Analytic approach for models of optimal retirement with disability risk. (English) Zbl 1536.91277
Summary: Models of optimal retirement should reflect market incompleteness in reality caused by disability risk. In this paper, we develop an analytic approach for optimal retirement models with disability risk. More precisely, we provide an analytically tractable characterization of total wealth that is the sum of financial wealth and the present value of future income. We then provide analytic properties of the retirement wealth threshold. Finally, we derive the analytical optimal consumption and portfolio choice with retirement and disability risk.
References:
| [1] | Anderson, K. H.; Burkhauser, R. V., The retirement-health nexus: a new measure of an old puzzle. J. Hum. Resour., 3, 315-330 (1985) |
| [2] | Bazzoli, G. J., The early retirement decision: new empirical evidence on the influence of health. J. Hum. Resour., 2, 214-234 (1985) |
| [3] | Bensoussan, A.; Jang, B.-G.; Park, S., Unemployment risks and optimal retirement in an incomplete market. Oper. Res., 4, 1015-1032 (2016) · Zbl 1348.91247 |
| [4] | Bensoussan, A.; Lions, J., Application of Variational Inequalities in Stochastic Control (1982), North Holland, Amsterdam · Zbl 0478.49002 |
| [5] | Bodie, Z.; Merton, R. C.; Samuelson, W. F., Labor supply flexibility and portfolio choice in a life cycle model. J. Econom. Dynam. Control, 3-4, 427-449 (1992) |
| [6] | Choi, K. J.; Jeon, J.; Lee, H.-S.; Lin, H.-C., Optimal long-term contracts with disability insurance under limited commitment. Insurance Math. Econom., 99-132 (2022) · Zbl 1492.91281 |
| [7] | Choi, K. J.; Shim, G., Disutility, optimal retirement, and portfolio selection. Math. Finance, 2, 443-467 (2006) · Zbl 1145.91343 |
| [8] | Choi, K. J.; Shim, G.; Shin, Y. H., Optimal portfolio, consumption-leisure and retirement choice problem with CES utility. Math. Finance, 3, 445-472 (2008) · Zbl 1141.91428 |
| [9] | Dwyer, D. S.; Mitchell, O. S., Health problems as determinants of retirement: Are self-rated measures endogenous?. J. Health Econ., 2, 173-193 (1999) |
| [10] | Dybvig, P. H.; Liu, H., Lifetime consumption and investment: retirement and constrained borrowing. J. Econom. Theory, 3, 885-907 (2010) · Zbl 1245.91044 |
| [11] | Farhi, E.; Panageas, S., Saving and investing for early retirement: A theoretical analysis. J. Financ. Econ., 1, 87-121 (2007) |
| [12] | Gupta, N. D.; Larsen, M., The impact of health on individual retirement plans: a panel analysis comparing self-reported versus diagnostic measures. Health Econ., 7 (2009) |
| [13] | Jang, B.-G.; Park, S.; Rhee, Y., Optimal retirement with unemployment risks. J. Bank. Financ., 9, 3585-3604 (2013) |
| [14] | Jang, B.-G.; Park, S.; Zhao, H., Optimal retirement with borrowing constraints and forced unemployment risk. Insurance Math. Econom., 25-39 (2020) · Zbl 1452.91274 |
| [15] | Karatzas, I.; Wang, H., Utility maximization with discretionary stopping. SIAM J. Control Optim., 1, 306-329 (2000) · Zbl 0963.93079 |
| [16] | Koo, H. K., Consumption and portfolio selection with labor income: a continuous time approach. Math. Finance, 1, 49-65 (1998) · Zbl 0911.90030 |
| [17] | McGarry, K., Health and retirement do changes in health affect retirement expectations?. J. Hum. Resour., 3, 624-648 (2004) |
| [18] | Merton, R. C., Lifetime portfolio selection under uncertainty: The continuous-time case. Rev. Econ. Stat., 3, 247-257 (1969) |
| [19] | Merton, R. C., Optimum consumption and portfolio rules in a continuous-time model. J. Econom. Theory, 4, 373-413 (1971) · Zbl 1011.91502 |
| [20] | Meyer, B. D.; Mok, W. K., Disability, earnings, income and consumption. J. Public Econ., 51-69 (2019) |
| [21] | Oksendal, B., Stochastic Differential Equations: An Introduction with Applications (2013), Springer Science & Business Media |
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