Dampak Perubahan Index Inflasi pada Perhitungan Premi Excess-of-Loss Menggunakan Metode Burning Cost

Fanny Novika; Yusuf Hidayat Kalla; Elvira Yuliana

doi:10.34312/jjom.v4i2.14208

Dampak Perubahan Index Inflasi pada Perhitungan Premi Excess-of-Loss Menggunakan Metode Burning Cost

Fanny Novika, Yusuf Hidayat Kalla, Elvira Yuliana

Abstract

Based on OJK data on insurance statistical documents in 2020 and 2021, the adequacy of reinsurance company premiums continued to decline throughout the year until the year 2020 a slight excess of 164.60% and 183,31% at the end of 2021. Analysis of proper premium calculation needs to be done as an effort to prevent the default from insurance companies, one of which is fire insurance with Burning Cost. The purpose of this study is to determine the impact of the inflation index that can make changes to the calculation of premiums using Burning Cost. This study uses secondary data on the value of fire insurance claims at reinsurance companies by observing historical reports of claim data from the previous year. The use of the inflation index in calculating the Excess-of-Loss premium using the Burning Cost method has a different value if it is not assumed. The more inflation index used, the higher the premium that will be charged to the ceding company.

Keywords

Burning Cost; Excess-of-Loss; Inflation; Premium; Fire Insurance

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References

J. D. Cummins, G. Dionne, R. Gagne, and A. Nouira, “The costs and benefits of reinsurance,” The Geneva Papers on Risk and Insurance - Issues and Practice, vol. 46, no. 2, pp. 177–199, apr 2021, doi: http://dx.doi.org/10.1057/s41288-021-00216-8.

A. Gu, F. G. Viens, and Y. Shen, “Optimal excess-of-loss reinsurance contract with ambiguity aversion in the principal-agent model,” Scandinavian Actuarial Journal, vol. 2020, no. 4, pp. 342–375, apr 2020, doi: http://dx.doi.org/10.1080/03461238.2019.1669218.

OJK (Otoritas Jasa Keuangan), “Statistik Asuransi Desember 2021,” 2022, [Online] Available: https://www.ojk.go.id/id/kanal/iknb/data-dan-statistik/asuransi/Pages/Statistik-Asuransi-Desember-2021.aspx.

F. Bilbiie, T. Monacelli, and R. Perotti, “Fiscal Policy in Europe: Controversies over Rules, Mutual Insurance, and Centralization,” Journal of Economic Perspectives, vol. 35, no. 2, pp. 77–100, may 2021, doi: http://dx.doi.org/10.1257/jep.35.2.77.

F. Kusnadi, B. Yong, and F. J. Permana, “Metode Excess-of-Loss Menggunakan Bayesian untuk Memodelkan Tingkat Keparahan Klaim,” MAJAMATH: Jurnal Matematika dan Pendidikan Matematika, vol. 3, no. 2, pp. 120–129, sep 2020, doi: http://dx.doi.org/10.36815/majamath.v3i2.745.

F. Novika, K. Maulidi, B. Marsanto, and A. N. Amalina, “Comparasion Model Analysis Time of Earthquake Occurrence in Indonesia based on Hazard Rate with Single Decrement Method,” Jurnal Teori dan Aplikasi Matematika, vol. 6, no. 1, pp. 163–176, 2022, doi: https://doi.org/10.31764/jtam.v6i1.5535.

BPS (Bapan Pusat Statistik), “Banyaknya Desa/Kelurahan Menurut Jenis Bencana Alam dalam Tiga Tahun Terakhir (Desa) 2021,” 2022 [Online] Available: https://www.bps.go.id/indicator/168/954/1/banyaknya-desa-kelurahan-menurut-jenis-bencana-alam-dalam-tiga-tahun-terakhir.html.

BPS (Bapan Pusat Statistik), “Jumlah Peristiwa Kebakaran Menurut Benda yang Terbakar dan Kota Administrasi di Provinsi DKI Jakarta 2018-2020,” 2021, [Online] Available: https://jakarta.bps.go.id/indicator/27/627/1/jumlah-peristiwa-kebakaran-menurut-benda-yang-terbakar-dan-kota-administrasi-din-provinsi-dki-jakarta.html.

