Free mixed-format stake splitter
Dutching calculator for equal-return stakes
Split one fixed stake across two to six listed selections so each winner has approximately the same gross return. Enter Decimal, American, Fractional, Hong Kong, Malay or Indonesian prices, then compare each allocation, the selected book share and potential profit or loss. The tool does not fetch live Luckly.gg odds, recommend a shortlist or guarantee a return.
Equal-return split across 3 selections
| Listed selection | Decimal | Implied share | Allocated stake | Gross return |
|---|---|---|---|---|
| Selection A | 3.50 | 28.57% | $9.09 | $31.82 |
| Selection B | 5.00 | 20.00% | $6.36 | $31.82 |
| Selection C | 7.00 | 14.29% | $4.55 | $31.82 |
This is marked as a shortlist. If any unlisted outcome wins, the total listed stake normally loses; the positive figure above is not a guaranteed market-wide profit. Display-currency rounding can also move the practical returns by a minor unit.
How equal-return Dutching works
Convert every listed price to decimal odds and calculate its inverse. Add those inverses to get the selected book share. Each selection receives the same fraction of the total stake as its inverse contributes to that sum. Shorter prices therefore receive more stake, while longer prices receive less, and every listed winner has the same theoretical gross return before rounding.
| Measure | Formula | What it means |
|---|---|---|
| Inverse sum | Σ (1 ÷ decimal odds) | Selected book share as a decimal |
| Stake per selection | Total stake × (1 ÷ odds) ÷ inverse sum | Inverse-odds allocation |
| Equal gross return | Total stake ÷ inverse sum | Return if one listed selection wins |
| Potential result | Equal gross return − total stake | Profit or loss across listed winners |
A shortlist is not complete market coverage
The peer-reviewed Dutching result applies when one of the backed outcomes occurs. It does not make an omitted outcome disappear. If three runners are entered from a ten-runner field, the calculated equal return applies only when one of those three wins. An unlisted winner normally loses every listed stake.
A selected book share below 100% therefore does not prove arbitrage unless the list truly covers every mutually exclusive outcome and every price can be accepted at the calculated stake. A complete list above 100% equalizes a loss. Market movement, minimum stakes, maximum stakes, dead heats, voids and settlement deductions can all change the practical result.
Use stake splitting as arithmetic, not a reason to spend more
- Set one affordable total stake before entering any selection.
- Never add an outcome merely to create the feeling of safety.
- Confirm every selection belongs to the same mutually exclusive market.
- Recalculate after any price move, rejection, limit or rule change.
- Do not borrow, chase a loss or treat coverage as a prediction.
Portfolio formula and limits: Axén and Cortis, “Hedging on Betting Markets,” Risks 8(3), 88, especially the Dutching cash-flow result. Odds-format source: CGMBet System User Guide, sections 16.8–16.9.
Dutching calculator questions
What does a Dutching calculator do?
It divides one total stake across several listed selections in inverse proportion to their decimal odds. If one listed selection wins at the entered price, each allocation has approximately the same gross return before rounding and settlement adjustments.
How is each Dutching stake calculated?
Convert every listed price to decimal, add their inverse odds, then multiply the total stake by each selection's inverse odds divided by that sum. The equal gross return is the total stake divided by the inverse-odds sum.
Does Dutching guarantee a profit?
No. If an unlisted outcome wins, the listed stakes normally lose. Even when every possible outcome is entered, prices can move, selections can be rejected, stake limits and rounding can apply, and a book total above 100% produces an equalized loss rather than a profit.
Why can the calculator show a negative result?
When the selected book share is above 100%, the equal gross return is lower than the total stake. Entering more low-priced outcomes can therefore equalize a loss across the listed winners rather than create value.
Does this calculator use live Luckly.gg odds?
No. It performs arithmetic only on the figures entered. It does not fetch a Luckly.gg market, check whether multiple singles are accepted, confirm availability, or recommend selections.