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CAGR Calculator

Compound Annual Growth Rate calculator. Free online CAGR Calculator. Calculate cagr online — fast, accurate, mobile-friendly, no signup needed.

CAGR
13.9852%

Derivation

  1. ├── 01Givenbv = 10000, ev = 25000, n = 7
  2. ├── 02Formula100 × ((a / t)^(1 / n)-1)
  3. ├── 03Substitute100 × ((a / t)^(1 / 7)-1)
  4. └── 04Compute CAGR13.985228
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§01What is

Understanding the CAGR Calculator

The CAGR Calculator computes CAGR from 3 inputs: beginning ($), ending ($), years. Compound Annual Growth Rate calculator.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The CAGR Calculator sits in that toolkit — it compound Annual Growth Rate calculator. 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

100 × ((a / t)^(1 / n)-1)

Where

bv
Beginning ($)
ev
Ending ($)
n
Years
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Beginning ($) = 10000, Ending ($) = 25000, Years = 7.

  1. 01Start by noting the input — Beginning ($): 10000.
  2. 02Start by noting the input — Ending ($): 25000.
  3. 03Start by noting the input — Years: 7.
  4. 04Substitute these values into the formula: 100 × ((a / t)^(1 / n)-1)
  5. 05Compute CAGR: the calculator returns 13.9852.
  6. 06Cross-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 CAGR 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

Beginning ($) halved

bv = 5000 (from 10000)

Keep every other input at its default and halve the beginning ($). See how cagr responds.

  1. 01New Beginning ($): 5000
  2. 02Baseline CAGR: 13.9852
  3. 03New CAGR: 25.8499
  4. 04CAGR increases by 84.8% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Beginning ($) doubled

bv = 20000 (from 10000)

Keep every other input at its default and double the beginning ($). See how cagr responds.

  1. 01New Beginning ($): 20000
  2. 02Baseline CAGR: 13.9852
  3. 03New CAGR: 3.23912
  4. 04CAGR decreases by 76.8% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Ending ($) halved

ev = 12500 (from 25000)

Keep every other input at its default and halve the ending ($). See how cagr responds.

  1. 01New Ending ($): 12500
  2. 02Baseline CAGR: 13.9852
  3. 03New CAGR: 3.23912
  4. 04CAGR decreases by 76.8% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Ending ($) doubled

ev = 50000 (from 25000)

Keep every other input at its default and double the ending ($). See how cagr responds.

  1. 01New Ending ($): 50000
  2. 02Baseline CAGR: 13.9852
  3. 03New CAGR: 25.8499
  4. 04CAGR increases by 84.8% → 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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