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

  • Gatfaoui Hayette

    (University Paris I - Panthéon-Sorbonne)

From the 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 (1973) 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 assets returns. These two studies lead to mitigated results.

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File URL: http://128.118.178.162/eps/fin/papers/0404/0404003.pdf
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Paper provided by EconWPA in its series Finance with number 0404003.

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Length: 27 pages
Date of creation: 07 Apr 2004
Date of revision:
Handle: RePEc:wpa:wuwpfi:0404003
Note: Type of Document - pdf; pages: 27
Contact details of provider: Web page: http://128.118.178.162

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  1. Szego, Giorgio, 2002. "Measures of risk," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1253-1272, July.
  2. Malkiel, Burton & Campbell, John & Lettau, Martin & Xu, Yexiao, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Scholarly Articles 3128707, Harvard University Department of Economics.
  3. 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 449-70, May.
  4. 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.
  5. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-38, July.
  6. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
  7. 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.
  8. Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
  9. 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 637-54, May-June.
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