Loan Payment (P&I) Calculator
Calculation
Monthly Payment = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
P=Principal, i=Monthly Rate, n=Months
Understanding Loan Payments
A loan payment calculator determines the fixed periodic payment required to fully repay a loan over a specified term, considering the principal amount borrowed and the interest rate. Most standard loans, such as personal loans, auto loans, and mortgages, use an amortization schedule where each payment consists of both principal repayment and interest charges. Initially, a larger portion of the payment goes towards interest, gradually shifting towards principal repayment over the loan's life.
The mathematical formulas for calculating amortizing loan payments have been established for centuries, forming the basis of lending practices. The standard formula calculates a constant payment amount that ensures the loan balance reaches zero precisely at the end of the term. The development of financial tables and later, calculators and software, made these complex calculations accessible to borrowers and lenders alike.
This calculator helps borrowers understand the financial commitment involved in taking out a loan. By inputting the loan amount, interest rate, and loan term, you can see the estimated monthly payment. This is crucial for budgeting, comparing loan offers from different lenders, and understanding how factors like interest rate or loan term affect the overall cost of borrowing.