DOI QR코드

DOI QR Code

A multi-state model approach for risk analysis of pensions for married couples with consideration of mortality difference by marital status

  • Stefani, Anastasia (Department of Statistics and Actuarial Science, Soongsil University) ;
  • Kwon, Hyuk-Sung (Department of Statistics and Actuarial Science, Soongsil University)
  • Received : 2021.05.26
  • Accepted : 2021.08.12
  • Published : 2021.11.30

Abstract

Marital status has been identified as an important risk factor affecting adult mortality. Many studies have found that marriage has positive effects on mortality and increases life expectancy. Since most pension contracts providing retirement income are provided to married couples, mortality assumption for actuarial valuation based on the entire population is likely to overestimate the actual mortality of the group of beneficiaries specified in the contracts. This study considered the differences in mortality according to marital status to analyze the length and value of the payments of a typical pension contract for a married couple. The study quantified the effect on actuarial measurements of considering marital status in mortality assumptions with a multi-state model framework using Korean experience mortality data organized by marital status. The results of analysis indicate that considering marital status in mortality assumptions improves mortality risk management.

Keywords

References

  1. Alaminos E and Ayuso M (2019). "Marital status, gender, mortality and pensions : The disadvantages of being single in old age", Revista Espanola de Investigaciones Sociologicas, 165, 3-24.
  2. Brockmann H and Klein T (2004). "Love and death in Germany: The marital biography and its effect on mortality", Journal of Marriage and Family, 66, 567-581. https://doi.org/10.1111/j.0022-2445.2004.00038.x
  3. Brown RL and McDaid J (2003). "Factors affecting retirement mortality", North American Actuarial Journal, 7, 24-43. https://doi.org/10.1080/10920277.2003.10596083
  4. Bulanda JR, Brown S and Yamashita T (2016). "Marital quality, marital dissolution, and mortality risk during the later life course", Social Science and Medicine, 165, 119-127. https://doi.org/10.1016/j.socscimed.2016.07.025
  5. Dickson DCM, Hardy MR, and Waters HR (2020). "Actuarial Mathematics for Life Contingent Risks", Cambridge University Press, New York.
  6. Frees EW, Jacques C and Emiliano V (1996). "Annuity valuation with dependent mortality", Journal of Risk and Insurance, 63, 229-261. https://doi.org/10.2307/253744
  7. Gomez SL, Hurley S, Canchola AJ, Keegan THM, Cheng I, Murphy JD, Clarke CA and Glaser SL (2016). "Effects of marital status and economic resources on survival after cancer: A population-based study", Cancer, 122, 1618-1625. https://doi.org/10.1002/cncr.29885
  8. Gove WR (1973). "Sex, Marital Status, and Mortality", American Journal of Sociology, 79, 45-67. https://doi.org/10.1086/225505
  9. Hedel KV, Lenthe FJV, Avendano M, et al. (2015). "Marital status, labour force activity and mortality: A study in the USA and six European countries", Scandinavian Journal of Public Health, 43, 469-480. https://doi.org/10.1177/1403494815578947
  10. Hu Y and Goldman N (1990). "Mortality differentials by marital status: An international comparison", Demography, 27, 233-250. https://doi.org/10.2307/2061451
  11. Jia H and Lubetkin EI (2020). "Life expectancy and active life expectancy by marital status among older U.S. adults: Results from the U.S. medicare health outcome survey (HOS)", SSM-Population Health, 12, 100642. https://doi.org/10.1016/j.ssmph.2020.100642
  12. Kposowa AJ (2000). "Marital Status and Suicide in the National Longitudinal Mortality Study", Journal of Epidemiology and Community Health, 54, 254-261. https://doi.org/10.1136/jech.54.4.254
  13. Kwon HS (2015). "Consideration of Marital Status in a Mortality Model and its Application for Mortality Risk Management", Asia Pacific Journal of Risk and Insurance, 10, 193-216. https://doi.org/10.1515/apjri-2015-0018
  14. Kwon HS and Jones BL (2006). "The Impact of the Determinants of Mortality on Life Insurance and Annuities", Insurance: Mathematics and Economics, 38, 271-288. https://doi.org/10.1016/j.insmatheco.2005.08.007
  15. Kwon HS and Kim JE (2013). "Designing a Life Actuarial Model with Reflection of Mortality Differential by Marital Status", Journal of the Korean Data and Information Science Society, 24, 571-584. https://doi.org/10.7465/jkdi.2013.24.3.571
  16. Lee SY (2012). "Mortality Differential by Marital Status", Journal of the Korean Official Statistics, 17, 53-68.
  17. Lillard LA and Panis CW (1996). "Marital Status and Mortality: The Role of Health", Demography, 33, 313-327. https://doi.org/10.2307/2061764
  18. Lowrie WB (1982). "An Extension of the Whittaker-Henderson Method of Graduation", Transactions of Society of Actuaries, 34, 329-368.
  19. Martinez ME, Anderson K, Murphy JD, et al. (2016). "Differences in marital status and mortality by race/ethnicity and nativity among California cancer patients", Cancer, 122, 1570-1578. https://doi.org/10.1002/cncr.29886
  20. Murphy M, Kalogirou S, and Grundy E (2007). "The Increase in Marital Status Differences in Mortality up to the Oldest Age in Seven European Countries, 1990-99", Population Studies, 61, 287-298. https://doi.org/10.1080/00324720701524466
  21. Park SK, Lee CK, and Kim H (2018). "Suicide mortality and marital status for specific ages, genders, and education levels in South Korea: Using a virtually individualized dataset from national aggregate data", Journal of Affective Disorders, 237, 87-93. https://doi.org/10.1016/j.jad.2018.05.003
  22. Park YS, Park SK, Choi BS, and Kim KH (2009). "A comparison of probability of death result using beers's interpolation coefficient and Greville's formula", Journal of the Korean Data Analysis Society, 11, 97-110.
  23. Pechholdova M and Samanova G (2013). "Mortality by marital status in a rapidly changing society: Evidence from the Czech Republic", Demographic Research, 29, 307-322. https://doi.org/10.4054/DemRes.2013.29.12
  24. Ramezankhani A, Azizi F, and Hadaegh F (2019). "Associations of marital status with diabetes, hypertension, cardiovascular disease and all-cause mortality: A long term follow-up study", PLoS ONE, 14, e0215593. https://doi.org/10.1371/journal.pone.0215593
  25. Smith KR and Waitzman N (1994). "Double jeopardy: interaction effects of marital and poverty status on the risk of mortality", Demography, 31, 487-507. https://doi.org/10.2307/2061754
  26. Trovato F and Lauris G (1989). "Marital Status and Mortality in Canada: 1951-1981", Journal of Marriage and Family, 51, 907-922. https://doi.org/10.2307/353204
  27. Whisman MA, Gilmour AL, and Salinger JM (2018). "Marital satisfaction and mortality in the United States adult population", Health Psychology, 37, 1041-1044. https://doi.org/10.1037/hea0000677