DOI QR코드

DOI QR Code

Household, personal, and financial determinants of surrender in Korean health insurance

  • Shim, Hyunoo (Department of Actuarial Science, Hanyang University) ;
  • Min, Jung Yeun (Department of Finance and Insurance, Hanyang University) ;
  • Choi, Yang Ho (Department of Actuarial Science, Hanyang University)
  • Received : 2021.01.29
  • Accepted : 2021.04.21
  • Published : 2021.09.30

Abstract

In insurance, the surrender rate is an important variable that threatens the sustainability of insurers and determines the profitability of the contract. Unlike other actuarial assumptions that determine the cash flow of an insurance contract, however, it is characterized by endogenous variables such as people's economic, social, and subjective decisions. Therefore, a microscopic approach is required to identify and analyze the factors that determine the lapse rate. Specifically, micro-level characteristics including the individual, demographic, microeconomic, and household characteristics of policyholders are necessary for the analysis. In this study, we select panel survey data of Korean Retirement Income Study (KReIS) with many diverse dimensions to determine which variables have a decisive effect on the lapse and apply the lasso regularized regression model to analyze it empirically. As the data contain many missing values, they are imputed using the random forest method. Among the household variables, we find that the non-existence of old dependents, the existence of young dependents, and employed family members increase the surrender rate. Among the individual variables, divorce, non-urban residential areas, apartment type of housing, non-ownership of homes, and bad relationship with siblings increase the lapse rate. Finally, among the financial variables, low income, low expenditure, the existence of children that incur child care expenditure, not expecting to bequest from spouse, not holding public health insurance, and expecting to benefit from a retirement pension increase the lapse rate. Some of these findings are consistent with those in the literature.

