Loan Amortization Calculator
Calculate loan amortization with payment schedule. See how extra payments save interest and reduce your payoff time. Works for any loan type.
How This Calculator Works
Calculation methodology and assumptions
Amortization uses the standard formula: PMT = P×[r(1+r)^n]/[(1+r)^n-1]. Each payment splits between interest (on remaining balance) and principal. Early payments are mostly interest; late payments are mostly principal. Extra payments go directly to principal, reducing future interest charges and shortening the loan term.
How to Use This Financial Tools Calculator
- 1
Choose your calculation type
Select what you need to calculate: percentage (percent of a number, what percent one number is of another, or percent change), or another financial tool.
- 2
Enter your values
Input the numbers you want to calculate. The calculator accepts both whole numbers and decimals. Results update instantly as you type.
- 3
Review the result
The calculator shows the answer with the formula used, so you understand the math behind the result. This helps verify calculations and learn the methodology.
- 4
Try related calculations
Explore related financial tools linked below. Percentage calculations often feed into larger financial decisions — tax rates, investment returns, discount pricing, and more.
Example Calculation
Here are common percentage calculations you might need.
(1) What is 23% of $84,500? Answer: $19,435. (2) $15,000 is what percent of $62,000? Answer: 24.19%. (3) Percent change from $45 to $52? Answer: +15.56%. These calculations appear everywhere in finance: tip calculation, tax rates, investment returns, salary increases, and discount pricing.
Result: Percentage calculations are the foundation of financial literacy. Understanding them helps you evaluate deals (is 30% off really a good discount?), calculate taxes (what you actually owe), negotiate salaries (a 5% raise on $75K is $3,750), and assess investment performance (an 8% return on $50K is $4,000). Bookmark this tool for quick reference.
What Affects Your Results
Base Value
Percentages are only meaningful relative to a base. "Sales up 50%" means very different things if the base was $1,000 (now $1,500) vs. $1,000,000 (now $1,500,000). Always ask: percent of what?
Compounding
Repeated percentage changes compound. A 7% annual return doubles your money in ~10 years (Rule of 72). A 10% loss followed by a 10% gain doesn't break even — it leaves you at 99% of the original.
Context
A 5% budget cut, 5% raise, and 5% inflation are all "5%" but have vastly different implications. The same percentage applied to different categories (housing vs. entertainment) has different real-world impact.
Precision
For most financial calculations, rounding to 2 decimal places is sufficient. Over-precision (reporting 3.14159% instead of 3.14%) implies false accuracy and complicates communication.
Tips for Loan Amortization Residents
- Quick mental math for percentages: 10% = move the decimal one place left. 5% = half of 10%. 15% = 10% + 5%. 20% = 10% x 2. Build from these anchors for any percentage.
- Percent change formula: ((New - Old) / Old) x 100. A $50 item marked up to $65 is a 30% increase. A $65 item on sale for $50 is a 23% decrease. Note: the same dollar change gives different percentages depending on direction.
- Be skeptical of percentages in marketing. "Up to 50% off" means most items are discounted less. Always look at the base numbers behind any percentage claim.
- Compound percentages don't add. Two successive 10% gains don't equal 20% — they equal 21% (1.1 x 1.1 = 1.21). This matters enormously in investment returns.
- Percentage points are not the same as percentages. Interest rate rising from 4% to 5% is 1 percentage point increase but a 25% increase in the rate itself. This distinction matters when evaluating financial news.
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StateCalc Team
Editorial Team
The StateCalc team builds free financial calculators using data from official government sources including the IRS, U.S. Census Bureau, BLS, and state revenue departments. All formulas are validated by an automated test suite and cross-referenced against published data.
Our editorial standardsFrequently Asked Questions
How does amortization work?
Amortization divides a loan into equal monthly payments. Each payment covers interest on the remaining balance plus some principal. Early in the loan, most of your payment goes to interest. Over time, more goes to principal as the balance decreases. The payment stays the same, but the interest/principal split changes.
How much do extra payments save?
On a $200,000 loan at 7% for 30 years, just $200/month extra saves approximately $95,000 in interest and pays off the loan 10 years early. Even small extra payments compound significantly over time.
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