medium · Quantitative Finance microstructure-arb

In the Almgren-Chriss framework for optimal execution, a trader faces a trade-off between permanent and temporary price impact.

If the trader increases their risk aversion λ, what is the effect on the execution trajectory?

  1. The trader will execute faster to reduce timing risk.
  2. The trader will execute more slowly to minimize market impact.
  3. The trajectory becomes perfectly linear to balance risk and cost.
  4. The risk aversion parameter only affects the terminal price, not the trajectory.

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