Rangkiang Mathematics Journal
Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal

Life Insurance Premium Calculation Using Markov Chain for Hypertension Patients in Indonesia

Mutiya, Fenni Kurnia (Unknown)
Sepyanda, Marsika (Unknown)



Article Info

Publish Date
30 Apr 2026

Abstract

Long-term care insurance provides death benefits if the insured dies and benefits for medical care costs during the coverage term. One of the products of this insurance is the Annuity Rider, as the Benefit can be modelled with a multi-state model. This paper discusses the calculation of annual premiums with Annuity riders as a Benefit product using a multi-state model for hypertension patients in Indonesia.  The premium calculation also utilised Markov Chain transition probabilities. The data used in the Report Survey Kesehatan Indonesia in 2023. The case study was conducted on a 40-year-old male in good health, with LTC insurance coverage for 5 years. It was known that the compensation amount for someone who died was IDR 200,000,000, and the interest rate was 7%. By calculating premiums using the multi-state model, the results yielded an annual premium of IDR 6,486,998. The result of this premium calculation is that the older someone is when they take out insurance, the greater the annual net premium they must pay.

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Journal Info

Abbrev

RMJ

Publisher

Subject

Mathematics Other

Description

Rangkiang Mathematics Journal (RMJ) is a prestigious vision journal which focuses on publishing research, and advance literature study in mathematics and mathematics education. The scope of this journal includes: mathematics teacher profesionalisme, Realistic Mathematics Education, ...