Nonconcave Utility Maximization with Portfolio Bounds

References

• Agarwal V, Boyson N, Naik NY (2009) Hedge funds for retail investors? An examination of hedged mutual funds. J. Financial Quantitative Anal. 44:273–305.Crossref, Google Scholar
• Aristidou A, Giga A, Lee S, Zapatero F (2021) Rolling the skewed die: Economic foundations of the demand for skewness and experimental evidence. Preprint, submitted on April 13, http://dx.doi.org/10.2139/ssrn.3168944.Google Scholar
• Barles G, Souganidis PE (1991) Convergence of approximation schemes for fully nonlinear equations. Asymptotic Anal. 4:271–283.Crossref, Google Scholar
• Basak S, Chabakauri G (2010) Dynamic mean-variance asset allocation. Rev. Financial Stud. 23:2970–3016.Crossref, Google Scholar
• Basak S, Pavlova A, Shapiro A (2007) Optimal asset allocation and risk shifting in money management. Rev. Financial Stud. 20:1583–1621.Crossref, Google Scholar
• Berkelaar AB, Kouwenberg R, Post T (2004) Optimal portfolio choice under loss aversion. Rev. Econom. Statist. 86(4):973–987.Crossref, Google Scholar
• Bian BJ, Chen XF, Xu ZQ (2019) Utility maximization under trading constraints with discontinuous utility. SIAM J. Financial Math. 10(1):243–260.Crossref, Google Scholar
• Brown KC, Harlow WV, Starks LT (1996) Of tournaments and temptations: An analysis of managerial incentives in the mutual fund industry. J. Finance 51:85–110.Crossref, Google Scholar
• Browne S (1999a) Reaching goals by a deadline: Digital options and continuous-time active portfolio management. Adv. Appl. Probabilities 31(2):551–577.Crossref, Google Scholar
• Browne S (1999b) The risk and rewards of minimizing shortfall probability. J. Portfolio Management 25(4):76–85.Crossref, Google Scholar
• Busse JA (2001) Another look at mutual fund tournaments. J. Financial Quantitative Anal. 36:53–73.Crossref, Google Scholar
• Carpenter J (2000) Does option compensation increase managerial risk appetite? J. Finance 55(5):2311–2331.Crossref, Google Scholar
• Chen H, Desai H, Krishnamurthy S (2013) A first look at mutual funds that use short sales. J. Financial Quantitative Anal. 48(3):761–787.Crossref, Google Scholar
• Chevalier J, Ellison G (1997) Risk taking by mutual funds as a response to incentives. J. Political Econom. 105:1167–1200.Crossref, Google Scholar
• Crandall MG, Ishii H, Lions PL (1992) User’s guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. (New Series) 27:1–67.Crossref, Google Scholar
• Cvitanić J, Karatzas I (1992) Convex duality in constrained portfolio optimization. Ann. Appl. Probabilities 2(4):767–818.Crossref, Google Scholar
• Dai M, Jin H, Liu H (2011) Illiquidity, position limits, and optimal investment for mutual funds. J. Econom. Theory 146(4):1598–1630.Crossref, Google Scholar
• Dai M, Jin H, Kou S, Xu Y (2021) A dynamic mean-variance analysis for log returns. Management Sci. 67(2):1093–1108.Link, Google Scholar
• DeMiguel V, Garlappi L, Nogales FJ, Uppal R (2009) A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms. Management Sci. 55(5):798–812.Link, Google Scholar
• Diecidue E, van de Ven J (2008) Aspiration level, probability of success and failure, and expected Utility. Internat. Econom. Rev. 49:683–700.Crossref, Google Scholar
• Fleming WH, Soner HM (2006) Controlled Markov Processes and Viscosity Solutions (Springer-Verlag, New York).Google Scholar
• Föllmer H, Leukert P (1999) Quantile hedging. Finance Stochastics 3:251–273.Crossref, Google Scholar
• Forsyth PA, Labahn G (2007) Numerical methods for controlled Hamilton-Jacobi-Bellman PDEs in finance. J. Comput. Finance 11(2):1–43.Crossref, Google Scholar
• Haugh MB, Kogan L, Wang J (2006) Evaluating portfolio policies: A duality approach. Oper. Res. 54:405–418.Link, Google Scholar
• He XD, Kou S (2018) Profit sharing in hedge funds. Math. Finance 28(1):50–81.Crossref, Google Scholar
• Jin H, Zhou XY (2008) Behavioral portfolio selection in continuous time. Math. Finance 18(3):385–426.Crossref, Google Scholar
• Kahneman D, Tversky A (1979) Prospect theory: An analysis of decision under risk. Econometrica 47(2):263–291.Crossref, Google Scholar
• Karatzas I, Lehoczky JP, Shreve SE, Xu GL (1991) Martingale and duality methods for utility maximization in an incomplete market. SIAM J. Control Optim. 29:702–730.Crossref, Google Scholar
• Kempf A, Ruenzi S, Thiele T (2009) Employment risk and compensation incentives as determinants of managerial risk taking. J. Financial Econom. 92:92–108.Crossref, Google Scholar
• Kim TS, Omberg E (1996) Dynamic nonmyopic portfolio behavior. Rev. Financial Stud. 9:141–161.Crossref, Google Scholar
• Liu J (2007) Portfolio selection in stochastic environments. Rev. Financial Stud. 20:1–39.Crossref, Google Scholar
• Schwarz SG (2012) Mutual fund tournaments: The sorting bias and new evidence. Rev. Financial Stud. 25(3):913–936.Crossref, Google Scholar
• Sironi P (2016) FinTech Innovation: From Robo-advisors to Goal Based Investing and Gamification (The Wiley Finance Series, Chichester, UK).Crossref, Google Scholar
• Spivak G, Cvitanić J (1999) Maximizing the probability of a perfect hedge. Ann. Appl. Probabilities 9(4):1303–1328.Google Scholar
• Vila JL, Zariphopoulou T (1997) Optimal consumption and portfolio choice with borrowing constraints. J. Econom. Theory 77(2):402–431.Crossref, Google Scholar
• Wang J, Forsyth PA (2008) Maximal use of central differencing for Hamilton-Jacobi-Bellman PDEs in finance. SIAM J. Numerical Anal. 46(3):1580–1601.Crossref, Google Scholar