The Private Value of Public Pensions

Individual retirement savings accounts are replacing or supplementing public basic pensions. However at decumulation, replacing the public pension with an equivalent private sector income stream may be costly. We value the Australian basic pension by calculating the wealth needed to generate an equivalent payment stream using commercial annuities or phased withdrawals, but still accounting for investment and longevity risks. At age 65, a retiree needs an accumulation of about 8.5 years earnings to match the public pension in real value and insurance features. Increasing management fees by 1% raises required wealth by about one year's earnings. Delaying retirement by 5 years lowers required wealth by about one half year's earnings. Phased withdrawals have money's worth ratios close to 0.5 suggesting that private replacement costs are high.social security; longevity risk; phased withdrawal; stochastic present value

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.