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Portfolio choice with small temporary and transient price impact
Author(s) -
Ekren Ibrahim,
MuhleKarbe Johannes
Publication year - 2019
Publication title -
mathematical finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.98
H-Index - 81
eISSN - 1467-9965
pISSN - 0960-1627
DOI - 10.1111/mafi.12204
Subject(s) - portfolio , market liquidity , economics , market impact , econometrics , volatility (finance) , limit (mathematics) , order (exchange) , financial economics , mathematics , monetary economics , market microstructure , mathematical analysis , finance
We study portfolio selection in a model with both temporary and transient price impact introduced by Garleanu and Pedersen. In the large‐liquidity limit where both frictions are small, we derive explicit formulas for the asymptotically optimal trading rate and the corresponding minimal leading‐order performance loss. We find that the losses are governed by the volatility of the frictionless target strategy, like in models with only temporary price impact. In contrast, the corresponding optimal portfolio not only tracks the frictionless optimizer, but also exploits the displacement of the market price from its unaffected level.