The private value of public pensions
As individual retirement savings accounts replace public pensions and defined benefit schemes, more retirees will decumulate using commercial income streams rather than public or corporate annuities. Here we use an approximation to the retirement income problem [Huang, H., Milevsky, M.A., Wang, J., 2004. Ruined moments in your life: How good are the approximations? Insurance: Math. Econom. 34, 421-447] to compute the cost of replicating a public real life annuity (the Australian Age Pension) using commercial decumulation products. We treat the public pension as a phased withdrawal plan, matching insurance and payment features, and back out the stochastic present value of the plan under an arbitrarily small ruin probability. To reproduce the pension payment with 99% certainty, a male retiree needs 3.6 times the current average retirement savings account balance, and a female retiree needs more than 10 times the average female account balance. At 95% certainty, required wealth falls by around 25%. We measure separately the impact of gender, investment strategy, retirement age and management fees on this valuation.
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References listed on IDEAS
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- Hazel Bateman & Susan Thorp, 2007.
"Choices and Constraints over Retirement Income Streams: Comparing Rules and Regulations,"
Research Paper Series
200, Quantitative Finance Research Centre, University of Technology, Sydney.
- Hazel Bateman & Susan Thorp, 2008. "Choices and Constraints over Retirement Income Streams: Comparing Rules and Regulations," The Economic Record, The Economic Society of Australia, vol. 84(s1), pages S17-S31, 09.
- Hazel Bateman & Susan Thorp, 2007. "Choices and constraints over retirement income streams: comparing rules and regulations," Discussion Papers 2007-29, School of Economics, The University of New South Wales.
- Estelle James & Xue Song, 2001. "Annuities Markets Around the World: Money’s Worth and Risk Intermediation," CeRP Working Papers 16, Center for Research on Pensions and Welfare Policies, Turin (Italy).
- Huang, H. & Milevsky, M. A. & Wang, J., 2004. "Ruined moments in your life: how good are the approximations?," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 421-447, June.
- Erhan Bayraktar & Virginia Young, 2007.
"Correspondence between lifetime minimum wealth and utility of consumption,"
Finance and Stochastics,
Springer, vol. 11(2), pages 213-236, April.
- Erhan Bayraktar & Virginia R. Young, 2007. "Correspondence between Lifetime Minimum Wealth and Utility of Consumption," Papers math/0703820, arXiv.org.
- repec:cup:cbooks:9780521842587 is not listed on IDEAS
- Suzanne Doyle & Olivia S. Mitchell & John Piggott, 2004. "Annuity Values in Defined Contribution Retirement Systems: Australia and Singapore Compared," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 37(4), pages 402-416, December.
- Pitacco, Ermanno, 2004. "Survival models in a dynamic context: a survey," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 279-298, October.
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