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Estimating the Benefit-Cost Ratios by Applying Life-Expectancies of National Pension Old-Age Pensioners

국민연금 노령연금 수급자의 기대여명과 이를 적용한 수익비 산출

  • Received : 2015.07.13
  • Accepted : 2015.08.04
  • Published : 2015.08.31

Abstract

Benefit-cost ratios are estimated using life-expectancies of the national pension old-age pensioners in Korea and a compared to whole nation. To obtain the ratios, future mortalities are estimated by multiplying the ratios of experienced mortalities for old-age pensioners to those of the whole nation and the future mortalities of the whole nation projected on an expanded CBD model. The results indicate that the life expectancies of old-age pensioners are longer than the whole nation that lead to higher benefit-cost ratios for old-age pensioners.

본 연구에서는 수익비를 국민연금의 노령연금 수급자의 기대여명을 사용하여 계산하고 국민 전체의 기대여명을 사용하여 계산한 수익비와 비교한다. 이를 위해 CBD 확장모형을 이용하여 추계한 국민 전체의 사망률에 노령연금 수급자의 경험 사망확을 적용하여 노령연금 수급자의 미래 사망률을 전망한다. 연구 결과 노령연금 수급자의 사망률이 적용된 기대여명과 이로부터 산출된 수익비가 국민 전체 사망률이 적용된 결과보다 높은 것으로 나타났다.

Keywords

References

  1. Booth, H., Maindonald, J. and Smith, L. (2002). Applying Lee-Carter under conditions of variable mortality decline, Population Studies, 56, 325-336. https://doi.org/10.1080/00324720215935
  2. Brass, W. (1971-1973). Mortality models and their users in demography, Transactions of the Faculty of Actuaries, 33(239), 123-142.
  3. Cairns, A. J. G., Blake, D. and Dowd, K. (2006). A two-factor model for stochastic mortality with parameter uncertainty: Theory and calibration, The Journal of Risk and Insurance, 73, 687-718. https://doi.org/10.1111/j.1539-6975.2006.00195.x
  4. 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 & Wales and the United States, North American Actuarial Journal, 13, 1-35. https://doi.org/10.1080/10920277.2009.10597538
  5. Choi, J. H. (2015). Mortality projections for the long-term actuarial projections, Pension Forum, 58, 58-66.
  6. Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality and on a new mode of determining life contingencies, The Royal Society of London, Philosophical Transactions, Series A, 115, 513-585. https://doi.org/10.1098/rstl.1825.0026
  7. Han, J. and Lee, H. (2014). Benefit-cost analysis of national pensioners by income and life expectancy, The Korean Journal of Applied Statistics, 27, 211-226. https://doi.org/10.5351/KJAS.2014.27.2.211
  8. Kim, T. H., Park, K. A. and Kim, S. O. (1998). Differential mortality of the insured persons in national pension scheme, Korea Journal of Population Studies, 21, 80-104.
  9. Lee, R. D. and Carter, L. R. (1992). Modeling and forecasting U.S. mortality, Journal of the American Statistical Association, 87, 659-671
  10. Lee, R. D. and Miller, T. (2001). Evaluating the performance of the Lee-Carter methods for forecasting mortality, Demography, 38, 537-549. https://doi.org/10.1353/dem.2001.0036
  11. Li, N. and Lee, R. (2005). Coherent mortality forecasts for a group of populations: An extension of the Lee-Carter method, Demography, 42, 575-594. https://doi.org/10.1353/dem.2005.0021
  12. Renshaw, A. and Haberman, S. (2003). Lee-Carter mortality forecasting: A parallel generalized linear modelling approach for England and Wales mortality projections, Journal of the Royal Statistical Society. Series C (Applied statistics), 52, 119-137. https://doi.org/10.1111/1467-9876.00393
  13. Woo, H. B. (2011). Mortality and life expectancy differentials by lifetime earnings for Korean workers covered by the national pension scheme, Social Welfare Policy, 38, 113-140.