D. Li, X. Rong, Y. Wang, and H. Zhao, “Equilibrium excess-of-loss reinsurance and investment strategies for an insurer and a reinsurer,” Communications in Statistics - Theory and Methods, pp. 1–32, feb 2021, doi: http://dx.doi.org/10.1080/03610926.2021.1873379.

S. Khare and K. Roy, “Quantifying the Role of Occurrence Losses in Catastrophe Excess of Loss Reinsurance Pricing,” Risks, vol. 9, no. 3, p. 52, mar 2021, doi: http://dx.doi.org/10.3390/risks9030052.

J. Saputra, T. Fauzia, S. Sukono, and R. Riaman, “Estimation of Reinsurance Risk Value Using the Excess of Loss Method,” International Journal of Business, Economics, and Social Development, vol. 1, no. 1, pp. 31–39, jun 2020, doi: http://dx.doi.org/10.46336/ijbesd.v1i1.16.

N. Kazi-Tani, “Indifference pricing of reinsurance with reinstatements using coherent monetary criteria,” European Actuarial Journal, vol. 11, no. 1, pp. 161–183, jun 2021, doi: http://dx.doi.org/10.1007/s13385-020-00257-8.

P. Parodi, Pricing in General Insurance, 1st ed. Boca Raton, Florida: CRC Press, 2015.

A. Stollinova, “Price of Non-proportional Reinsurance based on Experience Rating,” Cesky financnı a ucetnı casopis, vol. 2017, no. 2, pp. 5–22, feb 2018, doi: http://dx.doi.org/10.18267/j.cfuc.494.

D. Dimitriou and T. Poufinas, “Cost of Road Accident Fatalities to the Economy,” International Advances in Economic Research, vol. 22, no. 4, pp. 433–445, nov 2016, doi: http://dx.doi.org/10.1007/s11294-016-9601-0.

S. Triana, M. Novita, and S. F. Sari, “The Benktander claim reserving method, combining chain ladder method and Bornhuetter-Ferguson method using optimal credibility,” Journal of Physics: Conference Series, vol. 1725, no. 1, p. 012087, jan 2021, doi: http://dx.doi.org/10.1088/1742-6596/1725/1/012087.

P. Born and D. Bujakowski, “Economic transition and insurance market development: evidence from post-communist European countries,” The Geneva Risk and Insurance Review, vol. 47, no. 1, pp. 201–237, mar 2022, doi: http://dx.doi.org/10.1057/s10713-021-00066-3.

R. Widiasih, R. D. Susanti, C. W. M. Sari, and S. Hendrawati, “Menyusun Protokol Penelitian dengan Pendekatan SETPRO: Scoping Review,” Journal of Nursing Care, vol. 3, no. 3, pp. 171–180, 2020, doi : https://doi.org/10.24198/jnc.v3i3.28831.

BPS (Bapan Pusat Statistik), “Indeks Harga Konsumen dan Inflasi Bulanan Indonesia,” 2022, [Online] Available: https://www.bps.go.id/statictable/2009/06/15/907/indeks-harga-konsumen-dan-inflasi-bulanan-indonesia-2006-2020.html.

M. Anshori and S. Iswati, Metodologi penelitian kuantitatif, 1st ed. Surabaya: Airlangga University Press, 2017.

B. B. Lerman, R. B. Devereux, and P. M. Okin, “An Introduction to Reinsurance,” Journal of the American College of Cardiology, vol. 45, no. 11, pp. B2–B3, jun 2005, doi: https://doi.org/10.1016/j.jacc.2005.05.004.

K. Riley, The Nuts and Bolts of Reinsurance, ser. Lloyd’s list practical guides. LLP, 1997, [Online] Available: https://books.google.co.id/books?id=J36JQgAACAAJ.

S. Kebede Menza, “Empirical Analysis of Long-run and Short-run Dynamic Effects of Deposit Rate, Inflation Rate and GDP on Bank Deposit: Vector Error Correction Model Approach,” International Journal of Theoretical and Applied Mathematics, vol. 5, no. 6, pp. 83–93,2019, doi: http://dx.doi.org/10.11648/j.ijtam.20190506.12.

DOI: https://doi.org/10.34312/jjom.v4i2.14208