# Applying The Fractional Kelly Criterion To Sports Betting

If you put that much into a single bet, you risk losing an enormous amount of your bankroll. Originally applied to the stock market, the Kelly Calculator quickly moved to horse betting and found its most successful use in poker. But this aggressive betting strategy can be used with any form of wagering to maximize profit based on the information at hand. We’ve also developed a Kelly formula Excel spreadsheet for 1X2 football betting. We’ve developed a Kelly Criterion formula Excel spreadsheet that you can download here.

## Kelly Criterion And Sharpe Ratio

As with most betting systems, when you understand fully how to use the Kelly Criterion for betting you will know that it’s not perfect and does not offer guaranteed returns. However, what it does do is offer a guideline to work out which bets offer value and thus what bets should be backed over others. Similarly, even if these figures are true there are other complications. If the difference between odds and probability are sufficiently large, the Kelly Criterion aggressively favours putting money on – which might not sit comfortably with the more cautious punter. If a bet is priced at 4.00 then it should have a probability of happening of 25%; however as the actual probability of Arsenal winning is given as 35% the bet on Arsenal is value even if it is unlikely to happen. However, if your appreciation of value is more instinctive and approximate, and you struggle to deal emotionally with losing runs, then some form of percentage-level staking is likely a better fit for you.

## Combining Modern Portfolio Theory And Kelly Betting?

Depending on how profitable you estimate your skill to be in a situation relative to the profit at stake should dictate approximately how much you put at risk again. It’s important to note from up above that even with these situations that are theoretically profitable for the gambler, these also aren’t situations to bet the farm so to speak. From here onward, I’m going present the same familiar Kelly Curve. The Y-axis represents the geometric growth rate, the X-axis represents leverage, and the Kelly-optimal bet lies at the highest point on the curve. In every field of application the general shape of the graph will be the same.

Approximately proportional to p-b, spread across all bets, but always lower than the sequential, one-event optimal kelly bet. Pick the sequential kelly bet if there aren’t enough bets. Where b is the implied odds and p is what you think the Need Bitsplay Develop Your very own Bitcoin Cube Circular odds are. The Kelly Criterion is the principle of bank management for value betting. This strategy allows you to determine the size of the rates depending on the bank and previous results. The second disadvantage with the Kelly Criterion is if you want to play multiple bets at the same time or combine several bets into an acca.

## What’s The Kelly Staking Formula?

You need to understand that positive value bets can still lose. There is still a risk involved, and wagering everything you have still has a 40% chance of costing you the entire bankroll. If you stick to the formula, you can always be sure that the risk you’re taking is worth the potential reward. By that logic, riskier bets will use a smaller chunk of the bankroll, even if they have positive value.

## The Kelly Criterion For Spread Bets

I searched for “turnpike” and “kelly criterion” together and I couldn’t find any examples of situations for which people had proven that the Kelly criterion was optimal even for nonlogarithmic utility functions. In order to reduce risk, many people often adopt a “Fractional Kelly” approach, where they bet some smaller percentage of the Kelly recommended size. We’ll do that here as well, simulating scenarios where we only bet half of what was recommended (2%). In most up-rounds, especially from the early stages, Kelly recommends increasing your position. In this case, Kelly suggests you should increase your position unless there is a minimal increase in the probability of success a long time after your investment .

Given the money at stake, it’s quite surprising that this problem hasn’t been solved with more depth and accuracy. Or maybe it has, and people aren’t willing to disclose it. You bet the same amount regardless of the odds and the size of the pot. By applying the Kelly criterion, you are not risking the entire pot size, but only a small fraction of it.

## Sports Betting With The Kelly Criterion System

This means that a bookmaker estimates the probability of this outcome by 45.5 percent. But the player believes that Manchester United has 55 percent chances to win the game. To find how much you should wager on heads, multiply your winning chance (0.6) by 2, and you’ll get 1.2. Subtract one from that, and your answer is you should bet 20% of your available wealth.