Scientific Nexus
Vol. 1 No. 2 (2025): Scientific Nexus

Mathematical modeling of fixed and declining amortization schemes in cooperative loan systems

Werry Febrianti (Department of Mathematics, Faculty of Science, Institut Teknologi Sumatera, South Lampung, Indonesia)
Ainol Yaqin (Department of Physics, Faculty of Science, Institut Teknologi dan Sains NU Lampung, Indonesia)



Article Info

Publish Date
09 Dec 2025

Abstract

Village cooperatives play a pivotal role in promoting rural economic development by providing accessible microfinance services. This study evaluates two widely applied loan amortization schemes—fixed installment (annuity) and declining balance—within the framework of cooperative finance. By simulating a 12-month loan of IDR 10,000,000 at a 1% monthly interest rate, the paper models and examines the allocation of principal and interest payments under both approaches. The results indicate that although fixed installments ensure stable monthly obligations, they generate higher cumulative interest costs compared to declining balance schemes, which more closely align repayment amounts with the outstanding loan balance. A sensitivity analysis of varying interest rates and loan tenors further offers insights into financial risk management and borrower affordability. These findings can help cooperative managers develop more effective and transparent lending strategies.

Copyrights © 2025






Journal Info

Abbrev

scinexus

Publisher

Subject

Astronomy Chemistry Earth & Planetary Sciences Materials Science & Nanotechnology Medicine & Pharmacology

Description

Scientific Nexus is a peer-reviewed scientific journal publishing research articles, review articles, short communications, editorials, and perspectives within the scope of Science, covering but not limited to: Physics Biomedicine Chemistry Drug Discovery and Development Atmospheric and Planetary ...