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Losing Money on Arbitrage: Optimal Dynamic Portfolio Choice in Markets with Arbitrage Opportunities

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  • Jun Liu
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    Abstract

    We derive the optimal investment policy of a risk-averse investor in a market where there is a textbook arbitrage opportunity, but where liabilities must be secured by collateral. We find that it is often optimal to underinvest in the arbitrage by taking a smaller position than collateral constraints allow. Even when the optimal policy is followed, the arbitrage portfolio typically experiences losses before the final convergence date. In fact, its initial performance may be indistinguishable from that of a conventional portfolio with a poor track record. These results have important implications for the role of arbitrageurs in financial markets. Copyright 2004, Oxford University Press.

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    Bibliographic Info

    Article provided by Society for Financial Studies in its journal The Review of Financial Studies.

    Volume (Year): 17 (2004)
    Issue (Month): 3 ()
    Pages: 611-641

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    Handle: RePEc:oup:rfinst:v:17:y:2004:i:3:p:611-641

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    Cited by:
    1. Dimitri Vayanos & Jiang Wang, 2012. "Market Liquidity — Theory and Empirical Evidence," NBER Working Papers 18251, National Bureau of Economic Research, Inc.
    2. Benzoni, Luca & Collin-Dufresne, Pierre & Goldstein, Robert S., 2011. "Explaining asset pricing puzzles associated with the 1987 market crash," Journal of Financial Economics, Elsevier, vol. 101(3), pages 552-573, September.
    3. Scruggs, John T., 2007. "Noise trader risk: Evidence from the Siamese twins," Journal of Financial Markets, Elsevier, vol. 10(1), pages 76-105, February.
    4. Attari, Mukarram & Mello, Antonio S., 2006. "Financially constrained arbitrage in illiquid markets," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2793-2822, December.
    5. Santa-Clara, Pedro & Saretto, Alessio, 2009. "Option strategies: Good deals and margin calls," Journal of Financial Markets, Elsevier, vol. 12(3), pages 391-417, August.
    6. Santa-Clara, Pedro & Saretto, Alessio, 2004. "Option Strategies: Good Deals and Margin Calls," University of California at Los Angeles, Anderson Graduate School of Management qt0499w44p, Anderson Graduate School of Management, UCLA.
    7. Eckhard Platen, 2008. "A Unifying Approach to Asset Pricing," Research Paper Series 227, Quantitative Finance Research Centre, University of Technology, Sydney.
    8. Mark Grinblatt & Bing Han, 2001. "Prospect Theory, Mental Accounting, and Momentum," Yale School of Management Working Papers amz2533, Yale School of Management, revised 01 May 2007.
    9. Ahoniemi, Katja & Lanne, Markku, 2007. "Joint Modeling of Call and Put Implied Volatility," MPRA Paper 6318, University Library of Munich, Germany.
    10. Eckhard Platen & Hardy Hulley, 2008. "Hedging for the Long Run," Research Paper Series 214, Quantitative Finance Research Centre, University of Technology, Sydney.
    11. Tobias Adrian, 2004. "Inference, arbitrage, and asset price volatility," Staff Reports 187, Federal Reserve Bank of New York.
    12. Bradford Cornell & Jakša Cvitanić & Levon Goukasian, 2010. "Beliefs regarding fundamental value and optimal investing," Annals of Finance, Springer, vol. 6(1), pages 83-105, January.
    13. Sergio Andenmatten & Felix Brill, 2011. "Measuring Co-Movements of CDS Premia during the Greek Debt Crisis," Diskussionsschriften dp1104, Universitaet Bern, Departement Volkswirtschaft.
    14. Leon, Hyginus & Sarno, Lucio & Valente, Giorgio, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," CEPR Discussion Papers 5527, C.E.P.R. Discussion Papers.
    15. Lam, F.Y. Eric C. & Wei, K.C. John, 2011. "Limits-to-arbitrage, investment frictions, and the asset growth anomaly," Journal of Financial Economics, Elsevier, vol. 102(1), pages 127-149, October.
    16. Duarte, Jefferson & Longstaff, Francis A. & Yu, Fan, 2005. "Risk and Return in Fixed Income Arbitage: Nickels in Front of a Steamroller?," University of California at Los Angeles, Anderson Graduate School of Management qt6zx6m7fp, Anderson Graduate School of Management, UCLA.
    17. Kang, Jangkoo & Park, Hyoung-Jin, 2008. "The information content of net buying pressure: Evidence from the KOSPI 200 index option market," Journal of Financial Markets, Elsevier, vol. 11(1), pages 36-56, February.
    18. Giorgio Valente & H. L. Leon & Lucio Sarno, 2006. "Nonlinearity in Deviations From Uncovered Interest Parity," IMF Working Papers 06/136, International Monetary Fund.

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