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All Journal Media Statistika Kubik Journal of Science and Applicative Technology Zero : Jurnal Sains, Matematika, dan Terapan Jurnal Cendekia : Jurnal Pendidikan Matematika Variance : Journal of Statistics and Its Applications KUBIK: Jurnal Publikasi Ilmiah Matematika Griya Journal of Mathematics Education and Application Binawan Student Journal Enthusiastic : International Journal of Applied Statistics and Data Science Jurnal Pengabdian Masyarakat Bangsa RENATA Jurnal Pengabdian Masyarakat Kita Semua JPMB Parahita Indonesian Journal of Applied Mathematics Jurnal KALANDRA TeknoKreatif: Jurnal Pengabdian kepada Masyarakat
Yulita, Tiara
Institut Teknologi Sumatera
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Actuarial Evaluation of Additional Contributions in Early Retirement Programs Using the Spreading Gains and Losses Method Dwi Mahrani; Miftha Ulya Nazima; Ayu Sofia; Tiara Yulita
ZERO: Jurnal Sains, Matematika dan Terapan Vol 10, No 1 (2026): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v10i1.28726

Abstract

This study examines the actuarial and funding implications of accelerated retirement in a defined benefit pension scheme by integrating the Projected Unit Credit (PUC) method with the Spreading Gains and Losses approach. While both methods are widely applied in pension valuation, limited empirical evidence evaluates their combined implementation under retirement age acceleration scenarios, particularly in Indonesian public sector schemes. This study addresses that gap using secondary administrative employment data of 87 female civil servants obtained from the Investment and One-Stop Integrated Services Office of Lampung Province (Dinas Penanaman Modal dan Pelayanan Terpadu Satu Pintu Provinsi Lampung), grouped into four entry-age cohorts (22–25 years). The analysis compares normal retirement at age 58 with accelerated retirement at age 50, assuming a 5% annual effective interest rate and 8% biennial salary growth. The results indicate that, at valuation age 45, actuarial liabilities increase by approximately 49.8% under retirement at age 50 relative to age 58. The shorter discounting period and earlier benefit payments outweigh the reduced contribution period, resulting in the emergence of Unfunded Actuarial Liability (UAL). The resulting Past Service Liability (PSL) is amortized over five years, requiring additional contributions ranging from IDR 27.06 million to IDR 82.05 million across entry-age groups. These findings highlight the high sensitivity of pension funding to retirement age assumptions and emphasize the importance of actuarial impact assessments prior to policy implementation. However, the deterministic framework and relatively small sample size limit broader generalization of the results.
Co-Authors Adhitya Ronnie Effendie, Adhitya Ronnie Agus Irawan Agus Sofian Eka Hidayat Agus Sofian Eka Hidayat Alfian, Muhammad Nuril Andi Fitriawati Aprilia, Inaya Sathrani Ayu Sofia Azzanina, Nanda Baiti, Putri Isnaini Cahyaning Berliana Ratam, Aldila Nur Indah Chaterine Theresia Lubis Dani Al Mahkya Dewi, Karina Sylfia Dila Tirta Julianty Divira Iga Firdianti Dwi Mahrani Fitriawati , Andi Fuji Lestari Gilang Primajati Gustina K. S, Annisa Hevita Hardi Suyitno Hayati MT, Ma’rufah Hidayat, Agus Sofian Eka Inayah, Larasati Nurul Indah Gumala Andirasdini Irfan, Miftahul Irwan, Sri Efrinita Lestari, Yushinta Cahya Listiani, Amalia Madonna, Nora Manurung, Chintya Carissa Marisa Marisa Miftha Ulya Nazima Mt, Ma’rufah Hayati Nasrullah Nasrullah Nasrullah Patricia, Mitha Rivai, Muklas Rosni, Rosni Simanjuntak, Erica Grace Siregar, Abian Avisena Sitorus, Kristiani Sugiman Sugiman