Risk Characteristic on Fat-tails of Return Distribution: An Evidence of the Korean Stock Market
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Purpose - This study empirically investigates whether the risk property included in fat-tails of return distributions is systematic or unsystematic based on the devised statistical methods. Design/methodology/approach - This study devised empirical designs based on two traditional methods: principal component analysis (PCA) and the testing method of portfolio diversification effect. The fatness of the tails in return distributions is quantitatively measured by statistical probability. Findings - According to the results, the risk property in the fat-tails of return distributions has the economic meanings of eigenvalues having a value greater than 1 through PCA, and also systematic risk that cannot be removed through portfolio diversification. In other words, the fat-tails of return distributions have the properties of the common factors, which may explain the changes of stock returns. Meanwhile, the fatness of the tails in the portfolio return distributions shows the asymmetric relationship of common factors on the tails of return distributions. The negative tail in the portfolio return distribution has a much closer relation with the property of common factors, compared to the positive tail. Research implications or Originality - This empirical evidence may complement the existing studies related to tail risk which is utilized in pricing models as a common factor.
Abstract
Purpose - This study empirically investigates whether the risk property included in fat-tails of return distributions is systematic or unsystematic based on the devised statistical methods. Design/methodology/approach - This study devised empirical designs based on two traditional methods: principal component analysis (PCA) and the testing method of portfolio diversification effect. The fatness of the tails in return distributions is quantitatively measured by statistical probability. Findings - According to the results, the risk property in the fat-tails of return distributions has the economic meanings of eigenvalues having a value greater than 1 through PCA, and also systematic risk that cannot be removed through portfolio diversification. In other words, the fat-tails of return distributions have the properties of the common factors, which may explain the changes of stock returns. Meanwhile, the fatness of the tails in the portfolio return distributions shows the asymmetric relationship of common factors on the tails of return distributions. The negative tail in the portfolio return distribution has a much closer relation with the property of common factors, compared to the positive tail. Research implications or Originality - This empirical evidence may complement the existing studies related to tail risk which is utilized in pricing models as a common factor.
참고문헌 (18)
- Ang, A., "Downside Risk", Review of Financial Studies, 19(4), pp.1191~1239 (2006)
- Banz, R. W., "The Relationship between Return and Market Value of Common Stocks", Journal of Financial Economics, 9, pp.3~18 (1981)
- Bhansali, V., "Tail Risk Management", Journal of Portfolio Management, 34, pp.68~75 (2008)
- Brown S. T., "The Number of Factors in Security Returns", Journal of Finance, 44(5), pp.1247~1262 (1989)
- Chen, N., "Economic Factors and the Stock Market", Journal of Business, 59(3), pp.383~403 (1986)
- Elton, E. J., "Risk Reduction and Portfolio Size : An Analytical Solution", Journal of Business, 50, pp.145~437 (1977)
- Eom, C., "Effect of Changing Data Size on Eigenvalues in the Korean and Japanese Stock Markets", Physica A, 388(22), pp.4780~4786 (2009)
- Evans, J. L., "Diversification and the Reduction of Dispersion : An Empirical Analysis", Journal of Finance, 23(5), pp.761~767 (1968)
- Kaiser, H. F., "The Application of Electronic Computers to Factor Analysis", Educational and Psychological Measurement, 20, pp.141~151 (1960)
- Kelly, B., "Trail Risk and Asset Prices", Review of Financial Studies, 27(10), pp.2841~2871 (2014)
- King, B., "Market and Industry Factors in Stock Price Behavior", Journal of Business, 39(1), pp.139~190 (1966)
- Leon, S. J., "Linear Algebra with Application" (2002), Prentice Hall
- Mehta M., "Random Matrices" (1995), Academic Press
- Plerou V., "Random Matrix Approach to Cross Correlations in Financial Data", Physical Review E, 65, pp.066126~ (2002)
- Ross, S., "The Arbitrage Theory of Capital Asset Pricing", Journal of Economic Theory, 13(3), pp.341~360 (1976)
- Scott, D. W., "Multivariate Density Estimation: Theory, Practice, and Visualization" (1992), John Wiley
- Statman, M., "How Many Stocks Make a Diversified Portfolio?", Journal of Financial and Quantitative Analysis, 22(3), pp.353~363 (1987)
- Taleb, N. N., "The Black Swan: The Impact of the Highly Improbable" (2007), Random House
