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Stochastic Forecasts of the Social Security Trust Fund

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Author Info
Ronald D. Lee (University of California at Berkeley)
Michael W. Anderson
Shripad Tuljapurkar (Stanford University)

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Abstract

We present stochastic forecasts of the Social Security trust fund by modeling key demographic and economic variables as historical time series, and using the fitted models to generate computer simulations of future fund performance. We evaluate several plans for achieving long-term solvency by raising the normal retirement age (NRA), increasing taxes, or investing some portion of the fund in the stock market. Stochastic population trajectories by age and sex are generated using the Lee-Carter and Lee- Tuljapurkar mortality and fertility models. Interest rates, wage growth and equities returns are modeled as vector autoregressive processes. With the exception of mortality, central tendencies are constrained to the Intermediate assumptions of the 2002 Trustees Report. Combining population forecasts with forecasted per-capita tax and benefit profiles by age and sex, we obtain inflows to and outflows from the fund over time, resulting in stochastic fund trajectories and distributions. Under current legislation, we estimate the chance of insolvency by 2038 to be 50%, although the expected fund balance stays positive until 2041. An immediate 2% increase in the payroll tax rate from 12.4% to 14.4% sustains a positive expected fund balance until 2078, with a 50% chance of solvency through 2064. Investing 60% of the fund in the S&P 500 by 2015 keeps the expected fund balance positive until 2060, with a 50% chance of solvency through 2042. An increase in the NRA to age 69 by 2024 keeps the expected fund balance positive until 2047, with a 50% chance of solvency through 2041. A combination of raising the payroll tax to 13.4%, increasing the NRA to 69 by 2024, and investing 25% of the fund in equities by 2015 keeps the expected fund balance positive past 2101 with a 50% chance of solvency through 2077.

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Paper provided by University of Michigan, Michigan Retirement Research Center in its series Working Papers with number wp043.

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Length: 36 pages
Date of creation: Jan 2003
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Handle: RePEc:mrr:papers:wp043

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Andrew A. Samwick, 1998. "New Evidence on Pensions, Social Security, and the Timing of Retirement," NBER Working Papers 6534, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Tuljapurkar, Shripad, 1992. "Stochastic population forecasts and their uses," International Journal of Forecasting, Elsevier, vol. 8(3), pages 385-391, November. [Downloadable!] (restricted)
  3. Shripad Tuljapurkar & Carl Boe, . "Mortality Change and Forecasting: How Much and How Little Do We Know?," Pension Research Council Working Papers 98-2, Wharton School Pension Research Council, University of Pennsylvania. [Downloadable!]
  4. Lee, Ronald & Tuljapurkar, Shripad, 1998. "Uncertain Demographic Futures and Social Security Finances," American Economic Review, American Economic Association, vol. 88(2), pages 237-41, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Alan J. Auerbach & Ronald Lee, 2006. "Notional Defined Contribution Pension Systems in a Stochastic Context: Design and Stability," NBER Working Papers 12805, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Michael Anderson & Hisashi Yamagata & Shripad Tuljapurkar, 2001. "Stochastic Rates of Return for Social Security Under Various Policy Scenarios," Working Papers wp010, University of Michigan, Michigan Retirement Research Center. [Downloadable!]
  3. Joel E. Cohen, 2001. "World population in 2050: assessing the projections," Conference Series ; [Proceedings], Federal Reserve Bank of Boston. [Downloadable!]
  4. Giovanni Mastrobuoni, 2005. "Labor Supply Effects of the Recent Social Security Benefit Cuts: Empirical Estimates Using Cohort Discontinuities," Carlo Alberto Notebooks 33, Collegio Carlo Alberto, revised 2006. [Downloadable!]
    Other versions:
  5. Giovanni Mastrobuoni, 2006. "Labor Supply Effects of the Recent Social Security Benefit Cuts: Empirical Estimates Using Cohort Discontinuities," Working Papers 893, Princeton University, Department of Economics, Industrial Relations Section.. [Downloadable!]
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