Option valuation with long-run and short-run volatility components

P. Christoffersen, K. Jacobs, C. Omthanalai, Y.T. Wang

Research output: Contribution to journalArticleScientificpeer-review

Abstract

This paper presents a new model for the valuation of European options, in which the volatility of returns consists of two components. One is a long-run component and can be modeled as fully persistent. The other is short-run and has a zero mean. Our model can be viewed as an affine version of Engle and Lee [1999. A permanent and transitory component model of stock return volatility. In: Engle, R., White, H. (Eds.), Cointegration, Causality, and Forecasting: A Festschrift in Honor of Clive W.J. Granger. Oxford University Press, New York, pp. 475–497], allowing for easy valuation of European options. The model substantially outperforms a benchmark single-component volatility model that is well established in the literature, and it fits options better than a model that combines conditional heteroskedasticity and Poisson–normal jumps. The component model's superior performance is partly due to its improved ability to model the smirk and the path of spot volatility, but its most distinctive feature is its ability to model the volatility term structure. This feature enables the component model to jointly model long-maturity and short-maturity options.
Original languageEnglish
Pages (from-to)272-297
JournalJournal of Financial Economics
Volume90
Issue number3
Publication statusPublished - 2008

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Option valuation
Volatility components
Short-run
Maturity
European options
Benchmark
Cointegration
Causality
Stock return volatility
Permanent and transitory components
Conditional heteroskedasticity
Volatility term structure
Volatility models
Jump

Cite this

Christoffersen, P., Jacobs, K., Omthanalai, C., & Wang, Y. T. (2008). Option valuation with long-run and short-run volatility components. Journal of Financial Economics, 90(3), 272-297.
Christoffersen, P. ; Jacobs, K. ; Omthanalai, C. ; Wang, Y.T. / Option valuation with long-run and short-run volatility components. In: Journal of Financial Economics. 2008 ; Vol. 90, No. 3. pp. 272-297.
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Christoffersen, P, Jacobs, K, Omthanalai, C & Wang, YT 2008, 'Option valuation with long-run and short-run volatility components', Journal of Financial Economics, vol. 90, no. 3, pp. 272-297.

Option valuation with long-run and short-run volatility components. / Christoffersen, P.; Jacobs, K.; Omthanalai, C.; Wang, Y.T.

In: Journal of Financial Economics, Vol. 90, No. 3, 2008, p. 272-297.

Research output: Contribution to journalArticleScientificpeer-review

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AB - This paper presents a new model for the valuation of European options, in which the volatility of returns consists of two components. One is a long-run component and can be modeled as fully persistent. The other is short-run and has a zero mean. Our model can be viewed as an affine version of Engle and Lee [1999. A permanent and transitory component model of stock return volatility. In: Engle, R., White, H. (Eds.), Cointegration, Causality, and Forecasting: A Festschrift in Honor of Clive W.J. Granger. Oxford University Press, New York, pp. 475–497], allowing for easy valuation of European options. The model substantially outperforms a benchmark single-component volatility model that is well established in the literature, and it fits options better than a model that combines conditional heteroskedasticity and Poisson–normal jumps. The component model's superior performance is partly due to its improved ability to model the smirk and the path of spot volatility, but its most distinctive feature is its ability to model the volatility term structure. This feature enables the component model to jointly model long-maturity and short-maturity options.

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Christoffersen P, Jacobs K, Omthanalai C, Wang YT. Option valuation with long-run and short-run volatility components. Journal of Financial Economics. 2008;90(3):272-297.