medium · Quantitative Finance microstructure-arb

If the daily volatility σ of a stock increases, how does the Almgren-Chriss model suggest the optimal trading trajectory should change for a risk-averse trader?

  1. The trajectory is unchanged, since volatility enters only the variance term and not expected impact cost at all.
  2. The trader should switch entirely to passive execution using resting limit orders instead of market orders.
  3. The trader should slow down execution to let the added price noise average out over a longer horizon.
  4. The trader should accelerate execution (front-load more aggressively) to reduce exposure to the higher volatility.

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