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On Distributions for Stock Returns: A Survey of Empirical Investigations

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Book cover Managing in Uncertainty: Theory and Practice

Part of the book series: Applied Optimization ((APOP,volume 19))

Abstract

In this paper we give a brief survey of the empirical investigations of the distributions for stock returns and some detailed discussion of German and Hungarian stock returns using refined methods. As a conclusion the stable law hypothesis for the stock returns is rejected and procedures requiring much weaker distributional assumptions are suggested instead of the more traditional techniques.

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References

  • Akgiray, V. and Booth, G.G. (1988), “The Stable-Law Model of Stock Returns”, Journal of Business & Economics 6, 51–57.

    Google Scholar 

  • Akgiray, V., Booth, G.G. and Seifert, B. (1988), “Distribution Properties of Latin American Black Market Exchange Rates”, Journal of International Money & Finance 7, 37–48.

    Article  Google Scholar 

  • Akgiray, V., Booth, G.G. and Loistl, O. (1989), “Stable Laws Are Inappropriate for Describing German Stock Returns”, Allgemeines Statistisches Archiv 73, 115–21.

    Google Scholar 

  • Baumol, W. and Benhabib, J. (1989), “Chaos: Significance, Mechanism and Economic Applications”, Journal of Economic Perspectives 3, 77–105.

    Article  Google Scholar 

  • Boldrin, M. and Woodford, M. (1990), “Equilibrium Models Displaying Endogenous Fluctuations and Chaos”, Journal of Monetary Economics 25, 189–222.

    Article  Google Scholar 

  • Brock, W.A. (1988), “Nonlinearity and Complex Dynamics in Economics and Finance”, in: The Economy as an Evolving Complex System, SFI Studies in the Sciences of Complexity, Addison-Wesley Publishing Company.

    Google Scholar 

  • Cornew, R.W., Town, D.E. and Crowson, L.D. (1984), “Stable Distributions, Futures Prices, and the Measurement of Trading Performance”, Journal of Futures Markets 4, 531–57.

    Article  Google Scholar 

  • Dekkers, A.L.M. and de Haan, L. (1989), “On the Estimation of the Extreme-Value Index and Large Quantile Estimation”, Annals of Statistics 17, 1795–1832.

    Article  Google Scholar 

  • Dewachter, H. and Gielens, G. (1991), “A Note on the Sum-Stability of Exchange Rate Returns”, Catholic University of Leuven: mimeo.

    Google Scholar 

  • DuMouchel, W. (1971), Stable Distributions in Statistical Inference, Ph. D. Thesis: Yale University.

    Google Scholar 

  • DuMouchel, W. (1983), “Estimating the Stable Index a in order to Measure Tail Thickness: A critique”, Annals of Statistics 11, 1019–1031.

    Google Scholar 

  • Engle, R.F. (1982), “Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of U.K. Inflation”, Econometrica 50, 987–1008.

    Article  Google Scholar 

  • Fama, E.F. (1965), “The Behavior of Stock Market Prices”, Journal of Business 38, 34–105.

    Article  Google Scholar 

  • Friedman, D. and Bandersteel, S. (1982), “Short-Run Fluctuations in Foreign Exchange Rates”, Journal of International Economics 13, 171–186.

    Article  Google Scholar 

  • Hall, J.A., Brorsen, B.W. and Irwin, S.H. (1989), “The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normal Hypotheses”, Journal of Financial & Quantitative Analysis 24, 105–116.

    Article  Google Scholar 

  • Hanoch, G. and Levy, H. (1970), “Efficient Portfolio Selection with Quadratic and Cubic Utility”, Journal of Business 43, 181–189.

    Article  Google Scholar 

  • Hill, B.M. (1975), “A Simple General Approach to Interference about the Tail of a Distribution”, Annals of Statistics 3, 1163–1173.

    Article  Google Scholar 

  • Hols, M.C.A.B. and de Vries, CG. (1991), “The Limiting Distribution of External Exchange Rate Returns”, Journal of Applied Econometrics 6, 287–302.

    Article  Google Scholar 

  • Hsu, D.A., Miller, R.B. and Wiehern, D.W. (1974), “On the Stable Paretian Behavior of Stock Market Prices”, Journal of the American Statistical Association 69, 1008–1013.

    Article  Google Scholar 

  • Jensen, D.W. and de Vries, C.G. (1991), “On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective”, Review ofEconomics & Statistics 73, 18–24.

    Article  Google Scholar 

  • Jean, W. (1971), “The Extension of Portfolio Analysis to Three or More Parameters”, Journal of Financial and Quantitative Analysis 6, 505–515.

    Article  Google Scholar 

  • Jean, W. (1973), “More on Multidimensional Portfolio Analysis”, Journal of Financial and Quantitative Analysis 8, 475–490.

