IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v176y2010i1p109-12610.1007-s10479-008-0484-1.html
   My bibliography  Save this article

A new methodology for studying the equity premium

Author

Listed:
  • Elie Appelbaum
  • Parantap Basu

Abstract

This paper provides a new framework for the derivation and estimation of consumption and equity premium functions. Applying duality in a dynamic context, we show that equity premium and consumption functions can be easily obtained from the indirect utility function. Our new framework, therefore, does not require explicit specification of underlying consumer preferences. Using aggregate US data (1929–2000) we estimate the consumption and equity premium functions using a nonparametric technique. We find that the model does well in explaining the observed smooth consumption patterns and does reasonably well in explaining the high mean and volatility of equity premia. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Elie Appelbaum & Parantap Basu, 2010. "A new methodology for studying the equity premium," Annals of Operations Research, Springer, vol. 176(1), pages 109-126, April.
    • Handle: RePEc:spr:annopr:v:176:y:2010:i:1:p:109-126:10.1007/s10479-008-0484-1
    DOI: 10.1007/s10479-008-0484-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-008-0484-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-008-0484-1?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-1382, September.
    3. Machina, Mark J., 1984. "Temporal risk and the nature of induced preferences," Journal of Economic Theory, Elsevier, vol. 33(2), pages 199-231, August.
    4. Aman Ullah, 1988. "Non-parametric Estimation of Econometric Functionals," Canadian Journal of Economics, Canadian Economics Association, vol. 21(3), pages 625-658, August.
    5. Singleton, J. Clay & Wingender, John, 1986. "Skewness Persistence in Common Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(3), pages 335-341, September.
    6. Fernando Alvarez & Urban J. Jermann, 2004. "Using Asset Prices to Measure the Cost of Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1223-1256, December.
    7. Geweke, John, 2001. "A note on some limitations of CRRA utility," Economics Letters, Elsevier, vol. 71(3), pages 341-345, June.
    8. Baillie, Richard T & Myers, Robert J, 1991. "Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 109-124, April-Jun.
    9. Narayana Kocherlakota & Luigi Pistaferri, 2009. "Asset Pricing Implications of Pareto Optimality with Private Information," Journal of Political Economy, University of Chicago Press, vol. 117(3), pages 555-590, June.
    10. Campbell, John Y., 1994. "Inspecting the mechanism: An analytical approach to the stochastic growth model," Journal of Monetary Economics, Elsevier, vol. 33(3), pages 463-506, June.
    11. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Chapters, in: NBER Macroeconomics Annual 1992, Volume 7, pages 115-182, National Bureau of Economic Research, Inc.
    12. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina, 2000. "The declining U.S. equity premium," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Fall), pages 3-19.
    13. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    14. 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.
    15. Parantap Basu & Andrei Semenovz & Kenji Wadax, 2007. "Uninsurable Risk and Financial Market Puzzles," CDMA Conference Paper Series 0701, Centre for Dynamic Macroeconomic Analysis.
    16. Elie Appelbaum & Aman Ullah, 1997. "Estimation Of Moments And Production Decisions Under Uncertainty," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 631-637, November.
    17. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    18. Parantap Basu, 1993. "Mean Reversion in GNP and Stock Prices: An Adjustment Cost Hypothesis," Kyklos, Wiley Blackwell, vol. 46(1), pages 87-104, February.
    19. Basu, Parantap & Semenov, Andrei & Wada, Kenji, 2011. "Uninsurable risk and financial market puzzles," Journal of International Money and Finance, Elsevier, vol. 30(6), pages 1055-1089, October.
    20. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    21. Appelbaum, Elie, 2006. "A framework for empirical applications of production theory without expected utility," Journal of Economics and Business, Elsevier, vol. 58(4), pages 290-302.
    22. Rajnish Mehra, 2003. "The Equity Premium: Why is it a Puzzle?," NBER Working Papers 9512, National Bureau of Economic Research, Inc.
    23. Engle, Robert F. & Granger, C. W. J. & Kraft, Dennis, 1984. "Combining competing forecasts of inflation using a bivariate arch model," Journal of Economic Dynamics and Control, Elsevier, vol. 8(2), pages 151-165, November.
    24. Bera, Anil K & Higgins, Matthew L, 1993. "ARCH Models: Properties, Estimation and Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 7(4), pages 305-366, December.
    25. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
    26. Lettau, Martin & Uhlig, Harald, 2002. "The Sharpe Ratio And Preferences: A Parametric Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 242-265, April.
    27. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    28. Christophe Faugère & Julian Van Erlach, 2006. "The Equity Premium: Consistent with GDP Growth and Portfolio Insurance," The Financial Review, Eastern Finance Association, vol. 41(4), pages 547-564, November.
    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. Elie Appelbaum & Aman Ullah, 1997. "Estimation Of Moments And Production Decisions Under Uncertainty," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 631-637, November.
    2. Appelbaum, Elie, 2021. "Asset Demand: A Simple Dual Approach," MPRA Paper 113085, University Library of Munich, Germany.
    3. Elie Appelbaum, 2000. "Estimating the firm's demand and supply functions under uncertainty without expected utility," Working Papers 2000_5, York University, Department of Economics.

