In a market with price impact proportional to a power of the order flow, we find optimal trading policies and their implied performance for long-term investors who have constant relative risk aversion and trade a safe asset and a risky asset following geometric Brownian motion. These quantities admit asymptotic explicit formulas up to a structural constant that depends only on the curvature of the price impact function. Trading rates are finite as with linear impact, but are lower near the target portfolio, and higher away from the target. The model nests the square-root impact law and, as extreme cases, linear impact and proportional transaction costs.

Guasoni P, Weber MH (2020). Nonlinear price impact and portfolio choice. MATHEMATICAL FINANCE, 30(2 (April)), 341-376 [10.1111/mafi.12234].

Nonlinear price impact and portfolio choice

Guasoni P
Co-primo
;
2020

Abstract

In a market with price impact proportional to a power of the order flow, we find optimal trading policies and their implied performance for long-term investors who have constant relative risk aversion and trade a safe asset and a risky asset following geometric Brownian motion. These quantities admit asymptotic explicit formulas up to a structural constant that depends only on the curvature of the price impact function. Trading rates are finite as with linear impact, but are lower near the target portfolio, and higher away from the target. The model nests the square-root impact law and, as extreme cases, linear impact and proportional transaction costs.
2020
Guasoni P, Weber MH (2020). Nonlinear price impact and portfolio choice. MATHEMATICAL FINANCE, 30(2 (April)), 341-376 [10.1111/mafi.12234].
Guasoni P; Weber MH
File in questo prodotto:
File Dimensione Formato  
nonlinear_final.pdf

Open Access dal 01/12/2021

Descrizione: AAM
Tipo: Postprint
Licenza: Licenza per Accesso Aperto. Altra tipologia di licenza compatibile con Open Access
Dimensione 998.39 kB
Formato Adobe PDF
998.39 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/855689
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 9
social impact