Premium Calculations with Long Term Care Insurance using Markov Chain Method for Human Immunodeficiency Virus Inpatients

Abstract

 Indonesia has a high prevalence of HIV, which is inversely proportional to its insurance product propolis. Life insurance offers economic protection by providing payment upon the death of the policyholder. Long Term Care (LTC) insurance, a type of health insurance, guarantees care and health insurance for the elderly. This study calculates LTC insurance premiums with annuities as rider benefits using a multi-status model that includes health status, HIV, and death. Using Markov Chain modeling and data from Malang city in 2022, we determine the premium based on transition probabilities. This case study involves a 20-year-old man with 5 years of LTC coverage, a benefit value of IDR100,000,000, and an interest rate of 5%. The premium varies by age and gender: at age 20, male pay Rp 2,719,241 and female Rp 2,701,893, at age 21, male pay Rp. 5,762,095 and female pay Rp.5,746,178. At age 22, male pay at Rp. 6,203,680 and females pay Rp.6,189,454 while at age 23, male pay Rp. 6,640,674 and females pay 6,628,146. And male at 24, pay Rp. 7,066,949 while females pay Rp. 7,012,138 and at age 25, male pay Rp 7,068,616 and females Rp 7,029,781. The results of this calculation show that the more age increases, the greater the net premium and also the male net premium is greater than the female net premium