Enter down payment amount to reduce your loan principal
About Loan Calculator
This loan calculator helps you estimate your monthly loan payments, total interest, and overall cost of borrowing. It works for mortgages, auto loans, personal loans, student loans, and any other amortized loan.
Loan Payment Formula
The monthly payment is calculated using the standard amortization formula:
M = P × [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
- M = Monthly payment
- P = Principal (loan amount)
- r = Monthly interest rate (annual rate ÷ 12)
- n = Total number of payments (years × 12)
Example Calculation
Loan: $20,000 at 6% for 5 years
- Monthly interest rate: 6% ÷ 12 = 0.5% = 0.005
- Number of payments: 5 × 12 = 60
- Monthly payment: $386.66
- Total interest: $3,199.60
- Total payment: $23,199.60
Understanding Loan Components
Principal
The amount you borrow. If you buy a $250,000 home with a $50,000 down payment, your principal is $200,000.
Interest Rate
The cost of borrowing money, expressed as an annual percentage. The APR (Annual Percentage Rate) includes interest plus certain fees, giving you the true cost of borrowing.
Loan Term
How long you have to repay the loan. Shorter terms mean higher payments but less total interest. Longer terms mean lower payments but more total interest.
Frequently Asked Questions
How is monthly loan payment calculated?
Use the amortization formula: M = P × [r(1 + r)^n] / [(1 + r)^n - 1], where M is monthly payment, P is principal, r is monthly interest rate, and n is total number of payments.
What's the difference between interest rate and APR?
Interest rate is the cost of borrowing the money. APR includes the interest rate plus certain fees like origination fees, points, and closing costs. APR is the true cost of borrowing and allows comparison between lenders.
How can I lower my monthly payment?
You can lower your monthly payment by: 1) Choosing a longer loan term, 2) Refinancing at a lower rate, 3) Making a larger down payment to reduce the principal amount.
Should I pay off my loan early?
Consider paying early if you have a high interest rate (>7%), no better investment opportunities, and want to be debt-free. However, ensure you have an emergency fund first and aren't missing employer 401k matching.
About This Calculator
Loan Calculator - Calculate Loan Payments
Calculate your loan payments instantly with our free loan calculator. Determine monthly payments, total interest, and payoff schedules for mortgages, auto loans, personal loans, and any other type of loan.
Calculate Your Loan Payment
Loan Amount:
- Principal: [Input] $/€/£
Loan Terms:
- Interest Rate: [Input] % APR
- Loan Term: [Input] years OR
- Loan Term: [Input] months
Advanced Options (Optional):
- Down Payment: [Input] $/€/£
- Trade-in Value: [Input] $/€/£
- Sales Tax: [Input] %
- Fees: [Input] $/€/£
[Calculate Loan Payment Button]
Your Results:
- Monthly Payment: [Amount]
- Total Principal: [Amount]
- Total Interest: [Amount]
- Total Cost: [Amount]
Loan Summary:
- Finance Charge: [Amount]
- Payoff Date: [Month/Year]
- Total Payments: [Number]
Amortization Schedule: [Table showing payment breakdown over time]
What is a Loan Calculator?
A loan calculator is a financial tool that calculates your periodic loan payments, total interest paid, and creates an amortization schedule showing how each payment is split between principal and interest over the life of the loan.
Why Use a Loan Calculator?
