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How Does Systematic Risk Impact Stocks ? A Study On the French Financial Market

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  • Hayette Gatfaoui

    (The University of Paris 1 - Panthéon-Sorbonne)

Abstract

From CAC40 French stock index, we induce the implied market factor’s level through the inversion of a closed form pricing formula for European calls on the CAC40. For this purpose, we assume that the CAC40 index is a disturbed observation of the actual market factor, the market factor's diffusion following a geometric Brownian motion. All the assumptions prevailing in a Black & Scholes world are assumed to hold. Based on daily data, the results show that the level of the implied market factor and its instantaneous return’s volatility are leptokurtic distributed. Having a proxy for the systematic risk, we also study the impact of the implied market factor on a basket of French assets. First, we compute correlations of assets’ returns with the return of the implied market factor, and realize as well a VAR study and a Granger causality test. Second, we estimate regressions of French assets’ returns on the return of the implied market factor. Then, we characterize the prevailing relationship between the weekly rolling volatility of the return of the implied market factor and weekly rolling volatilities of the French asset returns. These two studies lead to mitigated results.

Suggested Citation

  • Hayette Gatfaoui, 2003. "How Does Systematic Risk Impact Stocks ? A Study On the French Financial Market," Risk and Insurance 0308004, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpri:0308004
    Note: Type of Document - Acrobat PDF; prepared on PC; to print on HP/PostScript; pages: 16 ; figures: included. We never published this piece.
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    References listed on IDEAS

    as
    1. Lintner, John, 1969. "The Aggregation of Investor's Diverse Judgments and Preferences in Purely Competitive Security Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(04), pages 347-400, December.
    2. John Y. Campbell, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    3. Szego, Giorgio, 2002. "Measures of risk," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1253-1272, July.
    4. Whaley, Robert E., 1982. "Valuation of American call options on dividend-paying stocks : Empirical tests," Journal of Financial Economics, Elsevier, vol. 10(1), pages 29-58, March.
    5. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    6. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    7. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    8. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    9. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
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    More about this item

    Keywords

    Call pricing Granger causality implied volatility option pricing systematic risk;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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