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Pricing Intertemporal Risk When Investment Opportunities Are Unobservable

Published online by Cambridge University Press:  14 September 2018

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Abstract

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The intertemporal capital asset pricing model (ICAPM) predicts that an unobservable factor capturing changes in expected market returns should be priced in the cross section. My Bayesian framework accounts for uncertainty in the intertemporal risk factor and gauges the effects of prior information about investment opportunities on model inferences. Whereas an uninformative prior specification produces weak evidence that intertemporal risk is priced, incorporating prior information about market-return predictability generates a large space of ex ante reasonable priors in which the estimated intertemporal risk factor is positively priced. Overall, the cross-sectional tests reject the capital asset pricing model (CAPM) and indicate support for the ICAPM.

Type
Research Article
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2018 

Footnotes

1

I thank David Bates, Matt Billett, David Brown, Jennifer Conrad (the editor), Phil Davies, Robert Dittmar, Redouane Elkamhi, Massimo Guidolin (the referee), Huseyin Gulen, Arthur Korteweg, Chris Lamoureux, Mike O’Doherty, B. Ravikumar, Rick Sias, Ashish Tiwari, Paul Weller, and Yu Yuan; seminar participants at the University of Arizona, the University of Connecticut, Georgia Tech, Indiana University, the University of Missouri, Purdue University, Rutgers University, and the University of Texas at Dallas; and participants at the Financial Management Association Doctoral Student Consortium, the 2010 Center for Research in Security Prices Forum, the 2011 Eastern Finance Association Conference, and the 2011 Midwest Finance Association Conference for helpful comments and suggestions. An allocation of computer time from High Performance Computing (HPC) at the University of Arizona is gratefully acknowledged. Any errors are my own.

