자금 관리 가이드

레크리에이션 베터와 수익성 있는 베터를 구분하는 기술

Why Bankroll Management Matters

You can have a genuine +3% edge on every bet and still go broke. How? By overbetting. If you stake 20% of your bankroll per bet with a 50% win rate, a run of 5 consecutive losses (which happens 3.1% of the time) wipes out 67% of your bankroll. A run of 10 losses (0.1% probability — roughly once per 1,000 bet sequences) destroys 89%.

Bankroll management solves this by setting stake sizes that balance growth rate against ruin risk. The math is settled: the Kelly Criterion, published by John Kelly at Bell Labs in 1956, provides the mathematically optimal staking formula. Every professional bettor and quantitative fund uses some variant of it.

67%
Loss after 5 bad bets at 20% stakes
10%
Loss after 5 bad bets at 2% stakes
1–3%
Recommended stake per bet

Flat Staking vs Proportional Staking

There are two fundamental approaches to sizing your bets:

Flat stakingmeans betting the same dollar amount on every wager. If your unit is $10, every bet is $10 regardless of your bankroll size or perceived edge. It's simple, eliminates emotional sizing decisions, and limits errors. The downside: it doesn't adapt — if your bankroll doubles, you're under-betting; if it halves, you're over-betting relative to bankroll.

Proportional staking means betting a fixed percentage of your current bankroll. If your rule is 2% and your bankroll is $1,000, you bet $20. If your bankroll grows to $1,500, your bet increases to $30. If it drops to $700, your bet decreases to $14. This automatically scales with your bankroll and makes it mathematically impossible to go to zero (since you're always betting a fraction of what remains).

FeatureFlat StakingProportional Staking
SimplicityVery simpleRequires recalculation
Adapts to bankrollNoYes, automatically
Can go to zero?Yes (if enough losses)Mathematically impossible
Growth rateLinearExponential (compounds)
Best forBeginners, recreational bettorsSerious bettors with accurate edge estimates

Our recommendation:Start with flat staking at 1–2% of your initial bankroll. Switch to proportional staking once you've verified a positive edge over 500+ bets.

The Kelly Criterion Formula

Kelly Criterion calculates the optimal fraction of your bankroll to stake on a bet given your edge and the odds:

Kelly % = (b × p − q) / b

b= decimal odds − 1 (the profit multiplier)

p = your estimated probability of winning

q= 1 − p (probability of losing)

Worked Example

You estimate a team has a 55% chance of winning at decimal odds of 2.00:

b = 2.00 − 1 = 1.00

p = 0.55, q = 0.45

Kelly = (1.00 × 0.55 − 0.45) / 1.00 = 0.10 = 10%

Full Kelly says bet 10% of bankroll. On a $1,000 bankroll, that's $100.

But 10% per bet is aggressive. This is where fractional Kelly enters.

Full Kelly vs Fractional Kelly

Full Kelly maximizes the long-term growth rate of your bankroll. But it also produces stomach-churning drawdowns. In practice, professionals use a fraction of the Kelly stake:

Kelly FractionStake (from example)Growth RateMax DrawdownBest For
Full (1.0×)$100Maximum50–80%Theory only — no one should use this
Half (0.5×)$5087.5% of full30–50%Aggressive professionals
Quarter (0.25×)$2575% of full15–25%Most recommended — best risk/reward balance
Eighth (0.125×)$12.5056% of full8–15%Very conservative, beginners

Quarter Kelly is the sweet spot.You sacrifice only 25% of the maximum growth rate but reduce drawdowns by ~75%. On a $1,000 bankroll with a 10% full Kelly bet, quarter Kelly means $25 per bet — a comfortable 2.5% of bankroll.

Use our EV & Kelly calculator to compute Kelly stakes for any edge, odds, and bankroll size.

Dealing with Variance and Drawdowns

Even with a genuine edge, losing streaks are inevitable. Here's what to expect:

Win RateLongest Expected Losing Streak (per 1,000 bets)Drawdown at 2% Stakes
55%11–13 losses in a row−22% to −26%
52%13–16 losses in a row−26% to −32%
50%15–18 losses in a row−30% to −36%

A 55% bettor placing 1,000 bets will almost certainly experience a 10+ bet losing streak at some point. At 2% flat stakes, that's a 20%+ drawdown. This is normal, not a sign that your strategy is broken.

