IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Solving for the Retirement Age in a Continuous-time Model with Endogenous Labor Supply

  • Emin Gahramanov

    ()

  • Xueli Tang

This paper studies a continuous-time life-cycle model with a consumption-leisure choice made by a finitely-lived agent with a random lifetime. We explicitly account for the leisure constraint in the corresponding constrained optimal control problem with a commonly postulated solution structure, and provide a complete analytic solution of the problem. By solving both the constrained and unconstrained control formulations, we demonstrate the inaccuracy of the latter formulation (where an unconstrained leisure path gets truncated once it exceeds the time endowment limit) can indeed be significant. For cases when the subjective discount rate is quite close to or exceeds the interest rate, the optimal control path would not be consistent with the structure of the optimal solution so commonly postulated in applied studies.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.deakin.edu.au/buslaw/aef/workingpapers/papers/2013_5.pdf
Download Restriction: no

Paper provided by Deakin University, Faculty of Business and Law, School of Accounting, Economics and Finance in its series Economics Series with number 2013_5.

as
in new window

Length:
Date of creation: 13 Nov 2013
Date of revision:
Handle: RePEc:dkn:econwp:eco_2013_5
Contact details of provider: Postal: 221 Burwood Highway, Burwood 3125
Phone: 61 3 9244 3815
Web page: http://www.deakin.edu.au/buslaw/aef/index.php

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. CREMER, Helmuth & LOZACHMEUR, Jean-Marie & PESTIEAU, Pierre, . "Social security, retirement age and optimal income taxation," CORE Discussion Papers RP 1722, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Richard Rogerson & Johanna Wallenius, 2007. "Micro and Macro Elasticities in a Life Cycle Model With Taxes," NBER Working Papers 13017, National Bureau of Economic Research, Inc.
  3. Bullard, James & Feigenbaum, James, 2007. "A leisurely reading of the life-cycle consumption data," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2305-2320, November.
  4. Andrew A. Samwick, 1998. "New Evidence on Pensions, Social Security, and the Timing of Retirement," NBER Working Papers 6534, National Bureau of Economic Research, Inc.
  5. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-94, March.
  6. Jonathan Gruber & David A. Wise, 2002. "Social Security Programs and Retirement Around the World: Micro Estimation," NBER Working Papers 9407, National Bureau of Economic Research, Inc.
  7. Zeldes, Stephen P, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 275-98, May.
  8. Jonathan Gruber & David Wise, 2005. "Social Security Programs and Retirement around the World: Fiscal Implications, Introduction and Summary," NBER Working Papers 11290, National Bureau of Economic Research, Inc.
  9. Skinner, Jonathan, 1985. "Variable Lifespan and the Intertemporal Elasticity of Consumption," The Review of Economics and Statistics, MIT Press, vol. 67(4), pages 616-23, November.
  10. Feigenbaum, James, 2008. "Can mortality risk explain the consumption hump?," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 844-872, September.
  11. Richard Rogerson, 2011. "Individual and Aggregate Labor Supply with Coordinated Working Times," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 7-37, 08.
  12. Frank Caliendo & Emin Gahramanov, 2013. "Myopia and pensions in general equilibrium," Journal of Economics and Finance, Springer, vol. 37(3), pages 375-401, July.
  13. Antonio Ladron de Guevara & Salvador Ortigueira & Manuel Santos, 1995. "A Two-Sector Model of Endogenous Growth with Leisure," Working Papers 9503, Centro de Investigacion Economica, ITAM.
  14. Stefano Bosi & Thomas Seegmuller, 2008. "On the Role of Progressive Taxation in a Ramsey Model with Heterogeneous Households," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00331299, HAL.
  15. D'Albis, Hippolyte & Lau, Paul S. & Sanchez-Romero, Miguel, 2012. "Mortality transition and differential incentives for early retirement," Economics Papers from University Paris Dauphine 123456789/6825, Paris Dauphine University.
  16. Juan C. Conesa & Carlos Garriga, 2008. "Optimal Fiscal Policy In The Design Of Social Security Reforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(1), pages 291-318, 02.
  17. Edward C. Prescott & Richard Rogerson & Johanna Wallenius, 2009. "Lifetime Aggregate Labor Supply with Endogenous Workweek Length," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 23-36, January.
  18. Citanna, Alessandro & Siconolfi, Paolo, 2012. "Recursive equilibrium in stochastic OLG economies: Incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 322-337.
  19. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
  20. Hakansson, Nils H, 1969. "Optimal Investment and Consumption Strategies under Risk, an Uncertain Lifetime, and Insurance," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 443-66, October.
  21. Caliendo, Frank N., 2011. "Time-inconsistent preferences and social security: Revisited in continuous time," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 668-675, May.
  22. Ben J. Heijdra & Jenny E. Ligthart, 2002. "Tax Policy, the Macroeconomy, and Intergenerational Distribution," IMF Staff Papers, Palgrave Macmillan, vol. 49(1), pages 6.
  23. George-Marios Angeletos, 2001. "The Hyberbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 47-68, Summer.
  24. repec:hal:cesptp:hal-00659868 is not listed on IDEAS
  25. Gary D. Hansen & Selahattin Imrohoroglu, 2006. "Consumption Over the Life Cycle: The Role of Annuities," NBER Working Papers 12341, National Bureau of Economic Research, Inc.
  26. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1995. "A Life Cycle Analysis of Social Security," Economic Theory, Springer, vol. 6(1), pages 83-114, June.
  27. Alan L. Gustman & Thomas L. Steinmeier, 2002. "The Social Security Early Entitlement Age in a Structural Model of Retirement and Wealth," Working Papers wp029, University of Michigan, Michigan Retirement Research Center.
  28. Emin Gahramanov & Xueli Tang, 2013. "Should We Refinance Unfunded Social Security?," Economica, London School of Economics and Political Science, vol. 80(319), pages 532-565, 07.
  29. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-77, June.
  30. Huang, Huaxiong & Milevsky, Moshe A. & Salisbury, Thomas S., 2012. "Optimal retirement consumption with a stochastic force of mortality," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 282-291.
  31. Luisa Fuster & Ayse Imrohoroglu & Selahattin Imrohoroglu, 2003. "A welfare analysis of social security in a dynastic framework," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(4), pages 1247-1274, November.
  32. Heckman, James J & Macurdy, Thomas E, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 47-74, January.
  33. Gan, Zhuojiong & Lau, Sau-Him Paul, 2010. "Demographic structure and overlapping generations: A simpler proof with more general conditions," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 311-319, May.
  34. Shantanu Bagchi & James Feigenbaum, 2014. "Is Smoking a Fiscal Good?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(1), pages 170-190, January.
  35. Farhi, Emmanuel & Panageas, Stavros, 2007. "Saving and investing for early retirement: A theoretical analysis," Journal of Financial Economics, Elsevier, vol. 83(1), pages 87-121, January.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:dkn:econwp:eco_2013_5. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dr Xueli Tang)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.