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When Does Extra Risk Strictly Increase an Option's Value?

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  • Eric Rasmusen

Abstract

It is well known that risk increases the value of options. This article makes that precise in a new way. The conventional theorem says that the value of an option does not fall if the underlying asset becomes riskier in the conventional sense of the mean-preserving spread. This article uses two new definitions of 'riskier' to show that the value of an option strictly increases (i) if the underlying asset becomes 'pointwise riskier,' and (ii) only if the underlying asset becomes 'extremum riskier.' , Oxford University Press.

Suggested Citation

  • Eric Rasmusen, 2007. "When Does Extra Risk Strictly Increase an Option's Value?," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1647-1667, 2007 14.
  • Handle: RePEc:oup:rfinst:v:20:y:2007:i:5:p:1647-1667
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    File URL: http://hdl.handle.net/10.1093/rfs/hhm028
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    Cited by:

    1. Olivier Gossner & Christoph Kuzmics, 2019. "Preferences Under Ignorance," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(1), pages 241-257, February.
    2. Eric Rasmusen, 2004. "Getting Carried Away in Auctions as Imperfect Value Discovery," Industrial Organization 0409001, University Library of Munich, Germany.
    3. Kuersten, Wolfgang & Linde, Rainer, 2011. "Corporate hedging versus risk-shifting in financially constrained firms: The time-horizon matters!," Journal of Corporate Finance, Elsevier, vol. 17(3), pages 502-525, June.
    4. Jonathan Goldberg, 2014. "Idiosyncratic Investment Risk and Business Cycles," Finance and Economics Discussion Series 2014-05, Board of Governors of the Federal Reserve System (U.S.).

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