Rules for surviving drawdowns:

1. Never increase stakes to recover faster.This is the martingale fallacy. If your edge is real, normal-sized bets will recover the drawdown over time. If your edge isn't real, bigger bets accelerate your ruin.

2. If using proportional staking, your stakes automatically decrease. This is a feature, not a bug. Smaller bets during drawdowns preserve capital for recovery.

3. Review your CLV, not your P&L.If your closing line value is still positive during the drawdown, your strategy is working — variance just hasn't caught up yet. If your CLV has turned negative, something has changed and you should pause.

4. Set a hard stop. If your bankroll drops below 50% of peak, reduce stakes to minimum and review your entire approach. This could be variance, but it could also mean your edge has disappeared (bookmaker adjusted lines, model became stale, etc.).

When to Increase or Decrease Unit Size

Increase units when:your bankroll has grown by 50%+ and you're using flat staking. Recalculate your unit to 1–2% of the new, higher bankroll. If using proportional staking, this happens automatically.

Decrease units when:your bankroll drops 25%+ from peak. Resize to 1–2% of your current (reduced) bankroll. This protects remaining capital.

Never change units because:you "feel confident" about a specific bet, you want to win back recent losses, or a tipster said a pick is a "lock". Emotional staking overrides are the number one bankroll killer.

Common Bankroll Management Mistakes

MistakeConsequenceFix
Staking 10%+ per bet5 consecutive losses = 41%+ drawdown. 10 losses = 65%+. Ruin is likely.Cap at 1–3% per bet. Use quarter Kelly maximum.
No bankroll separationBetting from your checking account means no clear limit. Losses feel abstract until overdraft.Dedicate a specific amount as bankroll. Track it separately from personal finances.
Using full Kelly50%+ drawdowns. One wrong probability estimate can wipe 20% of bankroll in a single bet.Use quarter Kelly. Still captures 75% of growth with 75% less drawdown.
Tilting after lossesEmotional decisions → larger stakes, worse picks, faster ruin.Pre-commit to staking rules. If you feel the urge to deviate, stop betting for 24 hours.
Ignoring margin in Kelly calcOverestimates edge by 2–8%, leading to 2–8% too-large stakes on every bet.Use fair (margin-removed) odds to estimate p, not raw bookmaker odds.

FAQ

켈리 기준이란?

켈리 기준은 엣지와 배당에 따라 최적의 베팅 사이즈를 계산하는 공식입니다. Kelly % = (bp - q) / b, 여기서 b = 소수점 배당 - 1, p = 승리 확률, q = 1 - p. 장기적 자금 성장을 극대화합니다.

풀 켈리와 프랙셔널 켈리 중 무엇을 써야 하나요?

프랙셔널 켈리(일반적으로 1/4 또는 1/2 켈리)를 사용하세요. 풀 켈리는 수학적으로 최적이지만 극단적인 변동성을 유발합니다. 하프 켈리는 성장률을 25% 줄이지만 변동성을 50% 줄입니다. 대부분의 프로 베터는 쿼터 켈리를 사용합니다.

자금 규모는 얼마여야 하나요?

플랫 스테이킹은 최소 50-100 유닛, 켈리 스테이킹은 200+ 유닛. 유닛은 표준 베팅 금액입니다. 베팅당 $20이면 자금은 $1,000-4,000이어야 합니다.

가장 큰 자금 관리 실수는?

손실 추격 — 연패 후 빨리 회복하려고 베팅 사이즈를 늘리는 것. 이는 변동성을 증폭시키고 자금을 전부 잃을 수 있습니다. 최근 결과와 관계없이 스테이킹 계획을 고수하세요.

연패를 어떻게 관리하나요?

켈리 또는 비례 스테이킹을 사용하면 자금이 줄어들면서 베팅 사이즈가 자동으로 감소합니다 — 이것이 내장된 보호 기능입니다. 절대 손실을 만회하려고 판돈을 늘리지 마세요. 베팅 사이즈가 아닌 엣지 계산을 점검하세요.