⚡ Quick answer
To calculate your monthly loan payment, use the formula M = P [r(1 + r)^n] / [(1 + r)^n – 1].
Payment Calculator
Calculate monthly loan payment and total repayment cost.
📖 What it is
The Payment Calculator is designed to help you evaluate your borrowing costs and monthly loan payments over a defined repayment schedule. This tool is essential for understanding your financial commitments before taking out a loan.
To use the Payment Calculator, you will need to input the loan amount, annual percentage rate (APR), and loan term in months. The output will provide you with your monthly payment amount as well as the total cost of the loan over its lifetime.
It's important to note that the calculator assumes fixed monthly payments and does not consider additional fees or insurance that may be associated with the loan. Be cautious when relying solely on this tool for comprehensive financial planning.
How to use
- Identify the loan amount (P).
- Determine the annual interest rate (APR) and convert it to a monthly rate (r).
- Decide on the total number of payments (n) in months.
- Plug the values into the formula.
- Calculate to find your monthly payment (M).
📐 Formulas
- Monthly Payment—M = P [r(1 + r)^n] / [(1 + r)^n – 1]
- Total Payment—TP = M * n
- Total Interest—TI = TP - P
- Monthly Interest Rate—r = APR / 12
💡 Example
If you take out a loan of $20,000 at an APR of 7.5% for 60 months:
1. Calculate the monthly interest rate: r = 7.5% / 12 = 0.00625.
2. Apply the formula for monthly payment: M = 20000 [0.00625(1 + 0.00625)^60] / [(1 + 0.00625)^60 – 1].
3. This results in a monthly payment of approximately $400.76.
Real-life examples
Car Loan Example
For a $15,000 car loan at 5% APR for 36 months, the monthly payment is approximately $449.13.
Home Mortgage Example
A mortgage of $200,000 at 3.5% APR for 30 years results in a monthly payment of about $898.09.
Scenario comparison
- Fixed Rate vs Adjustable Rate—A fixed-rate loan maintains the same payment throughout the term, while an adjustable-rate loan may change based on market conditions.
- Short Term vs Long Term—A short-term loan has higher monthly payments but less total interest paid compared to a long-term loan with lower monthly payments but more interest.
Common use cases
- Calculating monthly payments for a personal loan.
- Estimating costs for a mortgage before buying a home.
- Understanding payments for a car loan.
- Planning finances for student loans.
- Determining affordability of a business loan.
- Evaluating payment options for credit cards.
- Assessing impact of different loan terms on monthly payments.
- Comparing various loan offers from different lenders.
How it works
The Payment Calculator operates on a fixed-payment amortization formula that calculates payments based on the principal, interest rate, and loan term, with monthly compounding factored in.
What it checks
This tool checks the affordability and total cost of borrowing based on your specified loan parameters.
Signals & criteria
- Principal
- APR
- Loan term
- Interest burden
Typical errors to avoid
- Using years when field expects months.
- Ignoring fees/insurance outside loan payment.
- Comparing offers without matching term lengths.
Decision guidance
Trust workflow
Recommended steps after getting a result:
- Input your loan amount, interest rate, and loan term accurately.
- Review the calculated monthly payment and total payment amounts.
- Consider additional costs not included in the calculator.
- Use the results to compare different loan offers effectively.
FAQ
FAQ
Does this include fees?
No, only principal and interest are modeled.
What if rate is 0%?
Payment is principal divided evenly by months.