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Lifecycle Portfolio Choice with Systematic Longevity Risk and Variable Investment-Linked Deferred Annuities

Author

Listed:
  • Vasily Kartashov
  • Raimond Maurer
  • Olivia S. Mitchell
  • Ralph Rogalla

Abstract

This paper assesses the impact of variable investment-linked deferred annuities (VILDAs) on lifecycle consumption, saving, and portfolio allocation patterns given stochastic and systematic mortality. Insurers have taken two approaches to manage systematic mortality risks, namely self-insurance and risk transfer to purchasers of the annuity products. We demonstrate that self-insurance leads to high loadings, so that households offered a choice would favor the risk transfer scheme. Reservation loadings on the actuarially fair VILDA price for non-participation are 0.5-8%; if insurers cannot hedge within this range, they will transfer systematic longevity risks to the annuitants. Our findings have implications for new payout products that may be attractive to older households seeking to protect against retirement shortfalls.

Suggested Citation

  • Vasily Kartashov & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2011. "Lifecycle Portfolio Choice with Systematic Longevity Risk and Variable Investment-Linked Deferred Annuities," NBER Working Papers 17505, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:17505
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    1. Haberman, Steven & Renshaw, Arthur, 2011. "A comparative study of parametric mortality projection models," Insurance: Mathematics and Economics, Elsevier, vol. 48(1), pages 35-55, January.
    2. John Piggott & Emiliano A. Valdez & Bettina Detzel, 2005. "The Simple Analytics of a Pooled Annuity Fund," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 72(3), pages 497-520.
    3. David Blake & Andrew Cairns & Kevin Dowd & Richard MacMinn, 2006. "Longevity Bonds: Financial Engineering, Valuation, and Hedging," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 647-672.
    4. Gong, Guan & Webb, Anthony, 2010. "Evaluating the Advanced Life Deferred Annuity -- An annuity people might actually buy," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 210-221, February.
    5. 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.
    6. Shlomo Benartzi & Alessandro Previtero & Richard H. Thaler, 2011. "Annuitization Puzzles," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 143-164, Fall.
    7. 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.
    8. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
    9. repec:ete:ceswps:ces9805 is not listed on IDEAS
    10. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," Review of Economic Studies, Oxford University Press, vol. 32(2), pages 137-150.
    11. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2010. "Variable payout annuities and dynamic portfolio choice in retirement," Journal of Pension Economics and Finance, Cambridge University Press, vol. 9(02), pages 163-183, April.
    12. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718.
    13. Blake, David & Dowd, Kevin & Cairns, Andrew J.G., 2008. "Longevity risk and the Grim Reaper's toxic tail: The survivor fan charts," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 1062-1066, June.
    14. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    15. Brown, Jeffrey R. & Mitchell, Olivia S. & Poterba, James M. & Warshawsky, Mark J., 2001. "The Role of Annuity Markets in Financing Retirement," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262529130, January.
    16. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    17. Olivieri, Annamaria & Pitacco, Ermanno, 2009. "Stochastic Mortality: The Impact on Target Capital," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 39(02), pages 541-563, November.
    18. Weil, Roman L & Fisher, Lawrence, 1974. "TIAA/CREF: Who Gets What? An Analysis of Wealth Transfers in a Variable Annuity," The Journal of Business, University of Chicago Press, vol. 47(1), pages 67-87, January.
    19. Roberto Rocha & Dimitri Vittas & Heinz P. Rudolph, 2011. "Annuities and Other Retirement Products : Designing the Payout Phase," World Bank Publications, The World Bank, number 2272, April.
    20. Renshaw, A. E. & Haberman, S., 2003. "Lee-Carter mortality forecasting with age-specific enhancement," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 255-272, October.
    21. Horneff, Wolfram & Maurer, Raimond & Rogalla, Ralph, 2010. "Dynamic portfolio choice with deferred annuities," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2652-2664, November.
    22. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
    23. 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.
    24. Pitacco, Ermanno & Denuit, Michel & Haberman, Steven & Olivieri, Annamaria, 2009. "Modelling Longevity Dynamics for Pensions and Annuity Business," OUP Catalogue, Oxford University Press, number 9780199547272.
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    Cited by:

    1. Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph & Siegelin, Ivonne, 2016. "Accounting and actuarial smoothing of retirement payouts in participating life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 268-283.
    2. Horneff, Vanya & Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2015. "Optimal life cycle portfolio choice with variable annuities offering liquidity and investment downside protection," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 91-107.
    3. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.
    4. repec:eee:hapoch:v1_567 is not listed on IDEAS
    5. Steinorth, Petra & Mitchell, Olivia S., 2015. "Valuing variable annuities with guaranteed minimum lifetime withdrawal benefits," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 246-258.
    6. Felix Reichling & Kent Smetters, 2013. "Optimal Annuitization with Stochastic Mortality Probabilities: Working Paper 2013-05," Working Papers 44374, Congressional Budget Office.
    7. repec:eee:insuma:v:76:y:2017:i:c:p:75-86 is not listed on IDEAS
    8. Vanya Horneff & Raimond Maurer & Olivia S. Mitchell, 2016. "Putting the Pension Back in 401(k) Plans: Optimal versus Default Longevity Income Annuities," NBER Working Papers 22717, National Bureau of Economic Research, Inc.
    9. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    10. Hanewald, Katja & Piggott, John & Sherris, Michael, 2013. "Individual post-retirement longevity risk management under systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 52(1), pages 87-97.
    11. Horneff, Vanya & Kaschützke, Barbara & Maurer, Raimond & Rogalla, Ralph, 2014. "Welfare implications of product choice regulation during the payout phase of funded pensions," Journal of Pension Economics and Finance, Cambridge University Press, vol. 13(03), pages 272-296, July.
    12. Kwok, Kai Yin & Chiu, Mei Choi & Wong, Hoi Ying, 2016. "Demand for longevity securities under relative performance concerns: Stochastic differential games with cointegration," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 353-366.
    13. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT Institute for Advanced Studies Lucca, revised May 2015.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G2 - Financial Economics - - Financial Institutions and Services
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty

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