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Quantitative Finance · Begrippenlijst

Wat is Avellaneda–Stoikov model?

Ook bekend als: Avellaneda--Stoikov model

Definition 3.2 Market Making and High-Frequency Trading · Hoofdstuk 3 — Inventory Models

The Avellaneda–Stoikov model is the market maker’s problem with an arithmetic Brownian mid, exponential fill intensities, a horizon TT and an exponential utility of terminal wealth: the market maker chooses δtb,δta\delta^b_t,\delta^a_t to maximise E[−exp⁡(−γ (XT+qTST))]\E\bigl[-\exp\bigl(-\gamma\,(X_T+q_TS_T)\bigr)\bigr], with γ>0\gamma>0 its risk aversion.

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