Published: September 24, 2024.
Last Update: June 10, 2026.
Annualized gain in investing refers to the average return on an investment over a period of time, expressed as a yearly percentage. Standardizing returns to a per-year basis allows investors to compare the performance of different investments across different time frames. This is particularly useful when the investment is held for more or less than a full year.
How It's Calculated:
Annualized gain is calculated using this formula:
Annualized Gain = (Ending Value ÷ Beginning Value) ^ (1 ÷ n) − 1
Where:
Ending Value = the value of the investment at the end of the period
Beginning Value = the initial value of the investment
n = the number of years the investment is held
Example 1
Suppose you invest $100 and it grows to $150 over 3 years.
Step 1: Calculate the total growth factor
Divide ending by beginning value: 150 ÷ 100 = 1.5
This means your investment is worth 1.5 times its original value.
Step 2: Find the annual growth factor
Because the growth occurred over 3 years, we take the cube root (raising to the 1/3 power):
1 ÷ 3 = 0.333
1.5^(0.333) = 1.1447
This means the investment effectively grew by a factor of 1.1447 every year.
Step 3: Convert the growth factor to a percentage gain.
Subtract: 1.1447 − 1 = 0.1447
Convert to a percentage: 0.1447 x 100 = 14.47% annualized gain
Example 2
Suppose you invest $100 and it grows to $150 over 6 months, which is 0.5 years.
Step 1: Calculate the total growth factor
Divide ending by beginning value: 150 ÷ 100 = 1.5
This means your investment is worth 1.5 times its original value.
Step 2: Find the annual growth factor
Because the growth occurred over 6 months, we take the cube root (raising to the 1/0.5 power):
1 ÷ 0.5 = 2
1.5^(2) = 2.25
Step 3: Convert the growth factor to a percentage gain.
Subtract: 2.25 − 1 = 1.25
Convert to a percentage: 1.25 x 100 = 125% annualized gain
Why is it so high?
A 50% gain in just 6 months is extremely strong. The annualized formula asks:
"If this same growth rate continued for a full year, what would the annual return be?"
Since there are two 6-month periods in a year:
- First 6 months: $100 → $150
- Second 6 months: $150 → $225
So after one full year: 225/100 -1 = 125%
The annualized gain is therefore 125% because the second six months compound on the gains from the first six months.
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