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A model of optimal portfolio selection under liquidity risk and price impact

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Author Info

  • Vathana Ly Vath

    ()

  • Mohamed Mnif

    ()

  • Huyên Pham

    ()

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s00780-006-0025-1
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    Bibliographic Info

    Article provided by Springer in its journal Finance and Stochastics.

    Volume (Year): 11 (2007)
    Issue (Month): 1 (January)
    Pages: 51-90

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    Handle: RePEc:spr:finsto:v:11:y:2007:i:1:p:51-90

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    Web page: http://www.springerlink.com/content/101164/

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    Related research

    Keywords: Portfolio selection; Liquidity risk; Impulse control; State constraint; Discontinuous viscosity solutions; 93E20; 91B28; 60H30; 49L25; G11;

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    References

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    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.:
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    1. Domenico Cuoco & Jaksa Cvitanic, . "Optimal Consumption Choices for a "Large" Investor," Rodney L. White Center for Financial Research Working Papers 04-96, Wharton School Rodney L. White Center for Financial Research.
    2. Andrew J. Morton & Stanley R. Pliska, 1995. "Optimal Portfolio Management With Fixed Transaction Costs," Mathematical Finance, Wiley Blackwell, vol. 5(4), pages 337-356.
    3. E. Platen & M. Schweizer, 1997. "On Feedback Effects from Hedging Derivatives," SFB 373 Discussion Papers 1997,83, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    4. Kallal, Hedi & Jouini, Elyès, 1995. "Martingales and arbitrage in securities markets with transaction costs," Economics Papers from University Paris Dauphine 123456789/5630, Paris Dauphine University.
    5. Dimitri Vayanos, 1998. "Transaction costs and asset prices : a dynamic equilibrium model," LSE Research Online Documents on Economics 451, London School of Economics and Political Science, LSE Library.
    6. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, vol. 66(1), pages 178-197, June.
    7. RØdiger Frey, 1998. "Perfect option hedging for a large trader," Finance and Stochastics, Springer, vol. 2(2), pages 115-141.
    8. Cadenillas, Abel & Zapatero, Fernando, 1999. "Optimal Central Bank Intervention in the Foreign Exchange Market," Journal of Economic Theory, Elsevier, vol. 87(1), pages 218-242, July.
    9. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
    10. Hua He & Harry Mamaysky, 2001. "Dynamic Trading Policies With Price Impact," Yale School of Management Working Papers ysm244, Yale School of Management, revised 01 Jan 2002.
    11. Andrew W. Lo & Harry Mamaysky & Jiang Wang, 2001. "Asset Prices and Trading Volume Under Fixed Transactions Costs," NBER Working Papers 8311, National Bureau of Economic Research, Inc.
    12. repec:fth:inseep:9513 is not listed on IDEAS
    13. Ajay Subramanian & Robert A. Jarrow, 2001. "The Liquidity Discount," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 447-474.
    14. Back, Kerry, 1992. "Insider Trading in Continuous Time," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
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    Citations

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    Cited by:
    1. Seydel, Roland C., 2009. "Existence and uniqueness of viscosity solutions for QVI associated with impulse control of jump-diffusions," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3719-3748, October.
    2. Stefano Baccarin & Daniele Marazzina, 2013. "Portfolio Optimization over a Finite Horizon with Fixed and Proportional Transaction Costs and Liquidity Constraints," Working papers 017, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    3. Fabien Guilbaud & Mohamed Mnif & Huy\^en Pham, 2010. "Numerical methods for an optimal order execution problem," Papers 1006.0768, arXiv.org.
    4. Forsyth, P.A. & Kennedy, J.S. & Tse, S.T. & Windcliff, H., 2012. "Optimal trade execution: A mean quadratic variation approach," Journal of Economic Dynamics and Control, Elsevier, vol. 36(12), pages 1971-1991.
    5. Alexandre Roch, 2011. "Liquidity risk, price impacts and the replication problem," Finance and Stochastics, Springer, vol. 15(3), pages 399-419, September.
    6. Takashi Kato, 2009. "An Optimal Execution Problem with Market Impact," Papers 0907.3282, arXiv.org, revised Jun 2014.
    7. Bruder, Benjamin & Pham, Huyên, 2009. "Impulse control problem on finite horizon with execution delay," Stochastic Processes and their Applications, Elsevier, vol. 119(5), pages 1436-1469, May.
    8. Stefano Baccarin, 2013. "Optimal Consumption of a Generalized Geometric Brownian Motion with Fixed and Variable Intervention Costs," Working papers 021, Department of Economics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    9. Baccarin, Stefano, 2009. "Optimal impulse control for a multidimensional cash management system with generalized cost functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 198-206, July.

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