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How to Calculate Loan Repayment

What is Loan Repayment?

A loan repayment calculator determines monthly payments and the full repayment schedule for any type of loan — personal, car, home improvement, or business. Every payment follows the amortisation principle: interest accrues on the outstanding balance each month.

Formula

Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1)
M
P × r(1+r)^n / ((1+r)^n − 1) — P × r(1+r)^n / ((1+r)^n − 1)
P
P value — Variable used in the calculation

Step-by-Step Guide

  1. 1Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1)
  2. 2After each payment: Interest portion = Balance × r, Principal portion = M − Interest
  3. 3New balance = Old balance − Principal portion

Worked Examples

Input
£10,000 loan at 8% for 3 years
Result
£313/month · Total interest: £1,268
36 payments of £313.36

Frequently Asked Questions

What is Loan Repayment?

A loan repayment calculator determines monthly payments and the full repayment schedule for any type of loan — personal, car, home improvement, or business. Every payment follows the amortisation principle: interest accrues on the outstanding balance each month

How accurate is the Loan Repayment calculator?

The calculator uses the standard published formula for loan repayment. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Loan Repayment calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Loan Repayment calculator use?

The core formula is: Monthly payment M = P × r(1+r)^n / ((1+r)^n − 1). Each step in the calculation is shown so you can verify the result manually.

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