Optimal Trading Execution with Nonlinear Market Impact: An Alternative Solution Method
We 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 execution strategy of Almgren (2003) is based on the assumption that no shares per unit of time are trade at the beginning of the period. We use a general solution method that accomodates the case of positive initial trades. Our results 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 initial trading, the optimal execution time depends on trading activity in the initial period.
|Date of creation:||Nov 2011|
|Contact details of provider:|| Postal: Piazza Scaravilli, 2, and Strada Maggiore, 45, 40125 Bologna|
Phone: +39 051 209 8019 and 2600
Fax: +39 051 209 8040 and 2664
Web page: http://www.dse.unibo.it
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jones, C.M. & Lipson, M.L., 1999. "Execution Costs of Institutional Equity Orders," Papers 99-1, Columbia - Graduate School of Business.
- BOUCEKKINE, Raouf & RUIZ-TAMARIT, Ramon, 2004.
"Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model,"
CORE Discussion Papers
2004084, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January.
- BOUCEKKINE, Raouf & RUIZ-TAMARIT, José Ramon, "undated". "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," CORE Discussion Papers RP 2003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf, BOUCEKKINE & JosÃ© R. , RUIZ-TAMARIT, 2004. "Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2004026, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Kraus, Alan & Stoll, Hans R, 1972. "Price Impacts of Block Trading on the New York Stock Exchange," Journal of Finance, American Finance Association, vol. 27(3), pages 569-588, June.
- Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
- Jones, Charles M. & Lipson, Marc L., 1999. "Execution Costs of Institutional Equity Orders," Journal of Financial Intermediation, Elsevier, vol. 8(3), pages 123-140, July.
- Robert Almgren, 2003. "Optimal execution with nonlinear impact functions and trading-enhanced risk," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(1), pages 1-18.
- Hasbrouck, Joel & Seppi, Duane J., 2001. "Common factors in prices, order flows, and liquidity," Journal of Financial Economics, Elsevier, vol. 59(3), pages 383-411, March.
When requesting a correction, please mention this item's handle: RePEc:bol:bodewp:wp797. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dipartimento Scienze Economiche, Universita' di Bologna)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.