# Fractional Kelly

> Fractional Kelly bets a portion of the full Kelly fraction to cut drawdowns and protect against overestimated edges. Learn how much to use and why.

Source: https://learn.tradelabsai.com/risk/fractional-kelly/  
Track: Risk Management · Level: Beginner · Updated: 2026-10-03  
Publisher: TradeLabs AI (https://tradelabsai.com). Education, not financial advice.  
Cite as: TradeLabs Learn, "Fractional Kelly", https://learn.tradelabsai.com/risk/fractional-kelly/

Fractional Kelly means risking only a portion of what the full Kelly criterion suggests, such as half Kelly or quarter Kelly. It is how most professional traders and gamblers who use Kelly actually apply it. The reason is simple: full Kelly maximises long term growth only if your edge estimate is exactly right, and even then it produces stomach churning drawdowns. A fraction gives up a little growth in exchange for much more safety.

## The trade off

A useful result from the mathematics of Kelly betting: betting half the Kelly fraction gives roughly three quarters of the long term growth rate of full Kelly, with far smaller swings.

| Fraction of Kelly | Approximate share of full Kelly growth rate | Volatility of results |
|---|---|---|
| 1.0 (full) | 100% | Very high |
| 0.5 (half) | About 75% | Much lower |
| 0.25 (quarter) | About 44% | Low |
| 2.0 (double) | About 0% | Extreme |

These figures come from the standard approximation that growth rate is proportional to f(2 minus f) when f is expressed as a fraction of the Kelly bet. The key insight: the growth curve is flat near the top, so stepping back from full Kelly costs little growth, while overbetting is costly.

## Why fractions protect you

### Estimation error

Your edge is never known exactly. If your true edge is half of what you estimated, then half Kelly based on your estimate is actually full Kelly for your true edge. Using a fraction builds in a buffer against optimism, which is the most common error in trading.

**Example: When the edge is overestimated**
A backtest shows a 55% win rate with wins 1.5 times losses, so full Kelly is 25%. In live trading, the true win rate turns out to be 50%. True full Kelly is then 0.50 minus 0.50 ÷ 1.5 ≈ 16.7%. A trader using full backtest Kelly (25%) is now overbetting by half again. A trader using quarter backtest Kelly (6.25%) is still comfortably below the true optimum.

### Drawdowns

Full Kelly can produce drawdowns of 50% or more even with a genuine edge. Half Kelly roughly halves typical drawdown depth. Since many traders abandon strategies during deep drawdowns, a smaller fraction makes it more likely you will stick with a good system. See [Maximum Drawdown](https://learn.tradelabsai.com/portfolio/maximum-drawdown/).

## How to apply fractional Kelly

1. **Estimate your edge conservatively:** use out of sample or live results, not the best backtest. See [In-Sample vs Out-of-Sample Testing](https://learn.tradelabsai.com/research/out-of-sample-testing/).
2. **Calculate full Kelly** from win rate and average win to loss. See [Kelly Criterion](https://learn.tradelabsai.com/risk/kelly-criterion/).
3. **Apply a fraction,** commonly 0.25 to 0.5.
4. **Cap it** at your normal maximum risk per trade, such as 1% or 2%.
5. **Recalculate periodically** as more results come in.

In practice, step 4 often dominates: many traders' fractional Kelly calculations suggest 5% or more, and their 1% or 2% cap applies instead. That is a sign the strategy has a decent edge and the trader has a healthy margin of safety.

## Fractional Kelly across many positions

When several positions are open at once, especially correlated ones, the combined risk can exceed what Kelly for a single bet suggests. Portfolio level Kelly calculations exist but depend heavily on correlation estimates. A simpler rule is to cap total open risk. See [Portfolio Heat](https://learn.tradelabsai.com/risk/portfolio-heat/) and [Correlation-Adjusted Sizing](https://learn.tradelabsai.com/risk/correlation-adjusted-sizing/).

## Common mistakes

- **Using fractional Kelly on an inflated edge** and calling it conservative.
- **Skipping the cap,** letting a large Kelly figure drive oversized trades.
- **Applying single bet Kelly to many correlated positions at once.**

## Frequently asked questions

### What is fractional Kelly?

Betting a fixed portion of the full Kelly fraction, such as half or a quarter, to reduce drawdowns and protect against overestimating your edge.

### Is half Kelly better than full Kelly?

For most real traders, yes. It keeps around three quarters of the long term growth rate with much smaller drawdowns.

### What fraction of Kelly should I use?

Many practitioners use between a quarter and a half of full Kelly, and also cap risk at a fixed maximum per trade.

Next, learn how to adjust size when positions move together in [Correlation-Adjusted Sizing](https://learn.tradelabsai.com/risk/correlation-adjusted-sizing/).

## Sources

- Wikipedia, [Kelly criterion](https://en.wikipedia.org/wiki/Kelly_criterion)

## Continue learning

- Next lesson: [Correlation-Adjusted Sizing](https://learn.tradelabsai.com/risk/correlation-adjusted-sizing/)
- Previous lesson: [Kelly Criterion](https://learn.tradelabsai.com/risk/kelly-criterion/)
- Related: [Kelly Criterion](https://learn.tradelabsai.com/risk/kelly-criterion/): The Kelly criterion finds the bet size that maximises long term growth given your edge. Learn the formula, worked examples and why most traders use less.
- Related: [Position Sizing](https://learn.tradelabsai.com/risk/position-sizing/): Position sizing decides how many shares or contracts to trade so each loss stays small. Learn the formula, worked examples for each market and common mistakes.
- Related: [Risk of Ruin](https://learn.tradelabsai.com/risk/risk-of-ruin/): Risk of ruin is the chance that losses drain your account beyond recovery. Learn what drives it, see simulated numbers and how to keep it low.
- Related: [Expectancy](https://learn.tradelabsai.com/risk/expectancy/): Expectancy is the average amount you win or lose per trade. Learn the formula, how win rate and payoff combine, expectancy in R and how to improve it.
- Related: [Maximum Drawdown](https://learn.tradelabsai.com/portfolio/maximum-drawdown/): Maximum drawdown measures the largest fall from a peak to a trough in an account or strategy. Learn how to calculate it, recovery maths, duration and how to use it.
