Remaining Loan Balance Calculator

About this calculator

The remaining balance on an amortizing loan — a mortgage, auto loan, or personal loan — is not simply the original amount minus payments made, because a portion of every payment goes toward interest rather than principal, and that split shifts over the loan’s life. Early payments are interest-heavy; later payments are principal-heavy, so the balance doesn’t decline in a straight line.

The remaining balance after n payments is calculated from the loan’s original amortization schedule using the standard formula: B = P × [(1+r)^N − (1+r)^n] ÷ [(1+r)^N − 1], where P is the original principal, r is the periodic interest rate, N is the total number of payments, and n is payments already made. This figure is what a borrower actually owes if they want to refinance, sell the underlying asset, or pay off the loan early, and it’s what lenders report on a loan payoff statement.