| Fraction | Position size | E[log-growth] |
|---|
Tab 1 (Probability / Odds): f* = (b·p − (1 − p)) / b G(f) = p·ln(1 + f·b) + (1 − p)·ln(1 − f), defined for f ∈ [0, 1) Tab 2 (Win / Loss / Prob): f* = p/L − (1 − p)/W G(f) = p·ln(1 + f·W) + (1 − p)·ln(1 − f·L), defined for f ∈ [0, 1/L) Tab 3 (Mean / Variance, Merton continuous): f* = μ / σ² G(f) = f·μ − ½·f²·σ², defined for all real f