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The Constant Elasticity of Variance Models: New Evidence from S&P 500 Index Options

Author

Listed:
  • C. F. Lee

    (Rutgers Business School, 94 Rockafeller Road, Piscataway, NJ 08854, USA)

  • Ta-Peng Wu

    (enfoTech Inc., 11 Princess Rd., Unit A, Lawrenenceville, NJ 08648, USA)

  • Ren-Raw Chen

    (Rutgers Business School, 94 Rockafeller Road, Piscataway, NJ 08854, USA)

Abstract

The seminal work by Cox (1975, 1996), MacBeth and Merville (1979, 1980) and Emanuel and Macbeth (1982) show that, both theoretically and empirically, the constant elasticity of variance option model (CEV) is superior to the Black–Scholes model in explaining market prices. In this paper, we extend the MacBeth and Merville (1979, 1980) research by using a European contract (S&P 500 index options). We find supportive evidence to the MacBeth and Merville results although our sample is not subject to American premium biases. Furthermore, we reduce the approximation errors by using the non-central chi-square probability functions proposed by Shroder (1989).

Suggested Citation

  • C. F. Lee & Ta-Peng Wu & Ren-Raw Chen, 2004. "The Constant Elasticity of Variance Models: New Evidence from S&P 500 Index Options," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 173-190.
    • Handle: RePEc:wsi:rpbfmp:v:07:y:2004:i:02:n:s021909150400010x
    DOI: 10.1142/S021909150400010X
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    Citations

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    Cited by:

    1. Cheng Lee & Gwo-Hshiung Tzeng & Shin-Yun Wang, 2005. "A Fuzzy Set Approach for Generalized CRR Model: An Empirical Analysis of S&P 500 Index Options," Review of Quantitative Finance and Accounting, Springer, vol. 25(3), pages 255-275, November.
    2. Cheng Few Lee & Yibing Chen & John Lee, 2020. "Alternative Methods to Derive Option Pricing Models: Review and Comparison," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 102, pages 3573-3617, World Scientific Publishing Co. Pte. Ltd..
    3. Rodrigo Hernández & Wayne Lee & Pu Liu & Tian-Shyr Dai, 2013. "Outperformance Certificates: analysis, pricing, interpretation, and performance," Review of Quantitative Finance and Accounting, Springer, vol. 40(4), pages 691-713, May.
    4. Yow-Jen Jou & Chih-Wei Wang & Wan-Chien Chiu, 2013. "Is the realized volatility good for option pricing during the recent financial crisis?," Review of Quantitative Finance and Accounting, Springer, vol. 40(1), pages 171-188, January.
    5. Ballestra, Luca Vincenzo & Cecere, Liliana, 2016. "A numerical method to estimate the parameters of the CEV model implied by American option prices: Evidence from NYSE," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 100-106.
    6. Oleg Sokolinskiy, 2019. "Debt rollover-induced local volatility model," Review of Quantitative Finance and Accounting, Springer, vol. 52(4), pages 1065-1084, May.
    7. Axel A. Araneda, 2019. "The fractional and mixed-fractional CEV model," Papers 1903.05747, arXiv.org, revised Jun 2019.
    8. Gurdip Bakshi & Charles Cao & Zhaodong (Ken) Zhong, 2021. "Assessing models of individual equity option prices," Review of Quantitative Finance and Accounting, Springer, vol. 57(1), pages 1-28, July.

    More about this item

    Keywords

    Constant elasticity of variance option model; Black–Scholes model; S&P 500 index; non-central chi-square probability functions;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G2 - Financial Economics - - Financial Institutions and Services
    • G3 - Financial Economics - - Corporate Finance and Governance

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