    Article  Google Scholar 

  • Kähler, J. (1993), “On the Modelling of Speculative Prices by Stable Paretian Distributions and Regularly Varying Tails”, ZEW University of Mannheinrmimeo.

    Google Scholar 

  • Koedijk, KG. and Kool, C.J.M. (1983), “Tail Estimates of East-European Exchange Rates”, Journal of Business & Economic Statistics 10, 83–96.

    Google Scholar 

  • Koedijk, K.G., Stork, P.A. and de Vries, C.G. (1992), “Differences between Foreign Exchange Rate Regimes: The View from the Tails”, Journal of International Money & Finance 11, 462–73.

    Article  Google Scholar 

  • Kraus, A. and Litzenberger, R.H. (1976), “Skewness Preference and the Valuation of Risk Assets”, Journal of Finance 31, 1085–1100.

    Google Scholar 

  • Leadbetter, R., Lindgren, G. and Rootzen, H. (1983), Extremes and Related Properties of Random Sequences and Processes, Springer Verlag, Berlin.

    Book  Google Scholar 

  • Levy, H. and Sarnat, M. (1972), Investment and Portfolio Analysis, Wiley, New York.

    Google Scholar 

  • Lux, T., and Varga, J. (1996), “The Stable Paretian Hypothesis for Stock Returns : An Empirical Investigation”, SZIGMA, 1996–4, 157–179 (In Hungarian).

    Google Scholar 

  • Lux, T. (1995), The Stable Paretian Hypothesis and the Frequency of Large Returns: An examination of major German stocks, University of Bamberg: mimeo.

    Google Scholar 

  • Mandelbrot, B. (1963), “The Variation of Certain Speculative Prices”, Journal of Business 35, 394–419.

    Google Scholar 

  • Markowitz, H. (1991), “Foundations of Portfolio Theory”, Journal of Finance 8, 77–91.

    Google Scholar 

  • McCulloch, J.H. (1986), “Simple Consistent Estimators of Stable Distribution Parameters”, Communications in Statistics: Simulation 15, 1109–32.

    Article  Google Scholar 

  • McFarland, J.W., Pettit, R.R. and Sung, S.K. (1980), “The Distribution of Foreign Exchange Price Changes: Trading day effects and risk measurement”, Journal of Finance 37, 693–715.

    Article  Google Scholar 

  • Peccati, L. and Tibiletti, L. (1993), “On the Asymmetry of Stock Return Distribution”, Presented at the EWGFM, Mantova.

    Google Scholar 

  • Rubinstein, M. (1973), “The Fundamental Theorem of Parameter Preference Security Valuation”, Journal of Financial and Quantitative Analysis 8, 61–69.

    Article  Google Scholar 

  • Samuelson, P. (1970), “The Fundamental Approximation of Theorem of Portfolio Analysis in Terms of Means, Variances and Higher Moments”, Review of Economic Studies 37, 537–542.

    Article  Google Scholar 

  • Simkowitz, M.A. and Beedles, W. L. (1980), “Asymmetric Stable Distributed Security Returns”, Journal of the American Statistical Association 75, 306–312.

    Article  Google Scholar 

  • So, J.C. (1987a), “The Distribution of Foreign Exchange Price Changes: Trading Day Effects and Risk Measurement — A comment”, Journal of Finance 42, 181–188.

    Google Scholar 

  • So, J.C. (1987b), “The Sub-Gaussian Distribution of Currency Futures: Stable Paretian or Nonstationary?” Review of Economics & Statistics 69, 100–107.

    Article  Google Scholar 

  • Teichmoeller, J. (1971), “A Note on the Distribution of Stock Price Changes”, Journal of the American Statistical Association 66, 282–284.

    Article  Google Scholar 

  • Upton, D.E. and Shannon, D.S. (1979), “The Stable Paretian Distribution, Subordinated Stochastic Processes and Asymptotic Lognormality: An Empirical Investigation”, Journal of Finance 34, 131–139.

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Business & Economics, Janus Pannonius University, Pécs, Hungary

    József Varga

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  1. József Varga
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Editor information

Editors and Affiliations

  1. Technical University of Crete, Chania, Greece

    Constantin Zopounidis

  2. University of Florida, Florida, USA

    Panos M. Pardalos

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© 1998 Springer Science+Business Media Dordrecht

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Varga, J. (1998). On Distributions for Stock Returns: A Survey of Empirical Investigations. In: Zopounidis, C., Pardalos, P.M. (eds) Managing in Uncertainty: Theory and Practice. Applied Optimization, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2845-3_10

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  • DOI: https://doi.org/10.1007/978-1-4757-2845-3_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4801-4

  • Online ISBN: 978-1-4757-2845-3

  • eBook Packages: Springer Book Archive

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