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Loan Balance Calculator

Calculate remaining principal balance on any loan after a specific number of payments or elapsed time with instant amortization math.

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Understanding Your Remaining Loan Balance

When you make monthly payments on an amortized loan such as a mortgage, auto loan, or personal loan, each payment is divided into two components: principal repayment and interest charges. In the early stages of a loan, a larger share of each payment goes toward interest. Over time, as the principal balance decreases, an increasing portion of your monthly payment goes toward reducing the principal.

How Loan Balance is Calculated

The remaining principal balance $B$ after $p$ payments on a loan with initial amount $P$, monthly interest rate $i = r/12$, and monthly payment $M$ can be expressed as:

$$B = P(1+i)^p - M \frac{(1+i)^p - 1}{i}$$

This online calculator tracks your remaining balance, total interest paid to date, and percentage paid off in real time as you adjust your payments made or loan terms.

Why Track Remaining Principal?

Monitoring your remaining loan balance helps when planning loan refinancing, making extra principal prepayments, assessing equity built in assets, or comparing loan payoff options.

Frequently Asked Questions

How does making extra payments affect my loan balance?

Any extra payment made directly toward the principal reduces your remaining loan balance immediately, which decreases future interest accrual and shortens your total loan term.

Why doesn't my loan balance decrease by my full monthly payment amount?

Monthly payments include interest charges calculated on your current remaining principal balance. Only the portion of the payment exceeding the interest charge reduces your principal balance.

Can I use this calculator for a mortgage?

Yes, this calculator works for any standard fixed-rate amortized loan including mortgages, car loans, student loans, and personal loans.