Capital
Misallocation

The
Multiplicative
Indictment

The Causal Barbell: Part 1

How much alpha does your hedge fund need to beat the index? You supply the assumptions. The arithmetic does not negotiate.

Market — feeds every tab

Defaults

These are starting values. Move any slider; the indictment is yours.

  • 10-year hold
  • 1.5-and-20, pod-level netting on, pass-through skipped
  • ½σ² variance drag — conservative if the book is left-tailed
  • Monte Carlo seed 20260910, 10,000 shared draws
  • Cascade impact k = 0.09
  • Shiller real total returns, 1871–2023

Tab 5 · Shiller rolling windows

In 100% of 10-year windows since 1871, the fee load exceeded the hedge benefit

Windows
570
1871-02 → 2023-06
Hedged book wins
0%
Median wealth ratio
0.54×
Winning-window vol
—
Losing windows: 13%

Share of windows the hedged book won, by decade

18700%
18800%
18900%
19000%
19100%
19200%
19300%
19400%
19500%
19600%
19700%
19800%
19900%
20000%
20100%

0 of 15 decades. The cells aren't missing data — at 5% fees and 2% alpha the hedge never cleared the index.

Win rate across fee × alpha — 570 windows

Fee \ Alpha0%2%4%6%8%10%
2%
2%
13%
30%
63%
89%
99%
3%
0%
8%
20%
49%
78%
96%
4%
0%
2%
13%
30%
63%
89%
5%
0%
0%
8%
20%
49%
78%
6%
0%
0%
2%
13%
30%
63%
7%
0%
0%
0%
8%
20%
49%
8%
0%
0%
0%
2%
13%
30%

Navy ring is your current fee and alpha. Green: hedge wins ≥ half of history. Gold: some decades. Oxblood: none.

Terminal wealth ratio (hedged / unlevered) across windows

Where the long-short book won

None of the 570 10-year windows since 1871. Median terminal wealth is 0.54× the index. Losing windows ran 6.6% geometric at 13% vol. Raise alpha or cut fees in the grid — the arithmetic does not negotiate.