# CAGR Calculator

### Initial value of the investment?

$### Future value of the investment?

$### Years to grow?

### Compound annual growth rate of the investment:

## About CAGR

- Compound annual growth rate (CAGR) is the best way to quantify the performance of an investment
- CAGR takes into account the additional growth generated by reinvesting dividends, interest, and capital gains
- Often people think it's enough to take the average of their yearly returns, but this generally produces an inflated number called the average annual growth rate (AAGR)
- For example, someone who has returns of 10%, 80% and 25% over three years has a CAGR of 35.27% and an AAGR of 38.33%

- The equation for calculating CAGR can be found here

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\int_{0}^{\pi}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx =\frac{22}{7}-\pi

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