Comparison of the Actuarial Model for A Normal Lumpsum Pension Plan Using Defined-Benefit and Hybrid Models of Company Employees

Ardella Maharani, I Gusti Putu Purnaba, Ruhiyat Ruhiyat

Abstract


Abstract

In this research, we delve into the realm of pension plan programs, essential for securing a robust livelihood post-retirement through the provision of pension benefits to retired employees. Addressing the intricate balance between financial sustainability and risk mitigation, companies are mandated to allocate funds for pension benefits. The hybrid pension plan, a novel amalgamation of defined-benefit (DB) and defined-contribution (DC) features, emerges as a strategic solution to minimize the inherent risks of both models. This study undertakes the task of calculating the costs associated with pension benefits and the replacement ratio (RR) for both the traditional DB plan and the innovative hybrid pension plan. Drawing on data from 90 employees at Company X, we assume an effective interest rate of 4% for the DB plan and explore various scenarios for the hybrid plan, ranging from 3% to 5%. The findings present a compelling narrative: the costs required to fund the hybrid plan are found to be notably lower than those for the DB plan, ushering in a more economically sustainable approach. Concurrently, the RR derived from the hybrid plan surpasses that of the DB plan, showcasing its potential to provide a more substantial post-retirement income. Additionally, as the effective interest rate escalates, costs rise, and RR declines, emphasizing the sensitivity of these parameters to the interest rate. Considering these results, a conclusion emerges: the hybrid pension plan stands out as the optimal choice for employees at Company X, presenting a novel and advantageous approach to pension program design and implementation.

Keywords: Cost of pension benefits; Defined-benefit; Hybrid; Pension plan; Replacement ratio.

 

Abstrak

Dalam penelitian ini, kami mendalami program pensiun, yang penting untuk menjamin penghidupan yang kuat setelah pensiun melalui pemberian manfaat pensiun kepada karyawan yang pensiun. Untuk mengatasi keseimbangan rumit antara keberlanjutan finansial dan mitigasi risiko, perusahaan diwajibkan mengalokasikan dana untuk manfaat pensiun. Program pensiun hybrid, yang merupakan penggabungan fitur manfaat pasti (DB) dan iuran pasti (DC), muncul sebagai solusi strategis untuk meminimalkan risiko yang melekat pada kedua model tersebut. Studi ini menghitung biaya yang terkait dengan manfaat pensiun dan replacement ratio (RR) untuk program DB dan program pensiun hybrid. Berdasarkan data dari 90 karyawan di Perusahaan X, kami mengasumsikan tingkat bunga efektif sebesar 4% untuk program DB dan menggunakan rentang 3% hingga 5% untuk program hybrid. Hasil penelitian menemukan bahwa biaya yang diperlukan untuk mendanai program hybrid ternyata jauh lebih rendah dibandingkan dengan program DB, sehingga menghasilkan pendekatan yang lebih berkelanjutan secara ekonomi. Pada saat yang sama, RR yang diperoleh dari program hybrid melampaui program DB, sehingga menunjukkan potensinya dalam memberikan pendapatan pasca-pensiun yang lebih besar. Selain itu, ketika tingkat bunga efektif meningkat, biaya meningkat, dan RR menurun. Hal ini menekankan sensitivitas parameter-parameter ini terhadap tingkat bunga efektif. Kesimpulannya program pensiun hybrid merupakan pilihan optimal bagi karyawan di Perusahaan X, karena menghadirkan pendekatan baru dan menguntungkan dalam perancangan dan implementasi program pensiun.

Kata Kunci: Biaya manfaat pensiun; Dana pensiun; Defined-benefit; Hybrid; Replacement ratio.

 

2020MSC: 62P05. 

Keywords


Cost of pension benefits; Defined-benefit; Hybrid; Pension plan; Replacement ratio

References


A. W, A Problem-Solving Approach to Pension Funding Connecticut, Connecticut: ACTEX Publications, 1996.

P. Devolder and S. D. Valeriola, "Between DB and DC: Optimal Hybrid PAYG Pension Schemes," European Actuarial Journal, vol. 9, pp. 463-482, 2019.

M. Z. Khorasnee, "Risk Sharing and Benefit Smoothing in a Hybrid Pension Plan," North American Actuarial Journal, vol. 16, no. 4, pp. 449-461, 2013.

T. Wen, Understanding Risks in a Hybrid Pension Plan with Stochastic Rates of Returns, Burnaby: Simon Fraser University, 2014.

Badan Kepegawaian Negara, "Civil Apparatus Policy Brief: Sistem Pensiun Pegawai Negeri Sipil - Desain Manfaat Jaminan Pensiun," Badan Kepegawaian Negara, 6 2018. [Online]. Available: https://www.bkn.go.id/wp-content/uploads/2014/06/06.Policy-Brief-Juni-2018.pdf. [Accessed 25 8 2023].

International Labor Organisation, "Social Protection for Older Persons: Policy Trends and Statistics 2017-2019," Social Protection Policy Paper, 2018. [Online]. Available: https://www.ilo.org/wcmsp5/groups/public/---ed_protect/---soc_sec/documents/publication/wcms_645692.pdf. [Accessed 25 8 2022].

I. G. A. Komang, K. Wardhani, I. N. Widana and N. K. T. Tastrawati, "Perhitungan Dana Pensiun dengan Metode Projected Unit Credit dan Individual Level Premium," E-Jurnal Matematika, vol. 3, no. 2, pp. 64-74, 2014.

A. Yushita, Bank dan Lembaga Keuangan Lainnya, Yogyakarta: Universitas Negeri Yogyakarta, 2022.

H. Tian, Pricing and Hedging a Hybrid Pension Plan, Waterloo: University of Waterloo, 2014.

Bank Indonesia, "BI 7-day Repo Rate," Bank Indonesia, 2022. [Online]. Available: https://www.bi.go.id/en/statistik/indikator/bi-7day-rr.aspx. [Accessed 25 8 2022].

Organisation for Economic Co-operation and Development, "Pensions at A Glance 2019," Organisation for Economic Co-operation and Development, Paris, 2019.

Y. Li, H. Y and Z. Y, "Optimization of the Actuarial Model of Defined Contribution Pension Plan," Discrete and Dynamic Optimization Problems in Operations Management, vol. 57621, no. 3, pp. 1-7, 2014.

L. R.L., C. R.J. and H. T.N., Models for Quantifying Risk, London: ACTEX Publications, 2005.

J. Owens, "LDI For DB Plans With Lump Sum Benefit Payment Options," Russel Investments, 2018. [Online]. Available: https://russellinvestments.com/us/insights/articles/ldi-for-db-plans-lump-sum-benefit-payment-options. [Accessed 25 8 2022].

X. Zhu, M. Hardy and D. Saunders, "Valuation of an early exercise defined benefit underpin hybrid pension," Scandinavian Actuarial Journal, vol. 2018, no. 9, pp. 823-844, 2018.

H. Winklevoss, Pension Mathematics with Numerical Illustration, Philadelphia: University of Pennsylvania Press, 1993.


Full Text: PDF

DOI: 10.15408/inprime.v5i2.32741

Refbacks

  • There are currently no refbacks.