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Return decomposition and the Intertemporal CAPM

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  • Maio, Paulo

Abstract

The Intertemporal CAPM (ICAPM) from Merton (1973) has had a strong impact in empirical asset pricing leading to numerous multifactor models. This paper shows that the explanatory power of the ICAPM application by Campbell and Vuolteenaho (2004) relies critically on the computation of Dimson (1979) covariances (betas). If one employs the standard factor covariances (excluding lagged factors), the two-factor ICAPM has virtually no explanatory power for the average returns of the 25 size/book-to-market portfolios. More specifically, it is the covariance with the lagged innovation in one of the state variables (the value spread) that drives the explanatory power of the model. These results are inconsistent with the central economic intuition from the ICAPM. By specifying a more general version of the ICAPM, the fit of the model improves relative to the Campbell and Vuolteenaho (2004) model.

Suggested Citation

  • Maio, Paulo, 2013. "Return decomposition and the Intertemporal CAPM," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4958-4972.
    • Handle: RePEc:eee:jbfina:v:37:y:2013:i:12:p:4958-4972
    DOI: 10.1016/j.jbankfin.2013.08.021
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    1. Paulo Maio, 2013. "Intertemporal CAPM with Conditioning Variables," Management Science, INFORMS, vol. 59(1), pages 122-141, April.
    2. Wayne E. Ferson & Campbell R. Harvey, 1999. "Conditioning Variables and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 54(4), pages 1325-1360, August.
    3. Paulo Maio, 2013. "The "Fed Model" and the Predictability of Stock Returns," Review of Finance, European Finance Association, vol. 17(4), pages 1489-1533.
    4. Campbell, John Y & Ammer, John, 1993. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," Journal of Finance, American Finance Association, vol. 48(1), pages 3-37, March.
    5. Guo, Hui, 2006. "Time-varying risk premia and the cross section of stock returns," Journal of Banking & Finance, Elsevier, vol. 30(7), pages 2087-2107, July.
    6. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    7. Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December.
    8. repec:bla:jfinan:v:59:y:2004:i:4:p:1743-1776 is not listed on IDEAS
    9. John Y. Campbell & Yeung Lewis Chanb & M. Viceira, 2013. "A multivariate model of strategic asset allocation," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part II, chapter 39, pages 809-848, World Scientific Publishing Co. Pte. Ltd..
    10. Jakub W. Jurek & Luis M. Viceira, 2011. "Optimal Value and Growth Tilts in Long-Horizon Portfolios," Review of Finance, European Finance Association, vol. 15(1), pages 29-74.
    11. Arzu Ozoguz, 2009. "Good Times or Bad Times? Investors' Uncertainty and Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4377-4422, November.
    12. Campbell, John Y, 1991. "A Variance Decomposition for Stock Returns," Economic Journal, Royal Economic Society, vol. 101(405), pages 157-179, March.
    13. Da, Zhi & Warachka, Mitchell Craig, 2009. "Cashflow risk, systematic earnings revisions, and the cross-section of stock returns," Journal of Financial Economics, Elsevier, vol. 94(3), pages 448-468, December.
    14. John Y. Campbell & Christopher Polk & Tuomo Vuolteenaho, 2010. "Growth or Glamour? Fundamentals and Systematic Risk in Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 305-344, January.
    15. Hahn, Jaehoon & Lee, Hangyong, 2006. "Yield Spreads as Alternative Risk Factors for Size and Book-to-Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(2), pages 245-269, June.
    16. Liu, Naiping & Zhang, Lu, 2008. "Is the value spread a useful predictor of returns?," Journal of Financial Markets, Elsevier, vol. 11(3), pages 199-227, August.
    17. repec:bla:jfinan:v:53:y:1998:i:2:p:575-603 is not listed on IDEAS
    18. Campbell, John Y, 1996. "Understanding Risk and Return," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 298-345, April.
    19. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    20. John Y. Campbell & Stefano Giglio & Christopher Polk, 2013. "Hard Times," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(1), pages 95-132.
      • John Y. Campbell & Stefano Giglio & Christopher Polk, 2010. "Hard Times," NBER Working Papers 16222, National Bureau of Economic Research, Inc.
      • Campbell, John Y. & Giglio, Stefano & Polk, Christopher, 2013. "Hard Times," Scholarly Articles 12172786, Harvard University Department of Economics.
    21. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    22. Ralitsa Petkova, 2006. "Do the Fama–French Factors Proxy for Innovations in Predictive Variables?," Journal of Finance, American Finance Association, vol. 61(2), pages 581-612, April.
    23. Lo, Andrew W. & Craig MacKinlay, A., 1990. "An econometric analysis of nonsynchronous trading," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 181-211.
