Koundouri, Phoebe and Kourogenis, Nikolaos and Pittis, Nikitas and Samartzis, Panagiotis (2015): Factor Models as "Explanatory UniÖers" versus "Explanatory Ideals" of Empirical Regularities of Stock Returns. Published in:
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Abstract
In this paper we investigate whether the empirical regularities of stock returns are independent of each other or whether any one of them implies all the others. If such a regularity exists, it is called 'fundamental' and is usually thought of as a 'deductive explanation' of the others. We demonstrate that such a fundamental regularity of stock returns is the one represented by the single factor model with a stochastically persistent beta coefficient (SFM- AR). Indeed, this regularity alone entails all the usual regularities of stock returns, including conditional heteroskedasticity, leptokurtosis aggregational Gaussianity and aggregational Independence. Hence, SFM-AR may be thought of as an "explanatory unifier" of the empirical regularities of stock returns. However, since the theoretical origins of SFM-AR are weak, its explanatory status falls short of meeting the standards of the 'ideal explanatory text'.
Item Type: | MPRA Paper |
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Original Title: | Factor Models as "Explanatory UniÖers" versus "Explanatory Ideals" of Empirical Regularities of Stock Returns |
Language: | English |
Keywords: | empirical regularities, stock returns, single factor model, autoregressive beta, statistical explanation |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General Y - Miscellaneous Categories > Y1 - Data: Tables and Charts |
Item ID: | 122254 |
Depositing User: | Prof. Phoebe Koundouri |
Date Deposited: | 02 Oct 2024 06:49 |
Last Modified: | 02 Oct 2024 06:49 |
References: | Andersen, T.G., T. Bollerslev, F.X. Diebold, and P. Labys, 2003, Modeling and Forecasting Realized Volatility. Econometrica 71, 579-625. Andersen, T.G., T. Bollerslev, F.X. Diebold and J. Wu, 2005, A Framework for Exploring the Macroeconomic Determinants of Systematic Risk. American Economic Review 95, 2, 398-404. Ang, A. and J. Chen, 2007, CAPM over the long run: 1926-2001. Journal of Empirical Finance 14, 1-40. Arditti, F.D., 1967, Risk and the Required Return on Equity. Journal of Finance 22, 19-36. Avramov, D. and T. Chordia, 2006, Asset Pricing Models and Financial Market Anomalies. Review of Financial Studies 19, 1001-1040. Barndorff-Nielsen, O.E. and N. Shephard, 1998, Aggregation and model construction for volatility models. Centre for Analytical Finance, University of Aarhus, Working Paper Series No. 10. Bali, T.G., H. Mo and Y. Tang, 2008, The role of autoregressive conditional skewness and kurtosis in the estimation of conditional VaR. Journal of Banking and Finance 32, 269-282. Beja, A., 1972, On Systematic and Unsystematic Components of Financial Risk. Journal of Finance 27, 37-45. Berk, J.B., R.C. Green and V.Naik, 1999, Optimal Investment, Growth Options, and Security Returns. Journal of Finance 54, 1553-1607. Blattberg, R.C., and N.J. Gonedes, 1974, A Comparison of the Stable and Student Distributions as Statistical Models for Asset Prices. Journal of Business 47, 244-280. Blume, M.E., 1971, On the assessment of risk. Journal of Finance 26, 1-10. --------, 1975, Betas and Their Regression Tendencies. Journal of Finance 30, 785-795. Bollerslev, T., 1986, Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics 31, 307ñ327. Bos, T. and P. Newbold, 1984, An emprical investigation of the possibility of stochastic systematic risk in the market model. Journal of Business 57, 35-41. Brewer, W.F. and B.L. Lambert, 1993, The Theory-Ladenness of Observation: Evidence from Cognitive Psychology. Proceedings of the Fifteenth Annual Conference of the Cognitive Science Society, Hillsdale, NJ: Erlbaum, 254-259. Castanias, R.P. II, 1979, Macroinformation and the Variability of Stock Market Prices. Journal of Finance 34, 439-450. Clark, P.K., 1973, A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices. Econometrica 41, 135-155. Collins, D.W., J. Ledolter and J. Rayburn, 1987, Some Further Evidence on the Stochastic Properties of Systematic Risk. Journal of Business 60, 425-448. Drost, F.C. and Nijman, T.E., 1993, Temporal Aggregation of Garch Processes. Econometrica 61, 909-927. Ellis, B., 1956, V.ñOn the relation of explanation to description. MIND 65, 498-506. Engle, R.F., 1982, Autoregressive Conditional Heteroskedasticity With Estimates of the Variance of UK Ináation. Econometrica 50, 987-1008. Fabozzi, F.J. and J.C. Francis, 1977, Stability Tests for Alphas and Betas Over Bull and Bear Market Conditions. Journal of Finance 32, 1093-1099. Fama, E.F., 1965, The behavior of stock-market prices. Journal of Business, 38, 34-105. Fetzer, J.H., 1993, Philosophy of science. New York: Paragon House. Fisher, L. and J.H. Kamin, 1985, Forecasting Systematic Risk: Estimates of "Raw" Beta. That Take Into Account the Tendency of Beta to Change and the Heteroscedasticity of Residual Returns. Journal of Financial and Quantitative Analysis 20, 127-149. Friedman, M., 1974, Explanation