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General Properties of Option Prices

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Author Info
 Bergman, Yaacov Z
Grundy, Bruce D
Wiener, Zvi

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Abstract

When the underlying price process is a one-dimensional diffusion, as well as in certain restricted stochastic volatility settings, a contingent claim's delta is bounded by the infimum and supremum of its delta at maturity. Further, if the claim's payoff is convex (concave), the claim's price is a convex (concave) function of the underlying asset's value. However, when volatility is less specialized, or when the underlying process is discontinuous or non-Markovian, a call's price can be a decreasing, concave function of the underlying price over some range, increasing with the passage of time, and decreasing in the level of interest rates. Copyright 1996 by American Finance Association.

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

Volume (Year): 51 (1996)
Issue (Month): 5 (December)
Pages: 1573-1610
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Handle: RePEc:bla:jfinan:v:51:y:1996:i:5:p:1573-1610

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  1. René Garcia & Éric Renault, 1998. "Risk Aversion, Intertemporal Substitution, and Option Pricing," CIRANO Working Papers 98s-02, CIRANO. [Downloadable!]
  2. Nicole Branger & Christian Schlag, 2004. "Is volatility risk priced? Properties of tests based on option hedging errors," Money Macro and Finance (MMF) Research Group Conference 2003 8, Money Macro and Finance Research Group. [Downloadable!]
  3. Alfredo Ibáñez, 2005. "Option-Pricing in Incomplete Markets: The Hedging Portfolio plus a Risk Premium-Based Recursive Approach," Computing in Economics and Finance 2005 216, Society for Computational Economics. [Downloadable!]
  4. Nicole Branger & Antje Mahayni, 2006. "Tractable Hedging - An Implementation of Robust Hedging Strategies," Working Paper Series: Finance and Accounting 135, Department of Finance, Goethe University Frankfurt am Main. [Downloadable!]
  5. Lihui Zheng & Jin E. Zhang, 2000. "A Disturbance Attenuation Approach to Option Pricing with Transaction Costs," Finance Working Papers 233, East Asian Bureau of Economic Research. [Downloadable!]
  6. Dupont, Dominique Y., 2001. "Extracting Risk-Neutral Probability Distributions from Option Prices Using Trading Volume as a Filter," Economics Series 104, Institute for Advanced Studies. [Downloadable!]
  7. Fahlenbrach, Rudiger & Sandas, Patrik, 2005. "Co-movements of Index Options and Futures Quotes," Working Paper Series 2006-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
  8. Alexander David & Pietro Varonesi, 1999. "Option prices with uncertain fundamentals theory and evidence on the dynamics of implied volatilities," Finance and Economics Discussion Series 1999-47, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  9. Eric Rasmusen, 2004. "When Does Extra Risk Strictly Increase the Value of Options?," Finance 0409004, EconWPA. [Downloadable!]
  10. Marco Fabio Delzio, 2004. "Pricing credit risk through equity options," Departmental Working Papers 198, Tor Vergata University, CEIS. [Downloadable!]
  11. Reint Gropp & Vesala Jukka & Giuseppe Vulpes, 2004. "Market Indicators, Bank Fragility, and Indirect Market Discipline," Finance 0411015, EconWPA. [Downloadable!]
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  12. Mele, Antonio, 2004. "General Properties of Rational Stock-Market Fluctuations," Economics Series 153, Institute for Advanced Studies. [Downloadable!]
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  13. Jan Bergenthum & Ludger Rüschendorf, 2006. "Comparison of Option Prices in Semimartingale Models," Finance and Stochastics, Springer, vol. 10(2), pages 222-249, April. [Downloadable!] (restricted)
  14. Giuseppe Vulpes & Reint Gropp & Jukka M. Vesala, 2002. "Equity and bond market signals as leading indicators of bank fragility," Working Paper Series 150, European Central Bank. [Downloadable!]
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  15. Robert R. Bliss, 2000. "The pitfalls in inferring risk from financial market data," Working Paper Series WP-00-24, Federal Reserve Bank of Chicago. [Downloadable!]
  16. Nicole Branger & Christian Schlag, 2004. "Is Jump Risk Priced? - What We Can (and Cannot) Learn From Option Hedging Errors," Working Paper Series: Finance and Accounting 140, Department of Finance, Goethe University Frankfurt am Main. [Downloadable!]
  17. S. Müller, . "Initial Offerings of Options," Sonderforschungsbereich 373 2001-22, Humboldt Universitaet Berlin.
  18. Vicky Henderson & David Hobson & Sam Howison & Tino Kluge, 2003. "A Comparison of q-optimal Option Prices in a Stochastic Volatility Model with Correlation," OFRC Working Papers Series 2003mf02, Oxford Financial Research Centre. [Downloadable!]
  19. A. Mele, 2000. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," THEMA Working Papers 2000-39, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  20. Fahlenbrach, Rudiger & Sandas, Patrik, 2005. "Market Frictions and Seemingly Anomalous Co-movements of Index Options and Index Futures Quotes," Working Paper Series 2005-10, Ohio State University, Charles A. Dice Center for Research in Financial Economics. [Downloadable!]
  21. Joel Vanden, 2006. "Exact Superreplication Strategies for a Class of Derivative Assets," Applied Mathematical Finance, Taylor and Francis Journals, vol. 13(1), pages 61-87, March. [Downloadable!] (restricted)
  22. Jérôme B. Detemple & Carlton Osakwe, 1999. "The Valuation of Volatility Options," CIRANO Working Papers 99s-43, CIRANO. [Downloadable!]
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