Financial mathematics of pension funds using entry age normal and projected unit credit methods

Maysarah Maysarah, Ismail Husein

Abstract


ASN is an abbreviation for State Civil Apparatus. ASN is a term for professions that work under the auspices of government agencies at both the central and regional levels. This regulation of rights and obligations is a form of state intervention in the regulation of ASN. In implementing the AAUPB (general principles of good government) ASN Law, it was found that there were differences in the rights and obligations of PNS and PPPK. According to Article 21 of the ASN Law, civil servants have the right to receive salaries, allowances, holidays, old age security, protection, and increased qualifications. Meanwhile, according to Article 22, PPPK has the right to receive salary allowances, holidays, protection, and competency development. A very significant difference in the rights that PPPK does not receive is pension and old-age security. Based on this law, this research aims to provide a general overview of the pension calculations that will be received by PPPK using the EAN and PUC methods, so that of these two methods, which method is better for the number of normal contributions and actuarial obligations for participants and agencies between EAN and PU? Based on the calculation results, the method PUC (Project Unit Credit) is more suitable to use because there is no significant difference between normal contributions and actuarial obligations, so it can be profitable for both parties.


Keywords


Actuarial; Entry Age Normal; Financial Mathematics; Pension Funds; Projected Unit Credit.

Full Text:

PDF

References


Abdullah, T., & Wahjusaputri, S. (2018). Bank & lembaga keuangan (2nd ed.). Jakarta: Mitra Wacana Media.

Andani, T., & Ramdani, Y. (2023). Perbandingan metode attained age normal dan projected unit credit dalam pendanaan pensiun. Jurnal Riset Matematika, 111–120. https://doi.org/10.29313/jrm.v3i2.2830

Andriananda, S. R., & Maulana, D. A. (2023). Kajian metode entry age normal dan projected unit credit untuk menghitung kewajiban aktuaria pegawai pemerintah dengan perjanjian kerja. MATHunesa: Jurnal Ilmiah Matematika, 11(3), 443–457. https://doi.org/10.26740/mathunesa.v11n3.p443-457

Aprijon. (2021). Perhitungan pensiun normal pada dana pensiun menggunakan projected unit credit. Jurnal Sains, Teknologi Dan Industri, 18(1), 80. https://doi.org/10.24014/sitekin.v18i1.11070

Arisca, O., Suhaidar, & Wenni Anggita. (2023). Analisis sistem dan prosedur pengadaan kas dan pembayaran dana pensiun pada pt taspen (persero) pangkalpinang. JEMSI (Jurnal Ekonomi, Manajemen, Dan Akuntansi), 9(3), 877–883. https://doi.org/10.35870/jemsi.v9i3.1197

BPJS Kesehatan. (2023). Tabel Mortalitas dan Morbiditas Penduduk Indonesia (Vol. 1). BPJS Kesehatan.

Daulay, S. N. R., Hidayana, R. A., & Halim, N. A. (2022). Pension fund calculation using traditional and projected unit credit methods for total actuarial liability and normal cost cases. Operations Research: International Conference Series, 3(4), 132–135. https://doi.org/10.47194/orics.v3i4.195

Delianti, J., & Rohaeni, O. (2022). Model perhitungan pendanaan program pensiun manfaat pasti menggunakan metode projected unit credit. Jurnal Riset Matematika, 83–92. https://doi.org/10.29313/jrm.v2i2.1162

Dian, D. F. S., Ashadi, A. A., & M, S. (2024). Aplikasi metode entry age normal dan projected unit credit untuk asumsi tingkat kenaikan gaji dalam menentukan manfaat pensiun. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 7(1), 151–160. https://doi.org/10.30605/proximal.v7i1.3383

Fridayanti, F. (2016). Perhitungan biaya normal program pensiun usia normal dengan metode entry age normal (percent dollar). Jurnal Vokasi Indonesia, 2(1). https://doi.org/10.7454/jvi.v2i1.18

Hutabalian, S. V., Widana, I. N., & Harini, L. P. I. (2021). Penggunaan metode projected unit credit dan aggregate cost pada asuransi pensiun normal. E-Jurnal Matematika, 10(4), 209. https://doi.org/10.24843/MTK.2021.v10.i04.p344

Izzati, M. D., & Kartikasari, M. D. (2022). Implementasi metode perhitungan aktuaria program dana pensiun menggunakan flask. Jambura Journal of Mathematics, 4(2), 247–264. https://doi.org/10.34312/jjom.v4i2.12954

Julianty, D. T., Listiani, A., & Manurung, C. C. (2023). Pension fund calculation using projected unit credit, entry age normal, and attained age normal method (case study : Pt. taspen (persero) cabang pematang siantar 2022). International Journal of Scientific Research in Science, Engineering and Technology, 11(2), 83–91. https://doi.org/10.32628/IJSRSET241133

