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Bankrate Installment Loan Calculator

Installment Loan Payment Formula:

\[ PMT = P \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

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1. What is the Installment Loan Payment Formula?

The installment loan payment formula calculates the fixed monthly payment required to repay a loan over a specified term. This formula is used by banks and lenders to determine amortized loan payments.

2. How Does the Calculator Work?

The calculator uses the standard installment loan formula:

\[ PMT = P \times \frac{r \times (1 + r)^n}{(1 + r)^n - 1} \]

Where:

Explanation: The formula accounts for both principal repayment and interest charges, with payments structured so the loan is paid off exactly at the end of the term.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and comparing loan offers. It also shows the true cost of borrowing through total interest calculations.

4. Using the Calculator

Tips: Enter the loan amount, annual interest rate, and loan term (in months or years). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why does the calculator show a higher total payment than my principal?
A: The difference represents interest charges - the cost of borrowing money over time.

Q2: How does loan term affect my payment?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total interest.

Q3: What's included in the monthly payment?
A: This calculation shows principal and interest only. Real loans may include insurance or taxes if escrowed.

Q4: How accurate is this calculator?
A: It provides standard amortized loan calculations. Actual lender offers may vary slightly due to rounding or specific policies.

Q5: Can I use this for mortgage calculations?
A: Yes, this formula works for any fixed-rate installment loan including mortgages, auto loans, and personal loans.

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