl. 161(1):22–55.Crossref, Google Scholar
• [30] Pham H (2009) Continuous-Time Stochastic Control and Optimization with Financial Applications (Springer-Verlag, Berlin).Crossref, Google Scholar
• [31] Shen Y, Zeng X (2015) Optimal investment–reinsurance strategy for mean–variance insurers with square-root factor process. Insurance Math. Econom. 62(May):118–137.Crossref, Google Scholar
• [32] von Neumann J, Morgenstern O (1944) Theory of Games and Economic Behavior (Princeton University Press, Princeton, NJ).Google Scholar
• [33] Yaari M (1987) The dual theory of choice under risk. Econometrica 55(1):95–115.Crossref, Google Scholar
• [34] Zariphopoulou T (2001) A solution approach to valuation with unhegeable risks. Finance Stochastics 5(1):61–82.Crossref, Google Scholar
• [35] Zawisza D (2010) Robust portfolio selection under exponential preferences. Appl. Math. 37(2):215–230.Google Scholar
• [36] Zawisza D (2012) Target achieving portfolio under model misspecification: Quadratic optimization framework. Appl. Math. 39(4):425–443.Google Scholar
• [37] Zeng X, Taksar M (2013) A stochastic volatility model and optimal portfolio selection. Quant. Finance 13(10):1547–1558.Crossref, Google Scholar
• [38] Zhou XY, Li D (2000) Continuous-time mean-variance portfolio selection: A stochastic LQ framework. Appl. Math. Optim. 42(1):19–33.Crossref, Google Scholar