Installment Payment Calculator (fees and APR estimate)
From the principal, number of installments, interest method (annual rate on the balance or flat rate), one-time and per-installment fees: the installment, total paid, interest and fees, plus a solved APR.
- Runs in your browser (no upload)
The starting values are only an example. Enter the terms in your agreement.
Result
One payment at the end of every month. The one-time fee is paid once when the plan starts; the per-installment fee is added to every payment.
Each installment is rounded to the smallest unit; the final installment absorbs the rounding differences.
Payment schedule
| No. | Payment | Principal | Interest | Fee | Balance |
|---|---|---|---|---|---|
| 1 | 106.62 | 94.62 | 12.00 | 0.00 | 1,105.38 |
| 2 | 106.62 | 95.57 | 11.05 | 0.00 | 1,009.81 |
| 3 | 106.62 | 96.52 | 10.10 | 0.00 | 913.29 |
| 4 | 106.62 | 97.49 | 9.13 | 0.00 | 815.80 |
| 5 | 106.62 | 98.46 | 8.16 | 0.00 | 717.34 |
| 6 | 106.62 | 99.45 | 7.17 | 0.00 | 617.89 |
| 7 | 106.62 | 100.44 | 6.18 | 0.00 | 517.45 |
| 8 | 106.62 | 101.45 | 5.17 | 0.00 | 416.00 |
| 9 | 106.62 | 102.46 | 4.16 | 0.00 | 313.54 |
| 10 | 106.62 | 103.48 | 3.14 | 0.00 | 210.06 |
| 11 | 106.62 | 104.52 | 2.10 | 0.00 | 105.54 |
| 12 | 106.60 | 105.54 | 1.06 | 0.00 | 0.00 |
| Total | 1,279.42 | 1,200.00 | 79.42 | 0.00 |
How to use
- Enter the principal and the number of monthly installments, choose how interest is charged and enter the rate.
- Add any one-time fee and any fee charged with every installment.
- See each installment, the total paid, interest and fees, an APR estimate and the full schedule, which you can download as CSV.
FAQ
Why is the APR above 0% when the interest rate is 0%?
With fees you pay back more than you actually receive (the principal minus the one-time fee). Expressed as a yearly rate, that cost is greater than 0%.
What is the difference between a flat rate and a rate on the balance?
A flat rate keeps charging interest on the original amount even as you repay it, so the true cost is higher than the number suggests (1% per month for 12 months is an APR of about 21.5%). A rate on the balance only charges interest on what you still owe.
How is the APR estimated?
It solves numerically (bisection) for the monthly rate i at which the amount received and the monthly payments balance, then shows i × 12 and the compounded (1 + i)^12 − 1. Only this step uses floating point, rounded to 2 decimal places.
Notes & limitations
- What you enter is processed only on this page and is not sent to YUCTS servers.
- Assumes one payment every month. Daily interest, extra or balloon payments, early repayment and late fees are not handled.
- The one-time fee is assumed to be paid once when the plan starts (for the APR it reduces the amount you receive), and the per-installment fee is added to every payment. If your agreement handles fees differently, enter them to match it.
- The APR is an estimate; legal disclosure rules may calculate it differently. Your agreement is authoritative.
- Amounts are rounded to the smallest unit and the final installment absorbs the difference; lenders may round differently.
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