- Payment Planning: Know exactly what you'll pay each month
- Affordability Check: Determine if a loan fits your budget
- Interest Comparison: Compare loan offers effectively
- Term Analysis: See how loan term affects total cost
- Amortization: Understand principal vs. interest breakdown
- Refinancing Decisions: Compare current loan with refinance offers
How Loan Payments Work
The Loan Payment Formula
Standard Amortizing Loan Formula:
PMT = P × [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
PMT = Monthly Payment
P = Principal (loan amount)
r = Monthly Interest Rate (Annual Rate ÷ 12)
n = Total Number of Payments (Years × 12)
Example Calculation:
Loan Amount: $30,000
Interest Rate: 6% annually (0.5% monthly)
Loan Term: 5 years (60 months)
PMT = 30,000 × [0.005(1.005)^60] / [(1.005)^60 - 1]
PMT = 30,000 × [0.005 × 1.3489] / [1.3489 - 1]
PMT = 30,000 × 0.00674 / 0.3489
PMT = $580/month
Total Paid: $580 × 60 = $34,800
Total Interest: $34,800 - $30,000 = $4,800
Principal vs. Interest
How Payments are Applied:
Early in Loan:
- Most payment goes to interest
- Small reduction in principal
- Balance decreases slowly
Later in Loan:
- Most payment goes to principal
- Large reduction in principal
- Balance decreases quickly
Example: $30,000 loan at 6% for 5 years ($580/month)
Payment 1:
Beginning Balance: $30,000
Interest: $30,000 × 0.5% = $150
Principal: $580 - $150 = $430
Ending Balance: $29,570
Payment 30 (middle):
Beginning Balance: $16,456
Interest: $16,456 × 0.5% = $82
Principal: $580 - $82 = $498
Ending Balance: $15,958
Payment 60 (last):
Beginning Balance: $577
Interest: $577 × 0.5% = $3
Principal: $580 - $3 = $577
Ending Balance: $0
Types of Loans
Mortgages
Characteristics:
- Large loan amounts ($100,000-$1,000,000+)
- Long terms (15-30 years)
- Collateral: Real estate
- Interest rates: 3-8% (varies with market)
Example: $300,000 mortgage at 6% for 30 years
Monthly Payment: $1,799
Total Paid: $647,515
Total Interest: $347,515
15-Year vs. 30-Year Mortgage:
| Term | Rate | Payment | Total Interest | Total Paid |
|---|---|---|---|---|
| 30 years | 6% | $1,799 | $347,515 | $647,515 |
| 15 years | 5.5% | $2,451 | $141,282 | $441,282 |
Savings with 15-year: $206,233 in interest!
Auto Loans
Characteristics:
- Medium loan amounts ($15,000-$50,000)
- Medium terms (3-7 years)
- Collateral: Vehicle
- Interest rates: 3-10% (new cars), 4-15% (used cars)
Example: New Car Loan
Vehicle Price: $35,000
Down Payment: $5,000
Loan Amount: $30,000
Interest Rate: 5%
Term: 5 years (60 months)
Monthly Payment: $566
Total Paid: $33,960
Total Interest: $3,960
Example: Used Car Loan
Vehicle Price: $20,000
Down Payment: $2,000
Loan Amount: $18,000
Interest Rate: 8%
Term: 5 years (60 months)
Monthly Payment: $365
Total Paid: $21,900
Total Interest: $3,900
Personal Loans
Characteristics:
- Small to medium amounts ($1,000-$50,000)
- Short terms (1-7 years)
- Usually unsecured (no collateral)
- Interest rates: 6-36% (based on creditworthiness)
Example: Debt Consolidation Loan
Loan Amount: $20,000
Interest Rate: 10%
Term: 5 years (60 months)
Monthly Payment: $425
Total Paid: $25,500
Total Interest: $5,500
Compare to Credit Cards:
Credit Card Debt: $20,000 at 18%
Minimum Payment (2%): $400/month
Time to Payoff: 20+ years
Total Interest: ~$14,000+
Personal Loan: $20,000 at 10%
Monthly Payment: $425
Time to Payoff: 5 years
Total Interest: $5,500
Savings: $8,500+ in interest!
Time Saved: 15+ years!
