Open Access Journal Article

Portfolio Allocation with Medical Expenditure Risk-A Life Cycle Model and Machine Learning Analysis

by You Du a  and  Weige Huang b,*
a
Department of Economics, Finance, and Accounting, Robbins College of Business and Entrepreneurship, Fort Hays State University, Hays, KS, USA
b
Faculty of Economics, Shenzhen MSU-BIT University, Shenzhen, China
*
Author to whom correspondence should be addressed.
Received: 25 May 2023 / Accepted: 6 July 2023 / Published Online: 11 October 2023

Abstract

This paper explores how the medical expenditure risk affects the households’ portfolio choice across health status theoretically in a life cycle model and empirically using machine learning methods. Medical expenditure risk, as a background risk, has the potential to influence households’ financial decisions. A higher medical expenditure risk leads to a larger fluctuation and more uncertainty in households’ consumption and therefore utility. As a result, risk-free assets become more attractive. Our machine learning analysis provides evidence that aligns with the predictions of the theoretical life cycle model. Specifically, households with better health hold a larger proportion of stocks in their portfolios. Furthermore, when facing increased medical expenditure risk, households in good health demonstrate a greater willingness to invest in safe assets.


Copyright: © 2023 by Du and Huang. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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ACS Style
Du, Y.; Huang, W. Portfolio Allocation with Medical Expenditure Risk-A Life Cycle Model and Machine Learning Analysis. Journal of Regional Economics, 2023, 2, 10. https://doi.org/10.58567/jre02010005
AMA Style
Du Y, Huang W. Portfolio Allocation with Medical Expenditure Risk-A Life Cycle Model and Machine Learning Analysis. Journal of Regional Economics; 2023, 2(1):10. https://doi.org/10.58567/jre02010005
Chicago/Turabian Style
Du, You; Huang, Weige 2023. "Portfolio Allocation with Medical Expenditure Risk-A Life Cycle Model and Machine Learning Analysis" Journal of Regional Economics 2, no.1:10. https://doi.org/10.58567/jre02010005
APA style
Du, Y., & Huang, W. (2023). Portfolio Allocation with Medical Expenditure Risk-A Life Cycle Model and Machine Learning Analysis. Journal of Regional Economics, 2(1), 10. https://doi.org/10.58567/jre02010005

