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

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Author Info
Jun Liu (Anderson School of Management)
Francis Longstaff (Anderson School of Management)
Abstract

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 nature of the returns from arbitrage. We derive the optimal investment policy for a risk-averse investor in a market where there are arbitrage opportunities. We shoe 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 returns from the arbitrage strategy can be unimpressive in the sense of underperforming the reckless asset or having a mediocre Sharpe ratio. Furthermore, the arbitrage portfolio frequently experiences capital losses at some point before the final convergence date of the arbitrage. These results have many important implications for the role of arbitrageurs in financial markets.

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Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number 1054.

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Date of creation: 01 Apr 2000
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Handle: RePEc:cdl:anderf:1054

Note: oai:cdlib1:anderson/fin-1054
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  1. Francis Longstaff, 2001. "The Flight-to-Liquidity Premium in U.S. Treasury Bond Prices," University of California at Los Angeles, Anderson Graduate School of Management 1004, Anderson Graduate School of Management, UCLA. [Downloadable!]
  2. John H. Cochrane, 2002. "Stocks as Money: Convenience Yield and the Tech-Stock Bubble," NBER Working Papers 8987, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Jun Liu & Francis Longstaff & Ravit Mandell, 2000. "The Market Price of Credit Risk: An Empirical Analysis of Interest Rate Swap Spreads," University of California at Los Angeles, Anderson Graduate School of Management 1076, Anderson Graduate School of Management, UCLA. [Downloadable!]
  4. Vladislav KArgin, 2004. "Optimal Convergence Trading," Finance 0401003, EconWPA. [Downloadable!]
  5. Francis A. Longstaff, 2002. "The Flight-to-Liquidity Premium in U.S. Treasury Bond Prices," NBER Working Papers 9312, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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This page was last updated on 2009-11-19.


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