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Locked Up by a Lockup: Valuing Liquidity as a Real Option
Authors:Andrew Ang  Nicolas PB Bollen
Institution:1. Andrew Ang is the Ann F. Kaplan Professor of Business at the Columbia Business School, Columbia University in New York, NY.;2. Nicolas P.B. Bollen is the E. Bronson Ingram Professor of Finance at the Owen Graduate School of Management at Vanderbilt University in Nashville, TN.
Abstract:Hedge funds often impose lockups and notice periods to limit the ability of investors to withdraw capital. We model the investor's decision to withdraw capital as a real option and treat lockups and notice periods as exercise restrictions. Our methodology incorporates time-varying probabilities of hedge fund failure and optimal early exercise. We estimate a two-year lockup with a three-month notice period costs approximately 1% of the initial investment for an investor with constant relative risk aversion utility and risk aversion of three. The cost of illiquidity can easily exceed 10% if the hedge fund manager can arbitrarily suspend withdrawals.
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