# How to calculate quarterly returns from monthly?

The following monthly returns:

``````56.12%
15.00%
-2.27
``````

equal `75.46%` for the quarter.

What is the calculation to get `75.46%`?

The calculation is product.

Given monthly returns X%, Y%, Z%, quarterly return Q% is calculated as:

`Q% = ((1 + X%/100) * (1 + Y%/100) * (1 + Z%/100) - 1) * 100%`

Using the numbers from the question:

`Q% = ((1 + 56.12/100) * (1 + 15.00/100) * (1 - 2.27/100) - 1) * 100% =`

`= (1.5612 * 1.15 * 0.9773 - 1) * 100% = 75.46%`

• Is the last product of 100% needed since it is just multiplying by 1? May 5, 2019 at 14:46
• @4thSpace All those `/100` and `*100` are unnecessary. They're there just to make unit conversion explicit. 50% already equals 0.5 without them. May 5, 2019 at 15:16
• Is there a name for this type of calculation? Jan 6, 2020 at 18:03
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