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References

  1. Ayyagari, P. and D. He. (2017). The Role of Medical Expenditure Risk in Portfolio Allocation Decisions. Health Economics, 26 (11), 1447-1458. https://doi.org/10.1002/hec.3437
  2. Ban, G. Y., El Karoui, N., and Lim, A. E. (2018). Machine learning and portfolio optimization. Management Science, 64(3), 1136-1154. https://doi.org/10.1287/mnsc.2016.2644
  3. Brunnermeier, M. K. and S. Nagel. (2008). Do Wealth Fluctuations Generate Time-Varying Risk Aversion? Micro-Evidence on Individuals’ Asset Allocation. The American Economic Review, 98 (3), 713-736. https://doi.org/10.1257/aer.98.3.713
  4. Campanale, C., C. Fugazza and F. Gomes. (2015). Life-cycle portfolio choice with liquid and illiquid financial assets. Journal of Monetary Economics, 71, 67-83. https://doi.org/10.1016/j.jmoneco.2014.11.008
  5. Capatina, E. (2015). Life cycle effects of health risk. Journal of Monetary Economics, 74, 67-88. https://doi.org/10.1016/j.jmoneco.2015.06.002
  6. Capatina, E., M. Keane, S. Maruyama. (2018). Health Shocks and the Evolution of Consumption and Income over the Life-Cycle. Working paper.
  7. Capatina,E., M. Keane, S. Maruyama. (2018). Socio-economic Disparities in US Healthcare Spending: The Role of Public vs Private Insurance. UNSW Business School Paper No.2018-03.
  8. Castello-Climent, A and R. Domenech. (2008). Human Capital Inequality, Life Expectancy and Economic Growth. The Economic Journal, 118 (528), 653-677. https://doi.org/10.1111/j.1468-0297.2008.02136.x
  9. Chang, Y., J. H. Hong and M. Karabarbounis. (2018). Labor Market Uncertainty and Portfolio Choice Puzzles. American Economic Journal: Macroeconomics, 10 (2), 222-62. https://doi.org/10.1257/mac.20160207
  10. Chen, T., and Guestrin, C. (2016). Xgboost: A scalable tree boosting system, [In Proceedings of the 22nd acm sigkdd international conference on knowledge discovery and data mining (pp. 785-794)]. https://doi.org/10.1145/2939672.2939785
  11. Chiappori, P. and M. Paiella. (2011). Relative Risk Aversion is Constant: Evidence from Panel Data. Journal of the European Economic Association, 9 (6), 1021-1052. https://doi.org/10.1111/j.1542-4774.2011.01046.x
  12. Cocco, J.F., F. Gomes and P.J. Maenhout. (2005). Consumption and Portfolio Choice over the Life Cycle. The Review of Financial Studies, 18 (2), 491-533. https://doi.org/10.1093/rfs/hhi017
  13. Cocco,J.F. (2005). Portfolio Choice in the Presence of Housing. The Review of Financial Studies, 18 (2), 535-567. https://doi.org/10.1093/rfs/hhi006
  14. Deaton, A. (2003). Health, Inequality, and Economic Development. Journal of Economic Literature, 41(1), 113-158. https://doi.org/10.1257/002205103321544710
  15. De Nardi, M., E. French and J. Jones. (2010). Why do the elderly save? The role of medical expenses. The Journal of Political Economy, 118 (1), 39-75. https://doi.org/10.1086/651674
  16. De Nardi, M., S. Pashchenko and P. Porapakkarm. (2018). The Lifetime Costs of Bad Health. Working paper.
  17. Du, Y. (2021). Optimal Consumption and Portfolio Choice: The Impact of Health and Health Risk. The Economics and Finance Letters, 8(2), 266–276. https://doi.org/10.18488/journal.29.2021.82.266.276
  18. Edwards, R.D. (2008). Health Risk and Portfolio Choice. Journal of Business & Economic Statistics, 26 (4), 472-485. https://doi.org/10.1198/073500107000000287
  19. Fagereng, A., C. Gottlieb, L. Guiso. (2017). Asset Market Participation and Portfolio Choice over the Life-Cycle. The Journal of Finance, 72 (2), 705-750. https://doi.org/10.1111/jofi.12484
  20. Fagereng, A., L. Guiso and L. Pistaferri. (2018). Portfolio Choices, Firm Shocks, and Uninsurable Wage Risk. The Review of Economic Studies, 85 (1), 437-474. https://doi.org/10.1093/restud/rdx023
