How to calculate CAGR of position with multiple orders?


Suppose I bought:

  1. Stock X, 10 shares on 01-01-2023 at USD 40/share

  2. Stock X, 15 shares on 01-01-2024 at USD 50/share

  3. Stock X, 20 shares on 01-07-2024 at USD 60/share

Today, the stock price is 55 USD/share.

I can calculate CAGR of individual trade. But, how do I calculative effective CAGR on the whole position?

Suppose cagr1, cagr2, cagr3 is CAGR and val1, val2, val3 is current value for individual trades.

What if I do ((cagr1 * val1 + cagr2 * val2 + cagr3 * value3) / (val1+val2+val3))

What it will be called? Is it equally useful metric like XIRR?


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