Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-18T07:51:26.114Z Has data issue: false hasContentIssue false

Inferring Aggregate Market Expectations from the Cross Section of Stock Prices

Published online by Cambridge University Press:  11 April 2023

Turan G. Bali
Affiliation:
Georgetown University McDonough School of Business turan.bali@georgetown.edu
D. Craig Nichols
Affiliation:
Syracuse University Whitman School of Management dcnichol@syr.edu
David Weinbaum*
Affiliation:
Syracuse University Whitman School of Management
*
dweinbau@syr.edu (corresponding author)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We introduce a new approach to estimating long-term aggregate discount rates using the cross section of earnings and book values to explain current stock prices and extract expected market returns. The proposed discount rate measure is countercyclical. Shocks to it account for nearly half of historical market return variation; in contrast, shocks to other discount rate measures account for no more than 2%. It dominates other measures in explaining time-series variation in returns on duration-sorted portfolios and delivers out-of-sample predictability that exceeds that afforded by other expected return measures and predictive variables. It also performs well in international equity markets.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of the Michael G. Foster School of Business, University of Washington

Footnotes

We are grateful to an anonymous referee and Thierry Foucault (the editor) for constructive and insightful comments that greatly improved the article. We also thank Geert Bekaert, Michael Brandt, Hui Guo, Michael Halling, Volkan Muslu (CFMA discussant), Jim Ohlson, Sergei Sarkissian, Ivo Welch, Robert Whitelaw, Jeff Wurgler, Nir Yehuda, Tim Zhang (AAA discussant), and conference participants at the 2017 American Accounting Association meeting and the 2019 Conference on the Convergence of Financial and Managerial Accounting Research for helpful comments and suggestions, and Yan Li and David Ng for sharing their aggregate implied cost of capital data. David Weinbaum gratefully acknowledges research support from the Harris Fellowship in Finance. All errors remain our responsibility.

