risk management

Kelly criterion

A mathematical formula for determining the optimal size of a series of bets or investments to maximize long-term wealth growth while minimizing risk of ruin.

Example

The Kelly criterion suggested betting 25% of capital on an investment with 60% win probability — but many practitioners use half-Kelly for safety.

Memory Tip

KELLY CRITERION = the math of optimal bet sizing. Bet too much = ruin. Too little = slow growth.

Why It Matters

The Kelly criterion helps investors and traders determine how much of their capital to risk on each opportunity, which is crucial for long-term wealth building. By balancing aggressive growth with protection against catastrophic losses, it provides a mathematical framework that prevents people from betting too much on any single investment and losing their entire portfolio.

Common Misconception

Many people believe the Kelly criterion tells you which investments to make, but it actually only determines how much money to allocate once you have already identified a favorable opportunity. Another mistake is assuming the formula produces a precise answer that works perfectly in real markets, when in reality it requires accurate probability estimates that are difficult to obtain.

In Practice

Suppose you have a trading strategy with a 55 percent win rate earning two dollars per win and losing one dollar per loss. The Kelly criterion formula calculates you should risk 10 percent of your bankroll on each trade, meaning if you have ten thousand dollars, you would place one thousand dollar bets. This approach theoretically maximizes growth while keeping your account from being completely depleted by a string of losses.

Etymology

Developed by John L. Kelly Jr. at Bell Labs in 1956 for information theory, later applied to gambling and investing.

Common Misspellings

Kelly-criterionKelly criteronKelly critrion
Sponsored · Risk

Protect your assets with the right insurance

Compare quotes

Related Terms

position sizingRisk Management

More in risk management

Other risk management terms you should know

hedgingMaking an investment to reduce the risk of adverse price movhedgeAn investment made to reduce the risk of adverse price moveminterest rate riskThe risk that changes in interest rates will negatively affecounterparty riskThe risk that the other party in a financial transaction wilsystemic riskThe risk of collapse of an entire financial system or marketliquidity riskThe risk that an asset cannot be sold quickly enough to prev

See Also

expected valuegambling theory
Also from the same team

Need financial definitions?

Clear definitions for 2,500+ finance, insurance, and investing terms.

MoneyTerms.app

Want to understand Kelly criteria better? Get Kelly criteria tips and new terms in your inbox.