Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-25T09:13:33.422Z Has data issue: false hasContentIssue false

The impact of aggregate mortality risk on defined benefit pension plans

Published online by Cambridge University Press:  05 March 2010

IRENA DUSHI
Affiliation:
Social Security Administration
LEORA FRIEDBERG
Affiliation:
University of Virginia
TONY WEBB*
Affiliation:
Center for Retirement Research at Boston College
*

Abstract

We calculate the risk faced by defined benefit plan providers arising from uncertain aggregate mortality – the risk that the average participant will live longer than expected. First, comparing the widely cited Lee–Carter model to industry benchmarks that are commonly employed by plan providers, we show that these benchmarks appear to substantially underestimate longevity. The resultant understatement of liabilities may reach 12.2% for typical male participants in defined benefit plans and may reach 22.4% for male workers aged 22. Next, we consider consequences for plan liabilities if aggregate mortality declines unexpectedly faster than is predicted by a putatively unbiased projection. There is a 5% chance that liabilities of a terminated plan would be 3.1% to 5.3% higher than what is expected, depending on the mix of workers covered.

Type
Articles
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

American Academy of Actuaries (2004) Fundamentals of current pension funding and accounting for private sector pension plans: an analysis by the Pension Committee of the American Academy of Actuaries. www.actuary.orgGoogle Scholar
Antolin, Pablo (2007) Longevity risk and private pensions. OECD Working Papers on Insurance and Private Pensions No. 3.CrossRefGoogle Scholar
Association of Consulting Actuaries (2005) Pensions: challenges and choices. Response to the First Report of the Pensions Commission, 26 January.Google Scholar
Biffis, Enrico (2005) Affine processes for dynamic mortality and actuarial valuations. Insurance: Mathematics and Economics, 37: 443468.Google Scholar
Cairns, Andrew, David, Blake, Paul, Dawson, and Kevin, Dowd (2005) Pricing the risk on longevity bonds. Life and Pensions, pp. 4144.Google Scholar
Cairns, Andrew, David, Blake, and Kevin, Dowd (2006) A two factor model for stochastic mortality with parameter uncertainty: theory and calibration. Journal of Risk and Insurance, 73: 4, 687718.CrossRefGoogle Scholar
Credit Suisse First Boston (2006) Unpublished database of Market Capitalizations and Pension Liabilities of S&P 500 Companies.Google Scholar
Dahl, Mikkel (2004) Stochastic mortality in life insurance: market reserves and mortality-linked insurance contracts. Insurance: Mathematics and Economics, 35: 113136.Google Scholar
Deaton, Angus and Christina, Paxson (2004) Mortality, income, and income inequality over time in Britain and the United States. In David, A. Wise (ed.),Perspectives on the Economics of Aging. University of Chicago Press, pp. 247280.CrossRefGoogle Scholar
Dushi, Irena and Anthony, Webb (2004) Household annuitization decisions: simulations and empirical analyses. Journal of Pension Economics and Finance, 3: 2, 109143.CrossRefGoogle Scholar
Dushi, Irena and Anthony, Webb (2006) Rethinking the sources of adverse selection in the annuity market. In Pierre-Andre, Chiappori (ed.),Competitive Failures in Insurance Markets: Theory and Policy Implications. MIT Press, pp. 185212.CrossRefGoogle Scholar
Friedberg, Leora and Michael, Owyang (2005) Explaining the evolution of pension structure and job tenure. St Louis Federal Reserve Bank Economics Working Papers #2002–022D.CrossRefGoogle Scholar
Friedberg, Leora and Anthony, Webb (2007) Life is cheap: using mortality bonds to hedge aggregate mortality risk. The B.E. Journal of Economic Analysis and Policy, 7: 1, Art.31.CrossRefGoogle Scholar
