medium · Market Microstructure

An institutional trader must sell 500,000 shares. Using the Almgren-Chriss framework, the trader's risk aversion λ_risk is high, resulting in a κ value of 0.05.

Compared to a TWAP trajectory, how will the optimal execution of the inventory x_k behave over the 6.5-hour trading day?

  1. The execution will be front-loaded, trading more aggressively in the early periods to minimize timing risk.
  2. The execution will be back-loaded, trading more heavily near the market close to capture volume.
  3. The execution will be randomized in order to prevent parasitic traders from detecting the child orders being worked.
  4. The execution will follow a perfectly linear path, selling exactly 76,923 shares during each hour of the trading day.

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