References

Barth, M.; Beaver, W.; and Landsman, W.. “The Relevance of the Value Relevance Literature for Financial Accounting Standard Setting: Another View.” Journal of Accounting and Economics, 31 (2001), 77104.CrossRefGoogle Scholar
Barth, M.; Li, K.; and McClure, C.. “Evolution in Value Relevance of Accounting Information.” Working Paper, Stanford University (2018).CrossRefGoogle Scholar
Beaver, W.; Lambert, R.; and Morse, D.. “The Information Content of Security Prices.” Journal of Accounting and Economics, 2 (1980), 328.CrossRefGoogle Scholar
Bernard, V. “Accounting-Based Valuation Methods, Determinants of Book-to-Market Ratios, and Implications for Financial Statement Analysis.” Working Paper, University of Michigan (1994).Google Scholar
Bordalo, P.; Gennaioli, N.; La Porta, R.; and Shleifer, A.. “Belief Overreaction and Stock Market Puzzles.” Working Paper, Harvard University (2022).Google Scholar
Campbell, J.Variance Decomposition for Stock Returns.” Economic Journal, 101 (1991), 157179.CrossRefGoogle Scholar
Campbell, J., and Shiller, R.. “Stock Prices, Earnings and Expected Dividends.” Journal of Finance, 43 (1988), 661676.CrossRefGoogle Scholar
Campbell, J., and Thompson, S.. “Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average?Review of Financial Studies, 21 (2008), 15091531.CrossRefGoogle Scholar
Campbell, J., and Vuolteenaho, T.. “Bad Beta, Good Beta.” American Economic Review, 94 (2004), 12491275.CrossRefGoogle Scholar
Chan, L.; Karceski, J.; and Lakonishok, J.. “The Level and Persistence of Growth RatesJournal of Finance, 56 (2003), 643684.CrossRefGoogle Scholar
Chen, L.; Da, Z.; and Zhao, X.. “What Drives Stock Price Movement?Review of Financial Studies, 26 (2013), 841876.CrossRefGoogle Scholar
Clark, T., and West, K.. “Approximately Normal Tests for Equal Predictive Accuracy in Nested Models.” Journal of Econometrics, 138 (2007), 291311.CrossRefGoogle Scholar
Cochrane, J. Asset Pricing. Princeton, NJ: Princeton University Press (2005).Google Scholar
Cochrane, J.Presidential Address: Discount Rates.” Journal of Finance, 66 (2011), 10471108.CrossRefGoogle Scholar
Cochrane, J. Detailed Notes on Predictability (2015). Available on John Cochrane’s web page (https://www.johnhcochrane.com/s/mooc_time_series_long_notes.pdf).Google Scholar
Collins, D.; Kothari, S.; Shanken, J.; and Sloan, R.. “Lack of Timeliness Versus Noise as Explanations for Low Contemporaneous Return-Earnings Association.” Journal of Accounting and Economics, 18 (1994), 289324.CrossRefGoogle Scholar
Dechow, P. M., and Ge, W.. “The Persistence of Earnings and Cash Flows and the Role of Special Items: Implications for the Accrual Anomaly.” Review of Accounting Studies, 11 (2006), 253296.CrossRefGoogle Scholar
Dechow, P.; Hutton, A.; and Sloan, R.. “An Empirical Assessment of the Residual Income Valuation Model.” Journal of Accounting and Economics, 26 (1999), 134.CrossRefGoogle Scholar
Dechow, P.; Sloan, R.; and Soliman, M.. “Implied Equity Duration: A New Measure of Equity Risk.” Review of Accounting Studies, 9 (2004), 197228.CrossRefGoogle Scholar
Easton, P.; Taylor, G.; Shroff, P.; and Sougiannis, T.. “Using Forecasts of Earnings to Simultaneously Estimate Growth and the Rate of Return on Equity Investment.” Journal of Accounting Research, 40 (2002), 657676.CrossRefGoogle Scholar
Edwards, E., and Bell, P.. The Theory and Measurement of Business Income. Berkeley, CA: University of California Press (1961).CrossRefGoogle Scholar
Fairfield, P.; Sweeney, R.; and Yohn, T.. “Accounting Classification and the Predictive Content of Earnings.” Accounting Review, 71 (1996), 337355.Google Scholar
Fama, E. F., and French, K. R.. “Dissecting Anomalies with a Five-Factor Model.” Review of Financial Studies, 29 (2016), 69103.CrossRefGoogle Scholar
Gebhardt, W.; Lee, C.; and Swaminathan, B.. “Toward an Implied Cost of Capital.” Journal of Accounting, Research 39 (2001), 135176.CrossRefGoogle Scholar
Gode, D., and Mohanram, P.. “Inferring the Cost of Capital Using the Ohlson–Juettner Model.” Review of Accounting Studies, 8 (2003), 399431.CrossRefGoogle Scholar
Gonçalves, A.The Short Duration Premium.” Journal of Financial Economics, 141 (2021), 919945.CrossRefGoogle Scholar
Gormsen, N.Time Variation of the Equity Term Structure.” Journal of Finance, 76 (2021), 19591999.CrossRefGoogle Scholar
Gormsen, N., and Lazarus, E.. “Duration-Driven Returns.” Journal of Finance, forthcoming, (2023).CrossRefGoogle Scholar
Hodrick, R. J.Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement.” Review of Financial Studies, 5 (1992), 357386.CrossRefGoogle Scholar
Hou, K.; van Dijk, M.; and Zhang, Y.. “The Implied Cost of Capital: A New Approach.” Journal of Accounting and Economics, 53 (2012), 504526.CrossRefGoogle Scholar
Kelly, B., and Pruitt, S.. “Market Expectations in the Cross‐Section of Present Values.” Journal of Finance, 98 (2013), 17211756.CrossRefGoogle Scholar
