AccScience Publishing / IJPS / Online First / DOI: 10.36922/ijps.5071
RESEARCH ARTICLE

Modeling longevity and chronic illness risks in retirement annuity pricing for older Malaysians

Nurin Haniah Asmuni1* Muhammad Hanif Adnan1 Muhammad Khairil Ajwad Mohammad Zamri1 Nur Aqilah Syahzani Saharuddin1 Zulaikha Burosekhan1 Danang Teguh Qoyyimi2
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1 School of Mathematical Sciences, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia
2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, Indonesia
Received: 7 October 2024 | Revised: 22 September 2025 | Accepted: 11 October 2025 | Published online: 3 November 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

As Malaysia’s population ages, understanding the financial implications of longevity risk and chronic illnesses among the older population is increasingly important. This study investigates how longevity risk interacts with selected chronic illnesses among older Malaysians using a multiple-state annuity model. First, the study explored the mortality and morbidity risks of selected chronic illnesses affecting older Malaysians. This research employed actuarial modeling techniques, including the Markov chain model, the Lee–Carter model, and the age-period-cohort (APC) model. The Markov chain model estimated the likelihood of health transitions, while the Lee–Carter model and the APC model were employed to project mortality and morbidity rates. These models offer a comprehensive framework to assess the longevity risk and financial pressures associated with managing chronic illnesses in aging populations. Second, the projected rates were utilized in the retirement annuity pricing models. There were two multiple-state annuity pricing models considered, one with only healthy and dead states, and the other included chronic illness states. Overall, increased longevity resulting from ongoing improvements in mortality will raise the cost of annuities for a predetermined annuity payment at the compulsory retirement age. By contrast, the inclusion of chronic illness risk in annuity pricing reduces the cost of an annuity for retirees. Hence, the risks of longevity and chronic illness will be taken into account to fairly price retirement-linked products such as annuities.

Keywords
Longevity risk
Chronic illness
Aging population
Retirement annuities
Funding
The study was funded by the Strategic Research Partnership Grant between Universiti Teknologi MARA, Malaysia, and the Universitas Gadjah Mada, Yogyakarta, Indonesia (100-TNCPI/INT 16/6/2 [031/2024]).
Conflict of interest
The authors declare that they have no competing interests.
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