Student Loans
Characteristics:
- Variable amounts ($5,000-$200,000+)
- Various terms (10-25 years)
- Federal vs. Private loans
- Interest rates: 3-7% (federal), 4-12% (private)
Example: Federal Student Loans
Total Debt: $50,000
Interest Rate: 5%
Term: 10 years (120 months)
Monthly Payment: $530
Total Paid: $63,641
Total Interest: $13,641
Income-Driven Repayment:
Same $50,000 at 5%
Income: $50,000/year
Family Size: 1
Payment: 10-15% of discretionary income
Monthly: ~$200-$300
Extended term: 20-25 years
Forgiveness after 20-25 years
Total paid varies with income over time
May pay more total interest but lower payments
Home Equity Loans
Characteristics:
- Secured by home equity
- Lump sum disbursement
- Fixed interest rate
- Terms: 5-20 years
- Interest rates: 5-10%
Example:
Home Value: $400,000
Mortgage Balance: $250,000
Equity: $150,000
Loan Amount (80% LTV): $70,000
Interest Rate: 7%
Term: 10 years
Monthly Payment: $813
Total Paid: $97,560
Total Interest: $27,560
Tax Deductible Interest: May be deductible if used for home improvement
Loan Costs Breakdown
Total Cost of Borrowing
Example: $25,000 personal loan at different rates and terms
Option A: 3-Year Term
Rate: 8%
Monthly: $783
Total Paid: $28,188
Total Interest: $3,188
Option B: 5-Year Term
Rate: 9%
Monthly: $519
Total Paid: $31,140
Total Interest: $6,140
Option C: 7-Year Term
Rate: 10%
Monthly: $414
Total Paid: $34,776
Total Interest: $9,776
Analysis:
- Shorter term = higher payment, less interest
- Longer term = lower payment, more interest
- Choose based on budget and total cost preference
APR vs. Interest Rate
Interest Rate:
- Cost of borrowing money
- Expressed as annual percentage
APR (Annual Percentage Rate):
- Includes interest rate PLUS fees and costs
- More accurate measure of total cost
- Allows comparison between loan offers
Example:
Loan Amount: $20,000
Interest Rate: 6%
Origination Fee: $1,000 (5%)
Other Fees: $500
Interest Rate: 6%
APR: ~7.2% (includes fees)
Fees to Consider
Common Loan Fees:
Origination Fee:
- 1-8% of loan amount
- Covers processing costs
- Often deducted from loan proceeds
Application Fee:
- $25-$500
- Cost to apply for loan
Underwriting Fee:
- $150-$500
- Cost to evaluate loan application
Appraisal Fee:
- $300-$600
- Required for mortgages/home equity loans
Title Search/Insurance:
- $500-$1,500
- Required for real estate loans
Prepayment Penalty:
- 1-5% of remaining balance
- Charged if you pay off loan early
- Not all loans have this
Late Payment Fee:
- $25-$50 per occurrence
- Charged for missed payments
Loan Term Strategies
Short-Term Loans
Advantages:
- Lower total interest paid
- Faster debt freedom
- Lower interest rates typically
Disadvantages:
- Higher monthly payments
- Less budget flexibility
- May qualify for smaller loan amount
Best For:
- Borrowers with high income
- Those wanting to minimize interest
- Short-term financing needs
Example: $30,000 at 6%
3-Year Term:
- Monthly: $913
- Total Interest: $2,868
- Total Paid: $32,868
Long-Term Loans
Advantages:
- Lower monthly payments
- More budget flexibility
- May qualify for larger loan amount
Disadvantages:
- Higher total interest paid
- Longer debt commitment
- Higher interest rates typically
Best For:
- Borrowers on tight budget
- Those needing lower payments
- Long-term investments (real estate)
Example: $30,000 at 6%
7-Year Term:
- Monthly: $438
- Total Interest: $6,792
- Total Paid: $36,792
Comparison:
3-Year: $913/month, $2,868 interest
7-Year: $438/month, $6,792 interest
Trade-off: $475/month less = $3,924 more interest
Real-World Examples
Example 1: Car Purchase Decision
Scenario:
Car Price: $35,000
Down Payment: $5,000
Loan Amount: $30,000
Options: 3-year @ 5%, 5-year @ 6%, 7-year @ 7%
3-Year @ 5%:
Monthly: $899
Total Interest: $2,364
Total Paid: $32,364
5-Year @ 6%:
Monthly: $580
Total Interest: $4,799
Total Paid: $34,799
7-Year @ 7%:
Monthly: $451
Total Interest: $7,884
Total Paid: $37,884
Decision:
- Choose 3-year if can afford $899/month (save $5,520 in interest)
- Choose 5-year for balance ($580/month)
- Avoid 7-year unless absolutely necessary (most expensive)
Example 2: Mortgage Comparison
Scenario:
Home Price: $400,000
Down Payment: $80,000 (20%)
Loan Amount: $320,000
Options: 15-year @ 5.5%, 20-year @ 5.75%, 30-year @ 6%
15-Year @ 5.5%:
Monthly: $2,612
Total Interest: $150,160
Total Paid: $470,160
20-Year @ 5.75%:
Monthly: $2,246
Total Interest: $219,040
Total Paid: $539,040
30-Year @ 6%:
Monthly: $1,919
Total Interest: $370,840
Total Paid: $690,840
Comparison:
15-Year vs 30-Year:
- Extra payment: $693/month
- Interest saved: $220,680
- Total saved: $220,680
15-year pays off in half the time for less total cost!