Keywords

References

  1. Albizzati MO and Geman H (1994). Interest rate risk management and valuation of the surrender option in life insurance policies, The Journal of Risk and Insurance, 61, 616-637. https://doi.org/10.2307/253641
  2. Altman DG and Andersen PK (1989). Bootstrap investigation of the stability of a Cox regression model, Statistics in Medicine, 8, 771-783. https://doi.org/10.1002/sim.4780080702
  3. Anderson DR and Nevin JR (1975). Determinants of young marrieds' life insurance purchasing behavior: an empirical investigation, The Journal of Risk and Insurance, 42, 375-387. https://doi.org/10.2307/251694
  4. Bacinello AR (2003). Fair valuation of a guaranteed life insurance participating contract embedding a surrender option, The Journal of Risk and Insurance, 70, 461-487. https://doi.org/10.1111/1539-6975.t01-1-00060
  5. Bacinello AR (2003). Pricing guaranteed life insurance participating policies with annual premiums and surrender option, North American Actuarial Journal, 7, 1-17. https://doi.org/10.1080/10920277.2003.10596097
  6. Bacinello AR (2005). Endogenous model of surrender conditions in equity-linked life insurance, Insurance: Mathematics and Economics, 37, 270-296. https://doi.org/10.1016/j.insmatheco.2005.02.002
  7. Bajaj MVR (2017). On the Drivers of Lapse Rates in Life Insurance(Master Thesis), Universitat de Barcelona.
  8. Bauer D, Gao J, Moenig T, Ulm ER, and Zhu N (2017). Policyholder exercise behavior in life insurance: the state of affairs, North American Actuarial Journal, 21, 485-501. https://doi.org/10.1080/10920277.2017.1314816
  9. Berekson LL (1972). Birth order, anxiety, affiliation and the purchase of life insurance, The Journal of Risk and Insurance, 39, 93-108. https://doi.org/10.2307/251654
  10. Boj del Val E, Claramunt Bielsa MM, and Varea Soler X (2020). Role of private long-term care insurance in financial sustainability for an aging society, Sustainability, 12, 8894. https://doi.org/10.3390/su12218894
  11. Breiman L (2001). Random forests, Machine Learning, 45, 5-32. https://doi.org/10.1023/A:1010933404324
  12. Brown JR, Goda GS, and McGarry K (2012). Long-term care insurance demand limited by beliefs about needs, concerns about insurers, and care available from family, Health Affairs, 31, 1294-1302. https://doi.org/10.1377/hlthaff.2011.1307
  13. Burnett JJ and Palmer BA (1984). Examining life insurance ownership through demographic and psychographic characteristics, The Journal of Risk and Insurance, 51, 453-467. https://doi.org/10.2307/252479
  14. Chesney M and Louberge H (1986). Risk aversion and the composition of wealth in the demand for full insurance coverage, Swiss Journal of Economics and Statistics, 122, 359-370.
  15. Cook PJ and Graham DA (1977). The demand for insurance and protection: the case of irreplaceable commodites, The Quarterly Journal of Economics, 91, 143-156. https://doi.org/10.2307/1883142
  16. Derksen S and Keselman HJ (1992). Backward, forward and stepwise automated subset selection algorithms: frequency of obtaining authentic and noise variables, British Journal of Mathematical and Statistical Psychology, 45, 265-282. https://doi.org/10.1111/j.2044-8317.1992.tb00992.x
  17. Duker JM (1969). Expenditures for life insurance among working-wife families, The Journal of Risk and Insurance, 36, 525-533. https://doi.org/10.2307/251159
  18. Eling M and Kiesenbauer D (2014). What policy features determine life insurance lapse? an analysis of the German market, The Journal of Risk and Insurance, 81, 241-269. https://doi.org/10.1111/j.1539-6975.2012.01504.x
  19. Eling M and Kochanski M (2013). Research on lapse in life insurance: what has been done and what needs to be done?, The Journal of Risk Finance, 14, 392-413. https://doi.org/10.1108/JRF-12-2012-0088
  20. Ferber R and Lee LC (1980). Acquisition and accumulation of life insurance in early married life, The Journal of Risk and Insurance, 47, 713-734. https://doi.org/10.2307/252292
  21. Fier SG and Liebenberg AP (2013). Life insurance lapse behavior, North American Actuarial Journal, 17, 153-167. https://doi.org/10.1080/10920277.2013.803438
  22. Fischer S (1973). A life cycle model of life insurance purchases, International Economic Review, 14, 132-152. https://doi.org/10.2307/2526049
  23. Fitzgerald JM (1989). The taste for bequests and well-being of widows: a model of life insurance demand by married couples, The Review of Economics and Statistics, 71, 206-214. https://doi.org/10.2307/1926965
  24. Gandolfi AS and Miners L (1996). Gender-based differences in life insurance ownership, The Journal of Risk and Insurance, 63, 683-693. https://doi.org/10.2307/253478
  25. Giovanni DD (2010). Lapse rate modeling: a rational expectation approach, Scandinavian Actuarial Journal, 2010, 56-67. https://doi.org/10.1080/03461230802550649
  26. Green RK and Hendershott PH (2001). Home-ownership and unemployment in the US, Urban Studies, 38, 1509-1520. https://doi.org/10.1080/00420980126669
  27. Greene MR (1963). Attitudes toward risk and a theory of insurance consumption, The Journal of Insurance, 30, 165-182. https://doi.org/10.2307/250418
