Compounding in arbitrage betting: why the hype charts break

How compounding works

Compounding means that profits are added to the capital, so the next round earns on a larger amount. If €1,000 grows by 10% a year, you have €1,100 after one year and €1,210 after two, because the second 10% is earned on €1,100. Over long periods this effect is strong: 10% a year for 20 years turns €1,000 into about €6,727.

The same formula is used in arbitrage betting marketing: take a margin per sure bet, multiply by the number of bets, reinvest everything. The formula is right. Whether the inputs stay constant is the real question.

The naive model

A typical chart assumes something like this: a €2,000 bankroll, an average margin of 1.5% per sure bet, and a turnover of four times the bankroll per month (the money is staked, settles and is staked again). That gives 4 × 1.5% = 6% growth a month, every month:

• After 12 months: €2,000 × 1.06¹² ≈ €4,024
• After 24 months: €2,000 × 1.06²⁴ ≈ €8,098
• After 36 months: €2,000 × 1.06³⁶ ≈ €16,295

More aggressive charts assume two sure bets a day with the whole bankroll each time. At 1.5% per bet, that is 730 bets a year and €2,000 × 1.015⁷³⁰, which is more than €100 million after a single year. That alone shows something is missing.

Why the curve breaks in practice

1. Limits cap your stakes. Bookmakers restrict accounts that keep winning, often by cutting the maximum stake to a fraction of normal. In 2024 data from the UK Gambling Commission, 4.31% of active accounts had commercial restrictions, and restricted customers were much more likely to be in profit than the average customer. A larger bankroll does not help if your bookmaker only accepts €20. See bookmaker limits.
2. Opportunities do not grow with your capital. There is only a limited number of sure bets that fit your bookmakers, your sports and your time. Doubling your bankroll does not double the number of price gaps, and large stakes on soft bookmakers draw attention faster.
3. Money is tied up. Capital has to sit on several bookmaker accounts at once, plus money in open bets and in withdrawals that take days. Much of it is idle at any moment, so the real turnover per euro is lower than the chart assumes. How to spread money across accounts is covered in bankroll management.
4. Errors and failed legs happen. Odds move before the second bet, legs are voided, rules differ between bookmakers. Each mistake costs more than a typical sure bet earns, and a naive chart never has a bad month.
5. Costs and time. Software, payment fees and, in Austria, any 5% betting fee a bookmaker passes on. And every sure bet takes your time; the curve keeps rising even on days you do not work.

A constrained model

Now the same €2,000 in the model behind the calculator on our homepage, with the limits real arbitrage bettors run into:

• Two bookmakers with live odds (what an Austrian can use in our feed today): about 1.2 suitable sure bets a day, however much money you have.
• Stake per sure bet: the bankroll divided by the number of bookmakers, at most €600. From month 7 we use the month after limits: at most €200 per sure bet and fewer opportunities.
• Money tied up: a stake is tied up about 2.4 days and about 60% of the money is usable at any moment, so each euro is staked at most about 6.5 times a month.
• 1% realised margin after price moves and voided legs (listed margins are mostly 0.5–2%, many below 1%).
• The €97 subscription is paid every month and every profit is reinvested.

Assumptions: start €2,000; naive 6% a month compounded; constrained: the homepage calculator's typical month for months 1–6 and its "after limits" month from month 7, after the €97 subscription, profits reinvested. Amounts rounded. Illustrations, not a forecast. Real results vary and can be negative, for example after a voided leg.

In the first months the constrained bankroll grows a little: the margin brings about €130–140 a month and the subscription takes €97 of it. Once bookmakers limit you, the margin no longer covers the fee, about €83 goes each month, and after a year you have less than you started with. With €10,000 the picture is the same shape: with two bookmakers there are only about 1.2 suitable sure bets a day at up to €600, so most of the money sits idle, about €90 a month is added before limits, and after twelve months the bankroll is back at about €10,000. Growth is linear at best, not exponential, and it ends with the limits; the break-even maths is in is arbitrage software worth it?

Limits from month 7 are an assumption. Some people keep accounts open for years, others are limited within weeks, and more bookmakers with live odds raise the ceiling. Techniques such as rounding stakes and spreading bets help a little but do not prevent limits; see stake factoring. The point of the model is not the exact numbers, but the shape: arbitrage income is capped by the market, not multiplied by your capital.

How to read hype charts critically

• Look at the assumptions. Margin per bet, number of bets per day, share of the bankroll staked. If they are not stated, the chart cannot be checked.
• Look for limits. A model without stake caps or account restrictions does not describe arbitrage betting.
• Look for bad months. A perfectly smooth line means failed legs, voided bets and errors were left out.
• Check the axis. A logarithmic scale makes explosive growth look calm; a cut-off axis makes small growth look steep.
• Ask about time. A curve that rises without any hours of work behind it is selling passive income. Arbitrage is active work; see arbitrage betting as a side income.
• Ask who profits. Charts are often used to sell a course, a "VIP" group or a bot. Our scam guide lists the warning signs.

A realistic plan reinvests profits only up to the point where your accounts and the available sure bets can absorb them, keeps a buffer for mistakes, and treats limits as a certainty, not a risk. Bet sizing models such as the Kelly criterion are about how much to stake on uncertain bets, not a promise of growth.

FAQ

Can I double my bankroll with sure bets?

A naive model at 6% a month doubles it in about a year. In our constrained model (two bookmakers with live odds, a stake cap of €600 and limits from month 7) it does not double at all: after twelve months €2,000 has become about €1,730, less than the start. Limits cap your stakes, the number of sure bets does not grow with your capital and mistakes happen. There is no guarantee of any growth.

Why do compounding charts for arbitrage betting look so good?

They usually assume a constant margin, unlimited stakes and the whole bankroll working all the time, with no failed legs, fees or limits. Those assumptions do not hold for long in real betting.

Should I reinvest my sure-bet profits?

Only up to the amount your accounts and the available sure bets can actually use. Money beyond that sits idle on bookmaker accounts. Keep a buffer for mistakes and only bet money you can afford to lose.

What limits growth most in arbitrage betting?

Bookmaker limits. Once your stake at a soft bookmaker is cut, more capital does not increase what you can place there. The number of suitable sure bets is the second limit.

Sources

• UK Gambling Commission: Commercial restrictions by betting operators (23 July 2025)
• Kaunitz, Zhong, Kreiner (2017): Beating the bookies with their own numbers, arXiv:1710.02824 (limits on winning accounts)
• Edward O. Thorp: The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market
• Kelly, J. L. (1956): A New Interpretation of Information Rate, Bell System Technical Journal 35(4)

As of October 2026. The calculations are illustrations under the stated assumptions. Not betting, financial, legal or tax advice. 18+.

Betting involves risk, sure bets included: odds move, bets get voided and accounts get limited. Only stake money you can afford to lose. If betting stops being fun, our responsible gambling page lists free help in Austria and Germany.