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Upper Bounds on Return Predictability

Published online by Cambridge University Press:  21 April 2017

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Abstract

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Can the degree of predictability found in data be explained by existing asset pricing models? We provide two theoretical upper bounds on the R2 of predictive regressions. Using data on the market portfolio and component portfolios, we find that the empirical R2s are significantly greater than the theoretical upper bounds. Our results suggest that the most promising direction for future research should aim to identify new state variables that are highly correlated with stock returns instead of seeking more elaborate stochastic discount factors.

Type
Research Article
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2017 

References

Abel, A.Asset Prices under Habit Formation and Catching Up with the Joneses.” American Economic Review, 80 (1990), 3842.Google Scholar
Acharya, V., and Pedersen, L. H.. “Asset Pricing with Liquidity Risk.” Journal of Financial Economics, 77 (2005), 374410.CrossRefGoogle Scholar
Adrian, T.; Etula, E.; and Muir, T.. “Financial Intermediaries and the Cross-Section of Asset Returns.” Journal of Finance, 69 (2014), 25572596.CrossRefGoogle Scholar
Baker, M., and Wurgler, J.. “The Equity Share in New Issues and Aggregate Stock Returns.” Journal of Finance, 55 (2000), 22192257.CrossRefGoogle Scholar
Bakshi, G., and Chabi-Yo, F.. “Variance Bounds on the Permanent and Transitory Components of Stochastic Discount Factors.” Journal of Financial Economics, 105 (2012), 191208.CrossRefGoogle Scholar
Bansal, R.; Kiku, D.; Shaliastovich, I.; and Yaron, A.. “Volatility, the Macroeconomy, and Asset Prices.” Journal of Finance, 69 (2014), 24712511.CrossRefGoogle Scholar
Bansal, R.; Kiku, D.; and Yaron, A.. “An Empirical Evaluation of the Long-Run Risks Model for Asset Prices.” Critical Finance Review, 1 (2012), 183221.CrossRefGoogle Scholar
Bansal, R., and Yaron, A.. “Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles.” Journal of Finance, 59 (2004), 14811509.CrossRefGoogle Scholar
Baron, M., and Xiong, W.. “Credit Expansion and Neglected Crash Risk.” Quarterly Journal of Economics, forthcoming (2017).CrossRefGoogle Scholar
Barro, R. J.Rare Disasters and Asset Markets in the Twentieth Century.” Quarterly Journal of Economics, 121 (2006), 823866.CrossRefGoogle Scholar
Barro, R. J., and Ursúa, J. F.. “Rare Macroeconomic Disasters.” Annual Review of Economics, 4 (2012), 83109.CrossRefGoogle Scholar
Bekaert, G., and Liu, J.. “Conditional Information and Variance Bounds on Pricing Kernels.” Review of Financial Studies, 17 (2004), 339378.CrossRefGoogle Scholar
Bianchi, F.; Lettau, M.; and Ludvigson, S. C.. “A Markov Switching cay.” Working Paper, New York University (2014).Google Scholar
Brunnermeier, M. K., and Pedersen, L. H.. “Market Liquidity and Funding Liquidity.” Review of Financial Studies, 22 (2009), 22012238.CrossRefGoogle Scholar
Campbell, J. Y.Stock Returns and Term Structure.” Journal of Financial Economics, 18 (1987), 373399.CrossRefGoogle Scholar
Campbell, J. Y., and Cochrane, J. H.. “By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior.” Journal of Political Economy, 107 (1999), 205251.CrossRefGoogle Scholar
Campbell, J. Y., and Shiller, R.. “Stock Prices, Earnings, and Expected Dividends.” Journal of Finance, 43 (1988), 661676.CrossRefGoogle Scholar
Campbell, J., and Vuolteenaho, T.. “Inflation Illusion and Stock Prices.” American Economic Review, 94 (2004), 1923.CrossRefGoogle Scholar
Cochrane, J. H.Production-Based Asset Pricing and the Link between Stock Returns and Economic Fluctuations.” Journal of Finance, 46 (1991), 209237.Google Scholar
Cochrane, J. H. Asset Pricing. Princeton, NJ: Princeton University Press (2005).Google Scholar
Cochrane, J. H., and Saá-Requejo, J.. “Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets.” Journal of Political Economy, 108 (2000), 79119.CrossRefGoogle Scholar
Constantinides, G. M., and Ghosh, A.. “Asset Pricing Tests with Long-Run Risks in Consumption Growth.” Review of Asset Pricing Studies, 1 (2011), 96136.CrossRefGoogle Scholar
Cooper, I., and Priestley, R.. “Time-Varying Risk Premiums and the Output Gap.” Review of Financial Studies, 22 (2009), 28012833.CrossRefGoogle Scholar
Epstein, L., and Zin, S.. “Substitution, Risk Aversion, and Temporal Behavior of Consumption and Asset Returns II: An Empirical Analysis.” Journal of Political Economy, 99 (1991), 263286.CrossRefGoogle Scholar
Fama, E., and French, K.. “Dividend Yields and Expected Stock Returns.” Journal of Financial Economics, 22 (1988), 325.CrossRefGoogle Scholar
