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Optimal Risk Management Using Options

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Author Info
Dong-Hyun Ahn (University of North Carolina, Chapel Hill,)
Jacob Boudoukh (New York University and NBER,)
Matthew Richardson (New York University and NBER,)
Robert F. Whitelaw (New York University)
Abstract

This article provides an analytical solution to the problem of an institution optimally managing the market risk of a given exposure by minimizing its Value-at-Risk using options. The optimal hedge consists of a position in a single option whose strike price is independent of the level of expense the institution is willing to incur for its hedging program. This optimal strike price depends on the distribution of the asset exposure, the horizon of the hedge, and the level of protection desired by the institution. Moreover, the costs associated with a suboptimal choice of exercise price are economically significant. Copyright The American Finance Association 1999.

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Article provided by American Finance Association in its journal The Journal of Finance.

Volume (Year): 54 (1999)
Issue (Month): 1 (02)
Pages: 359-375
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Handle: RePEc:bla:jfinan:v:54:y:1999:i:1:p:359-375

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  1. Liu, Jun & Pan, Jun, 2003. "Dynamic Derivative Strategies," Working papers 4334-02, Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  2. Martin Cincibuch, 2002. "Distributions Implied by Exchange Traded Options: A Ghost’s Smile?," CERGE-EI Working Papers wp200, The Center for Economic Research and Graduate Education - Economic Institute, Prague. [Downloadable!]
  3. J. David Cummins & David Lalonde & Richard D. Phillips, 2000. "The Basis Risk of Catastrophic-Loss Index Securities," Center for Financial Institutions Working Papers 00-22, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
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  4. Jón Daníelsson & Jean-Pierre Zigrand, 2008. "Equilibrium asset pricing with systemic risk," Economic Theory, Springer, vol. 35(2), pages 293-319, May. [Downloadable!] (restricted)
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