IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Portfolio choice under transitory price impact

  • Isaenko, Sergei

We consider a portfolio optimization problem for a short-term investor who faces an illiquid stock market. The illiquidity of this market results from a transitory price impact that is captured by the transaction costs that are convex in the number of shares traded by an investor. The linear component in these costs defines a no-trading zone, while the nonlinear component does not allow trading the stock at an arbitrary rate. The portfolio choice problem is solved when the stock path is continuous and when the stock may crash. We find that an economy could be in states where the conditional liquidity premium is of the same order of magnitude as the historical risk premium of the stock market. If the illiquid stock undergoes crashes, then in many states, an investor demands a premium for crashes that is much higher than that in the liquid market. Finally, we study the shape of the no-trading zone when the nonlinearity in the transitory price impact is strong or moderate. We find that this shape is significantly different from that when the transitory price impact is linear.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/B6V85-508CCPX-1/2/a20ed7db4d014c2e77a0b92392497f9f
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 11 (November)
Pages: 2375-2389

as
in new window

Handle: RePEc:eee:dyncon:v:34:y:2010:i:11:p:2375-2389
Contact details of provider: Web page: http://www.elsevier.com/locate/jedc

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.:

as in new window
  1. Sanford J. Grossman & Guy Laroque, 1987. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," NBER Working Papers 2369, National Bureau of Economic Research, Inc.
  2. Gur Huberman & Werner Stanzl, 2000. "Optimal Liquidity Trading," Yale School of Management Working Papers ysm165, Yale School of Management, revised 01 Aug 2001.
  3. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
  4. Kahl, Matthias & Liu, Jun & Longstaff, Francis A, 2001. "Paper Millionaires: How Valuable is Stock to a Stockholder Who is Restricted from Selling it?," University of California at Los Angeles, Anderson Graduate School of Management qt8b3853z9, Anderson Graduate School of Management, UCLA.
  5. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
  6. Francis A. Longstaff, 2009. "Portfolio Claustrophobia: Asset Pricing in Markets with Illiquid Assets," American Economic Review, American Economic Association, vol. 99(4), pages 1119-44, September.
  7. Liu, Jun & Longstaff, Francis & Pan, Jun, 2001. "Dynamic Asset Allocation with Event Risk," University of California at Los Angeles, Anderson Graduate School of Management qt9fm6t5nb, Anderson Graduate School of Management, UCLA.
  8. William J. Breen & Laurie Simon Hodrick & Robert A. Korajczyk, 2002. "Predicting Equity Liquidity," Management Science, INFORMS, vol. 48(4), pages 470-483, April.
  9. Vayanos, Dimitri & Wang, Tan, 2007. "Search and endogenous concentration of liquidity in asset markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 66-104, September.
  10. 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.
  11. Viral V. Acharya & Lasse Heje Pedersen, 2004. "Asset Pricing with Liquidity Risk," NBER Working Papers 10814, National Bureau of Economic Research, Inc.
  12. Maureen O'Hara, 2003. "Presidential Address: Liquidity and Price Discovery," Journal of Finance, American Finance Association, vol. 58(4), pages 1335-1354, 08.
  13. Bong-Gyu Jang & Hyeng Keun Koo & Hong Liu & Mark Loewenstein, 2007. "Liquidity Premia and Transaction Costs," Journal of Finance, American Finance Association, vol. 62(5), pages 2329-2366, October.
  14. Vayanos, Dimitri, 1998. "Transaction Costs and Asset Prices: A Dynamic Equilibrium Model," Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 1-58.
  15. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  16. Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2005. "Over-the-Counter Markets," Econometrica, Econometric Society, vol. 73(6), pages 1815-1847, November.
  17. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
  18. Pereira, João Pedro & Zhang, Harold H., 2010. "Stock Returns and the Volatility of Liquidity," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(04), pages 1077-1110, August.
  19. Lippman, Steven A & McCall, John J, 1986. "An Operational Measure of Liquidity," American Economic Review, American Economic Association, vol. 76(1), pages 43-55, March.
  20. Boudoukh, Jacob & Whitelaw, Robert F, 1993. "Liquidity as a Choice Variable: A Lesson from the Japanese Government Bond Market," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 265-92.
  21. Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
  22. 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.
  23. Darrell Duffie & Jun Pan & Kenneth Singleton, 1999. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," NBER Working Papers 7105, National Bureau of Economic Research, Inc.
  24. Hong Liu & Mark Loewenstein, 2002. "Optimal Portfolio Selection with Transaction Costs and Finite Horizons," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 805-835.
  25. Liu, Hong & Yong, Jiongmin, 2005. "Option pricing with an illiquid underlying asset market," Journal of Economic Dynamics and Control, Elsevier, vol. 29(12), pages 2125-2156, December.
  26. Huang, Ming, 2003. "Liquidity shocks and equilibrium liquidity premia," Journal of Economic Theory, Elsevier, vol. 109(1), pages 104-129, March.
  27. Longstaff, Francis A, 2001. "Optimal Portfolio Choice and the Valuation of Illiquid Securities," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 407-31.
  28. Hong Liu, 2004. "Optimal Consumption and Investment with Transaction Costs and Multiple Risky Assets," Journal of Finance, American Finance Association, vol. 59(1), pages 289-338, 02.
  29. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August.
  30. Andrea L. Eisfeldt, 2004. "Endogenous Liquidity in Asset Markets," Journal of Finance, American Finance Association, vol. 59(1), pages 1-30, 02.
  31. Dumas, Bernard & Luciano, Elisa, 1991. " An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs," Journal of Finance, American Finance Association, vol. 46(2), pages 577-95, June.
  32. Duffie, Darrell & Sun, Tong-sheng, 1990. "Transactions costs and portfolio choice in a discrete-continuous-time setting," Journal of Economic Dynamics and Control, Elsevier, vol. 14(1), pages 35-51, February.
  33. U. �etin & R. Jarrow & P. Protter & M. Warachka, 2006. "Pricing Options in an Extended Black Scholes Economy with Illiquidity: Theory and Empirical Evidence," Review of Financial Studies, Society for Financial Studies, vol. 19(2), pages 493-529.
  34. Jun Liu, 2005. "An Equilibrium Model of Rare-Event Premia and Its Implication for Option Smirks," Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 131-164.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:34:y:2010:i:11:p:2375-2389. 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: (Zhang, Lei)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.