Losing Money on Arbitrages: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities
In theory, an investor can make infinite profits by taking unlimited positions in an arbitrage. In reality, however, investors must satisfy margin requirements which completely change the economics of arbitrage. We derive the optimal investment policy for a risk-averse investor in a market where there are arbitrage opportunities. We show that it is often optimal to underinvest in the arbitrage by taking a smaller position than margin constraints allow. In some cases, it is actually optimal for an investor to walk away from a pure arbitrage opportunity. Even when the optimal policy is followed, the arbitrage strategy may underperform the riskless asset or have an unimpressive Sharpe ratio. Furthermore, the arbitrage portfolio typically experiences losses at some point before the final convergence date. These results have important implications for the role of arbitrageurs in financial markets.
|Date of creation:||01 Jun 2000|
|Contact details of provider:|| Postal: 110 Westwood Plaza, Los Angeles, CA. 90095|
Web page: http://www.escholarship.org/repec/anderson_fin/
More information through EDIRC
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.:
- Robert C. Merton, 2005.
"Theory of rational option pricing,"
World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288
World Scientific Publishing Co. Pte. Ltd..
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, "undated". "Noise Trader Risk in Financial Markets," J. Bradford De Long's Working Papers _124, University of California at Berkeley, Economics Department.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990. "Noise Trader Risk in Financial Markets," Scholarly Articles 3725552, Harvard University Department of Economics.
- Jean-Pierre Zigrand, 1999. "Arbitrage and Endogenous Market Integration," FMG Discussion Papers dp319, Financial Markets Group.
- Ball, Clifford A. & Torous, Walter N., 1983. "Bond Price Dynamics and Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(04), pages 517-531, December.
- Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
- Shleifer, Andrei & Vishny, Robert W, 1997. " The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
- Andrei Shleifer & Robert W. Vishny, 1995. "The Limits of Arbitrage," NBER Working Papers 5167, National Bureau of Economic Research, Inc.
- Andrei Shleifer ad Robert W. Vishny, 1995. "The Limits of Arbitrage," Harvard Institute of Economic Research Working Papers 1725, Harvard - Institute of Economic Research.
- Longstaff, Francis A, 1995. "Option Pricing and the Martingale Restriction," Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 1091-1124.
- Mark Grinblatt & Francis A. Longstaff, 2000. "Financial Innovation and the Role of Derivative Securities: An Empirical Analysis of the Treasury STRIPS Program," Journal of Finance, American Finance Association, vol. 55(3), pages 1415-1436, 06.
- Basak, Suleyman & Croitoru, Benjamin, 2000. "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 715-748.
- Suleyman Basak & Benjamin Croitoru, "undated". "Equilibrium Mispricing in a Capital Market with Portfolio Constraints," Rodney L. White Center for Financial Research Working Papers 17-99, Wharton School Rodney L. White Center for Financial Research.
- Chen Zhiwu, 1995. "Financial Innovation and Arbitrage Pricing in Frictional Economies," Journal of Economic Theory, Elsevier, vol. 65(1), pages 117-135, February.
- Brennan, Michael J & Schwartz, Eduardo S, 1990. "Arbitrage in Stock Index Futures," The Journal of Business, University of Chicago Press, vol. 63(1), pages 7-31, January.
- Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 275-302.
- Carl Ackermann & Richard McEnally & David Ravenscraft, 1999. "The Performance of Hedge Funds: Risk, Return, and Incentives," Journal of Finance, American Finance Association, vol. 54(3), pages 833-874, 06.
- Willard, Gregory A & Dybvig, Philip H, 1999. "Empty Promises and Arbitrage," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 807-834.
- Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
- Hindy, Ayman, 1995. "Viable prices in financial markets with solvency constraints," Journal of Mathematical Economics, Elsevier, vol. 24(2), pages 105-135.
- Tuckman, Bruce & Vila, Jean-Luc, 1992. " Arbitrage with Holding Costs: A Utility-Based Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1283-1302, September. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:cdl:anderf:qt48k8f97f. 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: (Lisa Schiff)
If references are entirely missing, you can add them using this form.