Galton's Error and the under-representation of systematic risk
Our methodology of 'complete identification,' using simple algebraic geometry, throws new light on the continued commitment of Galton's Error in finance and the resulting misinformation of investors. Mutual funds conventionally advertise their relative systematic market risk, or 'betas,' to potential investors based on incomplete measurement by unidirectional bivariate projections: they commit Galton's Error by under-representing their systematic risk. Consequently, far too many mutual funds are marketed as 'defensive' and too few as 'aggressive.' Using our new methodology we found that, out of a total of 3,217 mutual funds, 2,047 funds (63.7%) claimed to be defensive based on the current industry standard methodology, but only 608 (18.9%) actually are. This under-representation of systematic risk leads to inefficiencies in the capital allocation process, since biased betas lead to mis-pricing of mutual funds. Our complete bivariate projection produces a correct representation of the epistemic uncertainty inherent in the bivariate measurement of relative market risk. Our conclusions have also serious consequences for the proper 'bench-marking' and recent regulatory proposals for the mutual funds industry.
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- Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
- Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1.
- William F. Sharpe, 1963. "A Simplified Model for Portfolio Analysis," Management Science, INFORMS, vol. 9(2), pages 277-293, January.
- Ross, Stephen A., 1976.
"The arbitrage theory of capital asset pricing,"
Journal of Economic Theory,
Elsevier, vol. 13(3), pages 341-360, December.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 2-73, Wharton School Rodney L. White Center for Financial Research.
- Stephen A. Ross, "undated". "The Arbitrage Theory of Capital Asset Pricing," Rodney L. White Center for Financial Research Working Papers 02-73, Wharton School Rodney L. White Center for Financial Research.
- Magnus, J.R. & Morgan, M.S., 1995. "An experiment in applied econometrics," Other publications TiSEM a61c0907-aba4-4d79-9b0e-7, Tilburg University, School of Economics and Management.
- Klepper, Steven & Leamer, Edward E, 1984. "Consistent Sets of Estimates for Regressions with Errors in All Variables," Econometrica, Econometric Society, vol. 52(1), pages 163-183, January.
- Cornelis A. Los, 1991. "A Scientific View of Economic Data Analysis: Reply," Eastern Economic Journal, Eastern Economic Association, vol. 17(4), pages 526-531, Oct-Dec.
- Cornelis A. Los, 1986. "Collinearity analysis of a simple money demand equation," Research Paper 8604, Federal Reserve Bank of New York.
- Los, Cornelis A., 1998. "Optimal multi-currency investment strategies with exact attribution in three Asian countries," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 169-198, September.
- Cornelis A. Los, 2004. "Optimal Multi-Currency Investment Strategies with Exact Attribution in Three Asian Countries," Finance 0409047, EconWPA.
- Cornelis A. Los, 1991. "A Scientific View of Economic Data Analysis," Eastern Economic Journal, Eastern Economic Association, vol. 17(1), pages 61-71, Jan-Mar.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
- Harvey, Campbell R, 1991. " The World Price of Covariance Risk," Journal of Finance, American Finance Association, vol. 46(1), pages 111-157, March.
- Chichilnisky, Graciela, 1996. "Markets with endogenous uncertainty: theory and policy," MPRA Paper 8612, University Library of Munich, Germany.
- Altman, Edward I. & Haldeman, Robert G. & Narayanan, P., 1977. "ZETATM analysis A new model to identify bankruptcy risk of corporations," Journal of Banking & Finance, Elsevier, vol. 1(1), pages 29-54, June.
- Zimmerman, David J, 1992. "Regression toward Mediocrity in Economic Stature," American Economic Review, American Economic Association, vol. 82(3), pages 409-429, June. Full references (including those not matched with items on IDEAS)