Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method
AbstractWe consider the optimal trade execution strategies for a large portfolio of single stocks proposed by Almgren (2003). This framework accounts for a nonlinear impact of trades on average market prices. The results of Almgren (2003) are based on the assumption that no shares of assets per unit of time are trade at the beginning of the period. We propose a general solution method that accomodates the case of a positive stock of assets in the initial period. Our findings are twofold. First of all, we show that the problem admits a solution with no trading in the opening period only if additional parametric restrictions are imposed. Second, with positive asset holdings in the initial period, the optimal execution time depends on trading activity at the beginning of the planning period.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1111.6826.
Date of creation: Nov 2011
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Web page: http://arxiv.org/
Other versions of this item:
- M. Marzo & D. Ritelli & P. Zagaglia, 2011. "Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method," Working Papers wp797, Dipartimento Scienze Economiche, Universita' di Bologna.
- Massmiliano, Marzo & Daniele, Ritelli & Paolo, Zagaglia, 2011. "Optimal trading execution with nonlinear market impact: an alternative solution method," MPRA Paper 35393, University Library of Munich, Germany.
- Massimiliano Marzo & Daniele Ritelli & Paolo Zagaglia, 2011. "Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method," Working Paper Series 52_11, The Rimini Centre for Economic Analysis.
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-12-13 (All new papers)
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