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Regression Analysis for Multiplicative Phenomena and its Implication for the Measurement of Investment Risk

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  • Meir I. Schneller

    (State University of New York at Buffalo)

Abstract

Beta--the systematic risk--is generally accepted as a measure for the risk involved in holding a portfolio of risky securities. It will be shown in this paper that, because beta is measured by regressing one multiplicative variable (the rate of return of a security or a portfolio) on another multiplicative variable (the market), in the long run, the systematic risk will approach either zero or infinity. It will also be shown that in the long run the unsystematic risk will dominate the systematic risk, and that, regardless of the value of this latter risk. This implies that for investors with long planning horizon the information conveyed in the systematic risk of an investment is rather limited.

Suggested Citation

  • Meir I. Schneller, 1975. "Regression Analysis for Multiplicative Phenomena and its Implication for the Measurement of Investment Risk," Management Science, INFORMS, vol. 22(4), pages 422-426, December.
  • Handle: RePEc:inm:ormnsc:v:22:y:1975:i:4:p:422-426
    DOI: 10.1287/mnsc.22.4.422
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    Cited by:

    1. Levy, Haim & Schwarz, Gideon, 1997. "Correlation and the time interval over which the variables are measured," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 341-350.
    2. R Jea & C-T Su & J-L Lin, 2005. "Time aggregation effect on the correlation coefficient: added-systematically sampled framework," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(11), pages 1303-1309, November.
    3. Haim Levy & Ilan Guttman & Isabel Tkatch, 2001. "Regression, Correlation, and the Time Interval: Additive-Multiplicative Framework," Management Science, INFORMS, vol. 47(8), pages 1150-1159, August.
    4. Jea, Rong & Lin, Jin-Lung & Su, Chao-Ton, 2005. "Correlation and the time interval in multiple regression models," European Journal of Operational Research, Elsevier, vol. 162(2), pages 433-441, April.
    5. Haim Levy, 1996. "Investment diversification and investment specialization and the assumed holding period," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(2), pages 117-134.

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