Fama, E., and French, K.. “Common Risk Factors in the Returns on Stock and Bonds.” Journal of Financial Economics, 33 (1993), 356.CrossRefGoogle Scholar
Fama, E., and Schwert, G. W.. “Asset Returns and Inflation.” Journal of Financial Economics, 5 (1977), 115146.CrossRefGoogle Scholar
Ferson, W., and Harvey, C.. “The Variation in Economic Risk Premiums.” Journal of Political Economy, 99 (1991), 385415.CrossRefGoogle Scholar
Ferson, W., and Korajczyk, R. A.. “Do Arbitrage Pricing Models Explain the Predictability of Stock Returns?Journal of Business, 68 (1995), 309349.CrossRefGoogle Scholar
French, K. R.; Schwert, G. W.; and Stambaugh, R. F.. “Expected Stock Returns and Volatility.” Journal of Financial Economics, 3 (1987), 329.CrossRefGoogle Scholar
Furman, E., and Zitikis, R.. “Weighted Risk Capital Allocations.” Insurance: Mathematics and Economics, 43 (2008), 263269.Google Scholar
Guiso, L.; Sapienza, P.; and Zingales, L.. “Time Varying Risk Aversion.” Journal of Financial Economics, forthcoming (2017).CrossRefGoogle Scholar
Han, Y.; Yang, K.; and Zhou, G.. “A New Anomaly: The Cross-Sectional Profitability of Technical Analysis.” Journal of Financial and Quantitative Analysis, 48 (2013), 14331461.CrossRefGoogle Scholar
Hansen, L. P., and Jagannathan, R.. “Implications of Security Market Data for Models of Dynamic Economies.” Journal of Political Economy, 99 (1991), 225262.CrossRefGoogle Scholar
Hansen, L. P., and Richard, S. F.. “The Role of Conditioning Information in Deducing Testable Restrictions Implied by Dynamic Asset Pricing Models.” Econometrica, 55 (1987), 587613.CrossRefGoogle Scholar
Harvey, C. R.; Liu, Y.; and Zhou, H.. “... and the Cross-Section of Expected Returns.” Review of Financial Studies, 29 (2016), 568.CrossRefGoogle Scholar
Huang, D.; Jiang, F.; Tu, J.; and Zhou, G.. “Investor Sentiment Aligned: A Powerful Predictor of Stock Returns.” Review of Financial Studies, 28 (2015), 791837.CrossRefGoogle Scholar
Jones, C. S., and Tuzel, S.. “New Orders and Asset Prices.” Review of Financial Studies, 26 (2013), 115157.CrossRefGoogle Scholar
Kan, R., and Zhou, G.. “A New Variance Bound on the Stochastic Discount Factor.” Journal of Business, 79 (2006), 941961.CrossRefGoogle Scholar
Kelly, B., and Pruitt, S.. “Market Expectations in the Cross-Section of Present Values.” Journal of Finance, 68 (2013), 17211756.CrossRefGoogle Scholar
Kirby, C.The Restrictions on Predictability Implied by Rational Asset Pricing Models.” Review of Financial Studies, 11 (1998), 343382.CrossRefGoogle Scholar
Kothari, S. P., and Shanken, J.. “Book-to-Market, Dividend Yield, and Expected Market Returns: A Time-Series Analysis.” Journal of Financial Economics, 44 (1997), 169203.CrossRefGoogle Scholar
Lettau, M., and Ludvigson, S.. “Consumption, Aggregate Wealth, and Expected Stock Returns.” Journal of Finance, 56 (2001), 815849.CrossRefGoogle Scholar
Mehra, R., and Prescott, E.. “The Equity Premium Puzzle.” Journal of Monetary Economics, 15 (1985), 145161.CrossRefGoogle Scholar
Nagel, S.Empirical Cross-Sectional Asset Pricing.” Annual Review of Financial Economics, 5 (2013), 167199.CrossRefGoogle Scholar
Paravisini, D.; Rappoport, V.; and Ravina, E.. “Risk Aversion and Wealth: Evidence from Person-to-Person Lending Portfolios.” Management Science, 63 (2017), 279297.CrossRefGoogle Scholar
Pástor, Ľ., and Stambaugh, R. F.. “Liquidity Risk and Expected Stock Returns.” Journal of Political Economy, 111 (2003), 642685.CrossRefGoogle Scholar
Rapach, D. E.; Ringgenberg, M. C.; and Zhou, G.. “Short Interest and Aggregate Stock Returns.” Journal of Financial Economics, 121 (2016), 4665.CrossRefGoogle Scholar
Rapach, D. E., and Zhou, G.. “Forecasting Stock Returns.” In Handbook of Economic Forecasting, Vol. II, Elliott, G. and Timmermann, A., eds. Amsterdam: Elsevier (2013), 328383.Google Scholar
Ross, S. A.The Arbitrage Theory of Capital Asset Pricing.” Journal of Economic Theory, 13 (1976), 341360.CrossRefGoogle Scholar
Ross, S. A. Neoclassical Finance. Princeton, NJ: Princeton University Press (2005).CrossRefGoogle Scholar
Ross, S. A.The Recovery Theorem.” Journal of Finance, 70 (2015), 615648.CrossRefGoogle Scholar
Savov, A.Asset Pricing with Garbage.” Journal of Finance, 66 (2011), 177201.CrossRefGoogle Scholar
Wachter, J. A.Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?Journal of Finance, 68 (2013), 9871035.CrossRefGoogle Scholar
Welch, I., and Goyal, A.. “A Comprehensive Look at the Empirical Performance of Equity Premium Performance.” Review of Financial Studies, 21 (2008), 14551508.CrossRefGoogle Scholar
Zhou, G.How Much Stock Return Predictability Can We Expect from an Asset Pricing Model?Economics Letters, 108 (2010), 184186.CrossRefGoogle Scholar