Staking Plans

The Kelly Criterion


Talk to most successful gamblers and one of the fundamental factors which they believe separates them from losing punters is money management. Losing runs happen to everyone however good you are so it is important to have a staking plan that means that your bankroll is not wiped out when these inevitable losing runs occur.

So how much should you stake on each selection? The Kelly Criterion could be the answer.

John Kelly came up with his formula in 1956, and it is now seen as the optimal way to use your money most effectively at the same time as protecting your initial bankroll. So what is the Kelly Criterion and do you calculate it?
In simple terms it works like this:

1, Work out the chance, in % terms, that you think the horse has of winning;
2, Multiply this by the horse’s chance according to its actual odds;
3, Subtract the probability, again in % terms, you believe the horse has of losing; and
4, Divide the result of the above by the horse’s actual odds.

The result is the % of your betting capital you should risk.
This can also be expressed as: (((X*Z) – Y )/Z) = % of bank risked, where X is the % chance of success, Y is the % chance of failure (equal to 100 minus X), and Z is the horse’s actual fractional odds (or decimal odds minus one).

In an example in which you think a horse should be 6 to 4 (40% chance of winning) and its odds are 5/2 (or 2.5 decimally), the equation gives you (((40*2.5) – 60)/2) = 16% of your bank.
If you want to set up a spreadsheet to calculate this for you, the spreadsheet would look like this:




Some betting syndicates which have multi million pound bankrolls use a proportion of the suggested stake. For instance the Bill Benter Hong Kong Betting syndicate who are massively successful are known to use “Half-Kelly”, It is mathematically sub-optimal but seemingly a sensible ploy in reality.

Nonetheless, the basic principle of the Kelly Criterion is that you should stake according to the edge you have and the likelihood of the event occurring is sound and that should be the basis of any bankroll betting decisions you make. Also the fact that you are only ever using a percentage of your bankroll means that you are never going to completely exhaust all your money!
<body bgcolor="#ccff99"> <center> <font color="#006666" face="Arial,Helvetica,Geneva,Swiss,SunSans-Regular">The Kelly Criterion is a mathematical formula used to determine the optimal size of a bet or investment based on the perceived edge and odds available, helping bettors and investors maximise long-term growth while managing risk. Developed by John L. Kelly Jr. in 1956, the Kelly Criterion calculates the ideal percentage of a bankroll to stake by weighing the probability of winning against the odds offered, ensuring that positions are neither too aggressive (risking ruin) nor too conservative (leaving profit on the table). Widely used in sports betting, trading, and portfolio management, the Kelly Criterion formula is expressed as f = (bp - q) / b, where f is the fraction of the bankroll to wager, b is the net odds received, p is the probability of winning, and q is the probability of losing. Many professional bettors and investors apply a fractional Kelly strategy — staking a percentage of the full Kelly recommendation — to smooth out variance while still benefiting from the criterion's edge-maximising logic. Understanding and correctly applying the Kelly Criterion can be a powerful tool for anyone looking to grow their bankroll systematically over time, provided they have an accurate estimate of their true winning probability.</font></center> </body>