  21. Fan, X., A. Seshadri and C. Taber. (2015). Estimation of a Life-Cycle Model with Human Capital, Labor Supply and Retirement. Working paper.
  22. Fuchs, Victor R. (1966). The Contribution of Health Services to the American Economy. The Milbank Memorial Fund Quarterly, 44(4), 65-103. https://doi.org/10.2307/3349060
  23. Goldman, D. and N. Maestas. (2013). Medical expenditure risk and household portfolio choice. Journal of Applied Econometrics, 28(4), 527-550. https://doi.org/10.1002/jae.2278
  24. Gomes, F and A. Michaelides (2005). Optimal life cycle asset allocation: understanding the empirical evidence. The Journal of Finance, 60 (2), 869-904. https://doi.org/10.1111/j.1540-6261.2005.00749.x
  25. Grossman, M., (1972). On the concept of health capital and the demand for health. The Journal of Political Economy, 80 (2), 223-255. https://doi.org/10.7312/gros17812-004
  26. Guiso, L. and M. Paiella. (2008). Risk Aversion, Wealth, and Background Risk. Journal of the European Economic Association, 6 (6), 1109-1150. https://doi.org/10.1162/JEEA.2008.6.6.1109
  27. Halliday, T.J., H. He, L. Ning, and H. Zhang. (2019). Health Investment over the Life-Cycle. Macroeconomic Dynamics, 23, 178-215. https://doi.org/10.1017/S1365100516001152
  28. Hall, R.E. and C.I. Jones. (2007). The Value of Life and the Rise in Health Spending. The Quarterly Journal of Economics, 122 (1), 39-72. https://doi.org/10.1162/qjec.122.1.39
  29. He,H., K.X.D. Huang and L. Ning. (2019). Why Do Americans Spend So Much More on Health Care than Europeans?. Vanderbilt University Department of Economics Working Papers.
  30. Heaton, J. and D. Lucas. (1996). Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing. Journal of Political Economy, 104(3), 443-487. https://doi.org/10.1086/262030
  31. Heaton, J. and D. Lucas. (2000). Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk. The Journal of Finance, 55 (3), 1163-1198. https://doi.org/10.1111/0022-1082.00244
  32. Hosseini, R., K. A. Kopecky and K. Zhao. (2019). The Evolution of Health over the Life Cycle. Working paper.
  33. Hosseini, R., K.A. Kopecky and K. Zhao. (2020). How Important is Health Inequality for Lifetime Earnings Inequality?. Working paper.
  34. Huang, W. (2022). Digesting Three-factor Model. The Singapore Economic Review, 1-30. https://doi.org/10.1142/S0217590822480022
  35. Huggett, M. and G. Kaplan. (2016). The Money Value of a Man. Working paper.
  36. Inkmann, J., Lopes, P., and Michaelides, A. (2011). How deep is the annuity market participation puzzle?. The Review of Financial Studies, 24(1), 279-319.
  37. Jayachandran, S. and A. Lleras-Muney. (2009). Life Expectancy and Human Capital Investments: Evidence from Maternal Mortality Declines. The Quarterly Journal of Economics, 124(1), 349-397. https://doi.org/10.2307/40506231
  38. Kaushik, S., Choudhury, A., Natarajan, S., Pickett, L. A., and Dutt, V. (2020). Medicine expenditure prediction via a variance-based generative adversarial network. IEEE Access, 8, 110947-110958. https://doi.org/10.1109/ACCESS.2020.3002346
  39. Khwaja, A. (2010). Estimating willingness to pay for medicare using a dynamic life-cycle model of demand for health insurance. Journal of Econometrics, 156(1), 130-147. https://doi.org/10.1016/j.jeconom.2009.09.011
  40. Kimball, Miles S. (1990). Precautionary Saving in the Small and in the Large. Econometrica, 58(1), 53-73. https://doi.org/10.2307/2938334
  41. Koijen, R.S.J., S. Van Nieuwerburgh, and M. Yogo. (2016). Health and mortality delta: assessing the welfare cost of household insurance choice. The Journal of Finance, 71 (2), 957-1010. https://doi.org/10.1111/jofi.12273
  42. Kopecky, K. A. and T, Koreshkova. (2014). The impact of Medical and Nursing Home Expenses on Savings. American economic journal: Macroeconomics, 6 (3), 29-72. https://doi.org/10.1257/mac.6.3.29