    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. Campbell, John Y., 2003. "Consumption-based asset pricing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 13, pages 803-887, Elsevier.
    2. Rubens Penha Cysne, 2005. "Equity-Premium Puzzle: Evidence From Brazilian Data," Anais do XXXIII Encontro Nacional de Economia [Proceedings of the 33rd Brazilian Economics Meeting] 088, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    3. Lettau, M. & Uhlig, H.F.H.V.S., 1997. "Preferences, Consumption Smoothing and Risk Premia," Other publications TiSEM 129a8e4c-f593-4f03-b35b-2, Tilburg University, School of Economics and Management.
    4. 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.
    5. Fabio Araujo & Joao Victor Issler, 2005. "Estimating the Stochastic Discount Factor without a Utility Function," Computing in Economics and Finance 2005 202, Society for Computational Economics.
    6. Cogley, Timothy & Sargent, Thomas J., 2008. "The market price of risk and the equity premium: A legacy of the Great Depression?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 454-476, April.
    7. Rui Albuquerque & Martin Eichenbaum & Victor Xi Luo & Sergio Rebelo, 2016. "Valuation Risk and Asset Pricing," Journal of Finance, American Finance Association, vol. 71(6), pages 2861-2904, December.
    8. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," The Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
    9. Enrique Sentana, 1993. "The econometrics of the stock market II: asset pricing," Investigaciones Economicas, Fundación SEPI, vol. 17(3), pages 421-444, September.
    10. Nader Shahzad Virk, 2013. "Evidence for state and time nonseparable preferences: the case of Finland," Applied Financial Economics, Taylor & Francis Journals, vol. 23(24), pages 1821-1838, December.
    11. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
    12. Kris Jacobs, 2002. "The Rate of Risk Aversion May Be Lower Than You Think," CIRANO Working Papers 2002s-08, CIRANO.
    13. Gurdip Bakshi, 2009. "Du subjectiv expectations explain asset pricing puzzles?," 2009 Meeting Papers 1234, Society for Economic Dynamics.
    14. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    15. 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.
    16. Alexis Akira Toda & Kieran James Walsh, 2017. "Fat tails and spurious estimation of consumption‐based asset pricing models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(6), pages 1156-1177, September.
    17. H. Youn Kim, 2003. "Intertemporal production and asset pricing: a duality approach," Oxford Economic Papers, Oxford University Press, vol. 55(2), pages 344-379, April.
    18. George M. Constantinides, 2006. "Market Organization And The Prices Of Financial Assets," Manchester School, University of Manchester, vol. 74(s1), pages 1-23, September.
    19. Kris Jacobs & Kevin Q. Wang, 2002. "Idiosyncratic Consumption Risk and the Cross-Section of Asset Returns," CIRANO Working Papers 2002s-11, CIRANO.
    20. Laurian Lungu & Patrick Minford, 2006. "Explaining The Equity Risk Premium," Manchester School, University of Manchester, vol. 74(6), pages 670-700, December.

    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:annopr:v:176:y:2010:i:1:p:109-126:10.1007/s10479-008-0484-1. 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.