Example 3: Debt Consolidation
Scenario:
Current Debts:
- Credit Card A: $8,000 at 18%
- Credit Card B: $12,000 at 20%
- Personal Loan: $5,000 at 12%
Total Debt: $25,000
Average Rate: ~17.8%
Minimum Payments: ~$650/month
Time to Payoff: 20+ years
Total Interest: ~$35,000+
Consolidation Loan:
Loan Amount: $25,000
Interest Rate: 9%
Term: 5 years
Monthly Payment: $519
Time to Payoff: 5 years
Total Interest: $6,140
Savings:
- Time Saved: 15+ years
- Interest Saved: ~$28,900
- Payment: $131/month less
Refinancing
When to Refinance
Refinance Makes Sense If:
- Interest rates dropped 1%+ since original loan
- Credit score improved significantly
- Want to change loan term (shorten/lengthen)
- Switch from adjustable to fixed rate
- Remove cosigner from loan
Refinance Calculator:
Current Loan:
Balance: $20,000
Rate: 8%
Remaining: 4 years
Monthly: $488
Remaining Interest: $3,424
Refinance Offer:
Balance: $20,000
New Rate: 5%
New Term: 4 years
Monthly: $461
New Interest: $2,128
Refinance Cost: $200
Analysis:
Monthly Savings: $27
Total Interest Savings: $1,296
Net Savings (after fees): $1,096
Break-even: $200 ÷ $27 = 7.4 months
Worth it if keeping loan >8 months
Loan Amortization
Understanding Amortization
Amortization Schedule:
- Shows each payment breakdown
- Displays principal vs. interest
- Tracks declining balance
- Shows interest portion decreasing over time
Sample Schedule: $20,000 at 6% for 5 years ($387/month)
| Payment | Balance | Interest | Principal | Ending Balance |
|---|---|---|---|---|
| 1 | $20,000 | $100 | $287 | $19,713 |
| 2 | $19,713 | $99 | $288 | $19,425 |
| 3 | $19,425 | $97 | $290 | $19,135 |
| ... | ... | ... | ... | ... |
| 30 | $10,458 | $52 | $335 | $10,123 |
| ... | ... | ... | ... | ... |
| 60 | $384 | $2 | $385 | $0 |
Notice:
- Interest decreases each payment
- Principal increases each payment
- Total payment stays same
Extra Payments Impact
Adding $100/month to previous example:
Without Extra:
Monthly: $387
Time: 60 months
Total Interest: $3,220
With Extra $100/month:
Monthly: $487
Time: 48 months (12 months early!)
Total Interest: $2,576
Interest Saved: $644
Time Saved: 12 months
Key: Even small extra payments make significant difference!
Loan Qualification
Debt-to-Income Ratio (DTI)
Lenders evaluate DTI:
DTI = Monthly Debt Payments ÷ Monthly Income
Front-End DTI (Housing Expenses):
- Mortgage payment (PITI)
- HOA fees
- Should be <28% of income
Back-End DTI (All Debt):
- Housing + all debt payments
- Should be <36% (conventional), <43% (FHA)
Example:
Monthly Income: $5,000
Mortgage Payment: $1,200
Car Payment: $400
Credit Cards: $300
Student Loans: $250
Front-End DTI: $1,200 ÷ $5,000 = 24% ✓
Back-End DTI: $2,150 ÷ $5,000 = 43% ✓
Acceptable for FHA loan
Credit Score Impact
Credit Score Ranges:
Excellent: 720-850
Good: 690-719
Fair: 630-689
Poor: 300-629
Interest Rate Impact (30-Year Mortgage):
720-850: 6.0%
690-719: 6.25%
630-689: 6.75%
Below 630: 7.5-10%+
$300,000 Loan:
720 score: $1,799/month ($347,515 total interest)
690 score: $1,847/month ($364,920 total interest)
650 score: $1,946/month ($400,560 total interest)
600 score: $2,098/month ($455,280 total interest)
Difference: $299/month, $107,765 total!
How do I calculate my monthly loan payment?
Use the formula: PMT = P × [r(1+r)^n] / [(1+r)^n - 1], where P is the principal, r is the monthly interest rate, and n is the total number of payments. For example, $30,000 at 6% (0.5% monthly) for 5 years (60 months) equals $580/month.
What is the difference between APR and interest rate?
The interest rate is the cost of borrowing the principal. APR (Annual Percentage Rate) includes the interest rate PLUS other fees and costs of the loan. APR is a more comprehensive measure of loan cost and allows accurate comparison between different loan offers.
How does loan term affect total interest paid?
