The steady line
Each modeled purchase adds the same dollar amount. That makes cumulative contributions rise by a fixed step even when Bitcoin’s price moves sharply.
Apply an equal recurring purchase to historical BTC/USD data. The result explains past arithmetic; it does not forecast a return.
The straight line is cash contributed. The changing line values all accumulated BTC at each weekly close.
The distance between the lines changes whenever Bitcoin’s closing price changes.
Each modeled purchase adds the same dollar amount. That makes cumulative contributions rise by a fixed step even when Bitcoin’s price moves sharply.
Every BTC fraction already accumulated is revalued at the current historical close. It can move above or below cash contributed many times.
A positive gap is an unrealized historical model before costs and tax. Selling, spread, fees, withdrawal costs, and tax can reduce what remains.
For each weekly observation, the model divides the selected dollar contribution by that historical BTC/USD close. It adds the resulting BTC fractions, sums every contribution, and values the accumulated bitcoin at the final close in the selected range.
The method gives every available week the same dollar weight. It does not search for a favorable day, skip falling markets, or change the amount after a gain. That makes the rule reproducible, but real purchases rarely match one weekly closing price exactly.
Contributed is the cash the model deployed. BTC accumulated is the sum of the historical fractions. Ending value applies the last historical price to that bitcoin. Historical return is the difference between ending value and contributions, shown as a percentage of contributions.
A positive ending result can hide deep losses along the way. A negative result does not show whether a later period recovered. Change the time window to see how much a start and end date can shape the answer.
Use the table to separate calculated fields from real-world costs.
Recurring purchases spread entry points across time. They do not remove Bitcoin’s volatility, custody risks, regulation, tax duties, or the chance of permanent loss. If price falls for months, later purchases receive more BTC per dollar, but earlier contributions can remain below cost for a long period.
A lump-sum purchase has more exposure to the first entry price and more time in the market. A recurring plan keeps cash uninvested longer and uses several entry prices. Which result was better can only be known afterward. This calculator does not choose between them or recommend a purchase.
The average acquisition price divides total modeled contributions by accumulated BTC. It is not the simple average of weekly market prices. Weeks with a lower price buy more BTC with the same dollars, so those observations receive more weight in the final cost per bitcoin.
That number still excludes trading costs. A percentage fee reduces the BTC received at every purchase. A fixed fee can have an even larger effect on small recurring orders. The calculator leaves both out so the historical price rule stays visible, but a real plan should estimate them separately.
Check the service fee on small orders, withdrawal minimums, recurring-payment failures, and the custody arrangement. Decide whether purchases will stay with a custodian or move to a wallet you control. Keep records for tax reporting. None of those tasks appears in a clean historical chart, but each can change the real result.
No. It describes what one fixed rule would have done over selected historical observations. Future prices and personal costs can be different.
No. The output excludes trading fees, bid-ask spread, withdrawals, custody cost, and taxes, so it is generally more favorable than an otherwise identical real account.
Yes. Recurring buying does not place a floor under Bitcoin’s price. The accumulated position can be worth less than total contributions.
The position is revalued at each historical close. A new contribution adds BTC, but a price decline can reduce the value of every BTC fraction accumulated before it.
A recurring-purchase model applies one mechanical rule to old closes. Its result depends on the chosen dates, interval, price source, and costs left outside the model.
Two people using the same weekly amount can see very different results if their windows begin in different market regimes.
Fees, spread, payment failures, tax lots, custody moves, and behavior are excluded. Adding them can lower the ending amount and change records a person must keep.
| Output | Calculation | Useful interpretation | Main omission |
|---|---|---|---|
| Contributed | Amount × completed purchase dates | Total cash assigned by the rule | Failed or skipped payments |
| BTC accumulated | Sum of amount ÷ historical close | Units acquired in the model | Fees and spread |
| Ending value | BTC accumulated × final close | Marked value at one endpoint | Execution and tax |
| Historical return | Ending value ÷ contributed − 1 | Difference at the final date | Risk along the path |