and ScientiÖc Understanding.Journal of Philosophy 71, 5-19. Granger, C.W.J., 1968, Some Aspects of the Random walk Model of Stock Market Prices. International Economic Review 9, 253-257. Hagerman, R.L., 1978, More Evidence on the Distribution of Security Returns. Journal of Finance 33, 1213-1221. Harvey, C.R. and A. Siddique, 1999, Autoregressive Conditional Skewness. Journal of Financial and Quantitative Analysis 34, 465-487. ---------------------------, 2000a, Conditional Skewness in Asset Pricing Tests. Journal of Finance 55, 1263-1295. ---------------------------, 2000b, Time Varying Conditional Skewness and the Market Risk Premium. Research in Banking and Finance 1, 25-58. Hempel, C., 1965, Aspects of ScientiÖc Explanation and Other Essays in the Philosophy of Science, New York: Free Press. Hempel, C., 1966, Philosophy of Natural Science. Englewood Clifs: Prentice-Hall. Hempel, C. G. and P. Oppenheim, 1948, Studies in the Logic of Explanation, Philosophy of Science, 15: 135-175. Hsu, D-A, R.B. Miller and D.W. Wichern, 1974, On the stable Paretian behavior of stock-market prices. Journal of the American Statistical Association 69, 108-113. Jostova, G. and A. Philipov, 2005, Bayesian Analysis of Stochastic Betas. Journal of Financial and Quantitative Analysis 40, 747-778. Kendall, M.G., 1953, The Analysis of Economic Time-Series-Part I: Prices. Journal of the Royal Statistical Society. Series A 116, 11-34. Kinoshita, J., 1990, How Do ScientiÖc Explanations Explain?. Royal Institute of Philosophy Supplement 27, 297-311. Kon, S.J., 1984, Models of Stock ReturnsñA Comparison. Journal of Finance 39, 147-165. Kon, S.J. and F.C. Jen, 1978, Estimation of Time-Varying Systematic Risk and Performance for Mutual Fund Portfolios: An Application of Switching Regression. Journal of Finance 33, 457-475. Kraus, A. and R.H. Litzenberger, 1976, Skewness Preference and the Valuation of Risk Assets. Journal of Finance 31, 1085-1100. Kuhn, T.S., 1962, The Structure of ScientiÖc Revolutions, 1st. ed., University of Chicago Press, Chicago. LÈvy, P, 1954, ThÈorie de líaddition des variables alÈatoires. Gauthier Villars, Paris. Lim, K-G, 1989, A New Test of the Three-Moment Capital Asset Pricing Model. Journal of Financial and Quantitative Analysis 24, 205-216. Madan, D.B. and E. Seneta, 1990, The Variance Gamma (V.G.) Model for Share Market Returns. Journal of Business 63, 511-524. Mandelbrot, B., 1963, The Variation of Certain Speculative Prices. Journal of Business 36, 394-419. Mandelbrot, B. and H.M. Taylor, 1967, On the Distribution of Stock Price Differences. Operations Research 15, 1057-1062. Nagel, E., 1961, The structure of science: problems in the logic of scientiÖc explanation. New York: Harcourt, Brace & World. Nour Meddahi, N. and Renault, E., 2004, Temporal aggregation of volatility models. Journal of Econometrics 119, 355-379. Miller, M. and M. Scholes, 1972, Rates of return in relation to risk: A reexamination of some recent Öndings, in M. Jensen, (Ed.), Studies in the theory of capital markets, Praeger, New York. Officer, R.R., 1972, The Distribution of Stock Returns. Journal of the American Statistical Association 67, 807-812. Ohlson, J. and B. Rosenberg, 1982, Systematic Risk of the CRSP Equal-Weighted Common Stock Index: A History Estimated by Stochastic-Parameter Regression. Journal of Business 55, 121-145. Osborne, M.F.M., 1959, Brownian Motion in the Stock Market. Operations Research 7, 145-173. Peligrad, M. and S. Utev, 2005, A new maximal inequality and invariance principle for stationary sequences. The Annals of Probability 33, 798-815. Petkova, R. and L. Zhang, 2005, Is value riskier than growth? Journal of Financial Economics 78, 187-202. Poterba, J.M. and L.H. Summers, 1988, Mean reversion in stock prices: Evidence and Implications. Journal of Financial Economics 22, 27-59. Praetz, P.D., 1972, The Distribution of Share Price Changes. Journal of Business 45, 49-55. Psillos, S., 2002, Causation and Explanation. Acumen, Chesham, UK. Railton, P., 1978, A Deductive-Nomological Model of Probabilistic Explanation. Philosophy of Science 45, 206-226. Railton, P., 1981, Probability, Explanation, and Information. Synthese 48, 233-256. Roll, R. and S.A. Ross, 1980, An Empirical Investigation of the Arbitrage Pricing Theory. Journal of Finance 35, 1073-1103. Salmon, W.C., 1984, ScientiÖc Explanation: Three Basic Conceptions. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Vol. 1984, Volume Two: Symposia and Invited Papers, 293-305. Salmon, W.C., 1990, Four decades of scientifc explanation. University of Pittsburg Press. Sharpe, W.F., 1964, Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. Journal of Finance 19, 425-442. Sunder, S., 1980, Stationarity of Market Risk: Random Coefficients Tests for Individual Stocks. Journal of Finance 35, 883-896. Upton, D.E. and D.S. Shannon, 1979, The Stable Paretian Distribution, Subordinated Stochastic Processes, and Asymptotic Lognormality: An Empirical Investigation. Journal of Finance 34, 1031-1039. Zhang, L., 2005, The value premium. Journal of Finance 60, 67-103. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/122254 |