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On the Scholes Liquidation Problem

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  • David B. Brown
  • Bruce Ian Carlin
  • Miguel Sousa Lobo

Abstract

How should an investor unwind a portfolio in the face of recurring and uncertain liquidity needs? We propose a model of portfolio liquidation in two periods to investigate this question, initially posed by Myron Scholes following the fall of Long Term Capital Management. We show that when the expectation of future liquidity needs is low, the optimal solution involves selling assets that have low permanent and temporary price impacts of trading. However, when there is a high probability of a large future liquidity need, the optimal solution involves retaining assets that have a small temporary impact of trading. In the face of potential future adversity, there is a high option-value to the temporary component of liquidity. The permanent component of liquidity does not share this feature, so that investors will prefer to sell assets with a low ratio of permanent to temporary price impact in the early stages of a crisis, and to hold on to assets with a high ratio of permanent to temporary price impact to protect themselves against an aggravation of the crisis.

Suggested Citation

  • David B. Brown & Bruce Ian Carlin & Miguel Sousa Lobo, 2009. "On the Scholes Liquidation Problem," NBER Working Papers 15381, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:15381
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    References listed on IDEAS

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    1. Holthausen, Robert W. & Leftwich, Richard W. & Mayers, David, 1990. "Large-block transactions, the speed of response, and temporary and permanent stock-price effects," Journal of Financial Economics, Elsevier, vol. 26(1), pages 71-95, July.
    2. Markus K. Brunnermeier, 2009. "Deciphering the Liquidity and Credit Crunch 2007-2008," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 77-100, Winter.
    3. Madhavan, Ananth & Cheng, Minder, 1997. "In Search of Liquidity: Block Trades in the Upstairs and Downstairs Markets," The Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 175-203.
    4. Gur Huberman & Werner Stanzl, 2005. "Optimal Liquidity Trading," Review of Finance, European Finance Association, vol. 9(2), pages 165-200.
    5. Miguel Lobo & Maryam Fazel & Stephen Boyd, 2007. "Portfolio optimization with linear and fixed transaction costs," Annals of Operations Research, Springer, vol. 152(1), pages 341-365, July.
    6. Kraus, Alan & Stoll, Hans R, 1972. "Price Impacts of Block Trading on the New York Stock Exchange," Journal of Finance, American Finance Association, vol. 27(3), pages 569-588, June.
    7. Bruce Ian Carlin & Miguel Sousa Lobo & S. Viswanathan, 2007. "Episodic Liquidity Crises: Cooperative and Predatory Trading," Journal of Finance, American Finance Association, vol. 62(5), pages 2235-2274, October.
    8. Mark M. Carhart & Ron Kaniel & David K. Musto & Adam V. Reed, 2002. "Leaning for the Tape: Evidence of Gaming Behavior in Equity Mutual Funds," Journal of Finance, American Finance Association, vol. 57(2), pages 661-693, April.
    9. Chenghuan Sean Chu & Andreas Lehnert & Wayne Passmore, 2009. "Strategic Trading in Multiple Assets and the Effects on Market Volatiliy," International Journal of Central Banking, International Journal of Central Banking, vol. 5(4), pages 143-172, December.
    10. Myron S. Scholes, 2000. "Crisis and Risk Management," American Economic Review, American Economic Association, vol. 90(2), pages 17-21, May.
    11. Tobias Adrian & Hyun Song Shin, 2008. "Financial intermediary leverage and value at risk," Staff Reports 338, Federal Reserve Bank of New York.
    12. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
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    Cited by:

    1. Manconi, Alberto & Massa, Massimo & Yasuda, Ayako, 2010. "The Behavior of Intoxicated Investors: The Role of Institutional Investors in Propagating the Crisis of 2007-2008," Working Papers 10-22, University of Pennsylvania, Wharton School, Weiss Center.
    2. Manconi, Alberto & Massa, Massimo & Yasuda, Ayako, 2012. "The role of institutional investors in propagating the crisis of 2007–2008," Journal of Financial Economics, Elsevier, vol. 104(3), pages 491-518.

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    More about this item

    JEL classification:

    • G01 - Financial Economics - - General - - - Financial Crises
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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