Capital Allocation Model
The Kelly criterion is a mathematical formula developed by John L. Kelly Jr. (Bell Labs, 1956) that determines the theoretically optimal research allocation fraction across a series of independent events with known probability estimates and market pricing, in order to maximize logarithmic growth over the long term.
In quantitative probability research, this formula computes the model-implied optimal allocation fraction based on the model's estimated probability and the market-implied odds. The output (f*) is presented as a percentage of the user-defined research capital.
Practical consideration: Full Kelly is volatility-heavy. Quantitative researchers typically use 25–50% Kelly (fractional Kelly) to reduce variance and drawdowns in real-world model-deployment.
This tool is provided exclusively for educational and analytical illustration of probability theory and capital allocation models. It does not constitute financial advice, wagering advice, or a recommendation to place any bet, transaction, or investment. Outputs are mathematical projections derived from user inputs — not guarantees of future returns. Users should consult qualified professionals before making any financial decisions, and should be aware that all forms of speculative activity carry the risk of capital loss.