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Illiquidity, position limits, and optimal investment for mutual funds

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Author Info

  • Dai, Min
  • Jin, Hanqing
  • Liu, Hong
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Abstract

We study the optimal trading strategy of mutual funds that face both position limits and differential illiquidity. We provide explicit characterization of the optimal trading strategy and conduct an extensive analytical and numerical analysis of the optimal trading strategy. We show that the optimal trading boundaries are increasing in both the lower and the upper position limits. We find that position limits can affect current trading strategy even when they are not currently binding and other seemingly intuitive trading strategies can be costly. We also examine the optimal choice of position limits.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053111000330
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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 146 (2011)
Issue (Month): 4 (July)
Pages: 1598-1630

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Handle: RePEc:eee:jetheo:v:146:y:2011:i:4:p:1598-1630

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Illiquidity Portfolio constraints Position limits Transaction costs Mutual funds Optimal investment;

References

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  1. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
  2. Domenico Cuoco & Hong Liu, . "Optimal Consumption of a Divisible Durable Good," Rodney L. White Center for Financial Research Working Papers 20-98, Wharton School Rodney L. White Center for Financial Research.
  3. Almazan, Andres & Brown, Keith C. & Carlson, Murray & Chapman, David A., 2004. "Why constrain your mutual fund manager?," Journal of Financial Economics, Elsevier, vol. 73(2), pages 289-321, August.
  4. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
  5. Amihud, Yakov & Mendelson, Haim & Pedersen, Lasse Heje, 2005. "Liquidity and Asset Prices," MPRA Paper 24768, University Library of Munich, Germany.
  6. Cuoco, Domenico, 1997. "Optimal Consumption and Equilibrium Prices with Portfolio Constraints and Stochastic Income," Journal of Economic Theory, Elsevier, vol. 72(1), pages 33-73, January.
  7. Min Dai & Yue Kuen Kwok & Jianping Zong, 2008. "Guaranteed Minimum Withdrawal Benefit In Variable Annuities," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 595-611.
  8. 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.
  9. Edwin J. Elton & Martin J. Gruber & Christopher R. Blake, 2003. "Incentive Fees and Mutual Funds," Journal of Finance, American Finance Association, vol. 58(2), pages 779-804, 04.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Domenico Cuoco & Hong Liu, 2000. "A Martingale Characterization of Consumption Choices and Hedging Costs with Margin Requirements," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 355-385.
  15. Suleyman Basak & Anna Pavlova & Alexander Shapiro, 2007. "Optimal Asset Allocation and Risk Shifting in Money Management," Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1583-1621, 2007 21.
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Cited by:
  1. Johannes Muhle-Karbe & Ren Liu, 2012. "Portfolio Selection with Small Transaction Costs and Binding Portfolio Constraints," Papers 1205.4588, arXiv.org, revised Jan 2013.

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