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On empirical risk measurement with asymmetric returns data

By Christian S. Pedersen and Soosung Hwang

Abstract

By formulating a nested test of the asymmetric response model of Bawa, Brown, and Klein (1981), the mean-lower partial moment CAPM (LPMCAPM) of Bawa and Lindenberg (1977) and the mean-variance CAPM of Sharpe (1963, 1964), Lintner (1965) and Mossin (1969), this paper investigates the relative merits of symmetric and asymmetric risk measures using UK equity data for differently sized companies and at different frequencies. Our analysis shows that, when equity returns are not normal - which is the case for most daily and weekly returns, and for a large portion of smaller firms - the CAPM is rejected in 30%-50% of cases, and the optimal choice of alternative model is LPM-CAPM in over two thirds of these. These, and our further results, have strong consequences for the accurate measurement of equity risk, performance and prices, as downside and/or asymmetric risk measures often outperform the traditional CAPM framework, thus rendering it’s related and widely-used current approaches sub-optimal for some company sizes/data frequency combinations

Topics: HG, HD61
Publisher: Warwick Business School, Financial Econometrics Research Centre
Year: 2002
OAI identifier: oai:wrap.warwick.ac.uk:1809

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Citations

  1. (1983). A characterisation of the distributions that imply meanvariance utility functions. doi
  2. (1963). A Simplified model for portfolio analysis. doi
  3. (1979). An analysis of risk in Bull and Bear markets. doi
  4. (1982). An examination of risk-return relationship in bull and bear markets using time-varying betas. doi
  5. (1998). An extended family of financial risk measures. doi
  6. (1989). Asset-pricing in a generalised mean-lower partial moment framework : Theory and evidence. doi
  7. (1981). Asymmetric response asset pricing models: Testable alternatives to mean-variance.
  8. (1999). Autoregressive Conditional Skewness. doi
  9. (1964). Capital asset prices : A theory of capital market equilibrium under conditions of risk. doi
  10. (1977). Capital market equilibrium in a mean-lower partial moment framework. doi
  11. (1972). Capital markets : Theory and evidence. doi
  12. (1991). Downside risk. doi
  13. (1998). Empirical tests for di erences in equilibrium risk measure with application to downside risk in small and large UK companies. Cambridge Discussion Papers in Accounting and Finance,
  14. (1978). Estimating the dimension of a model. doi
  15. (1993). Estimation and inference in econometrics. doi
  16. (1973). Evidence on the ’growth-optimum’ model. doi
  17. (1995). Failures, acquisitions and post-merger success: The comparative financial characteristics of large and small companies.
  18. (1994). Finance and the small firm. doi
  19. (1980). Foundations of risk measurement : I. Risk as a probability of loss. doi
  20. (1999). Four Essays on Risk in Finance.
  21. (1965). How to rate management of investment funds. Harvard Business Review, 63—75.Table 1 Returns on FTSE All-Share Index Frequency Maximum Minimum Mean Standard Deviation Skewness Excess
  22. (1980). Increasing downside risk.
  23. (1973). Information theory and an extension of the Maximum Likelihood Principle. Akademiai Kaido. doi
  24. (1992). Introduction to Econometrics. doi
  25. (1981). Investment policy implications of the capital asset pricing model. doi
  26. (1996). Lower partial moment capital asset pricing model : A reexamination. doi
  27. (1984). Market timing and mutual fund performance: An empirical investigation. doi
  28. (1993). Mean-risk analysis of risk aversion and wealth e ects on optimal portfolios with multiple investment opportunities. doi
  29. (1984). Measuring investment risk: a review. doi
  30. (1996). Mutual fund performance. doi
  31. (1979). Mutual fund systematic risk for bull and bear markets: an empirical investigation. doi
  32. (1996). Non-normality of returns in emerging markets.
  33. (2000). Nonlinear Pricing Kernles, Kurtosis Preferences, and Evidence from the Cross-Section of Equity Returns. Working Paper, Indiana University.On Empirical Risk Measurement With Asymmetric Returns
  34. (1981). On market timing and investment performance. II statistical procedures for evaluating forecasting skills. doi
  35. (1994). On variance and lower partial moment betas and the equivalence of systematic risk measures. doi
  36. (1975). Optimal rules for ordering uncertain prospects. doi
  37. (1994). Performance measurement in a downside risk framework. doi
  38. (1952). Portfolio selection. doi
  39. (1989). Probability and Statistics. doi
  40. (1969). Security pricing and investment criteria in competitive markets.
  41. (1999). Separating risk and return in the CAPM: A general utility-based approach. doi
  42. (1999). Small sample analysis of performance measures in the asymmetric response model. Institute for Financial Research Discussion Papers, Birkbeck College,
  43. (1977). Stability tests for alphas and betas over bull and bear market conditions. doi
  44. (1995). Statistical modelling of asymmetric risk in asset returns. doi
  45. (2001). The Asset Allocation Decision in a Loss Aversion World, Financial Econometrics Research Centre, Working Paper WP01-7,
  46. (1995). The CAPM debate.
  47. (1998). The Hoare Govett smaller companies index 1995-1997.
  48. (1987). The performance of small firms. Croom Helm.
  49. (1985). The Theory and Practice of Econometrics. Wiley and sons, 2nd edition.
  50. (1965). The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. doi
  51. (1987). Theory of financial decision making. Rowman and Littlefield Publishers Inc.On Empirical Risk Measurement With Asymmetric Returns
  52. (1990). Variance and lower partial moment betas as alternative risk measures in cost of capital estimation: A defence of the CAPM beta. doi
  53. (1982). Variance and lower partial moment measures of systematic risk: Some analytical and empirical results. doi

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