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Loan Balance After N Payments Calculator

Work out loan balance after n payments instantly with clear inputs, formula shown and shareable results.

About Loan Balance After N Payments Calculator

The balance after k payments is the original loan grown at the monthly rate less the accumulated value of the instalments made. Because early instalments are interest-heavy, the share of principal cleared lags well behind the share of the tenure elapsed.

Formula

Remaining balance

B_k = P(1+r)^k - EMI·((1+r)^k - 1)/r

k
Payments made
r
Monthly rate

Worked example

With the default values below, Loan Balance After N Payments Calculator returns Balance Outstanding of $1,762,543.66. Change any input above and every figure here is recalculated in your browser.

Inputs used

Original Loan Amountminimum 0
2,000,000
Annual Interest Rateaccepts 0–100 %
8.5 %
Original Tenure In Yearsaccepts 1–40
20
Payments Already Madeaccepts 1–480
60

Results

Balance Outstanding
$1,762,543.66
Principal Repaid So Far
$237,456.34
Interest Paid So Far
$803,931.54
Share Of Principal Cleared
11.87%

Step by step

  1. 1Values used
  2. 2Remaining balance
  3. 3Balance Outstanding= 1,762,543.66
  4. 4Principal Repaid So Far= 237,456.34
  5. 5Interest Paid So Far= 803,931.54
  6. 6Share Of Principal Cleared= 11.87

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax or fees or charges into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
  • Figures are estimates. Lenders apply their own rounding, fees and eligibility rules, and rates change. This is not financial advice — confirm the numbers with your lender.
  • This is an estimate for general information and not professional financial, tax or legal advice. See the full disclaimer for the limits that apply to this kind of calculator.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Figures are estimates. Lenders apply their own rounding, fees and eligibility rules, and rates change. This is not financial advice — confirm the numbers with your lender.

Frequently Asked Questions

Why is so little principal repaid in the first years?

Interest is front-loaded on a large balance. On a 20-year loan at 8.5% only about a fifth of principal clears in the first five years.

Does this match the lender's statement?

It should be close. Small differences arise from rounding, payment dates and any fees added to the account.

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