Solving Constrained Consumption–Investment Problems by Simulation of Artificial Market Strategies

References

• Bodie Z, Merton RC, Samuelson WF. Labor supply flexibility and portfolio choice in a life cycle model. J. Econom. Dynam. Control (1992) 16(3–4):427–449Crossref, Google Scholar
• Bouchard B, Ekeland I, Touzi N. On the Malliavin approach to Monte Carlo approximation of conditional expectations. Finance Stochastics (2004) 8(1):45–71Crossref, Google Scholar
• Brandt MW, Goyal A, Santa-Clara P, Stroud JR. A simulation approach to dynamic portfolio choice with an application to learning about return predictability. Rev. Financial Stud. (2005) 18(3):831–873Crossref, Google Scholar
• Brennan MJ, Xia Y. Stochastic interest rates and the bond-stock mix. Eur. Finance Rev. (2000) 4(2):197–210Crossref, Google Scholar
• Brennan MJ, Schwartz ES, Lagnado R. Strategic asset allocation. J. Econom. Dynam. Control (1997) 21(8–9):1377–1403Crossref, Google Scholar
• Bucks BK, Kennickell AB, Mach TL, Moore KB. Changes in U.S. family finances from 2004 to 2007: Evidence from the Survey of Consumer Finances. Federal Reserve Bull. (2009) 95(February):A1–A56Google Scholar
• Campbell JY, Viceira LM. Who should buy long-term bonds? Amer. Econom. Rev. (2001) 91(1):99–127Crossref, Google Scholar
• Carriere JF. Valuation of the early-exercise price for options using simulations and nonparametric regression. Insurance: Math. Econom. (1996) 19(1):19–30Crossref, Google Scholar
• Christensen PO, Larsen K, Munk C. Equilibrium in securities markets with heterogeneous investors and unspanned income risk. J. Econom. Theory (2012) 147(3):1035–1063Crossref, Google Scholar
• Cocco JF, Gomes FJ, Maenhout PJ. Consumption and portfolio choice over the life cycle. Rev. Financial Stud. (2005) 18(2):491–533Crossref, Google Scholar
• Cvitanić J, Karatzas I. Convex duality in constrained portfolio optimization. Ann. Appl. Probab. (1992) 2(4):767–818Crossref, Google Scholar
• Cvitanić J, Goukasian L, Zapatero F. Monte Carlo computation of optimal portfolios in complete markets. J. Econom. Dynam. Control (2003) 27(6):971–986Crossref, Google Scholar
• Cvitanić J, Schachermayer W, Wang H. Utility maximization in incomplete markets with random endowment. Finance Stochastics (2001) 5(2):259–272Crossref, Google Scholar
• Das SR, Sundaram RK. An approximation algorithm for optimal consumption/investment problems. Intelligent Systems Accounting, Finance Management (2002) 11(2):55–69Crossref, Google Scholar
• Detemple J, Garcia R, Rindisbacher M. A Monte-Carlo method for optimal portfolios. J. Finance (2003) 58(1):401–446Crossref, Google Scholar
• Fahim A, Touzi N, Warin X. A probabilistic numerical method for fully nonlinear parabolic PDEs. Ann. Appl. Probab. (2011) 21(4):1322–1364Crossref, Google Scholar
• Garlappi L, Skoulakis G. Solving consumption and portfolio choice problems: The state variable decomposition method. Rev. Financial Stud. (2010) 23(9):3346–3400Crossref, Google Scholar
• Hakansson NH. Optimal investment and consumption strategies under risk for a class of utility functions. Econometrica (1970) 38(5):587–607Crossref, Google Scholar
• Haugh MB, Kogan L, Wang J. Evaluating portfolio policies: A duality approach. Oper. Res. (2006) 54(3):405–418Link, Google Scholar
• Henderson V. Explicit solutions to an optimal portfolio choice problem with stochastic income. J. Econom. Dynam. Control (2005) 29(7):1237–1266Crossref, Google Scholar
• Karatzas I, Lehoczky JP, Shreve SE, Xu G-L. Martingale and duality methods for utility maximization in an incomplete market. SIAM J. Control Optim. (1991) 29(3):702–730Crossref, Google Scholar
• Kogan L, Uppal R. Risk aversion and optimal portfolio policies in partial and general equilibrium economies. (2000) . Working paper, Massachusetts Institute of Technology, CambridgeGoogle Scholar
• Koijen RSJ, Nijman TE, Werker BJM. Appendix describing the numerical method used in “When can life-cycle investors benefit from time-varying bond risk premia?”. (2007) . Working paper, University of Chicago, ChicagoGoogle Scholar
• Koijen RSJ, Nijman TE, Werker BJM. When can life-cycle investors benefit from time-varying bond risk premia? Rev. Financial Stud. (2010) 23(2):741–780Crossref, Google Scholar
• Kraft H, Munk C. Optimal housing, consumption, and investment decisions over the life-cycle. Management Sci. (2011) 57(6):1025–1041Link, Google Scholar
• Kushner HJ, Dupuis PG. Numerical Methods for Stochastic Control Problems in Continuous Time, Applications of Mathematics (2001) 242nd ed.(Springer-Verlag, New York) Google Scholar
• Liu J. Portfolio selection in stochastic environments. Rev. Financial Stud. (2007) 20(1):1–39Crossref, Google Scholar
• Longstaff FA, Schwartz ES. Valuing American options by simulation: A simple least-squares approach. Rev. Financial Stud. (2001) 14(1):113–147Crossref, Google Scholar
• Merton RC. Optimum consumption and portfolio rules in a continuous-time model. J. Econom. Theory (1971) 3(4):373–413Crossref, Google Scholar
• Munk C. Optimal consumption-investment policies with undiversifiable income risk and liquidity constraints. J. Econom. Dynam. Control (2000) 24(9):1315–1343Crossref, Google Scholar
• Munk C. Numerical methods for continuous-time, continuous-state stochastic control problems: Experiences from Merton's problem. Appl. Math. Comput. (2003) 136(1):47–77Crossref, Google Scholar
• Munk C, Sørensen C. Dynamic asset allocation with stochastic income and interest rates. J. Financial Econom. (2010) 96(3):433–462Crossref, Google Scholar
• Sørensen C. Dynamic asset allocation and fixed income management. J. Financial Quant. Anal. (1999) 34(4):513–531Crossref, Google Scholar
• Svensson LEO, Werner IM. Nontraded assets in incomplete markets. Eur. Econom. Rev. (1993) 37(5):1149–1168Crossref, Google Scholar
• van Binsbergen JH, Brandt MW. Solving dynamic portfolio choice problems by recursing on optimized portfolio weights or on the value function? Computational Econom. (2007) 29(3–4):355–367Crossref, Google Scholar
• Van Hemert O. Household interest rate risk management. Real Estate Econom. (2010) 38(3):467–505Crossref, Google Scholar
• Vasicek O. An equilibrium characterization of the term structure. J. Financial Econom. (1977) 5(2):177–188Crossref, Google Scholar
• Viceira LM. Optimal portfolio choice for long-horizon investors with nontradable labor income. J. Finance (2001) 56(2):433–470Crossref, Google Scholar
• Yao R, Zhang HH. Optimal consumption and portfolio choices with risky housing and borrowing constraints. Rev. Financial Stud. (2005) 18(1):197–239Crossref, Google Scholar