References

Ang, A.; Bekaert, G.; and Wei, M.. “The Term Structure of Real Rates and Expected Inflation.” Journal of Finance, 63 (2008), 797849.Google Scholar
Avramov, D.Stock Return Predictability and Model Uncertainty.” Journal of Financial Economics, 64 (2002), 423458.Google Scholar
Avramov, D.Stock Return Predictability and Asset Pricing Models.” Review of Financial Studies, 17 (2004), 699738.Google Scholar
Avramov, D.; Cederburg, S.; and Lučivjanská, K.. “Are Stocks Riskier over the Long Run? Taking Cues from Economic Theory.” Review of Financial Studies, 31 (2018), 556594.Google Scholar
Avramov, D., and Chordia, T.. “Asset Pricing Models and Financial Market Anomalies.” Review of Financial Studies, 19 (2006), 10011040.Google Scholar
Barberis, N.Investing for the Long Run When Returns Are Predictable.” Journal of Finance, 55 (2000), 225264.Google Scholar
Bianchi, D.; Guidolin, M.; and Ravazzolo, F.. “Macroeconomic Factors Strike Back: A Bayesian Change-Point Model of Time-Varying Risk Exposures and Premia in the U.S. Cross-Section.” Journal of Business and Economic Statistics, 35 (2017), 110129.Google Scholar
Boons, M.State Variables, Macroeconomic Activity, and the Cross Section of Individual Stocks.” Journal of Financial Economics, 119 (2016), 489511.Google Scholar
Brennan, M. J.; Wang, A. W.; and Xia, Y.. “Estimation and Test of a Simple Model of Intertemporal Capital Asset Pricing.” Journal of Finance, 59 (2004), 17431775.Google Scholar
Campbell, J. Y.A Variance Decomposition for Stock Returns.” Economic Journal, 101 (1991), 157179.Google Scholar
Campbell, J. Y.Intertemporal Asset Pricing without Consumption Data.” American Economic Review, 83 (1993), 487512.Google Scholar
Campbell, J. Y.Understanding Risk and Return.” Journal of Political Economy, 104 (1996), 298345.Google Scholar
Campbell, J. Y., and Ammer, J.. “What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns.” Journal of Finance, 48 (1993), 337.Google Scholar
Campbell, J. Y.; Giglio, S.; and Polk, C.. “Hard Times.” Review of Asset Pricing Studies, 3 (2013), 95132.Google Scholar
Campbell, J. Y.; Giglio, S.; Polk, C.; and Turley, R.. “An Intertemporal CAPM with Stochastic Volatility.” Journal of Financial Economics, 128 (2018), 207233.Google Scholar
Campbell, J. Y.; Polk, C.; and Vuolteenaho, T.. “Growth or Glamour? Fundamentals and Systematic Risk in Stock Returns.” Review of Financial Studies, 23 (2010), 305344.Google Scholar
Campbell, J. Y., and Vuolteenaho, T.. “Bad Beta, Good Beta.” American Economic Review, 94 (2004), 12491275.Google Scholar
Cochrane, J. H. Asset Pricing. Princeton, NJ: Princeton University Press (2005).Google Scholar
Cochrane, J. H.The Dog That Did Not Bark: A Defense of Return Predictability.” Review of Financial Studies, 21 (2008), 15331575.Google Scholar
Cremers, K. J. M.Stock Return Predictability: A Bayesian Model Selection Perspective.” Review of Financial Studies, 15 (2002), 12231249.Google Scholar
Davies, P.“A Cross-Sectional Test of the CAPM at the Firm Level.” Working Paper, Rutgers University (2010).Google Scholar
Epstein, L. G., and Zin, S. E.. “Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework.” Econometrica, 57 (1989), 937969.Google Scholar
Epstein, L. G., and Zin, S. E.. “Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis.” Journal of Political Economy, 99 (1991), 263286.Google Scholar
Fama, E. F.Efficient Capital Markets: II.” Journal of Finance, 46 (1991), 15751617.Google Scholar
Fama, E. F., and MacBeth, J.. “Risk, Return, and Equilibrium: Empirical Tests.” Journal of Political Economy, 81 (1973), 607636.Google Scholar
Geweke, J., and Zhou, G.. “Measuring the Pricing Error of the Arbitrage Pricing Theory.” Review of Financial Studies, 9 (1996), 557587.Google Scholar
Guidolin, M., and Liu, H.. “Ambiguity Aversion and Underdiversification.” Journal of Financial and Quantitative Analysis, 51 (2016), 12971323.Google Scholar
Harvey, C. R., and Zhou, G.. “Bayesian Inference in Asset Pricing Tests.” Journal of Financial Economics, 26 (1990), 221254.Google Scholar
Hodrick, R. J.; Ng, D. T.; and Sengmueller, P.. “An International Dynamic Asset Pricing Model.” International Tax and Public Finance, 6 (1999), 597620.Google Scholar
Kandel, S., and Stambaugh, R. F.. “On the Predictability of Stock Returns: An Asset Allocation Perspective.” Journal of Finance, 51 (1996), 385424.Google Scholar
LeRoy, S. F., and Porter, R. D.. “The Present-Value Relation: Tests Based on Implied Variance Bounds.” Econometrica, 49 (1981), 555574.Google Scholar
Lewellen, J.The Cross-Section of Expected Stock Returns.” Critical Finance Review, 4 (2015), 144.Google Scholar
Maio, P.Intertemporal CAPM with Conditioning Variables.” Management Science, 59 (2013), 122141.Google Scholar
Merton, R. C.An Intertemporal Capital Asset Pricing Model.” Econometrica, 41 (1973), 867887.Google Scholar
Pástor, Ľ.Portfolio Selection and Asset Pricing Models.” Journal of Finance, 55 (2000), 179223.Google Scholar
Pástor, Ľ., and Stambaugh, R. F.. “Costs of Equity Capital and Model Mispricing.” Journal of Finance, 54 (1999), 67121.Google Scholar
Pástor, Ľ., and Stambaugh, R. F.. “Comparing Asset Pricing Models: An Investment Perspective.” Journal of Financial Economics, 56 (2000), 335381.Google Scholar
Pástor, Ľ., and Stambaugh, R. F.. “Predictive Systems: Living with Imperfect Predictors.” Journal of Finance, 64 (2009), 15831628.Google Scholar
Pástor, Ľ., and Stambaugh, R. F.. “Are Stocks Really Less Volatile in the Long Run?Journal of Finance, 67 (2012), 431478.Google Scholar
Pettenuzzo, D.; Timmermann, A.; and Valkanov, R.. “Forecasting Stock Returns under Economic Constraints.” Journal of Financial Economics, 114 (2014), 517553.Google Scholar
Poterba, J. M., and Summers, L. H.. “Mean Reversion in Stock Prices.” Journal of Financial Economics, 22 (1988), 2759.Google Scholar
Shanken, J.A Bayesian Approach to Testing Portfolio Efficiency.” Journal of Financial Economics, 19 (1987), 195215.Google Scholar
Shiller, R. J.Do Stock Prices Move Too Much to Be Justified by Subsequent Changes in Dividends?American Economic Review, 71 (1981), 421436.Google Scholar
Shumway, T.The Delisting Bias in CRSP Data.” Journal of Finance, 52 (1997), 327340.Google Scholar
Van Binsbergen, J. H., and Koijen, R. S. J.. “Predictive Regressions: A Present-Value Approach.” Journal of Finance, 65 (2010), 14391471.Google Scholar
Wachter, J. A., and Warusawitharana, M.. “Predictable Returns and Asset Allocation: Should a Skeptical Investor Time the Market?Journal of Econometrics, 148 (2009), 162178.Google Scholar
Wachter, J. A., and Warusawitharana, M.. “What Is the Chance That the Equity Premium Varies over Time? Evidence from Regressions on the Dividend-Price Ratio.” Journal of Econometrics, 186 (2015), 7493.Google Scholar
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