How to Calculate a Monthly Payment by Hand
Calculating a monthly payment by hand is a crucial skill when dealing with loans, mortgages, or any form of installment payment. It helps you understand the true cost of borrowing and plan your finances effectively.
- Enter the loan amount, interest rate, and loan term in the respective fields.
- Click the ‘Calculate’ button.
- View your monthly payment and a chart showing the amortization schedule below the calculator.
The formula to calculate the monthly payment (M) is:
M = P [ i(1 + i)^n ] / [ (1 + i)^n — 1 ]
Where:
- P is the principal loan amount.
- i is the monthly interest rate (annual interest rate divided by 12).
- n is the number of months (loan term in years multiplied by 12).
| Loan Amount | Interest Rate | 5-Year Term | 10-Year Term | 15-Year Term | 20-Year Term | 30-Year Term |
|---|---|---|---|---|---|---|
| $200,000 | 4% | $1,101.09 | $1,019.66 | $959.37 | $899.38 | $843.53 |
- Understand the amortization schedule: It shows how your payment is applied to both interest and principal each month.
- Consider refinancing: If interest rates drop, you may be able to lower your monthly payment by refinancing your loan.
What is the difference between interest rate and APR?
The interest rate is the cost of borrowing the money, while the annual percentage rate (APR) includes additional fees and costs associated with the loan.
For more information, see the following authoritative sources: