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

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

DOI
10.35472/scinexus.2320
ISSN
3110-3278
Published
2025-12-01
Publisher
Institut Teknologi Sumatra

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.

Collaboration network of the authors

10 authors · 16 co-authorship links

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Co-authorOrganisationJoint articles
Jova Edri SaputraAffiliation unknown2
Kurnia Novita SariAffiliation unknown1
Sapto Wahyu IndratnoAffiliation unknown1
Andi FitriawatiAffiliation unknown1
Lutfi MardiantoAffiliation unknown1
Muhammad Naif AbdallahAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/3110-3278/works, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Mathematical modeling of fixed and declining amortization schemes in cooperative loan systems</dc:title><dc:creator>Department of Mathematics, Faculty of Science, Institut Teknologi Sumatera, South Lampung, Indonesia</dc:creator><dc:creator>Febrianti, Werry</dc:creator><dc:creator>Yaqin, Ainol</dc:creator><dc:creator>Department of Physics, Faculty of Science, Institut Teknologi dan Sains NU Lampung, Indonesia</dc:creator><dc:description>&lt;jats:p&gt;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.&lt;/jats:p&gt;</dc:description><dc:publisher>Institut Teknologi Sumatra</dc:publisher><dc:date>2025-12-01</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://doi.org/10.35472/scinexus.2320</dc:identifier><dc:identifier>10.35472/scinexus.2320</dc:identifier><dc:source>Scientific Nexus; Vol 1 No 2 (2025); e2320</dc:source><dc:source>3110-3278</dc:source></oai_dc:dc>