  43. Lockwood, L. M. (2018). Incidental Bequests and the Choice to Self-Insure Late-Life Risks. American Economic Review, 108(9), 2513-50. https://doi.org/10.1257/aer.20141651
  44. Lundberg, S. M., Erion, G., Chen, H., DeGrave, A., Prutkin, J. M., Nair, B., ... and Lee, S. (2020). From local explanations to global understanding with explainable AI for trees. Nature Machine Intelligence, 2(1), 56-67. https://doi.org/10.1038/s42256-019-0138-9
  45. Michaud, A and D. Wiczer. (2017). The Disability Option: Labor Market Dynamics with Macroeconomic and Health Risks. Department of Economics Working Papers 18-12, Stony Brook University, Department of Economics.
  46. Mushkin, Selma J. (1962). Health as an Investment. Journal of Political Economy, 70, 129. https://doi.org/10.1086/258730
  47. Nagarjuna, M., Pasula, P., Kavyakeerthi, T., and Karthik, I. (2022). Medicine Expenditure Prediction using Machine Learning, In 2022 6th International Conference on Computing Methodologies and Communication (ICCMC) pp. 948-952, IEEE. https://doi.org/10.1109/ICCMC53470.2022.9753780
  48. Nakajima, M. and I.A. Telyukova. (2018). Medical Expenses and Saving in Retirement: The Case of U.S. and Sweden. Institute Working Paper 8.
  49. Nakajima, M. and D. Tu¨zemen. (2017). Health Care Reform or Labor Market Reform? A Quantitative Analysis of the Affordable Care Act. Working paper.
  50. Oster, E., I. Shoulson and E. R. Dorsey. (2013). Limited Life Expectancy, Human Capital and Health Investments. The American Economic Review, 103(5), 1977-2002. https://doi.org/10.1257/aer.103.5.1977
  51. Ozkan, S. (2017). Preventive vs Curative Medicine: A Macroeconomic Analysis of Health Care. Working paper.
  52. Pang, G.and M. Warshawsky. (2010). Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses. Insurance, Mathematics & Economics, 46 (1), 198-209. https://doi.org/10.1016/j.insmatheco.2009.08.009
  53. Papageorge, N. W. (2016). Why medical innovation is valuable: Health, human capital, and the labor market. Quantitative Economics, 7(3), 671-725. https://doi.org/10.3982/QE459
  54. Paravisini, D., V. Rappoport, and E. Ravina. (2017). Risk Aversion and Wealth: Evidence from Person-to-Person Lending Portfolios. Management Science, 63 (2), 279-297. https://doi.org/10.1287/mnsc.2015.2317
  55. Prados, M.J. (2012) Health and earnings inequality over the life cycle and the redistributive potential of health policies. Working paper.
  56. Qin, F. Y., Lv, Z. Q., Wang, D. N., Hu, B., and Wu, C. (2020). Health status prediction for the elderly based on machine learning. Archives of Gerontology and Geriatrics, 90, 104121. https://doi.org/10.1016/j.archger.2020.104121
  57. Rosen, H.S. and S. Wu. (2004). Portfolio choice and health status. Journal of Financial Economics, 72 (3), 457-484. https://doi.org/10.1016/S0304-405X(03)00178-8
  58. Shapley, L. S. (1997). A value for n-person games. Classics in Game Theory, 69.
  59. Tarekegn, A., Ricceri, F., Costa, G., Ferracin, E., and Giacobini, M. (2020). Predictive modeling for frailty conditions in elderly people: machine learning approaches. JMIR Med ical Informatics, 8(6), e16678. https://doi.org/10.2196/16678
  60. Wachter, J.A. and M. Yogo. (2010). Why do household portfolio shares rise in wealth?. The Review of Financial Studies, 23 (11), 3929-3965. https://doi.org/10.1093/rfs/hhq092
  61. White, M.N. (2018). Optimal Health Investment: An Ounce of Prevention at Half Price?. Working paper.
  62. Yao, R. and H. H. Zhang. (2005). Optimal consumption and portfolio choices with risky housing and borrowing constraints. The Review of Financial Studies, 18 (1),197-239. https://doi.org/10.1093/rfs/hhh007
  63. Yogo, M. (2016). Portfolio choice in retirement: Health risk and the demand for annuities, housing, and risky assets. Journal of Monetary Economics, 80, 17-34. https://doi.org/10.1016/j.jmoneco.2016.04.008