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Stochastic Volatility and the Informational Content of Option Prices: Empirical Analysis

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Author Info
Antonio Mele () (THEMA)
Fabio Fornari () (Bank of Italy)

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Abstract

We compare the state-price density that is implied by the cross-section of options prices with the corresponding density of the underlying asset price that is derived from an equilibrium model with Markovian stochastic volatility. If the data-generating process is of the stochastic volatility type and if options are correctly priced, the two densities should be identical. Such work has been motivated by the negative results obtained by Aðt-Sahalia, Wang and Yard (1998) in the case of a simple, complete-markets setting in which the volatility of the underlying asset price only depended on the underlying asset price.

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 1999 with number 912.

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Date of creation: 01 Mar 1999
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Handle: RePEc:sce:scecf9:912

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Postal: CEF99, Boston College, Department of Economics, Chestnut Hill MA 02467 USA
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  1. Yacine Ait-Sahalia, 1995. "Testing Continuous-Time Models of the Spot Interest Rate," NBER Working Papers 5346, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. BROZEÊ, Laurence & SCAILLETÊ, Olivier & ZAKOIANÊ, Jean-Michel, 1995. "Quasi Indirect Inference for Diffusion Processes," CORE Discussion Papers 1995005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Ait-Sahalia, Yacine, 1996. "Nonparametric Pricing of Interest Rate Derivative Securities," Econometrica, Econometric Society, vol. 64(3), pages 527-60, May. [Downloadable!] (restricted)
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  4. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  5. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De. [Downloadable!] (restricted)
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  6. F. Fornari & A. Mele, 1998. "ARCH Models and Option Pricing : The Continuous Time Connection," THEMA Working Papers 98-30, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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  7. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December. [Downloadable!] (restricted)
  8. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March. [Downloadable!] (restricted)
  9. Broze, Laurence & Scaillet, Olivier & Zako an, Jean-Michel, 1998. "Quasi-Indirect Inference For Diffusion Processes," Econometric Theory, Cambridge University Press, vol. 14(02), pages 161-186, April. [Downloadable!]
  10. Huang, Chi-fu, 1987. "An Intertemporal General Equilibrium Asset Pricing Model: The Case of Diffusion Information," Econometrica, Econometric Society, vol. 55(1), pages 117-42, January. [Downloadable!] (restricted)
  11. Fabio Fornari & Antonio Mele, 1997. "Weak convergence and distributional assumptions for a general class of nonliner arch models," Econometric Reviews, Taylor and Francis Journals, vol. 16(2), pages 205-227. [Downloadable!] (restricted)
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