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An Improved Approach to Computing Implied Volatility

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  • Chambers, Donald R
  • Nawalkha, Sanjay K

Abstract

A well-known problem in finance is the absence of a closed form solution for volatility in common option pricing models. Several approaches have been developed to provide closed form approximations to volatility. This paper examines Chance's (1993, 1996) model, Corrado and Miller's (1996) model and Bharadia, Christofides and Salkin's (1996) model for approximating implied volatility. We develop a simplified extension of Chance's model that has greater accuracy than previous models. Our tests indicate dramatically improved results. Copyright 2001 by MIT Press.

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Bibliographic Info

Article provided by Eastern Finance Association in its journal The Financial Review.

Volume (Year): 36 (2001)
Issue (Month): 3 (August)
Pages: 89-99

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Handle: RePEc:bla:finrev:v:36:y:2001:i:3:p:89-99

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Web page: http://www.easternfinance.org/
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Web: http://www.blackwellpublishing.com/subs.asp?ref=0732-8516

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Cited by:
  1. Steven Li, 2003. "The estimation of implied volatility from the Black-Scholes model: some new formulas and their applications," School of Economics and Finance Discussion Papers and Working Papers Series 141, School of Economics and Finance, Queensland University of Technology.
  2. Sukhomlin, Nikolay & Santana Jiménez, Lisette Josefina, 2010. "Problema de calibración de mercado y estructura implícita del modelo de bonos de Black-Cox = Market Calibration Problem and the Implied Structure of the Black-Cox Bond Model," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 10(1), pages 73-98, December.
  3. Minqiang Li & Kyuseok Lee, 2011. "An adaptive successive over-relaxation method for computing the Black-Scholes implied volatility," Quantitative Finance, Taylor & Francis Journals, vol. 11(8), pages 1245-1269.
  4. Adrienne Kearney & Raymond Lombra, 2004. "Stock market volatility, the news, and monetary policy," Journal of Economics and Finance, Springer, vol. 28(2), pages 252-259, June.
  5. Michael Roper & Marek Rutkowski, 2009. "On The Relationship Between The Call Price Surface And The Implied Volatility Surface Close To Expiry," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 427-441.
  6. Kazuhiko NISHINA & Tatsuro Nabil MAGHREBI & Moo-Sung KIM, 2006. "Stock Market Volatility And The Forecasting Accuracy Of Implied Volatility Indices," Discussion Papers in Economics and Business 06-09, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).

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