  28. Grosen A and Jorgensen PL (2000). Fair valuation of life insurance liabilities: the impact of interest rate guarantees, surrender options, and bonus policies, Insurance: Mathematics and Economics, 26, 37-57. https://doi.org/10.1016/S0167-6687(99)00041-4
  29. Hammond JD, Houston DB, and Melander ER (1967). Determinants of household life insurance premium expenditures: an empirical investigation, The Journal of Risk and Insurance, 34, 397-408. https://doi.org/10.2307/250854
  30. Hanoch G and Levy H (1969). The efficiency analysis of choices involving risk, The Review of Economic Studies, 36, 335-346. https://doi.org/10.2307/2296431
  31. Hong J (2020). The effect of life insurance settlement on insurance market and consumer welfare, Communications for Statistical Applications and Methods, 27, 689-699. https://doi.org/10.29220/CSAM.2020.27.6.689
  32. Judd CM, McClelland GH, and Ryan CS (2008). Data Analysis: A Model Comparison Approach(2nd Ed), Routledge.
  33. Kim C (2005). Modeling surrender and lapse rates with economic variables, North American Actuarial Journal, 9, 56-70. https://doi.org/10.1080/10920277.2005.10596225
  34. Krstajic D, Buturovic LJ, Leahy DE, and Thomas S (2014). Cross-validation pitfalls when selecting and assessing regression and classification models, Journal of Cheminformatics, 6, 10. https://doi.org/10.1186/1758-2946-6-10
  35. Lee WJ, Park KO, and Kim HK (2010). Statistical prediction for the demand of life insurance policy loans, Communications for Statistical Applications and Methods, 17, 697-712. https://doi.org/10.5351/CKSS.2010.17.5.697
  36. Linnemann P (2003). An actuarial analysis of participating life insurance, Scandinavian Actuarial Journal, 2003, 153-176. https://doi.org/10.1080/03461230110106336
  37. Linton MA (1932). Panics and cash values, Transactions of the Actuarial Society of America, 33, 265-394.
  38. Mantis G and Farmer RN (1968). Demand for life insurance, The Journal of Risk and Insurance, 35, 247-256. https://doi.org/10.2307/250834
  39. Milhaud X and Dutang C (2018). Lapse tables for lapse risk management in insurance: a competing risk approach, European Actuarial Journal, 8, 97-126. https://doi.org/10.1007/s13385-018-0165-7
  40. Milhaud X, Loisel S, and Maume-Deschamps V (2010). Surrender Triggers in Life Insurance: Classification and Risk Predictions, Laboratoire de Sciences Actuarielle et Financiere(Working Paper).
  41. Neves C, Fernandes C, and Melo E (2014). Forecasting surrender rates using elliptical copulas and financial variables, North American Actuarial Journal, 18, 343-362. https://doi.org/10.1080/10920277.2014.888315
  42. Oshiro TM, Perez PS, and Baranauskas JA (2012). How many trees in a random forest?, Machine Learning and Data Mining in Pattern Recognition, MLDM 2012, Lecture Notes in Computer Science, Springer, 7376, 154-168.
  43. Outreville JF (1990). Whole-life insurance lapse rates and the emergency fund hypothesis, Insurance: Mathematics and Economics, 9, 249-255. https://doi.org/10.1016/0167-6687(90)90002-U
  44. Russell DT, Fier SG, Carson JM, and Dumm RE (2013). An empirical analysis of life insurance policy surrender activity, Journal of Insurance Issues, 36, 35-57.
  45. Schott FH (1971). Disintermediation through policy loans at life insurance companies, The Journal of Finance, 26, 719-729. https://doi.org/10.1111/j.1540-6261.1971.tb01725.x
  46. National Pension Service (2019). Korean Retirement & Income Study UserGuide Ver. 7.1.
  47. Shah AD, Bartlett JW, Carpenter J, Nicholas O, and Hemingway H (2014). Comparison of random forest and parametric imputation models for imputing missing data using MICE: a caliber Study, American Journal of Epidemiology, 179, 764-774. https://doi.org/10.1093/aje/kwt312
  48. Shefrin H (2002). Beyond Greed and Fear: Understanding Behavioral Finance and the Psychology of Investing, Oxford University Press.
  49. Showers VE and Shotick JA (1994). The effects of household characteristics on demand for insurance: a tobit analysis, The Journal of Risk and Insurance, 61, 492-502. https://doi.org/10.2307/253572
  50. Statistics-Korea (2015). Percentage of Home ownership.
  51. Steffensen M (2002). Intervention options in life insurance, Insurance: Mathematics and Economics, 31, 71-85. https://doi.org/10.1016/S0167-6687(02)00127-0
  52. Stekhoven DJ and Buhlmann P (2012). MissForest- non-parametric missing value imputation for mixed-type data, Bioinformatics, 28, 112-118. https://doi.org/10.1093/bioinformatics/btr597
  53. Tibshirani R (1996). Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society: Series B (Statistical Methodology), 58, 267-288.
  54. Troyanskaya O, Cantor M, Sherlock G, Brown P, Hastie T, Tibshirani R, Botstein D, and Altman RB (2001). Missing value estimation methods for DNA microarrays, Bioinformatics, 17, 520-525. https://doi.org/10.1093/bioinformatics/17.6.520
  55. Weedige SS, Ouyang H, Gao Y, and Liu Y (2019). Decision making in personal insurance: impact of insurance literacy, Sustainability, 11, 6795. https://doi.org/10.3390/su11236795
  56. Zou H and Hastie T (2005). Regularization and variable selection via the elastic net, Journal of the Royal Statistical Society: Series B (Statistical Methodology), 67, 301-320. https://doi.org/10.1111/j.1467-9868.2005.00503.x