Finanse, Rynki Finansowe, Ubezpieczenia

Previously: Zeszyty Naukowe Uniwersytetu Szczecińskiego. Finanse, Rynki Finansowe, Ubezpieczenia

ISSN: 2450-7741     eISSN: 2300-4460    OAI    DOI: 10.18276/frfu.2017.86-07
CC BY-SA   Open Access 

Issue archive / 2/2017 (86)
Relacje między systematycznymi miarami ryzyka inwestycji kapitałowych w podejściu klasycznym i dolnostronnym

Authors: Lesław Markowski
Katedra Metod Ilościowych, Uniwersytet Warmińsko-Mazurski w Olsztynie
Keywords: CAPM beta downside beta data generating process
Year of publication:2017
Page range:14 (83-96)
Cited-by (Crossref) ?:


Purpose - The aim of this study was to present the relationship between classical and downside beta coefficients in the context of data generating process. Design/Methodology/Approach – The theoretical analysis were the basis for determining the relationship between the beta coefficients in the classical and downside framework. Empirical studies based on regression analysis and correlation of the time series of monthly returns sectoral indices quoted Warsaw Stock Exchange. Findings - Our results suggest that the relationships between classical and downside systematic risk measures depend on the basic parameters of the distribution of returns of market portfolio approximation. There are statistically significant correlations between the standard deviation, asymmetry and kurtosis of market portfolio and measures expressing the relation of beta coefficients. Originality/Value - The arguments may be an indication of choosing a systematic risk measures and evaluation of the real beta coefficients. This choice is determined by the data generating process, which may contribute to discrepancies between results of CAPM tests.
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1.Alles, L., Murray, L. (2013). Rewards for downside risk in Asian markets, Journal of Banking & Finance, 37, 2501-2509.
2.Artavanis, N., Diacogiannis, G., Mylonakis, J. (2010). The D-CAPM: The Case of Britain and France, International Journal of Economics and Finance, 3, August, 25-38.
3.Bawa, V.S., Lindenberg, E.B. (1977). Capital Market Equilibrium in a Mean-Lower Partial Moment Framework, Journal of Financial Economics, 5, 189-200.
4.Estrada, J. (2002). Systematic risk in emerging markets: the D-CAPM, Emerging Markets Review, 3, 365-379.
5.Galagedera Don, U. A. (2007). An Alternative Perspective on the Relationship between Downside Beta and CAPM Beta, Emerging Markets Review, 8 (1), 4-19.
6.Galagedera Don, U. A. (2009). An Analytical Framework for Explaining Relative Preformance of CAPM Beta and Downside Beta, International Journal of Theoretical and Applied Finance, 12 (3), 341-358.
7.Harlow, W.V., Rao, R.K.S. (1989). Asset pricing in a generalized mean-lower partial moment framework: theory and evidence, Journal of Financial and Quantitative Analysis, 24(3), 285-311.
8.Hogan, W., Warren, J. (1974). Toward the development of an equilibrium capital-market model based on semivariance, Journal of Financial Quantitative Analysis 9, 1–11.
9.Markowski, L. (2013). Empirical tests of the CAPM and D-CAPM models at the Warsaw Stock Exchange, [w] Zastosowanie metod ilościowych w zarządzaniu ryzykiem w działalności inwestycyjnej, (red.) Barczak, A.S., Tworek, P. Polskie Towarzystwo Ekonomiczne Oddział Katowice, Wydawnictwo Uniwersytetu Ekonomicznego w Katowicach, 57-70.
10.Nantell, T.J., Price, B. (1979). An analytical comparison of variance and semivariance capital market theories, Journal of Financial Quantitative Analysis, 14, 221–242.
11.Pedersen, C., Hwang, S., (2007). Does downside beta matter in asset pricing? Applied Financial Economics 17, 961-978.
12.Price, K., Price, B., Nantell, T.J. (1982). Variance and lower partial moment measures of systematic risk: some analytical and empirical results, The Journal of Finance, 37 (3), 843-855.