    24. Lewellen, Jonathan & Nagel, Stefan & Shanken, Jay, 2010. "A skeptical appraisal of asset pricing tests," Journal of Financial Economics, Elsevier, vol. 96(2), pages 175-194, May.
    25. Michael W. Brandt & Pedro Santa-Clara & Rossen Valkanov, 2009. "Parametric Portfolio Policies: Exploiting Characteristics in the Cross-Section of Equity Returns," The Review of Financial Studies, Society for Financial Studies, vol. 22(9), pages 3411-3447, September.
    26. Campbell, John Y. & Giglio, Stefano & Polk, Christopher & Turley, Robert, 2018. "An intertemporal CAPM with stochastic volatility," Journal of Financial Economics, Elsevier, vol. 128(2), pages 207-233.
    27. John Y. Campbell & Tuomo Vuolteenaho, 2004. "Bad Beta, Good Beta," American Economic Review, American Economic Association, vol. 94(5), pages 1249-1275, December.
    28. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
    29. John H. Cochrane, 2008. "The Dog That Did Not Bark: A Defense of Return Predictability," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1533-1575, July.
    30. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
    31. Michael W. Brandt & Pedro Santa‐Clara, 2006. "Dynamic Portfolio Selection by Augmenting the Asset Space," Journal of Finance, American Finance Association, vol. 61(5), pages 2187-2217, October.
    32. John Y. Campbell & Luis M. Viceira, 1999. "Consumption and Portfolio Decisions when Expected Returns are Time Varying," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 433-495.
    33. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    34. Ravi Bansal & Robert F. Dittmar & Christian T. Lundblad, 2005. "Consumption, Dividends, and the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 60(4), pages 1639-1672, August.
    35. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    36. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 357-386.
    37. Botshekan, Mahmoud & Kraeussl, Roman & Lucas, Andre, 2012. "Cash Flow and Discount Rate Risk in Up and Down Markets: What Is Actually Priced?," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(6), pages 1279-1301, December.
    38. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    39. Martin Lettau & Sydney Ludvigson, 2001. "Resurrecting the (C)CAPM: A Cross-Sectional Test When Risk Premia Are Time-Varying," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1238-1287, December.
    40. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    41. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    42. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    43. 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, September.
    44. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    45. Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
    46. Petkova, Ralitsa & Zhang, Lu, 2005. "Is value riskier than growth?," Journal of Financial Economics, Elsevier, vol. 78(1), pages 187-202, October.
    47. Abhyankar, Abhay & Gonzalez, Angelica, 2009. "News and the cross-section of expected corporate bond returns," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 996-1004, June.
    48. Motohiro Yogo, 2006. "A Consumption‐Based Explanation of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 61(2), pages 539-580, April.
    49. Bianchi, Francesco, 2008. "Rare Events, Financial Crises, and the Cross-Section of Asset Returns," MPRA Paper 20831, University Library of Munich, Germany, revised 01 Jan 2010.
    50. Bali, Turan G., 2008. "The intertemporal relation between expected returns and risk," Journal of Financial Economics, Elsevier, vol. 87(1), pages 101-131, January.
    51. Bruno Gerard & Guojun Wu, 2006. "How Important Is Intertemporal Risk for Asset Allocation?," The Journal of Business, University of Chicago Press, vol. 79(4), pages 2203-2242, July.
    52. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    53. Maio, Paulo & Santa-Clara, Pedro, 2012. "Multifactor models and their consistency with the ICAPM," Journal of Financial Economics, Elsevier, vol. 106(3), pages 586-613.
    54. Long Chen & Xinlei Zhao, 2009. "Return Decomposition," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5213-5249, December.
    55. Bali, Turan G. & Engle, Robert F., 2010. "The intertemporal capital asset pricing model with dynamic conditional correlations," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 377-390, May.
    56. Zhi Da, 2009. "Cash Flow, Consumption Risk, and the Cross‐section of Stock Returns," Journal of Finance, American Finance Association, vol. 64(2), pages 923-956, April.
    57. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
    58. Laura Xiaolei Liu & Lu Zhang, 2008. "Momentum Profits, Factor Pricing, and Macroeconomic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2417-2448, November.
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    More about this item

    Keywords

    Asset pricing; Linear multifactor models; Intertemporal CAPM; Predictability of returns; Return decomposition; Cash flow news; Discount rate news;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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