Guided lab · finite synthetic scenarios
How much of full Kelly should reach the portfolio? First solve the full-investment log-growth problem. Then use the fraction control as a separate exposure policy: risky weights scale together and the remainder stays in cash.
Scenario Canonical symmetric returns Comparison: weaker Asset B Failure: non-positive wealth factor
Kelly fraction: 40%
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Kelly scenario factors, full solution and fractional overlay Three scenario wealth factor boxes feed a weighted log sum. A full Kelly allocation bar is then scaled into risky assets plus cash. Scenario 1 1.025 p = ⅓ Scenario 2 1.025 p = ⅓ Scenario 3 1.020 p = ⅓ Expected log 2.3063% Full Kelly risky weights A 50% · B 50% Fractional deployment A 20% · B 20% · cash 60% Stage 1 of 4 · Validate scenario returns and probabilities. Live allocation Full Kelly A50.00%
Full Kelly B50.00%
Deployed risky40.00%
Cash60.00%
max Σₛ pₛ log(1 + rₛᵀw)
Canonical solution loaded. Fractional Kelly is applied after the full optimum.
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