Abstract
Securities selection is the attempt to distinguish prospective winners from losers – conditional on beliefs and available information. This article surveys some relevant academic research on the subject, including work about the combining of forecasts (Operational Research Quarterly 20, 451–468, 1969), the Black-Litterman model (Journal of Fixed Income 1(2), 7–18, 1991; Financial Analysts Journal (September/October) 28–43, 1992), the combining of Bayesian priors and regression estimates (Journal of Finance 55(1), 179–223, 2000), model uncertainty and Bayesian model averaging (Statistical Science 14(4), 382–417, 1999; Review of Financial Studies 15(4), 1223–1249, 2002), the theory of competitive storage (Review of Economic Studies 59, 1–23, 1992), and the combination of valuation estimates (Review of Accounting Studies 12(2–3), 227–256, 2007). Despite its wide-ranging applicability, the Bayesian approach is not a license for data snooping. The second half of this article describes common pitfalls in fundamental analysis and comments on the role of theoretical guidance in mitigating these pitfalls.
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Notes
- 1.
The author’s equity-valuation students enrolled in an MBA elective at a leading business school choose to take weighted averages of their valuation estimates even though nothing in the class materials advises them to combine estimates. When asked why they do this, students report they learned to do this at work, other classes, or that weighing makes common sense. The students do not articulate how they determine their weights, and the weights vary greatly between students.
- 2.
Net asset value is the liquidation value of assets minus the fair or settlement value of liabilities. Net asset value is not the same as accounting “book” value. Book value, because it derives from historical cost accounting, arcane accounting depreciation formulas, and accounting rules that forbid the recognition of valuable intangible assets, is known to be an unreliable (typically conservatively biased) estimate of net asset value.
- 3.
The Internal Revenue Code addresses the valuation of closely held securities in Section 2031(b). The standard of value is “fair market value,” the price at which willing buyers or sellers with reasonable knowledge of the facts are willing to transact. Revenue Ruling 59–60 (1959–1 C.B. 237) sets forth the IRS’s interpretation of IRC Section 2031(b).
- 4.
For example, a large block trade of micro-cap shares may cause temporary price volatility. Non-synchronous trading may cause apparent excessive price stability, as seen in emerging equity markets.
- 5.
Y ∼ Nm, τ2 means Y is normally distributed with mean m and standard deviation τ. Note that we leave the possibility that the standard deviations may be heteroskedatic – nothing in our model requires them to be independent of V.
- 6.
Accounting treatments like mark-to-market accounting or cookie-jar accounting may correlate accounting numbers to market noise. If so, then DCF estimates that rely on accounting numbers to make their cash flow projections may correlate to market noise, so that corr(e I , e)≠0. For this reason, the Appendix provides the generalization of Theorem 11.1 to the case when corr(e I , e) = ρ I ≠0.
- 7.
Bell vs. Kirby Lumber Corp., Del. Supr., 413 A.2d 137 (1980).
- 8.
For comparison, a random number homogeneously distributed between 0 and 1 has average value 50% and standard deviation 28.9%. Since the market value and earnings value weights have significantly smaller spread and their means differ from 50%, it does not appear these weights are homogeneously distributed random variables.
- 9.
Most of my 15 series, including gold, began well after 1901. Only the cotton, corn, and wheat series started in January 1901.
- 10.
While it is unrealistic to believe that investors can trade these commodities at the quoted historical cash prices, a parallel exercise (not reported here) using commodity futures prices would yield similar results.
- 11.
Unfortunately, the theory of storage is still incomplete. As Deaton and Laroque (2003, p. 1) explain, the model, “although capable of introducing some autocorrelation into an otherwise i.i.d. process, appears to be incapable of generating the high degree of serial correlation of most commodity prices. … We are therefore left without a coherent explanation for the high degree of autocorrelation in commodity prices …”
- 12.
- 13.
Yoo (2006) empirically examined, in a large-scale study of Compustat firms, whether taking a linear combination of several univariate method of comparables estimates would achieve more precise valuation estimates than any comparables estimate alone. He concluded that the forward price-earnings ratio essentially beats the trailing ratios, or combination of trailing ratios, so much that combining it with other benchmark estimates does not help. Yoo did not consider DCF, liquidation value, or market price in his study.
References
Altman, E. I. 1968. “Financial ratios, discriminant analysis and the prediction of corporate bankruptcy.” Journal of Finance 23, 589–699.
Ang, A. and J. Liu. 2004. “How to discount cashflows with time-varying expected returns.” Journal of Finance 59(6), 2745–2783.
Armstrong, J. 1989. “Combining forecasts: the end of the beginning or the beginning of the end?” International Journal of Forecasting 5(4), 585–588.
Arnott, R., J. Hsu, and P. Moore. 2005. “Fundamental indexation.” Financial Analysts Journal 61(2), 83–99.
Avramov, D. 2000. “Stock return predictability and model uncertainty.” Journal of Financial Economics 64, 423–458.
