General Betting Math
Bankroll Growth Calculator
Model bankroll growth using a constant percentage stake and expected win rate. Sizing reacts sharply to probability error, correlated wagers, and repeatability assumptions.
Inputs for expected ending bankroll
Enter current information for Bankroll Growth and leave unrelated adjustments outside the form.
Start with the market definition
Expected ending bankroll answers the narrow Bankroll Growth question from Starting bankroll and Number of wagers. Model bankroll growth using a constant percentage stake and expected win rate.
What each entry represents
How the formula works
For this market, the calculation uses expected bankroll compounds from expected return per wager.
Bankroll, price, and estimated edge are translated into exposure or a growth path.
The sizing rule assumes the probability estimate is credible.
Information outside the formula
On this page, use an executable price for the exact selection and stake, not an earlier screenshot or an unavailable best quote.
Within this calculation, cash, restricted credit, gross return, and net profit may require separate accounting.
Example calculation
In the current scenario, the example is a formula check rather than a recommended wager.
Starting bankroll is set to $910 for this worked case.
Number of wagers is set to 105 bets for this worked case.
Estimated win rate is set to 61.56% for this worked case.
Average decimal odds is set to 2.063 for this worked case.
Stake per wager is set to 0.94% for this worked case.
Applying the Bankroll Growth rule: expected bankroll compounds from expected return per wager. Using the changed inputs, the result is $1,187.47.
| Expected growth | $277.47 |
|---|---|
| Expected edge per wager | 27.00% |
| Stake rate | 0.94% |
The dedicated page for bankroll unit size is Bankroll Unit Size, with assumptions saved separately from Expected ending bankroll.
Before treating the gap as meaningful
A favorable average path can still contain long drawdowns.
Review sequence risk, not only ending bankroll.
When a narrow answer is unstable
Lower estimated win probability before accepting the stake or growth path.
Compare the baseline with a capped or fractional policy.
A longer losing-sequence case provides a cautious boundary.
The output is an expectation, not a path-by-path simulation.
For this comparison, review promotion terms, limits, push treatment, void rules, and whether stake is returned before comparing profit.
As a practical check, the formula cannot confirm that a matching market remains open for the intended stake.
Questions to answer before relying on the result
The calculation can combine Starting bankroll and Number of wagers, but it cannot verify where either value came from. Keep a dated source note for both inputs and mark whether each is observed, quoted, or estimated. That record is necessary if Expected ending bankroll is reviewed after participant or market conditions change.
Questions before using the result
In this model, why change only one field at a time in Bankroll Growth?
When should Bankroll Growth Calculator be recalculated?
For the saved case, which field should be tested first in Bankroll Growth?
At this stage, how should conflicting sources be handled for Bankroll Growth?
The form should be handled this way: choose dated sources that define Starting bankroll and Number of wagers for the same participant and period.