Modeling Adequacy Ratio in Life Insurance Using Markov Switching Approach
DOI:
https://doi.org/10.32665/statkom.v5i1.6459Keywords:
Life Insurance, Markov Switching Model, Nonlinear, Regime, Time SeriesAbstract
Background: The life insurance sector often experiences nonlinear fluctuations during macroeconomic shocks and disasters. To capture these dynamics, nonlinear methods such as the Markov switching model are appropriate.
Objective: This study examines the effects of premium adequacy and investment returns on the claim payment ratio in Indonesia’s life insurance sector using a Markov switching approach.
Methods: This study analyzed 115 monthly observations of premium adequacy, investment returns, and claim payment ratios from January 2016 to July 2025, obtained from the Otoritas Jasa Keuangan (OJK). Three Markov switching models (MSM, MSV, and MSMV) were compared to identify the dominant source of regime-switching behavior. The two-regime Markov switching variance model was selected based on convergence and the lowest Akaike Information Criterion (AIC).
Results: The optimal model identified a volatile regime and a stable regime. The volatile regime had a 75.87% persistence probability with an average duration of four months, whereas the stable regime showed a 90.52% persistence probability and an average duration of 10.5 months. The probability of transitioning from volatility to stability (24.13%) exceeded the probability of shifting from stability to volatility (9.48%).
Conclusion: Indonesia’s conventional life insurance sector demonstrates resilience by maintaining stable conditions and recovering from periods of volatility.
References
Asosiasi Asuransi Jiwa Indonesia. (2020). Laporan kinerja industri asuransi jiwa, kuartal I tahun 2020: Ditengah perekonomian dan industri yang melambat, industri tetap membayar klaim yang meningkat sebagai komitmen kepada nasabah [Siaran pers]. https://aaji.or.id/file/uploads/content/file/Siaran%20Pers%20AAJI%20-%20Kinerja%20Kuartal%20I%202020%20-%20FINAL.pdf
Blazheska, A., & Ivanovski, I. (2021). Determinants of the market choice and the consumers behavior on the Macedonian MTPL insurance market: Empirical application of the Markov chain model. Risk Management and Insurance Review, 24(3), 311–331. https://doi.org/10.1111/rmir.12192
Degras, D., Ting, C., & Ombao, H. (2022). Markov-switching state-space models with applications to neuroimaging. Computational Statistics & Data Analysis, 174, 107525. https://doi.org/10.1016/j.csda.2022.107525
Fowler, C., Cai, X., Baker, J. T., Onnela, J., & Valeri, L. (2024). Testing unit root non-stationarity in the presence of missing data in univariate time series of mobile health studies. Journal of the Royal Statistical Society Series C (Applied Statistics), 73(3), 755–773. https://doi.org/10.1093/jrsssc/qlae010
Gong, H. (2019). Oracally efficient estimation and testing for an ARCH model with trend. Communication in Statistics- Theory and Methods, 50(14), 3384–3402. https://doi.org/10.1080/03610926.2019.1702696
Hernández, J. a. C., Benavides, D. R., & Dieguez, R. Y. C. (2025). Ingeniería Financiera y Portafolios Óptimos con Cambio de Régimen. Revista Mexicana De Economía Y Finanzas, 20(4), 1–18. https://doi.org/10.21919/remef.v20i4.1419
Hamilton, J. D. (1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57(2), 357. https://doi.org/10.2307/1912559
Hwu, S., & Kim, C. (2023). Markov-Switching Models with Unknown Error Distributions: Identification and Inference Within the Bayesian Framework. Studies in Nonlinear Dynamics and Econometrics, 28(2), 177–199. https://doi.org/10.1515/snde-2022-0055
Lestari, P. A. I. (2022). Simulasi Monte Carlo Untuk Prediksi Jumlah Klaim Asuransi Di BPJS Ketenagakerjaan Cabang Bojonegoro. Jurnal Statistika Dan Komputasi, 1(2), 93–100. https://doi.org/10.32665/statkom.v1i2.1265
Li, C., & Liu, Y. (2022). Asymptotic properties of the maximum likelihood estimator in regime-switching models with time-varying transition probabilities. Econometrics Journal, 26(1), 67–87. https://doi.org/10.1093/ectj/utac022
Otoritas Jasa Keuangan. (2020). Laporan profil industri perbankan triwulan I-2020. https://www.ojk.go.id/id/kanal/perbankan/data-dan-statistik/laporan-profil-industri-perbankan/Documents/LPIP%20TW%20I%202020.pdf
Otoritas Jasa Keuangan. (2020). The influence of liberalization on inovation, performance, and competition level of insurance in Inodnesia (Working Paper No. 20/03). Jakarta: Otoritas Jasa Keuangan. https://ojk.go.id/id/data-dan-statistik/research/working-paper/Documents/WP-20.03.pdf
Ozdemir, D. (2020). Interest rate volatility regimes in selected Asian countries: A univariate Markov switching analysis. Frontiers of Economics in China, 15(1), 56–69. https://ideas.repec.org/a/fec/journl/v15y2020i1p56-69.html
Park, J., & Shin, M. (2022). An approach for variable selection and prediction model for estimating the Risk-Based capital (RBC) based on machine learning algorithms. Risks, 10(1), 13. https://doi.org/10.3390/risks10010013
Putri, A. M. H. (2023, January 31). Bukti Asuransi Bantu Nasabah: Jumlah Klaim Melesat. CNBC Indonesia. https://www.cnbcindonesia.com/research/20230131111848-128-409608/bukti-asuransi-bantu-nasabah-jumlah-klaim-melesat
Surya, H. A., Sukono, Napitupulu, H., & Ismail, N. (2025). Nonstationary transition Poisson-Lindley Hidden Markov model for community-based disaster insurance claim. AIMS Mathematics, 10(10), 23411–23428. https://doi.org/10.3934/math.20251040
Tsay, R. S. (1986). Nonlinearity tests fot time series. Biometrika, 73(2), 461-466. https://sci-hub.red/10.1093/biomet/73.2.461
Ulyah, S. M., Rifada, M., Ana, E., Andreas, C., Rahmayanti, I. A., & Apsariny, S. N. (2022). Forecasting premium adequacy to claim paid ratio in life insurance industry with COVID-19 effect using multilayer perceptron neural network. AIP Conference Proceedings, 2668, 070014. https://doi.org/10.1063/5.0111946
Ulyah, S. M., Rifada, M., Ana, E., Andreas, C., Rahmayanti, I. A., Apsariny, S. N., & Fitriyani, N. L. (2026). Utilizing support vector regression to forecast premium adequacy in Indonesia’s insurance sector. AIP Conference Proceedings, 3326, 050002. https://doi.org/10.1063/5.0308908
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