The maximum #bitcoin you will ever own.

Assumptions:

- You only perform DCA with a fixed amount per month in perpetuity.

- Bitcoin price follows (i.e. mean reverts to) a power law with exponent 5.7

In this case, there is a theoretical maximum amount of bitcoin you will ever own (since the sum of bitcoins bought every month forms a convergent series). If you start today (July 2024), the formula for calculating this is a*0.0006631, where a is the dollar amount you invest per month.

Below is the figure showing the same for different values of amount invested and starting time. Based on this model, if you want to reach 1 bitcoin, starting today, you will need to invest minimum 1500$ per month. In 2026, this number becomes 2300$. By 2033, even 10,000$ invested per month will never get you to 1 bitcoin. So, starting early is always better (not financial advice).