Loan Calculator - Mathematical Calculations & Solutions

How It Works

1

Enter Loan Details

Input amount, rate, and term

2

Calculate

Apply loan payment formula

$
Get payment details

Common Examples

$200k @ 4% 30yr
Mortgage
$25k @ 6% 5yr
Auto loan
$50k @ 7% 10yr
Student loan
$10k @ 12% 3yr
Personal loan
M = P[r(1+r)ⁿ]/[(1+r)ⁿ-1]
Monthly payment formula

Loan Calculator

$

What

Calculate monthly payments, total interest, and loan costs for various loan types.

🎯

Why

Essential for financial planning, budgeting, and comparing loan options.

Applications

Mortgages, auto loans, personal loans, and business financing.

Loan Examples

Loan TypeAmountRateMonthly Payment
Mortgage (30yr)$300,0004.5%$1,520
Auto Loan (5yr)$30,0006.0%$580
Personal (3yr)$15,00010.0%$484
Student (10yr)$50,0005.5%$542

Frequently Asked Questions

1

How is the monthly payment calculated?

Using the amortization formula: M = P[r(1+r)ⁿ]/[(1+r)ⁿ-1], where P=principal, r=monthly rate, n=total payments.

2

What's included in the total interest?

Total interest is the difference between total payments over the loan term and the original principal amount.

3

How does loan term affect payments?

Longer terms mean lower monthly payments but higher total interest. Shorter terms mean higher payments but less total interest.

4

Are additional fees included?

This calculator shows principal and interest only. Additional costs like insurance, taxes, or fees are not included.

5

Can I use this for different loan types?

Yes, this calculator works for mortgages, auto loans, personal loans, and any fixed-rate installment loan.

Quick Reference

📏1 meter
3.28 feet
⚖️1 kilogram
2.2 pounds
🌡️0°C
32°F
🥤1 liter
0.26 gallon