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Optimal life-cycle labour supply, consumption, and investment: The role of longevity-linked assets

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  • Menoncin, Francesco
  • Regis, Luca

Abstract

We solve in closed form the problem of an agent who maximises his inter-temporal lifetime utility. The agent is subject to the so-called longevity risk, i.e. his force of mortality is stochastic. His utility is additively separable on leisure (while working) and consumption. Consumer’s preferences belong to the Hyperbolic Absolute Risk Aversion family, with a subsistence consumption level. The individual optimally chooses labour supply, consumption, and portfolio allocation. We study these optimal choices when the agent has access to a complete financial market, where he can trade in longevity-linked securities. He can also contribute to a personal pension scheme. A calibrated application shows that the optimal demand for the longevity-linked assets crucially depends on the stages of the agent’s life and his wage profiles. This observation opens up the possibility of longevity risk transfers across individuals with heterogeneous characteristics.

Suggested Citation

  • Menoncin, Francesco & Regis, Luca, 2020. "Optimal life-cycle labour supply, consumption, and investment: The role of longevity-linked assets," Journal of Banking & Finance, Elsevier, vol. 120(C).
    • Handle: RePEc:eee:jbfina:v:120:y:2020:i:c:s0378426620301977
    DOI: 10.1016/j.jbankfin.2020.105935
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    as
    1. Rupert, Peter & Zanella, Giulio, 2015. "Revisiting wage, earnings, and hours profiles," Journal of Monetary Economics, Elsevier, vol. 72(C), pages 114-130.
    2. Tullio Jappelli & Franco Modigliani, 2006. "The Age–Saving Profile and the Life-Cycle Hypothesis," Chapters, in: Lawrence R. Klein (ed.), Long-run Growth and Short-run Stabilization, chapter 2, Edward Elgar Publishing.
    3. Francisco J. Gomes & Laurence J. Kotlikoff & Luis M. Viceira, 2008. "Optimal Life-Cycle Investing with Flexible Labor Supply: A Welfare Analysis of Life-Cycle Funds," American Economic Review, American Economic Association, vol. 98(2), pages 297-303, May.
    4. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    5. Jingjing Chai & Wolfram Horneff & Raimond Maurer & Olivia S. Mitchell, 2011. "Optimal Portfolio Choice over the Life Cycle with Flexible Work, Endogenous Retirement, and Lifetime Payouts," Review of Finance, European Finance Association, vol. 15(4), pages 875-907.
    6. Alex Cowley & J. David Cummins, 2005. "Securitization of Life Insurance Assets and Liabilities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 193-226, June.
    7. Blake, David & El Karoui, Nicole & Loisel, Stéphane & MacMinn, Richard, 2018. "Longevity risk and capital markets: The 2015–16 update," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 157-173.
    8. Kingston, Geoffrey & Thorp, Susan, 2005. "Annuitization and asset allocation with HARA utility," Journal of Pension Economics and Finance, Cambridge University Press, vol. 4(3), pages 225-248, November.
    9. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    10. David Domeij & Martin Floden, 2006. "The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 242-262, April.
    11. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    12. Johanna Wallenius, 2011. "Human Capital Accumulation and the Intertemporal Elasticity of Substitution of Labor: How Large is the Bias?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(4), pages 577-591, October.
    13. Dahl, Mikkel & Moller, Thomas, 2006. "Valuation and hedging of life insurance liabilities with systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 193-217, October.
    14. Antonio Cutanda & Juan A. Sanchis Llopis, 2019. "Intertemporal substitution for consumption and leisure: empirical evidence for Spain," Working Papers 1909, Department of Applied Economics II, Universidad de Valencia.
    15. Fung, Man Chung & Ignatieva, Katja & Sherris, Michael, 2014. "Systematic mortality risk: An analysis of guaranteed lifetime withdrawal benefits in variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 103-115.
    16. Dybvig, Philip H. & Liu, Hong, 2010. "Lifetime consumption and investment: Retirement and constrained borrowing," Journal of Economic Theory, Elsevier, vol. 145(3), pages 885-907, May.
    17. Felix Reichling & Kent Smetters, 2015. "Optimal Annuitization with Stochastic Mortality and Correlated Medical Costs," American Economic Review, American Economic Association, vol. 105(11), pages 3273-3320, November.
    18. LUCIANO, Elisa & VIGNA, Elena, 2008. "Mortality risk via affine stochastic intensities: calibration and empirical relevance," MPRA Paper 59627, University Library of Munich, Germany.
    19. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    20. Cocco, João F. & Gomes, Francisco J., 2012. "Longevity risk, retirement savings, and financial innovation," Journal of Financial Economics, Elsevier, vol. 103(3), pages 507-529.
    21. Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013. "Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, September.
    22. Hári, Norbert & De Waegenaere, Anja & Melenberg, Bertrand & Nijman, Theo E., 2008. "Longevity risk in portfolios of pension annuities," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 505-519, April.
    23. Hongbin Li & Xinzheng Shi & Binzhen Wu, 2015. "The Retirement Consumption Puzzle in China," American Economic Review, American Economic Association, vol. 105(5), pages 437-441, May.
    24. Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.
    25. Xiaodong Fan & Ananth Seshadri & Christopher Taber, 2017. "Understanding Earnings, Labor Supply, and Retirement Decisions," Working Papers wp367, University of Michigan, Michigan Retirement Research Center.
    26. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    27. Giulio Zanella & Peter Rupert, 2010. "Revisiting Wage, Earnings, and Hours Profiles," 2010 Meeting Papers 1158, Society for Economic Dynamics.
    28. Yijia Lin & Samuel H. Cox, 2005. "Securitization of Mortality Risks in Life Annuities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(2), pages 227-252, June.
    29. Milevsky, Moshe A. & David Promislow, S., 2001. "Mortality derivatives and the option to annuitise," Insurance: Mathematics and Economics, Elsevier, vol. 29(3), pages 299-318, December.
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