Longer loan terms mean lower monthly payments but significantly more total interest paid. Shorter terms have higher payments but save thousands in interest. For example, $30,000 at 6% for 3 years costs $2,868 in interest; for 7 years, it costs $6,792—more than double.
Should I choose a shorter or longer loan term?
Choose a shorter term if you can afford higher payments and want to minimize interest. Choose a longer term if you need lower monthly payments for budget flexibility. Consider both monthly cash flow and total cost when deciding.
How do I calculate how much I can afford to borrow?
Lenders typically want your total debt payments (including the new loan) to be less than 36-43% of your monthly income. Calculate your monthly income, subtract existing debt payments, and the remainder is available for the new loan payment.
What is an amortization schedule?
An amortization schedule shows how each loan payment is split between principal and interest over the loan term. Early payments are mostly interest; later payments are mostly principal. The schedule also shows the declining loan balance over time.
How do extra payments affect my loan?
Extra payments go directly to principal, reducing the balance faster and decreasing total interest paid. Even small extra payments ($50-$100/month) can shave years off a loan and save thousands in interest.
When should I refinance my loan?
Consider refinancing when interest rates drop 1%+ below your current rate, your credit score has improved significantly, you want to change your loan term, or you want to switch from adjustable to fixed rate. Calculate the break-even point to ensure savings exceed refinance costs.
What factors affect my loan interest rate?
Primary factors include credit score (higher = lower rate), loan term (shorter = lower rate), loan amount (larger = sometimes lower rate), collateral type (secured = lower rate), debt-to-income ratio (lower = lower rate), and current market rates.
How is debt-to-income ratio calculated?
DTI = Total Monthly Debt Payments ÷ Monthly Gross Income × 100%. Include mortgage/rent, car payments, student loans, credit card minimums, and other debt payments. Lenders typically want DTI below 36% for conventional loans, 43% for FHA loans.
What is the difference between secured and unsecured loans?
Secured loans are backed by collateral (home, car, etc.) and have lower interest rates because the lender can seize the collateral if you default. Unsecured loans have no collateral, higher rates, and are based solely on your creditworthiness.
Can I pay off my loan early?
Yes, most loans allow early payoff, but some charge prepayment penalties (typically 1-5% of remaining balance). Paying off early saves interest but check your loan agreement for prepayment penalties first.
Practice Examples
Example 1: Calculate Monthly Payment
Problem:
Loan Amount: $25,000
Interest Rate: 7% annually
Term: 4 years
Solution:
Monthly Rate: 0.07 ÷ 12 = 0.00583
Number of Payments: 4 × 12 = 48
PMT = 25,000 × [0.00583(1.00583)^48] / [(1.00583)^48 - 1]
PMT = 25,000 × [0.00583 × 1.311] / [1.311 - 1]
PMT = 25,000 × 0.00764 / 0.311
PMT = $614/month
Total Paid: $614 × 48 = $29,472
Total Interest: $4,472
Example 2: Compare Loan Terms
Scenario:
Loan Amount: $20,000
Rate: 6%
Options: 3-year vs. 6-year term
3-Year Term:
Monthly: $608
Total Interest: $1,888
Total Paid: $21,888
6-Year Term:
Monthly: $332
Total Interest: $3,904
Total Paid: $23,904
Trade-off: $276/month less = $2,016 more interest
Example 3: Calculate Maximum Loan Amount
Problem:
Available Monthly Payment: $500
Interest Rate: 7%
Term: 5 years
Solution:
Monthly Rate: 0.07 ÷ 12 = 0.00583
Number of Payments: 5 × 12 = 60
Payment: $500
P = PMT × [(1 + r)^n - 1] / [r(1 + r)^n]
P = 500 × [(1.00583)^60 - 1] / [0.00583(1.00583)^60]
P = 500 × [1.418 - 1] / [0.00583 × 1.418]
P = 500 × 0.418 / 0.00827
P = $25,258
Can afford to borrow ~$25,000
Related Calculators
- Loan Payoff Calculator
- Mortgage Calculator
- Auto Loan Calculator
- Interest Calculator
- Debt Consolidation Calculator
Need Help? Our loan calculator is perfect for anyone planning to borrow money or comparing loan offers. Calculate your loan payments now and make informed borrowing decisions!
Disclaimer: Loan calculator provides estimates based on inputs. Actual loan terms, rates, and payments may vary based on creditworthiness, lender policies, and market conditions. Consult lenders for accurate loan quotes.
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