Life Calculator
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Compound annual growth rate

Express a change in investment value as an equivalent compounded annual rate. Use this for a holding without intermediate deposits or withdrawals.

Start with your own numbers

Editable example

An example is filled in. Replace it with your own data to calculate.

Use for an asset with no additional contributions or withdrawals during the period. Enter starting value, ending value and years held.

Enter starting value (twd), for example 100000. Use the displayed unit; replace the example with your own value.
Enter ending value (twd), for example 121000. Use the displayed unit; replace the example with your own value.
Enter years held, for example 2. Use the displayed unit; replace the example with your own value.

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Example result

Annualized return

10%

Converts the whole change into an equivalent annual compound rate. For contributions at different times, use the dated cash-flow tool.

Total gain or loss21,000 TWD

Only applies when there are no additional contributions or withdrawals during the period. If cash moves in or out, use the cash-flow return tool.

Method and scope

CAGR equals (ending value divided by starting value) raised to 1 divided by years, minus one. Both values must use the same currency and fee treatment.

CAGR is not the average of each year's actual percentage return. It does not show volatility or when gains and losses occurred.

Intermediate contributions, withdrawals or distributed cash invalidate a simple endpoint CAGR comparison. Use dated cash flows when the timing of money movements matters.

What this helps you do

Express a change in investment value as an equivalent compounded annual rate. Use this for a holding without intermediate deposits or withdrawals.

What to enter

Start with starting value (twd), then fill the other relevant fields in the units shown. The field hints explain the required format and examples.

How the calculation works

CAGR equals (ending value divided by starting value) raised to 1 divided by years, minus one. Both values must use the same currency and fee treatment.

Worked example

Growing from TWD 10,000 to TWD 12,100 in two years gives 10% CAGR. This describes the compound rate connecting the endpoints.

Understanding the answer

CAGR is not the average of each year's actual percentage return. It does not show volatility or when gains and losses occurred.

Scope and limitations

Intermediate contributions, withdrawals or distributed cash invalidate a simple endpoint CAGR comparison. Use dated cash flows when the timing of money movements matters.

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