Optimal Retirement Under Partial Information
Published Online:30 Nov 2021https://doi.org/10.1287/moor.2021.1189
References
- [1] (2016) American options under stochastic volatility: control variates, maturity randomization & multiscale asymptotics. Quant. Finance 16(1):17–30.Crossref, Google Scholar
- [2] (2019) Optimal retirement planning under partial information. Statist. Risk Model. 36(1–4):37–55.Crossref, Google Scholar
- [3] (1992) Labor supply flexibility and portfolio choice in a life cycle model. J. Econom. Dynam. Control 16(3–4):427–449.Crossref, Google Scholar
- [4] (2006) Portfolio selection under incomplete information. Stochastic Processes Their Appl. 116(5):701–723.Crossref, Google Scholar
- [5] (2020) Optimal reduction of public debt under partial observation of the economic growth. Finance Stochastics 24(4):1083–1132.Crossref, Google Scholar
- [6] (2011) Optimal portfolio choice over the life cycle with flexible work, endogenous retirement, and lifetime payouts. Rev. Finance 15(4):875–907.Crossref, Google Scholar
- [7] (2011) Lifecycle impacts of the financial and economic crisis on household optimal consumption, portfolio choice, and labor supply. NBER Working Paper No. 17134, National Bureau of Economic Research, Cambridge, MA.Google Scholar
- [8] (2009) Optimal stopping problem for stochastic differential equations with random coefficients. SIAM J. Control Optim. 48(2):941–971.Crossref, Google Scholar
- [9] (2019) Time-consistent mean-variance pairs-trading under regime-switching cointegration. SIAM J. Financial Math. 10(2):632–665.Crossref, Google Scholar
- [10] (2019) American option model and negative Fichera function on degenerate boundary. Yin G, Zhang Q, eds. Modeling, Stochastic Control, Optimization, and Applications (Springer-Verlag, Berlin), 95–113.Crossref, Google Scholar
- [11] (2019) Stochastic volatility asymptotics for optimal subsistence consumption and investment with bankruptcy. SIAM J. Financial Math. 10(4):977–1005.Crossref, Google Scholar
- [12] (2013) Characterization of stochastic control with optimal stopping in a Sobolev space. Automatica J. IFAC 49(6):1654–1662.Crossref, Google Scholar
- [13] (2006) Disutility, optimal retirement, and portfolio selection. Math. Finance 16(2):443–467.Crossref, Google Scholar
- [14] (2010) Trend following trading under a regime switching model. SIAM J. Financial Math. 1(1):780–810.Crossref, Google Scholar
- [15] (2016) Optimal trend following trading rules. Math. Oper. Res. 41(2):626–642.Link, Google Scholar
- [16] (2020) Optimal dividends with partial information and stopping of a degenerate reflecting diffusion. Finance Stochastics 24(1):71–123.Crossref, Google Scholar
- [17] (2010) Lifetime consumption and investment: Retirement and constrained borrowing. J. Econom. Theory 145(3):885–907.Crossref, Google Scholar
- [18] (2011) Verification theorems for models of optimal consumption and investment with retirement and constrained borrowing. Math. Oper. Res. 36(4):620–635.Link, Google Scholar
- [19] (2010) Partial Differential Equations (American Mathematical Society, Providence, RI).Crossref, Google Scholar
- [20] (2007) Saving and investing for early retirement: A theoretical analysis. J. Financial Econom. 83(1):87–121.Crossref, Google Scholar
- [21] (2017) Perturbation analysis for investment portfolios under partial information with expert opinions. SIAM J. Control Optim. 55(3):1534–1566.Crossref, Google Scholar
- [22] (2017) Portfolio optimization and stochastic volatility asymptotics. Math. Finance 27(3):704–745.Crossref, Google Scholar
- [23] (2011) Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
- [24] (1986) Optimal portfolio choice under incomplete information. J. Finance 41(3):733–746.Crossref, Google Scholar
- [25] (1986) A structural retirement model. Econometrica 54(3):555–584.Crossref, Google Scholar
- [26] (2002) Retirement and the stock market bubble. NBER Working Paper No. 9404, National Bureau of Economic Research, Cambridge, MA.Google Scholar
- [27] (2016) Retirement with risk aversion change and borrowing constraints. Finance Res. Lett. 16:112–124.Crossref, Google Scholar
- [28] (2020) Optimal retirement and portfolio selection with consumption ratcheting. Math. Financial Econom. 14:353–397.Crossref, Google Scholar
- [29] (1987) Brownian Motion and Stochastic Calculus (Springer-Verlag, New York).Google Scholar
- [30] (1998) Methods of Mathematical Finance (Springer-Verlag, New York).Crossref, Google Scholar
- [31] (1980) Controlled Diffusion Processes (Springer-Verlag, New York).Crossref, Google Scholar
- [32] (1995) Utility maximization with partial information. Stochastic Processes Their Appl. 56(2):247–273.Crossref, Google Scholar
- [33] (1998) Optimal trading strategy for an investor: The case of partial information. Stochastic Processes Their Appl. 76(1):77–97.Crossref, Google Scholar
- [34] (2017) A dynamic programming approach to a consumption/investment and retirement choice problem under borrowing constraints. Japan J. Indust. Appl. Math. 34(3):793–809.Crossref, Google Scholar
- [35] (2016) The retirement consumption puzzle revisited: Evidence from the mandatory retirement policy in China. J. Comparative Econom. 44(3):623–637.Crossref, Google Scholar
- [36] (1996) Second Order Parabolic Differential Equations (World Scientific, River Edge, NJ).Crossref, Google Scholar
- [37] (2002) Risk-sensitive dynamic portfolio optimization with partial information on infinite time horizon. Ann. Appl. Probab. 12(1):173–195.Crossref, Google Scholar
- [38] (1995) The Malliavin Calculus and Related Topics (Springer-Verlag, New York, Berlin).Crossref, Google Scholar
- [39] (2006) Optimal Stopping and Free-Boundary Problems (Birkhäuser, Basel, Switzerland).Google Scholar
- [40] (2001) Optimal portfolio in partially observed stochastic volatility models. Ann. Appl. Probab. 11(1):210–238.Crossref, Google Scholar
- [41] (1990) Stochastic Integration and Stochastic Differential Equations: A New Approach (Springer-Verlag, Berlin).Crossref, Google Scholar
- [42] (2008) Optimal consumption and investment under partial information. Decisions Econom. Finance 31(2):137–170.Crossref, Google Scholar
- [43] (2005) Portfolio optimization with unobservable Markov-modulated drift process. J. Appl. Probab. 42(2):362–378.Crossref, Google Scholar
- [44] (2004) Optimizing the terminal wealth under partial information: The drift process as a continuous time Markov chain. Finance Stochastics 8(4):553–577.Crossref, Google Scholar
- [45] (2014) An optimal job, consumption/leisure, and investment policy. Oper. Res. Lett. 42(2):145–149.Crossref, Google Scholar
- [46] (2018) Reversible job-switching opportunities and portfolio selection. Appl. Math. Optim. 77(2):197–228.Crossref, Google Scholar
- [47] (1964) Some applications of stochastic differential equations to optimal nonlinear filtering. J. Soc. Indust. Appl. Math. Series A Control 2(3):347–369.Crossref, Google Scholar
- [48] (2018) Optimal consumption and portfolio selection with early retirement option. Math. Oper. Res. 43(4):1378–1404.Link, Google Scholar
- [49] (2021) Optimal retirement in a general market environment. Appl. Math. Optim. 84:1083–1130.Crossref, Google Scholar