Bates, J. and C. Granger. 1969. “The combination of forecasts.” Operational Research Quarterly 20, 451–468.
Beatty, R., S. Riffe, and R. Thompson. 1999. “The method of comparables and tax court valuations of private firms: an empirical investigation.” Accounting Horizons 13(3), 177–199.
Beneish, M., C. Lee, and R. Tarpley. 2001. “Contextual fundamental analysis through the prediction of extreme returns.” Review of Accounting Studies 6(2/3), 165–189.
Bhojraj, S. and C. Lee. 2003. “Who is my peer? A valuation-based approach to the selection of comparable firms.” Journal of Accounting Research, 41(5), 745–774.
Black, F. 1986. “Noise.” Journal of Finance, vol. 16(3), 529–542.
Black, F. and R. Litterman. 1991. “Asset allocation: combining investor views with market equilibrium.” Journal of Fixed Income 1(2), 7–18.
Black, F. and R. Litterman. 1992. “Global portfolio optimization.” Financial Analysts Journal (September/October) 28–43.
Chan, L. and J. Lakonishok. 2004. “Value and growth investing: review and update.” Financial Analysts Journal 60(1), 71–87.
Chen, F., K. Yee, and Y. Yoo. 2007. “Did adoption of forward-looking methods improve valuation accuracy in shareholder litigation?” Journal of Accounting, Auditing, and Finance 22(4), 573–598.
Chen, F., K. Yee, and Y. Yoo. 2010. “Robustness of judicial decisions to valuation-method innovation: an exploratory empirical study.” Journal of Business, Accounting, and Finance, forthcoming.
Clemen, R. 1989. “Combining forecasts: a review and annotated bibliography.” International Journal of Forecasting 5, 559–583.
Clemen, R. and R. Winkler. 1986. “Combining economic forecasts.” Journal of Economic and Business Statistics 4, 39–46.
Coulson, N. and R. Robins. 1993. “Forecast combination in a dynamic setting.” Journal of Forecasting 12, 63–67.
Crack, T. 1999. “A classic case of “data snooping” for classroom discussion.” Journal of Financial Education 92–97.
Cremers, K. 2002. “Stock return predictability: a Bayesian model selection perspective.” Review of Financial Studies 15(4), 1223–1249.
Damodaran, A. 2002. Investment valuation: tools and techniques for determining the value of any asset, 2nd ed., Wiley, NY.
Daniel, K., D. Hirshleifer, and A. Subrahmanyam. 2001. “Overconfidence, Arbitrage, and Equilibrium Asset Pricing.” Journal of Finance 56(3), 921–965.
Deaton, A. and G. Laroque. 1992. “On the behavior of commodity prices.” Review of Economic Studies 59, 1–23.
Deaton, A. and G. Laroque. 2003. “A model of commodity prices after Sir Arthur Lewis.” Journal of Development Economics 71, 289–310.
Diebold, F. 1988. “Serial correlation and the combination of forecasts.” Journal of Business and Economic Statistics 6, 105–111.
Diebold, F. and J. Lopez. 1996. “Forecast evaluation and combination,” in Handbook of statistics, G. S. Maddala and C. R. Rao (Eds.). North Holland, Amsterdam.
Diebold, F. and P. Pauly. 1987. “Structural change and the combination of forecasts.” Journal of Forecasting 6, 21–40.
Fama, E. and K. French. 1992. “The cross-section of expected stock returns.” Journal of Finance 47, 427–465.
Feltham, G. and J. Ohlson. 1999. “Residual earnings valuation with risk and stochastic interest rates.” Accounting Review 74(2), 165–183.
Fung, W. and D. Hsieh. 2001. “The risk in hedge fund strategies: theory and evidence from trend followers.” Review of Financial Studies 14, 313–341.
Gilson, S., E. Hotchkiss, and R. Ruback. 2000. “Valuation of bankrupt firms.” Review of Financial Studies 13(1), 43–74.
Gorton, G., F. Hayashi, and K. Rouwenhorst. 2007. The fundamentals of commodity futures, Yale working paper.
Granger, C. and P. Newbold. 1973. “Some comments on the evaluation of economic forecasts.” Applied Economics 5, 35–47.
Granger, C. and R. Ramanathan. 1984. “Improved methods of forecasting.” Journal of Forecasting 3, 197–204.
Grinold, R. 1989. “The fundamental law of active management.” Journal of Portfolio Management 15(3), 30–37.
He, G. and R. Litterman. 1999. The Intuition Behind Black-Litterman Model Portfolios. Investment Management Division, Goldman Sachs.
Hoeting, J., D. Madigan, A. Raftery, and C. Volinsky. 1999. “Bayesian model averaging: a tutorial.” Statistical Science 14(4), 382–417.
Kahn, J., S. Landsburg, and A. Stockman. 1996. “The positive economics of methodology.” Journal of Economic Theory 68(1), 64–76.
Kaldor, N. 1939. “Speculation and economic stability.” Review of Economic Studies 7, 1–27.
