PolyOddsTools
Calculator

Bankroll Calculator

Estimate disciplined unit sizing and Kelly-based exposure from your bankroll, odds, and probability estimate.

One unit$10
Kelly fraction8.36%
Kelly stake$83.64
Half-Kelly stake$41.82

Method

How it works

The calculator shows a fixed unit size and a Kelly-based stake. Kelly sizing uses odds and estimated probability to find a theoretical growth-maximizing fraction; half-Kelly reduces that exposure to account for estimation error and volatility.

How to use this calculator

  1. 1Enter the bankroll reserved for this activity.
  2. 2Set a fixed unit percentage for simple sizing.
  3. 3Enter decimal odds and your estimated probability.
  4. 4Compare fixed-unit, full-Kelly, and half-Kelly outputs before applying a personal cap.

Educational example

Fractional Kelly example

With a $1,000 bankroll, decimal odds of 2.00, and a 55% estimated probability, full Kelly is 10%.

Half Kelly is 5%, or $50. A small probability error can materially change this result, so conservative caps remain important.

Common use cases

Standardize units

Express decisions as a stable percentage of bankroll.

Limit model confidence

Use fractional Kelly to reduce sensitivity to probability error.

Review concentration

Compare one proposed stake with total portfolio exposure.

Limitations

Kelly assumes a reliable probability estimate, known payout, repeatable opportunities, and a long time horizon. Drawdowns can still be severe, and a bankroll should never include money needed for essential expenses.

Frequently asked questions

What is a betting unit?

A unit is a fixed fraction of a dedicated bankroll used to compare stake sizes consistently.

Why use half Kelly?

It reduces volatility and the damage caused by overconfident probability estimates.

Can Kelly recommend zero?

Yes. When the entered assumptions do not show an edge, the Kelly fraction is zero or negative.