Home Back

Monthly Payment Calculator Formula

Monthly Payment Formula:

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

$
%
years

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Monthly Payment Formula?

The monthly payment formula calculates the fixed monthly payment required to pay off a loan over a specified term. This formula is commonly used for mortgages, car loans, and other installment loans to determine regular payment amounts.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula accounts for both principal repayment and interest charges, distributing the total cost evenly across all payment periods.

3. Importance of Monthly Payment Calculation

Details: Accurate monthly payment calculation is essential for budgeting, loan comparison, and financial planning. It helps borrowers understand their payment obligations and assess affordability before committing to a loan.

4. Using the Calculator

Tips: Enter the principal amount in dollars, annual interest rate as a percentage, and loan term in years. All values must be positive numbers with the principal greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between principal and interest?
A: Principal is the original loan amount borrowed, while interest is the cost of borrowing that money, calculated as a percentage of the principal.

Q2: How does loan term affect monthly payments?
A: Longer loan terms result in lower monthly payments but higher total interest costs over the life of the loan.

Q3: What is amortization?
A: Amortization is the process of paying off a loan through regular payments that cover both principal and interest, with the interest portion decreasing over time.

Q4: Are there other costs besides the monthly payment?
A: Yes, loans may include additional costs such as insurance, taxes, fees, or private mortgage insurance (PMI) that are not included in this calculation.

Q5: Can I pay off my loan early?
A: Most loans allow early repayment, but some may have prepayment penalties. Early payment can save significant interest costs.

Monthly Payment Calculator Formula© - All Rights Reserved 2025