Adequacy of inflation-indexed life annuity: A case of defined contribution pension plan in Malaysia

Authors

  • Zarul Khaliff Kamal Universiti Utara Malaysia, Malaysia
  • Noriszura Ismail Universiti Kebangsaan Malaysia, Malaysia

DOI:

https://doi.org/10.32890/jcia2025.4.1.2

Keywords:

defined contribution, deferred life annuity, Euler-Lagrange, retirement income, retirement adequacy

Abstract

Defined Contribution (DC) pension plans in some Asian countries are currently operated by the lump-sum withdrawal scheme, which allows retirees to withdraw all accrued savings in a single withdrawal. This type of withdrawal does not protect pensioners from the longevity risk. This study examines the adequacy of an alternative for the lump-sum withdrawal system, namely the withdrawal system based on the Inflation-Indexed Life Annuity (IILA). This study proposes two types of IILA: the immediate IILA and the deferred IILA. The adequacy of a life annuity is measured using the ratio of projected wealth to the projected consumption at the retirement age. For the deferred IILA, this study uses the Euler-Lagrange method to assess the optimal amount that will be set aside to finance the annuity scheme. The IILA and deferred IILA will protect retirees from purchasing under-valued annuities by adjusting the IILA to inflation risk. Furthermore, deferred IILA may improve the life quality of retirees by providing adequate retirement income during the deferment years. Analysis of data from the Household Income and Expenditure Survey (HEIS, 2014) indicates that the immediate IILA offers an average lifetime income of over 50%, while the deferred IILA provides more than 40%.

References

Alaudin, R. I., Ismail, N., & Isa, Z. (2016). Projection of retirement adequacy using wealth-need ratio: Optimistic and pessimistic scenarios. International Journal of Social Science and Humanity, 6(5), 332–335. https://doi.org/10.7763/IJSSH.2016.V6.667

Asmuni, N. H., & Purcal, T. (2018). On the study of Malaysia’s private annuity. Journal of Quality Measurement and Analysis, 14(1), 9–22. [No DOI assigned in the authoritative publication record.]

Bateman, H., Eckert, C., Iskhakov, F., Louviere, J., Satchell, S., & Thorp, S. (2017). Default and naive diversification heuristics in annuity choice. Australian Journal of Management, 42(1), 32–57. https://doi.org/10.1177/0312896215617225

Bravo, J. M., & El Mekkaoui de Freitas, N. (2018). Valuation of longevity-linked life annuities. Insurance: Mathematics and Economics, 78, 212–229. https://doi.org/10.1016/j.insmatheco.2017.09.009

Denuit, M., & Trufin, J. (2016). From regulatory life tables to stochastic mortality projections: The exponential decline model. Insurance: Mathematics and Economics, 71, 295–303. https://doi.org/10.1016/j.insmatheco.2016.09.015

Emms, P., & Haberman, S. (2008). Income drawdown schemes for a defined-contribution pension plan. Journal of Risk and Insurance, 75(3), 739–761. https://doi.org/10.1111/j.1539-6975.2008.00282.x

Gupta, A., & Li, Z. (2007). Integrating optimal annuity planning with consumption–investment selections in retirement planning. Insurance: Mathematics and Economics, 41(1), 96–110. https://doi.org/10.1016/j.insmatheco.2006.10.011

Huang, H., Milevsky, M. A., & Wang, J. (2004). Ruined moments in your life: How good are the approximations? Insurance: Mathematics and Economics, 34(3), 421–447. https://doi.org/10.1016/j.insmatheco.2004.03.006

Kamal, Z. K., & Ismail, N. (2025). Adequacy of inflation-indexed life annuity: A case of defined contribution pension plan in Malaysia. Journal of Computational Innovation and Analytics, 4(1), 22–38. https://doi.org/10.32890/jcia2025.4.1.2

Lazar, D. (2007). A note on pricing inflation-indexed life annuities. Acta Oeconomica, 57(4), 363–376. https://doi.org/10.1556/AOecon.57.2007.4.3

Maurer, R., Mitchell, O. S., Rogalla, R., & Siegelin, I. (2016). Accounting and actuarial smoothing of retirement payouts in participating life annuities. Insurance: Mathematics and Economics, 71, 268–283. https://doi.org/10.1016/j.insmatheco.2016.09.007

Oliveira, L., Nunes, J. P. V., & Malcato, L. (2014). The performance of deterministic and stochastic interest rate risk measures: Another question of dimensions? Portuguese Economic Journal, 13(3), 141–165. https://doi.org/10.1007/s10258-014-0104-8

Peijnenburg, K., Nijman, T., & Werker, B. J. M. (2016). The annuity puzzle remains a puzzle. Journal of Economic Dynamics and Control, 70, 18–35. https://doi.org/10.1016/j.jedc.2016.05.023

Shen, Y., & Sherris, M. (2018). Lifetime asset allocation with idiosyncratic and systematic mortality risks. Scandinavian Actuarial Journal, 2018(4), 294–327. https://doi.org/10.1080/03461238.2017.1343749

Wang, T., & Young, V. R. (2012). Maximizing the utility of consumption with commutable life annuities. Insurance: Mathematics and Economics, 51(2), 352–369. https://doi.org/10.1016/j.insmatheco.2012.06.002

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Published

30-01-2025

How to Cite

Kamal, Z. K., & Ismail, N. (2025). Adequacy of inflation-indexed life annuity: A case of defined contribution pension plan in Malaysia. Journal of Computational Innovation and Analytics (JCIA), 4(1), 22-38. https://doi.org/10.32890/jcia2025.4.1.2

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Harvested 2026-09-06
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Identifiers DOI 10.32890/jcia2025.4.1.2 OpenAlex W4407797926 Semantic Scholar CorpusID 276527807