Single-Market Dutching Formulae

Dutching is an excellent tool in the hands of an experienced trader. It can increase your chances for winning by spreading your bet evenly across several outcomes. If you happen to hear this term for the first time, here is a short description of how it works.

Dutching in a Nutshell

Instead of backing on just one outcome (a player, a horse, a score etc.) to win, you back on many different outcomes at once, expecting to gain profit if at least one of them wins. This may, for example, mean that you back on several horses in a horse race, or on several score outcomes in the Correct Score football market. The Dutching principle allows you to set the target profit you want to win in case one of your chosen selection wins, or limit the total liability of your bets in case none of them wins (but not both at once, see more of this below).

There can be Back Dutching and Lay Dutching. With Back Dutching, you place back bets on the selections (runners, teams etc.) you believe have high chances of winning. With Lay Dutching, you place lay bets on the selections that you reckon will likely lose.

Automated Dutching in MarketFeeder Pro

There are two great ways to do Dutching in MarketFeeder Pro: through the built-in Auto-Dutching experience and through triggers that place Dutching bets.

In both cases, the program will do all the math on its own, letting you simply key in your desired profit/liability and enjoy the fully automated bet placement service.

Auto-Dutching in MarketFeeder Pro

Dutching Using Triggers

See some Dutching examples in our trigger library.

Dutching Formulae

Many sites will offer you a Dutching calculator, and indeed, if you are looking for a quick solution for manual trading, a Dutching calculator is the way to go. However, if you are looking for a more serious approach to it and hoping to do your own bit of bet programming, you will need the “magic formulae.” You will appreciate that this is the only page (and I’ve done my research!) that will offer you these formulae in one place and ready to use.

The basic formulae for Dutching bet amounts are as follows:

For Backing:

If you want a target profit of PROFIT, then the amount for each bet is calculated as follows.

Amount = PAYOUT/back_price


If you want to set the maximum LIABILITY for the bets in case none of them wins, then the amount for each bet is calculated as follows.

Amount = PAYOUT/back_price


PAYOUT = LIABILITY*100/back_book

For Laying

If you want a target profit of PROFIT if none of the laid selections wins, then the amount for each bet is calculated as follows.

Amount = PAYOUT/lay_price


If you want to set the maximum LIABILITY for the bets in case one of the laid selection wins, then the amount for each bet is calculated as follows.

Amount = PAYOUT/lay_price


PAYOUT = LIABILITY*100/(100 - lay_book)

As you can see above, the Lay Dutching formulae are just the reverse version of the Back Dutching ones!

Note that you will pay a standard exchange commission (which is 5% on most markets on BetFair) on your profit.

Formulae for target profit through liability and vice versa

Here is another set of formulae you will find useful, for example, in situations when you have set a maximum liability for your Back Dutching, but also want to recoup any losses generated in the previous games. In that case, you will need to convert the target profit (the loss you need to recoup) into the maximum liability for your bets.

For Backing:

LIABILITY = back_book*(PROFIT/(100 - back_book))

PROFIT = (LIABILITY/back_book)*(100 - back_book)

For Laying:

LIABILITY = (PROFIT/lay_book)*(100 - lay_book)

PROFIT = lay_book*(LIABILITY/(100 - lay_book))

Now it becomes clear why you can set either fixed liability or fixed profit, but not both at the same time – because they are a function of each other.

Note another important thing: with high prices (above 10.0) or small target profit/max liability you are likely to get errors in the resulting P/L due to fractions of pennies dropped when rounding the size of the bet. This is normal and it should not greatly affect your winnings.

The above narrative is true for Dutching in both win and place markets: only with Dutching in place markets, you multiply the book by the number of winning places before putting it into the formulae. Besides, expect to win the target profit only if N selections you bet on are placed (not just one, as is the case in win markets), where N is the number of winning places.

The story is quite different for cross-market Dutching, as that is where commission hits hard and disrupts the standard formulae. Read more on this in Cross-Market Dutching Formulae.

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