Gustman, Alan, Olivia, Mitchell, and Thomas, Steinmeier (1994) The role of pensions in the labor market: a survey of the literature. Industrial and Labor Relations Review, 47: 3, 417438.CrossRefGoogle Scholar
Kessler, Emily (2006) Turning the tables: mortality tables should reflect improving mortality. Pension Section News, Issue No. 60, 1823.Google Scholar
Lazear, Edward P. (1986) Retirement from the Labor Force. In Orley, Ashenfelter and Richard, Layard (eds.), Handbook of Labor Economics, Vol. 1. New York: Elsevier Science Publications, pp. 305355.CrossRefGoogle Scholar
Lee, Ronald and Lawrence, R. Carter (1992) Modeling and forecasting US mortality. Journal of the American Statistical Association, 87: 419, 659671.Google Scholar
Lee, Ronald and Timothy, Miller (2001) Evaluating the performance of the Lee–Carter method for forecasting mortality. Demography, 38: 4, 537549.CrossRefGoogle ScholarPubMed
Oeppen, Jim and James, Vaupel (2002) Broken limits to life expectancy. Science, 296: 10291031.CrossRefGoogle ScholarPubMed
Olshansky, S. Jay, Bruce, A. Carnes, and Christine, Cassel (1990) In search of Methuselah: estimating the upper limits to human longevity. Science, New Series, 250: 4981, 634640.Google ScholarPubMed
Orszag, Peter and Jeffrey, R. Brown (2006) The political economy of government issued longevity bonds. Journal of Risk and Insurance, 73: 4, 611631.Google Scholar
Pensions Institute (2005) Conference summary. First International Conference on Longevity Risk and Capital Market Solutions. 18 February 2005. http://www.pensions-institute.org/conferences/longevity/conference_summary_18.02.05.pdfGoogle Scholar
Sanderson, Warren and Sergei, Scherbov (2004) Putting Oeppen and Vaupel to work: on the road to new stochastic mortality forecasts. International Institute for Applied Systems Analysis, Interim Report IR-04-049.Google Scholar
Schalick, LisaMiller, WilburHadden, C., Elsie, Pamuk, Vicente, Navarro, and Gregory, Pappas (2000) The widening gap in death rates among income groups in the United States from 1967 to 1986. International Journal of Health Services, 30: 1, 1326.CrossRefGoogle ScholarPubMed
Schieber, Sylvester (2005) The evolution and implications of federal pension regulation. In Gale, W., Shoven, J., and Warshawsky, M., The Evolving Pension System: Trends, Effects, and Proposals for Reform. The Brookings Institution, pp. 1149.Google Scholar
Siegel, Jacob (2005) The great debate on the outlook for human longevity: exposition and evaluation of two divergent views. http://www.soa.org/library/monographs/retirement-systems/living-to-100-and-beyond/2005/january/m-li05-1-xv.pdfGoogle Scholar
Social Security Advisory Board (1999) Technical panel on assumptions and methods – report. http://www.ssab.gov/1999TechnicalPanelRept.pdfGoogle Scholar
Social Security Administration (2008) The 2008 Annual Report of the Board of Trustees of the Federal Old Age, Survivors and Disability Insurance Trust Funds. Washington, DC: US Government Printing Office.Google Scholar
Treynor, Jack (1977) The principles of corporate pension finance. Journal of Finance, 32: 2, 627638.CrossRefGoogle Scholar
Tuljapurkar, Shirpad and Carl, Boe (1998) Mortality change and forecasting: how much and how little do we know? North American Actuarial Journal, 2: 4, 1347.CrossRefGoogle Scholar
Turner, Adair (2006) Pensions, risks, and capital markets. Journal of Risk and Insurance, 73: 4, 559574.CrossRefGoogle Scholar
Watson, Wyatt (2004) Accounting for pensions and other postretirement benefits (FAS) 2004. Watson Wyatt Worldwide Research Report. www.watsonwyatt.comGoogle Scholar
Watson, Wyatt (2005) How would the proposed changes to mortality standards affect plan sponsors? Watson Wyatt Insider. www.watsonwyatt.comGoogle Scholar
Watson, Wyatt (2006) 2005 Survey of actuarial assumptions and funding. Watson Wyatt Worldwide Research Report. www.watsonwyatt.comGoogle Scholar