Kelly, B., and Pruitt, S.. “The Three-Pass Regression Filter: A New Approach to Forecasting Using Many Predictors.” Journal of Econometrics, 186 (2015), 294316.CrossRefGoogle Scholar
Keloharju, M.; Linnainmaa, J.; and Nyberg, P.. “Long-Term Discount Rates Do Not Vary Across Firms.” Journal of Financial Economics, 141 (2021), 946967.CrossRefGoogle Scholar
Kormendi, R., and Lipe, R.. “Earnings Innovations, Earnings Persistence, and Stock Returns.” Journal of Business, 60 (1987), 323345.CrossRefGoogle Scholar
La Porta, R.Expectations and the Cross-Section of Stock Returns.” Journal of Finance, 51 (1996), 17151742.Google Scholar
Lee, C.; Myers, J.; and Swaminathan, B.. “What is the Intrinsic Value of the Dow?Journal of Finance, 54 (1999), 16931741.CrossRefGoogle Scholar
Lee, C.; Ng, D.; and Swaminathan, B.. “Testing International Asset Pricing Models using Implied Costs of Capital.” Journal of Financial and Quantitative Analysis, 44 (2009), 307335.CrossRefGoogle Scholar
Lettau, M., and Wachter, J.. “Why is Long-Horizon Equity Less Risky? A Duration-Based Explanation of the Value Premium.” Journal of Finance, 62 (2007), 5592.CrossRefGoogle Scholar
Lettau, M., and Wachter, J.. “The Term Structures of Equity and Interest Rates.” Journal of Financial Economics, 101 (2011), 90113.CrossRefGoogle Scholar
Li, Y.; Ng, D.; and Swaminathan, B.. “Predicting Stock Market Returns Using the Aggregate Implied Cost of Capital.” Journal of Financial Economics, 110 (2013), 419436.CrossRefGoogle Scholar
Lundholm, R., and Myers, L.. “Bringing the Future Forward: The Effect of Disclosure on the Returns-Earnings Relation.” Journal of Accounting Research, 40 (2002), 809839.CrossRefGoogle Scholar
Lyle, M., and Wang, C.. “The Cross Section of Expected Holding Period Returns and their Dynamics: A Present Value Approach.” Journal of Financial Economics, 116 (2015), 505525.CrossRefGoogle Scholar
Martin, I., and Wagner, C.. “What Is the Expected Return on a Stock?Journal of Finance, 74 (2019), 18871929.CrossRefGoogle Scholar
Mohanram, P., and Gode, D.. “Removing Predictable Analyst Forecast Errors to Improve Implied Cost of Equity Estimates.” Review of Accounting Studies, 18 (2013), 443478.CrossRefGoogle Scholar
Nekrasov, A., and Ogneva, M.. “Using Earnings Forecasts to Simultaneously Estimate Firm-Specific Cost of Equity and Long-term Growth.” Review of Accounting Studies, 16 (2011), 414457.CrossRefGoogle Scholar
Newey, W., and West, K.. “A Simple Positive, Semidefinite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix.” Econometrica, 29 (1987), 229256.Google Scholar
Ohlson, J.Earnings, Book Values and Dividends in Security Valuation.” Contemporary Accounting Research, 11 (1995), 661687.CrossRefGoogle Scholar
Ohlson, J.On Transitory Earnings.” Review of Accounting Studies, 4 (1999), 145162.CrossRefGoogle Scholar
Ohlson, J., and Juettner-Nauroth, B.. “Expected EPS and EPS Growth as Determinants of Value.” Review of Accounting Studies, 10 (2005), 349356.CrossRefGoogle Scholar
Ohlson, J., and Kim, S.. “Linear Valuation without OLS: The Theil–Sen Estimation Approach.” Review of Accounting Studies, 20 (2015), 395435.CrossRefGoogle Scholar
Pástor, L.; Sinha, M.; and Swaminathan, B.. “Estimating the Intertemporal Risk-Return Tradeoff Using the Implied Cost of Capital.” Journal of Finance, 63 (2008), 28592897.CrossRefGoogle Scholar
Peng, H.; Wang, S.; and Wang, X.. “Consistency and Asymptotic Distribution of the Theil–Sen Estimator.” Journal of Statistical Planning and Inference, 138 (2008), 18361850.CrossRefGoogle Scholar
Polk, C.; Thomson, S.; and Vuolteenaho, T.. “Cross-Sectional Forecasts of the Equity Premium.” Journal of Financial Economics, 81 (2006), 101141.CrossRefGoogle Scholar
Preinreich, G.Annual Survey of Economic Theory: The Theory of Depreciation.” Econometrica, 6 (1938), 219241.CrossRefGoogle Scholar
Sen, P. K.Estimates of the Regression Coefficient Based on Kendall’s tau.” Journal of the American Statistical Association, 63 (1968), 13791389.CrossRefGoogle Scholar
Stambaugh, R.Predictive Regressions.” Journal of Financial Economics, 54 (1999), 375421.CrossRefGoogle Scholar
Theil, H.A Rank-Invariant Method of Linear and Polynomial Regression Analysis.” Nederlandse Akademie Wetenchappen Series A, 53 (1950), 386392.Google Scholar
Vuolteenaho, T.What Drives Firm-Level Stock Returns?Journal of Finance, 57 (2002), 233264.CrossRefGoogle Scholar
Weber, M.Cash flow Duration and the Term Structure of Equity Returns.” Journal of Financial Economics, 128 (2018), 486503.CrossRefGoogle Scholar
Welch, I., and Goyal, A.. “A Comprehensive Look at the Empirical Performance of Equity Premium Prediction.” Review of Financial Studies, 21 (2008), 14551508.CrossRefGoogle Scholar
Wilcox, R. R. Fundamentals of Modern Statistical Methods: Substantially Improving Power and Accuracy, 2nd ed. New York City, NY: Springer (2010).CrossRefGoogle Scholar
Supplementary material: PDF

S0022109023000455sup001.pdf

Bali et al. supplementary material

Download S0022109023000455sup001.pdf(PDF)
PDF 2 MB