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A new defined benefit pension risk measurement methodology. (English) Zbl 1348.91125

Summary: Defined benefit pension plan sponsors have taken on greater risks for sponsoring these plans in the last several years. Due to ever increasing concerns of longevity risk and the weak economic environment, sponsors are eager to understand their pension-related risks to facilitate optimal enterprise decision-making. Borrowing an analytical framework from the life insurance and annuity industry where the amount of risk is framed in terms of the total assets required to remain solvent over a one-year period with a high level of confidence, i.e., the economic capital approach, this paper develops a benchmark risk measure for pension sponsors by obtaining a total asset requirement for sustaining the pension plan. The difference between the total asset requirement and the actual trust assets thus provides a measure of sponsor assets at risk due to plan sponsorship. Two factor-based approaches are proposed for this calculation. The first approach develops a set of pension-specific factors as if the pension plan were a group annuity. The second approach directly simulates the risk drivers of the pension plan and develops a framework for obtaining factors and calculating the pension risk given a desired confidence level. Our approach is very easy to implement and monitor in practice.

MSC:

91B30 Risk theory, insurance (MSC2010)

References:

[2] Ai, Jing; Brockett, Patrick L.; Cooper, William W.; Golden, Linda L., Enterprise risk management through strategic allocation of capital, J. Risk Insur., 79, 29-56 (2012)
[4] Bauer, D.; Borger, M.; Russ, J., On the pricing of longevity-linked securities, Insurance Math. Econom., 46, 139-149 (2010) · Zbl 1231.91142
[5] Biggs, Andrew G., The hidden danger in public pension funds, Wall Street J. (2013), http://online.wsj.com/news/articles/SB10001424052702303789604579196100329273892
[7] Bodoff, Neil M., Capital allocation by percentile layer, Variance, 3, 13-30 (2009)
[8] Brouhns, N.; Denuit, M.; Vermunt, J. K., A Poisson log-bilinear regression approach to the construction of projected life tables, Insurance Math. Econom., 31, 373-393 (2002) · Zbl 1074.62524
[10] Chen, Hua; Cox, Samuel H., Modeling mortality with jumps: application to mortality securitization, J. Risk Insur., 76, 727-751 (2009)
[12] Cox, Samuel H.; Lin, Yijia; Petersen, Hal, Mortality risk modeling: application to insurance securitization, Insurance Math. Econom., 46, 242-253 (2010) · Zbl 1231.91168
[13] Cox, Samuel H.; Lin, Yijia; Tian, Ruilin; Yu, Jifeng, Managing capital market and longevity risks in a defined benefit pension plan, J. Risk Insur., 80, 585-620 (2013)
[14] Delong, Łukasz; Gerrard, Russell; Haberman, Steven, Mean-variance optimization problems for an accumulation phase in a defined benefit plan, Insurance Math. Econom., 42, 107-118 (2008) · Zbl 1141.91501
[15] Denuit, M.; Devolder, P.; Goderniaux, A., Securitization of longevity risk: pricing survivor bonds with wang transform in the Lee-Carter framework, J. Risk Insur., 74, 87-113 (2007)
[17] (Johnson, M. L.; Bengtson, V. L.; Coleman, P. G.; Kirkwood, T., The Cambridge Handbook of Age and Ageing (2005), Cambridge University Press: Cambridge University Press Cambridge, UK)
[19] Lin, Yijia; Cox, Samuel H., Securitization of mortality risks in life annuities, J. Risk Insur., 72, 227-252 (2005)
[21] Maurer, R.; Mitchell, O. S.; Rogalla, R., Managing contribution and capital market risk in a funded public defined benefit plan: impact of cvar cost constraints, Insurance Math. Econom., 45, 25-34 (2009) · Zbl 1231.91216
[23] Myers, Stewart C.; Read, James A., Capital allocation for insurance companies, J. Risk Insur., 68, 545-580 (2001)
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