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Economic capital for defined benefit pension schemes: An application to the UK Universities Superannuation Scheme*

Published online by Cambridge University Press:  15 March 2012

BRUCE T PORTEOUS
Affiliation:
School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK
PRADIP TAPADAR*
Affiliation:
School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK
WEI YANG
Affiliation:
School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK
*

Abstract

This article considers the amount of economic capital that defined benefit (DB) pension schemes potentially need to cover the risks they are running. A real open scheme, the Universities Superannuation Scheme, is modelled and used to illustrate our results and, as expected, economic capital requirements are large. We discuss the appropriateness of these results and what they mean for the DB pension scheme industry and their sponsors. The article is particularly pertinent following the recent European Commission Green Paper on the future of European pensions systems, its call for advice on reviewing the Institutions for Occupational Retirement Provision Directive and the introduction of the Basel 2 and Solvency 2 risk-based regulatory regimes for banking and insurance, respectively.

Type
Articles
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

*

We are very grateful to David Stevenson, Paul Sweeting, Clare Bellis, Andrew James, Stephen Walker and Lothar Breuer for providing us with comments that have improved this article. We, the authors, nevertheless remain responsible for the content and accuracy of the article. The views expressed in the paper are our own and not those of our employers.

References

Barrie, A. (2010) Don't be afraid … it's only solvency II for pensions. The Actuary Magazine, September: 2628.Google Scholar
Bauer, D., Boerger, M., Rub, J. and H-J, Zwiesler. (2008) The volatility of mortality. Asia-Pacific Journal of Risk and Insurance, 3: 184211.Google Scholar
Bauer, D., Boerger, M., Rub, J. and H-J, Zwiesler. (2010) On the Pricing of Longevity-Linked Securities. Insurance: Mathematics and Economics, 46: 139149.Google Scholar
Boerger, M. (2010) Deterministic Shock vs. Stochastic Value-at-Risk – An Analysis of the Solvency II Standard Model Approach to Longevity Ris. Blatter DGVFM, 31: 225259.CrossRefGoogle Scholar
Cairns, A.J.G., Blake, D., Dowd, K., Coughlan, G.D., Epstein, D., Ong, A. and Balevich, I. (2009) A quantitative comparison of stochastic mortality models using data from England and Wales and the United States. North American Actuarial Journal, 13(1): 135.Google Scholar
Dimson, E., Marsh, P. and Staunton, M. (2002) Triumph of the Optimists, 101 Years of Global Investment Returns. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
European Commission (2010) Green Paper: Towards Adequate, Sustainable and Safe European Pension Systems. http://ec.europa.eu/internal_market/pensions/commission-docs_en.htm.Google Scholar
European Commission (2011) Call for Advice from the European Insurance and Occupational Pensions Authority (EIOPA) for the Review of Directive 2003/41/EC (IORP II). http://ec.europa.eu/internal_market/pensions/docs/calls/042011_call_en.pdf.Google Scholar
Hari, N., De Waegenaere, A., Melenberg, B. and Nijman, T.E. (2008) Longevity risk in portfolios of pension annuities. Insurance: Mathematics and Economics, 42: 505519.Google Scholar
Heligman, L.M.A. and Pollard, J.H. (1980) The age pattern of mortality. Journal of Institute of Actuaries, 107(1): 4982.Google Scholar
Institute and Faculty of Actuaries (2002) Continuous Mortality Investigation Working Paper 1. http://www.actuaries.org.uk/research-and-resources/pages/continuous-mortality-investigation-working-papers.Google Scholar
Lauritzen, S. (1996) Graphical Models. Oxford: Clarenden Press.Google Scholar
Liu, W. and Tonks, I. (2009) Alternative risk-based levies in the pension protection fund for multi-employee schemes. Journal of Pensions, Economics and Finance, 8(4): 451483.Google Scholar
Olivier, A. and Pitacco, E. (2003) Solvency requirements for pension annuities. Journal of Pension Economics and Finance, 2(2): 127157.CrossRefGoogle Scholar
Olivier, A. and Pitacco, E. (2008) Solvency requirements for life annuities: some comparisons. Working Paper (https://ssrn.com/abstract=1266094).Google Scholar
Porteous, B.T. and Tapadar, P. (2005) Economic Capital and Financial Risk Management for Financial Services Firms and Conglomerates. Basingstoke: Palgrave MacMillan.Google Scholar
Porteous, B.T. and Tapadar, P. (2008a) The impact of capital structure on financial services firm economic capital and risk adjusted performance. Astin Bulletin, 38(1): 341380.Google Scholar
Porteous, B.T. and Tapadar, P. (2008b) Asset allocation to optimise life insurance annuity firm economic capital and risk adjusted performance. Annals of Actuarial Science, 3: 187214.Google Scholar
Stevens, R., De Waegenaere, A. and Melenberg, B. (2009) Longevity risk and natural hedge potential in portfolios of life insurance products: the effect of investment risk. Working Paper (http://www.actuaries.org/Munich2009/Programme_EN.cfm).Google Scholar
Sweeting, P. (2008a) The cost and value of UK defined benefit provision. Journal of Pension Economics and Finance, 7(1): 336.Google Scholar
Sweeting, P. (2008b) Stochastic Mortality Made Easy. London: Staple Inn Actuarial Society.Google Scholar
The Pension Protection Fund and the Pensions Regulator (2008) The Purple Book 2008. http://www.pensionprotectionfund.org.uk/Pages/ThePurpleBook.aspx.Google Scholar
The Pension Protection Fund and the Pensions Regulator (2009) The Purple Book 2009. http://www.pensionprotectionfund.org.uk/Pages/ThePurpleBook.aspx.Google Scholar
Wilkie, A.D. (1995) More on a stochastic asset model for actuarial use. British Actuarial Journal, V: 777964.Google Scholar
Willets, R.C., Gallop, A.P., Leandro, P.A., Lu, J.L.C., MacDonald, A.S., Miller, K.A., Richards, S.J., Robjohns, N., Ryan, J.P. and Waters, H.R. (2004) Longevity in the 21st century. British Actuarial Journal, 10: 685832.Google Scholar