IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v68y2019i3d10.1007_s00199-018-1137-5.html
   My bibliography  Save this article

CAPM-anomalies: quantitative puzzles

Author

Listed:
  • Sabine Elmiger

    (University of Zurich)

Abstract

The stochastic discount factor is a crucial determinant of the equity premium as well as the cross-sectional distribution of stock returns. This gives rise to the idea that there is a tight link between the equity premium puzzle and cross-sectional asset pricing puzzles. This paper examines similarities between the low-beta premium, the value premium, the small-size premium and the equity premium in a special case of a static consumption-based asset pricing model with constant relative risk aversion and lognormal dividends that can be solved in closed form. The results show that cross-sectional asset pricing puzzles are quantitative puzzles just like the equity premium puzzle: The model generates a premium for stocks with a low beta, a high dividend-price ratio and a small market capitalization but the size of the premium is too small. Furthermore, the size of the premium rises together with the equity premium as the risk aversion coefficient or consumption risk is increased.

Suggested Citation

  • Sabine Elmiger, 2019. "CAPM-anomalies: quantitative puzzles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(3), pages 643-667, October.
    • Handle: RePEc:spr:joecth:v:68:y:2019:i:3:d:10.1007_s00199-018-1137-5
    DOI: 10.1007/s00199-018-1137-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-018-1137-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00199-018-1137-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Frazzini, Andrea & Pedersen, Lasse Heje, 2014. "Betting against beta," Journal of Financial Economics, Elsevier, vol. 111(1), pages 1-25.
    2. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    3. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    4. P. Herings & Felix Kubler, 2007. "Approximate CAPM When Preferences are CRRA," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 13-31, February.
    5. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    6. Ian Martin, 2013. "The Lucas Orchard," Econometrica, Econometric Society, vol. 81(1), pages 55-111, January.
    7. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    8. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942, Decembrie.
    9. Basu, S, 1977. "Investment Performance of Common Stocks in Relation to Their Price-Earnings Ratios: A Test of the Efficient Market Hypothesis," Journal of Finance, American Finance Association, vol. 32(3), pages 663-682, June.
    10. Kraus, Alan & Litzenberger, Robert, 1983. "On the Distributional Conditions for a Consumption-Oriented Three Moment CAPM," Journal of Finance, American Finance Association, vol. 38(5), pages 1381-1391, December.
    11. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    12. Chen, Long, 2009. "On the reversal of return and dividend growth predictability: A tale of two periods," Journal of Financial Economics, Elsevier, vol. 92(1), pages 128-151, April.
    13. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    14. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    15. DeAngelo, Harry & DeAngelo, Linda & Skinner, Douglas J., 2004. "Are dividends disappearing? Dividend concentration and the consolidation of earnings," Journal of Financial Economics, Elsevier, vol. 72(3), pages 425-456, June.
    16. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    17. 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.
    18. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    19. 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.
    20. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Erol Muzir & Cevdet Kizil & Burak Ceylan, 2021. "Role of International Trade Competitive Advantage and Corporate Governance Quality in Predicting Equity Returns: Static and Conditional Model Proposals for an Emerging Market," JRFM, MDPI, vol. 14(3), pages 1-31, March.
    2. Alonso Conde, Ana B. & Rojo Suárez, Javier, 2022. "Trends in the explanatory power of factor-based asset pricing models in determining the cost of capital," Cuadernos de Gestión, Universidad del País Vasco - Instituto de Economía Aplicada a la Empresa (IEAE).
    3. Pedro Antonio Martín-Cervantes & María del Carmen Valls Martínez, 2023. "Unraveling the relationship between betas and ESG scores through the Random Forests methodology," Risk Management, Palgrave Macmillan, vol. 25(3), pages 1-29, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Committee, Nobel Prize, 2013. "Understanding Asset Prices," Nobel Prize in Economics documents 2013-1, Nobel Prize Committee.
    2. Amit Goyal, 2012. "Empirical cross-sectional asset pricing: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(1), pages 3-38, March.
    3. Thorsten Hens & Sabine Elmiger, 2019. "Economic Foundations for Finance," Springer Texts in Business and Economics, Springer, number 978-3-030-05427-4, August.
    4. Neuhierl, Andreas & Varneskov, Rasmus T., 2021. "Frequency dependent risk," Journal of Financial Economics, Elsevier, vol. 140(2), pages 644-675.
    5. Ludvigson, Sydney C., 2013. "Advances in Consumption-Based Asset Pricing: Empirical Tests," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 799-906, Elsevier.
    6. Keunbae Ahn, 2021. "Predictable Fluctuations in the Cross-Section and Time-Series of Asset Prices," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2021.
    7. Joachim Freyberger & Andreas Neuhierl & Michael Weber, 2020. "Dissecting Characteristics Nonparametrically," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2326-2377.
    8. Cochrane, John H., 2005. "Financial Markets and the Real Economy," Foundations and Trends(R) in Finance, now publishers, vol. 1(1), pages 1-101, July.
    9. Sydney Ludvigson, 2008. "The Research Agenda: Sydney Ludvigson on Empirical Evaluation of Economic Theories of Risk Premia," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 9(2), April.
    10. 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.
    11. Anisha Ghosh & Christian Julliard & Alex P. Taylor, 2017. "What Is the Consumption-CAPM Missing? An Information-Theoretic Framework for the Analysis of Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 30(2), pages 442-504.
    12. Dittmar, Robert F. & Lundblad, Christian T., 2017. "Firm characteristics, consumption risk, and firm-level risk exposures," Journal of Financial Economics, Elsevier, vol. 125(2), pages 326-343.
    13. Chen, Qi-An & Li, Huashi & Lin, Jianyi & Yan, Youliang, 2023. "Asset pricing with two types of heterogeneous consumption volatilities in mind: Evidence from China," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    14. João M. Sousa & Ricardo M. Sousa, 2019. "Asset Returns Under Model Uncertainty: Evidence from the Euro Area, the US and the UK," Computational Economics, Springer;Society for Computational Economics, vol. 54(1), pages 139-176, June.
    15. Calvet, Laurent E. & Betermier, Sebastien & Jo, Evan, 2019. "A Supply and Demand Approach to Equity Pricing," CEPR Discussion Papers 13974, C.E.P.R. Discussion Papers.
    16. Juan Carlos Parra‐Alvarez & Olaf Posch & Andreas Schrimpf, 2022. "Peso problems in the estimation of the C‐CAPM," Quantitative Economics, Econometric Society, vol. 13(1), pages 259-313, January.
    17. Olaf Posch & Andreas Schrimpf, 2012. "Risk of Rare Disasters, Euler Equation Errors and the Performance of the C-CAPM," CREATES Research Papers 2012-32, Department of Economics and Business Economics, Aarhus University.
    18. Gollier, Christian, 2021. "The Welfare Cost of Ignoring the Beta," FEEM Working Papers 309916, Fondazione Eni Enrico Mattei (FEEM).
    19. Liu, Ludan, 2008. "It takes a model to beat a model: Volatility bounds," Journal of Empirical Finance, Elsevier, vol. 15(1), pages 80-110, January.
    20. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.

    More about this item

    Keywords

    CAPM; CRRA; Beta premium; Value premium; Size premium;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:68:y:2019:i:3:d:10.1007_s00199-018-1137-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.