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Analysis of the Term Structure of Implied Volatilities

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Author Info
Heynen, Ronald
Kemna, Angelien
Vorst, Ton

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Abstract

From various empirical work, it is well known that the volatility of asset returns changes over time. This might be one of the reasons that implied volatilities differ for options that only differ in time to maturity. We construct models for the relation between short- and long-term implied volatilities based on three different assumptions of stock return volatility behavior, i.e., mean-reverting, GARCH, and EGARCH models. We test these relations on option price data and conclude that EGARCH gives the best description of asset prices and the term structure of options' implied volatilities.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 29 (1994)
Issue (Month): 01 (March)
Pages: 31-56
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Handle: RePEc:cup:jfinqa:v:29:y:1994:i:01:p:31-56_00

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  1. Dominique Guegan & Jing Zhang, 2009. "Pricing bivariate option under GARCH-GH model with dynamic copula: application for Chinese market," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00368336_v1, HAL. [Downloadable!]
    Other versions:
  2. David Heath & Eckhard Platen, 2004. "Understanding the Implied Volatility Surface for Options on a Diversified Index," Asia-Pacific Financial Markets, Springer, vol. 11(1), pages 55-77, March. [Downloadable!] (restricted)
    Other versions:
  3. Jin-Chuan Duan & Peter Ritchken & Zhiqiang Sun, 2006. "Jump starting GARCH: pricing and hedging options with jumps in returns and volatilities," Working Paper 0619, Federal Reserve Bank of Cleveland. [Downloadable!]
  4. Ren-Raw Chen & Oded Palmon, 2005. "A Non-Parametric Option Pricing Model: Theory and Empirical Evidence," Review of Quantitative Finance and Accounting, Springer, vol. 24(2), pages 115-134, January. [Downloadable!] (restricted)
  5. Nobuya Takezawa & Noriyoshi Shiraishi, 1998. "A Note on the Term Structure of Implied Volatilities for the Yen/U.S. Dollar Currency Option," Asia-Pacific Financial Markets, Springer, vol. 5(3), pages 227-236, November. [Downloadable!] (restricted)
  6. Pilar Corredor Casado & Rafael Santamaría, . "La estructura temporal de las volatilidades implícitas en la opción sobre el Ibex-35," Studies on the Spanish Economy 04, FEDEA. [Downloadable!]
  7. Ramaprasad Bhar, Carl Chiarella, 2000. "Expectations of monetary policy in Australia implied by the probability distribution of interest rate derivatives," European Journal of Finance, Taylor and Francis Journals, vol. 6(2), pages 113-125, June. [Downloadable!] (restricted)
  8. He, Wei & Wei, Peihwang P., 2003. "Is overreaction an explanation for the value effect? A study using implied volatility from option prices," Working Papers 2003-11, University of New Orleans, Department of Economics and Finance. [Downloadable!]
  9. Michael Graham & Jussi Nikkinen & Petri Sahlström, 2003. "Relative importance of scheduled macroeconomic news for stock market investors," Journal of Economics and Finance, Springer, vol. 27(2), pages 153-165, June. [Downloadable!] (restricted)
  10. Robert G. Tompkins, 2001. "Implied volatility surfaces: uncovering regularities for options on financial futures," European Journal of Finance, Taylor and Francis Journals, vol. 7(3), pages 198-230, September. [Downloadable!] (restricted)
  11. Cayetano Gea, CGC, 2007. "Studying the Properties of the Correlation Trades," MPRA Paper 11263, University Library of Munich, Germany. [Downloadable!]
  12. Robert F. Engle & Joshua Rosenberg, 1998. "Testing the Volatility Term Structure using Option Hedging Criteria," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-031, New York University, Leonard N. Stern School of Business-. [Downloadable!]
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