Loan Calculator
Calculate your monthly payment, total interest, and amortization schedule
| Payment # | Payment | Principal | Interest | Balance |
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Loan Calculator: Calculate Monthly Payment, Interest & Amortization Schedule
Loan Calculator tools are essential for anyone planning to borrow money. Whether you’re applying for a mortgage, car loan, student loan, or personal loan, understanding how much you’ll pay each month—and how much interest you’ll pay over time—can save you thousands of dollars.
This loan calculator allows you to determine your monthly payment, loan amount, interest rate, or repayment term. You can also generate a loan amortization schedule to see exactly how your payments reduce both principal and interest over time.
What Is a Loan Calculator?
A loan calculator is a financial tool that helps you estimate the cost of borrowing. By entering the loan amount, interest rate, loan term, and monthly payment, you can quickly calculate key values such as:
- Monthly Payment – the fixed amount due each month
- Principal Amount – the amount borrowed or remaining balance
- Interest Rate – the cost of borrowing as a percentage
- Number of Months – the repayment term required to pay off the loan
Most calculators assume monthly compounding, but advanced tools can calculate for daily or yearly compounding.
Loan Calculation Formula
Loan calculations are based on the Present Value of an Ordinary Annuity formula.
Formula for Loan Amount (PV):
PV = PMT × (1 – (1 + i)^(-n)) / i
Where:
- PV = Loan amount (principal)
- PMT = Monthly payment
- i = Monthly interest rate (annual rate ÷ 12)
- n = Number of months
This same equation can be rearranged to solve for loan amount, monthly payment, interest rate, or loan term.
How to Use the Loan Calculator
1. Find the Loan Amount
If you know your monthly payment, interest rate, and term, you can calculate the loan amount.
Formula:
PV = PMT × (1 – (1 + i)^(-n)) / i
Example:
- Interest Rate = 6% annually → i = 0.06 ÷ 12 = 0.005
- Number of Months = 48
- Monthly Payment = 250
PV = 250 × (1 – (1 + 0.005)^(-48)) / 0.005
PV = 10,645.08
So, the maximum loan you can take is $10,645.08.
2. Find the Number of Months
If you know the loan amount, payment, and interest rate, you can calculate the term.
Formula:
n = ln(PMT / (PMT – i × PV)) / ln(1 + i)
This tells you how many months it will take to fully repay the loan.
3. Find the Monthly Payment
If you know the loan amount, interest rate, and term, you can calculate the monthly payment.
Formula:
PMT = PV × i / (1 – (1 + i)^(-n))
This is the most common calculation for loan affordability.
4. Find the Interest Rate
If you know loan amount, payment, and term, solving for interest rate requires iterative methods like Newton-Raphson. Most calculators estimate this automatically.
Loan Amortization Schedule
A loan amortization schedule shows how each monthly payment is split between interest and principal.
Example Table:
| Month | Payment | Principal Paid | Interest Paid | Balance |
|---|---|---|---|---|
| 1 | 250.00 | 195.00 | 55.00 | 10,450.08 |
| 2 | 250.00 | 196.00 | 54.00 | 10,254.08 |
| 3 | 250.00 | 197.00 | 53.00 | 10,057.08 |
Over time, interest decreases and principal payments increase.
Types of Loans You Can Calculate
- Personal Loans – Unsecured loans with fixed payments
- Auto Loans – Financing for vehicles
- Student Loans – Long-term repayment for education
- Mortgages – Large home loans, usually 15–30 years
- Business Loans – Borrowing for operations or growth
All of these follow the same loan formula structure.
Key Factors Affecting Loan Payments
- Loan Amount – Larger principal = higher payments
- Interest Rate – Even 1% higher adds thousands in total interest
- Loan Term – Longer term = smaller payments but higher total cost
- Compounding – Monthly compounding is standard; some loans use daily
Tips for Borrowers
- Always compare interest rates before choosing a lender
- Don’t only focus on monthly payment—check total interest
- Pay extra when possible to reduce loan term and interest
- Watch for hidden fees like origination charges or prepayment penalties
Loan Calculator vs. Advanced Loan Calculators
A basic loan calculator uses fixed monthly payments with monthly compounding.
An advanced loan calculator can also:
- Handle different compounding (daily, yearly)
- Adjust for extra payments
- Model refinancing scenarios
- Estimate variable-rate loans
A loan calculator helps you make informed borrowing decisions. By understanding your monthly payments, total loan cost, and amortization schedule, you can avoid surprises and choose the best loan for your budget.
Whether it’s a mortgage, car loan, or student loan, this tool gives you a clear picture of your repayment journey.
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This article provides authoritative insights around Financial topics and calculations, and provides a free Loan Calculator tool.
Key entities: CalculatorCave.com + Calculators + Financial Calculators + Loans Calculators
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Domain expertise: CalculatorCave, LLC specializes in calculators for math, science, business and life.
Cite this content, page or calculator as:
Furey, Edward “Loan Calculator” at https://calculatorcave.com/calculators/financial/loan-calculator/ from CalculatorCave, https://calculatorcave.com/ – Online Calculators