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Measured advance rates

The ladder by moneyness, and why hedging raises it.

The same underlying, expiry and quantity. The only variable is the strike.

StrikeValueIntrinsic shareScenario lossAdvance rate
130109196%33065.7%
15072589%31352.5%
17041460%23936.5%
1822733%17828.2%
2001340%9819.7%
230400%3115.4%
shortunbounded0.0%
Twenty sixty day calls, underlying at 182.40, 42% at the money volatility, two day horizon at three standard deviations.

Reading the ladder

The advance rate falls monotonically with strike across the economically meaningful range and tracks the intrinsic share of value closely. The reading is simple: intrinsic value survives a shock, time value does not. A position that is mostly intrinsic is mostly collateral.

Hedging raises it

A long call position advancing 37.4% advances 53.8% once a protective put is added, because the worst node of the grid becomes less bad. There is no special case for hedges anywhere in the implementation.