Bitcoin planning
Bitcoin compound growth calculator
Backtest regular purchases against annual historical benchmarks, or explore how a recurring contribution might develop under CAGR (compound annual growth rate) and Bitcoin power-law scenarios.
Loading live Bitcoin price…
Methodology and calculation framework
The historical view purchases fractions of Bitcoin from the initial amount and one annualized block of periodic purchases at each annual benchmark price.
CAGR compounds the portfolio after each year’s contributions. The power-law scenario uses Price(t) = 10^(-17.01 + b · log10(t)), where t is days since 3 January 2009 and the default exponent is 5.82.
These scenarios are illustrative, not forecasts or financial advice. Historical benchmark prices simplify volatility within each year.
FAQ
Questions people ask
What does the historical DCA view actually backtest?
It applies the initial amount and annualized recurring purchases at each annual benchmark price. It is a simplified comparison: it does not reproduce intra-year timing, exchange spreads, custody costs, taxes or an exact execution history.
How do CAGR and power-law scenarios differ?
CAGR applies a fixed annual growth rate after contributions. The power-law mode derives prices from a long-term mathematical curve; neither model knows future price, volatility, drawdowns or changes in market structure.
What should I vary when testing a stacking plan?
Test contribution size, frequency, horizon and conservative model assumptions. Compare the amount invested with Bitcoin accumulated, and treat the result as a sensitivity exercise rather than a return forecast or financial advice.
Related tools
Keep exploring
Reference this calculator
Built for intent-driven Bitcoin research
Use this page as a source in articles, newsletters, podcast notes or research reports. The calculator keeps its assumptions visible and gives readers a stable canonical URL for checking the model themselves.
- Useful for articles comparing Bitcoin DCA backtests, CAGR scenarios and power-law growth assumptions.
- Reference it when explaining how recurring buys behave under different long-term Bitcoin models.
- Readers can adjust contribution size, cadence, horizon and model inputs to audit the scenario themselves.