Kaplan, S. and R. Ruback. 1995. “The valuation of cash flow forecasts: an empirical analysis.” Journal of Finance 50(4), 1059–1093.
Klarman, S. 1991. Margin of safety: risk-averse value investing strategies for the thoughtful investor, HarperBusiness, New York, NY.
Klein, R. and V. Bawa. 1976. “The effect of estimation risk on optimal portfolio choice.” Journal of Financial Economics 3, 215–231.
Lewellen, J. and J. Shanken. 2002. “Learning, asset-pricing tests, and market efficiency.” Journal of Finance, 57(3), 1113–1145.
Lie, E. and H. Lie. 2002. “Multiples used to estimate corporate value.” Financial Analysts Journal 58(2), 44–53.
Litzenberger, R. and N. Rabinowitz. 1995. “Backwardation in oil futures markets: theory and empirical evidence.” Journal of Finance 50(5), 1517–1545.
Liu, D., D. Nissim, and J. Thomas. 2001. “Equity valuation using multiples.” Journal of Accounting Research 40, 135–172.
Lo, A. 2007. Where do alphas come from? A new measure of the value of active investment management, Working paper, Sloan School of Business.
Lo, A. and A. MacKinlay. 1990. “Data snooping biases in tests of financial asset pricing models.” Review of Financial Studies 3, 431–468.
Ohlson, J. 1980. “Financial ratios and the probabilistic prediction of bankruptcy.” Journal of Accounting Research 18(1), 109–131.
Ohlson, J. and Z. Gao. 2006. “Earnings, earnings growth and value.” Foundations and Trends in Accounting 1(1), 1–70.
Pastor, L. 2000. “Portfolio selection and asset pricing models.” Journal of Finance 55(1), 179–223.
Pastor, L. and R. Stambaugh. 1999. “Cost of equity capital and model mispricing.” Journal of Finance 54(1), 67–121.
Penman, S. 2001. Financial statement analysis and security valuation. McGraw-Hill, Boston.
Perold, A. 2007. “Fundamentally flawed indexing.” Financial Analysts Journal 63(6), 31–37.
Piotroski, J. 2000. “Value investing: the use of historical financial statement information to separate winners from losers.” Journal of Accounting Research 38 (Supplement), 1–41.
Seligman, J. 1984. “Reappraising the appraisal remedy.” George Washington Law Review 52, 829.
Sharfman, K. 2003. “Valuation averaging: a new procedure for resolving valuation disputes.” Minnesota Law Review 88(2), 357–383.
Siegel, J. 2006. “The noisy market hypothesis.” Wall Street Journal June 14, 2006, A14.
Sullivan, R., A. Timmermann, and H. White. 1999. “Data-snooping, technical trading rule performance, and the bootstrap.” Journal of Finance 54(5), 1647–1691.
Treynor, J. and F. Black. 1973. “How to use security analysis to improve portfolio selection.” Journal of Business 46, 66–86.
White, H. 2000. “Reality check for data snooping.” Econometrica 68(5), 1097–1126.
Yee, K. 2002. “Judicial valuation and the rise of DCF.” Public Fund Digest 76, 76–84.
Yee, K. 2004a. “Perspectives: combining value estimates to increase accuracy.” Financial Analysts Journal 60(4), 23–28.
Yee, K. 2004b. “Forward versus trailing earnings in equity valuation.” Review of Accounting Studies 9(2–3), 301–329.
Yee, K. 2005a. “Aggregation, dividend irrelevancy, and earnings-value relations.” Contemporary Accounting Research 22(2), 453–480.
Yee, K. 2005b. “Control premiums, minority discounts, and optimal judicial valuation.” Journal of Law and Economics 48(2), 517–548.
Yee, K. 2007. “Using accounting information for consumption planning and equity valuation.” Review of Accounting Studies 12(2–3), 227–256.
Yee, K. 2008a. “A Bayesian framework for combining value estimates.” Review of Quantitative Finance and Accounting 30(3), 339–354.
Yee, K. 2008b. “Deep-value investing, fundamental risks, and the margin of safety.” Journal of Investing, 17(3), 35–46.
Yee, K. 2008c. “Dueling experts and imperfect verification.” International Review of Law and Economics 28(4), 246–255.
Yoo, Y. 2006. “The valuation accuracy of equity valuation using a combination of multiples.” Review of Accounting and Finance 5(2), 108–123.
Zellner, A. and V. Chetty. 1965. “Prediction and decision problems in regression models from the Bayesian point of view.” Journal of American Statistical Association 60, 608–616.
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The statements and opinions expressed in this article are those of the author as of the date of the article and do not necessarily represent the views of the Bank of New York Mellon, Mellon Capital Management, or any of their affiliates. This article does not offer investment advice.
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Yee, K.K. (2010). Combining Fundamental Measures for Stock Selection. In: Lee, CF., Lee, A.C., Lee, J. (eds) Handbook of Quantitative Finance and Risk Management. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-77117-5_11
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