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The leverage question

How much leverage would it take to beat buy & hold?

An indicator can make money and still lose to simply holding the asset. The honest way to say by how much is leverage: this setup needs 2.4× to match buy-and-hold. But leverage magnifies the drawdown too — so we publish the leverage each setup needs beside the leverage its own worst drawdown survives. When the first is bigger than the second, no amount of leverage saves it.

5.0%
beat buy & hold with no leverage
26%
could get there with leverage
26%
would be liquidated first
541,051
backtests, out-of-sample
Why the second number matters more

Take Bollinger Breakout on Brent crude. Out of sample it returns 2.9%/yr against buy-and-hold's 17.7% — so it needs 6.1× leverage to draw level. Its worst drawdown is 43%, which means an account is wiped at 2.33×. The leverage it needs is nearly triple the leverage it survives. It doesn't underperform buy-and-hold; it cannot reach it, at any leverage, ever.

That is the common case, not the exception. Across the grid the median setup needs 1.84× and survives 2.4× — a margin thin enough that a single bad run closes it.

And leverage has a rent. Holding it costs funding — roughly 10%/yr on the borrowed part. Charge that and the share of setups that beat buy-and-hold at all falls from 31% to 16%. Borrowing cost alone erases about half of what looks like an edge.

Indicator Beats B&H ↕ No leverage needed Leverage needed ↕ Leverage survived Liquidates first ↕

Out-of-sample window, minimum 10 trades, indicators with at least 50 qualifying backtests. Returns are net of 0.08% per side costs; fees scale with position size, so leverage doesn't change that. Volatility drag is not modelled, which makes every “can beat B&H” here optimistic and every “liquidates first” conservative. Hypothetical backtests — see the disclaimer.