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Amortization Schedule Calculator

Generate complete loan amortization schedules. Free online Amortization Schedule Calculator for financial — instant, accurate results, no signup needed.

Principal share grows; interest share shrinks each payment.
Monthly payment
$193.33
Total interest
$1,599.68
Total paid
$11,599.68

Derivation

  1. ├── 01GivenP = 10000, r = 6, n = 5
  2. ├── 02FormulaMonthly payment: Zs(t,a / 100 / 12,12 × n)
  3. ├── 03SubstituteZs(t,a / 100 / 12,12 × 5)
  4. ├── 04Compute Monthly payment$193.33
  5. ├── 05FormulaTotal interest: Zs(t,a / 100 / 12,12 × n) × n × 12-t
  6. ├── 06SubstituteZs(t,a / 100 / 12,12 × 5) × 5 × 12-t
  7. ├── 07Compute Total interest$1,599.68
  8. ├── 08FormulaTotal paid: Zs(t,a / 100 / 12,12 × n) × n × 12
  9. ├── 09SubstituteZs(t,a / 100 / 12,12 × 5) × 5 × 12
  10. └── 10Compute Total paid$11,599.68
Did you know?

Amortization comes from the Old French "amortir" — literally "to kill off" a debt over time.

§01What is

Understanding the Amortization Schedule Calculator

The Amortization Schedule Calculator computes Monthly payment from 3 inputs: loan amount ($), annual rate (%), years. Generate complete loan amortization schedules.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Amortization Schedule Calculator sits in that toolkit — it generate complete loan amortization schedules. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Monthly payment = Zs(t,a / 100 / 12,12 × n) | Total interest = Zs(t,a / 100 / 12,12 × n) × n × 12-t | Total paid = Zs(t,a / 100 / 12,12 × n) × n × 12

Where

P
Loan amount ($)
r
Annual rate (%)
n
Years
Monthly payment
Output value
Total interest
Output value
Total paid
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Loan amount ($) = 10000, Annual rate (%) = 6, Years = 5.

  1. 01Start by noting the input — Loan amount ($): 10000.
  2. 02Start by noting the input — Annual rate (%): 6.
  3. 03Start by noting the input — Years: 5.
  4. 04Substitute these values into the formula: Monthly payment = Zs(t,a / 100 / 12,12 × n) | Total interest = Zs(t,a / 100 / 12,12 × n) × n × 12-t | Total paid = Zs(t,a / 100 …
  5. 05Compute Monthly payment: the calculator returns 193.328.
  6. 06Compute Total interest: the calculator returns 1599.68.
  7. 07Compute Total paid: the calculator returns 11599.7.
  8. 08Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Amortization Schedule Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Loan amount ($) halved

P = 5000 (from 10000)

Keep every other input at its default and halve the loan amount ($). See how monthly payment responds.

  1. 01New Loan amount ($): 5000
  2. 02Baseline Monthly payment: 193.328
  3. 03New Monthly payment: 96.664
  4. 04Monthly payment decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Loan amount ($) doubled

P = 20000 (from 10000)

Keep every other input at its default and double the loan amount ($). See how monthly payment responds.

  1. 01New Loan amount ($): 20000
  2. 02Baseline Monthly payment: 193.328
  3. 03New Monthly payment: 386.656
  4. 04Monthly payment increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Annual rate (%) halved

r = 3 (from 6)

Keep every other input at its default and halve the annual rate (%). See how monthly payment responds.

  1. 01New Annual rate (%): 3
  2. 02Baseline Monthly payment: 193.328
  3. 03New Monthly payment: 179.687
  4. 04Monthly payment decreases by 7.1% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Annual rate (%) doubled

r = 12 (from 6)

Keep every other input at its default and double the annual rate (%). See how monthly payment responds.

  1. 01New Annual rate (%): 12
  2. 02Baseline Monthly payment: 193.328
  3. 03New Monthly payment: 222.444
  4. 04Monthly payment increases by 15.1% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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