Mahrani, D., & Pangestu, I. wayan D. (2023). Analisis Besar Iuran Normal Metode Frozen Initial Liability dan Metode Entry Age Normal Menggunakan Tingkat Suku Bunga Cox-Ingersoll-Ross (CIR). Indonesian Journal of Applied Mathematics, 3(2), 29–39. https://doi.org/10.35472/indojam.v3i2.1576

Miranda, D., & Arnellis, A. (2022). Penggunaan metode attained age normal dan projected unit credit pada perhitungan pembiayaan dana pensiun (studi kasus: Perumda tirta sakti kerinci). Journal of Mathematics UNP, 7(4), 94. https://doi.org/10.24036/unpjomath.v7i4.13669

Muchlian, M., Arsita, S., & Yuni, T. M. (2024). Perhitungan dana pensiun menggunakan metode traditional unit credit pada tingkat suku bunga konstan. AKTUARIA: Jurnal Matematika Terapan, Statistika, Ekonomi Dan Manajemen Risiko, 3(1), 15–20.

Nasir, M. (2016). Buku 6 program pensiun. OJK.

Novi, Gubu, L., Aswani, Somayasa, W., Jufra, & Alfian. (2024). Perbandingan metode attained age normal dan projected unit credit untuk menghitung premi dana pensiun berdasarkan tabel mortalitas. Jurnal Matematika, Komputasi, Dan Statistika, 4(1), 586–595.

Novika, F., Addini, F. F., & Kusdani, D. (2023). Implementation of the labor laws in indonesia for formulation of pension reserves. International Journal of Science and Society, 5(3), 396–407. https://doi.org/10.54783/ijsoc.v5i3.759

Peraturan Pemerintah RI. (2024). Peraturan pemerintah (pp) nomor 10 tahun 2024 tentang penetapan pensiun pokok purnawirawan, warakawuri/duda, tunjangan anak yatim/piatu, anak yatim piatu, dan tunjangan orang tua anggota kepolisian negara republik indonesia .

Peraturan Presiden RI. (2024). Peraturan presiden republik indonesia nomor 11 tahun 2024 tentang perubahan atas peraturan presiden nomor 98 tahun 2020 tentang gaji dan tunjangan pegawai pemerintah dengan perjanjian kerja.

Putri S.R., A. A., Susanti, D., & Riaman. (2024). Comparison of projected unit credit, entry age normal, and individual level premium methods in calculation of normal retirement on pns pension funds. International Journal of Quantitative Research and Modeling, 5(2), 184–191.

Rembet, K. O. P., Salsabila, N. I., Talarima, G. I., & Unwaru, D. F. (2023). Perbandingan metode projected unit credit dan individual level premium dalam pembiayaan dana pensiun. VARIANCE: Journal of Statistics and Its Applications, 5(1), 99–108. https://doi.org/10.30598/variancevol5iss1page99-108

Riaman, R. (2018). Perubahan asumsi aktuaria pada estimasi premi program pensiun manfaat pasti. Euclid, 5(2), 76. https://doi.org/10.33603/e.v5i2.1151

Sukono, Riaman, Napitupulu, H. D., Kalfin, Hidayat, Y., & Bon, A. T. (2021). Calculation of pension funds with entry age normal and attained age normal approaches in the projected benefit cost method. 2nd Asia Pacific International Conference on Industrial Engineering and Operations Management.

Sulma, S., Widana, I. N., Toaha, S., & Fitria, I. (2023). Comparison of projected unit credit and entry age normal methods in pension fund vasicek and cox-ingersoll-ross models. BAREKENG: Jurnal Ilmu Matematika Dan Terapan, 17(4), 2421–2432. https://doi.org/10.30598/barekengvol17iss4pp2421-2432

Syahrini, I., Nurmaulidar, N., Maulidi, I., & Alfira, M. (2020). Aplikasi metode entry age normal dan projected unit credit untuk iuran normal dan kewajiban aktuaria pada dana pensiun pns. Journal of Data Analysis, 2(1), 43–52. https://doi.org/10.24815/jda.v2i1.14377

Tobing, Y. U. L., & Manullang, S. (2021). Perbandingan suku bunga konstan dan suku bunga stokastik dalam perhitungan dana pensiun dengan metode entry age normal. KARISMATIKA, 7(2).




DOI: http://dx.doi.org/10.24042/djm.v7i2.23738

Refbacks

  • There are currently no refbacks.


Copyright (c) 2024 Desimal: Jurnal Matematika

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

  Creative Commons License
Desimal: Jurnal Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.