Loan balance after a number of payments
Calculate calculated balance after payments (same currency) using the displayed relationship and entered values.
Method and scope
Bₖ = P(1+r)ᵏ − PMT × ((1+r)ᵏ − 1) ÷ r; if r = 0, Bₖ = P − k·PMT
Use loan balance after a number of payments for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.
Inputs- Starting loan principal (same currency) — 1
- Payment each period (same currency) — 1
- Rate per period as a fraction (5% = 0.05) — 1
- Payments already made — 1
Assumptions: The displayed equation is applied to the entered values in the declared units. Any financial rate is interpreted per the period stated in its input label; no jurisdiction-specific fees, taxes, or product terms are inferred.
Limitations: Review the equation, input units, assumptions, and method steps before using the result. This tool is not professional advice.
Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.Explore related fields
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