What this tool models
The simulation applies a simplified monthly rate, interest charge, and payment with cent-level rounding for up to 1,200 months. It stops when the first payment does not reduce the balance.
Interactive Learning Tool
Show how a user-entered balance, APR, and payment amount affect a simplified repayment timeline.
This tool models user-entered assumptions for education. It does not recommend a financial decision.
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The simulation applies a simplified monthly rate, interest charge, and payment with cent-level rounding for up to 1,200 months. It stops when the first payment does not reduce the balance.
Enter a starting balance, APR, scheduled monthly payment, and an optional additional payment for a comparison. Results remain hidden until the form is valid.
Simplified timeline
| Month | Starting balance | Interest | Payment | Principal | Ending balance |
|---|
| Month | Starting balance | Interest | Payment | Principal | Ending balance |
|---|
Monthly rate = APR ÷ 12 ÷ 100.
Monthly interest = current balance × monthly rate.
Principal reduction = payment − monthly interest.
New balance = current balance + interest − payment. The final payment is capped at balance plus interest.
The result shows how interest and payment size interact, including why a payment can fail to reduce the starting balance under some assumptions.
Continue learning
Official sources support the educational definitions. Calculations use the simplified formulas shown on this page.
Financial Intelligence Lab provides simplified educational information, calculators, and games. This page does not provide individualized financial, investment, tax, legal, credit, student-loan, insurance, housing, retirement, career, business, or budgeting advice. Examples and formulas use simplified assumptions. Actual costs, taxes, rates, benefits, laws, eligibility rules, and personal circumstances vary.