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Estimating the probability of large negative stock market

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Author Info
Philip Kostov (Queen's University Belfast)
Seamus McErlean (Queen's University Belfast)

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Abstract

Correct assessment of the risks associated with likely economic outcomes is vital for effective decision making. The objective of investment in the stock market is to obtain positive market returns. The risk, however, is the danger of suffering large negative market returns. A variety of parametric models can be used in assessing this type of risk. A major disadvantage of these techniques is that they require a specific assumption to be made about the nature of the statistical distribution. Projections based on this method are conditional on the validity of this underlying assumption, which itself is not testable. An alternative approach is to use a non-parametric methodology, based on the statistical extreme value theory, which provides a means for evaluating the unconditional distribution (or at least the tails of this distribution) beyond the historically observed values. The methodology involves the calculation of the tail index, which is used to estimate the relevant exceedence probabilities (for different critical levels of loss) for a selection of food industry companies. Information about these downside risks is critically important for investment decision making. In addition, the tail index estimates permit examination of the stable Paretian hypothesis.

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Paper provided by EconWPA in its series Finance with number 0409011.

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Date of creation: 07 Sep 2004
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Handle: RePEc:wpa:wuwpfi:0409011

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Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies
Q19 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Other

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  1. Allan Timmermann & Halbert White & Ryan Sullivan, 1998. "The Dangers of Data-Driven Inference: The Case of Calendar Effects in Stock Returns," FMG Discussion Papers dp304, Financial Markets Group. [Downloadable!] (restricted)
  2. Lux, Thomas, 1996. "The Stable Paretian Hypothesis and the Frequency of Large Returns: An Examination of Major German Stocks," Applied Financial Economics, Taylor and Francis Journals, vol. 6(6), pages 463-75, December. [Downloadable!] (restricted)
  3. Huisman, Ronald, et al, 2001. "Tail-Index Estimates in Small Samples," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 208-16, April.
  4. S. James Press, 1967. "A Compound Events Model for Security Prices," Journal of Business, University of Chicago Press, vol. 40, pages 317. [Downloadable!]
  5. Ryan Sullivan & Allan Timmermann & Halbert White, 1998. "Dangers of Data-Driven Inference: The Case of Calendar Effects in Stock Returns," University of California at San Diego, Economics Working Paper Series 98-16, Department of Economics, UC San Diego. [Downloadable!]
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  6. Vries, Caspar de & Danielsson, Jon, 1996. "Tail Index and Quantile Estimation with Very High Frequency Data," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich.
  7. Longin, Francois M, 1996. "The Asymptotic Distribution of Extreme Stock Market Returns," Journal of Business, University of Chicago Press, vol. 69(3), pages 383-408, July. [Downloadable!] (restricted)
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