## About Unpaid Balance Calculator (Formula)

An Unpaid Balance Calculator is a tool used in finance and accounting to calculate the remaining balance of a loan or debt that has not been fully paid off. This calculation is important for individuals and businesses to understand how much is still owed on a loan or debt after making certain payments. The formula used to calculate the unpaid balance involves the original loan amount, the interest rate, and the number of payments made.

The formula for calculating the Unpaid Balance (UB) of a loan or debt with an original principal amount (P), an interest rate per period (r), and the number of payments made (n) is:

**Unpaid Balance (UB) = P × (1 – (1 + r)^-n) / r**

Where:

**Unpaid Balance (UB)**is the remaining balance of the loan or debt that has not been paid off.**P**is the original principal amount of the loan or debt.**r**is the interest rate per payment period (expressed as a decimal).**n**is the number of payments made towards the loan or debt.

Using the Unpaid Balance Calculator involves these steps:

**Input**: Enter the original principal amount, the interest rate per period, and the number of payments made into the calculator.**Calculation**: The calculator applies the formula to calculate the unpaid balance.**Output**: The calculator displays the calculated unpaid balance.

This tool is particularly useful for borrowers, lenders, and financial professionals who need to track and manage outstanding loan balances.

For example, if a loan has an original principal amount of $10,000, an annual interest rate of 5%, and 12 monthly payments have been made, the Unpaid Balance Calculator will provide you with the remaining balance of the loan.

In the fields of personal finance, banking, and accounting, understanding unpaid balances is crucial for managing debt, making financial decisions, and planning repayment strategies.