Impact, Capacity and Turnover

Spread and fees are the same whether you trade $1m or $100m. Market impact is not: your own trading moves the price against you, the move grows with your share of the volume, and at some size it consumes the alpha entirely. That size is the strategy's capacity, and estimating it honestly is what separates a research result from an investable product.

The square-root rule of thumb

The workhorse empirical model prices the impact of executing a parent order of size QQ in a name trading average daily volume VV with daily volatility σ\sigma:

impactcσQV\text{impact} \approx c \, \sigma \sqrt{\frac{Q}{V}}

with cc typically near 1 for equities. The square root is the important part: doubling the order does not double the damage, it multiplies it by 2\sqrt{2}, but impact per dollar still rises with size, which is why scaling is self-limiting. Trading 1% of daily volume in a 2%-volatility stock costs roughly 2%×0.01=202\% \times \sqrt{0.01} = 20bps of impact, versus about 6bps at 0.1% participation.

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