Loan Calculator - Calculate Monthly Loan Payments | Free Loan Calculator

Calculate your monthly loan payments, total interest, and total payment with our free loan calculator. Perfect for mortgages, auto loans, and personal loans.

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?

  1. Payment Planning: Know exactly what you'll pay each month
  2. Affordability Check: Determine if a loan fits your budget
  3. Interest Comparison: Compare loan offers effectively
  4. Term Analysis: See how loan term affects total cost
  5. Amortization: Understand principal vs. interest breakdown
  6. 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:

  1. Interest rates dropped 1%+ since original loan
  2. Credit score improved significantly
  3. Want to change loan term (shorten/lengthen)
  4. Switch from adjustable to fixed rate
  5. 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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