IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Variance Bounds on the Permanent and Transitory Components of Stochastic Discount Factors

  • Bakshi, Gurdip

    (University of MD)

  • Chabi-Yo, Fousseni

    (OH State University)

Registered author(s):

    When the transitory component of the stochastic discount factors (SDFs) prices the long-term bond, and the permanent component prices other assets, we develop lower bounds on the variance of the permanent component and the transitory component, and on the variance of the ratio of the permanent to the transitory components of SDFs. A salient feature of our bounds is that they incorporate information from average returns and the variance-covariance matrix of returns corresponding to a generic set of assets. Relevant to economic modeling, we examine the tightness of our bounds relative to Alvarez and Jermann (2005, Econometrica). Exactly solved eigenfunction problems are then used to study the empirical attributes of asset pricing models that incorporate long-run risk, external habit persistence, and rare disasters. Specific quantitative implications are developed for the variance of the permanent and the transitory components, the return behavior of the long-term (infinite-maturity) bond, and the comovement between the transitory and the permanent components of SDFs.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL: http://fisher.osu.edu/supplements/10/10471/2011-11.pdf
    Download Restriction: no

    Paper provided by Ohio State University, Charles A. Dice Center for Research in Financial Economics in its series Working Paper Series with number 2011-11.

    as
    in new window

    Length:
    Date of creation: Jun 2011
    Date of revision:
    Handle: RePEc:ecl:ohidic:2011-11
    Contact details of provider: Phone: (614) 292-8449
    Web page: http://www.cob.ohio-state.edu/fin/dice/list.htm
    Email:


    More information through EDIRC

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

    as in new window
    1. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Working Papers 4088, National Bureau of Economic Research, Inc.
    2. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, 04.
    3. Snow, Karl N, 1991. " Diagnosing Asset Pricing Models Using the Distribution of Asset Returns," Journal of Finance, American Finance Association, vol. 46(3), pages 955-83, July.
    4. Geert Bekaert, 2004. "Conditioning Information and Variance Bounds on Pricing Kernels," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 339-378.
    5. Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2008. "The Wealth-Consumption Ratio," NBER Working Papers 13896, National Bureau of Economic Research, Inc.
    6. Lars Peter Hansen & Jaroslav BoroviÄka & Mark Hendricks & Jose A. Scheinkman, 2010. "Risk Price Dynamics," Working Papers 2010-004, Becker Friedman Institute for Research In Economics.
    7. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1992. "Testing Volatility Restrictions on Intertemporal Marginal Rates of Substitution Implied by Euler Equations and Asset Returns," NBER Technical Working Papers 0124, National Bureau of Economic Research, Inc.
    8. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, Oxford University Press, vol. 127(2), pages 645-700.
    9. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    10. Bryan R. Routledge & Stanley E. Zin, 2003. "Generalized Disappointment Aversion and Asset Prices," NBER Working Papers 10107, National Bureau of Economic Research, Inc.
    11. Beeler, Jason & Campbell, John Y., 2012. "The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment," Critical Finance Review, now publishers, vol. 1(1), pages 141-182, January.
    12. Jessica Wachter, 2008. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," NBER Working Papers 14386, National Bureau of Economic Research, Inc.
    13. Balduzzi, Pierluigi & Kallal, Hedi, 1997. " Risk Premia and Variance Bounds," Journal of Finance, American Finance Association, vol. 52(5), pages 1913-49, December.
    14. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, vol. 64(6), pages 1439-67, November.
    15. Bekaert, Geert & Engstrom, Eric, 2010. "Asset Return Dynamics Under Bad Environment-Good Environment Fundamentals," CEPR Discussion Papers 8150, C.E.P.R. Discussion Papers.
    16. Martin Lettau & Jessica A. Wachter, 2007. "Why Is Long-Horizon Equity Less Risky? A Duration-Based Explanation of the Value Premium," Journal of Finance, American Finance Association, vol. 62(1), pages 55-92, 02.
    17. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472 National Bureau of Economic Research, Inc.
    18. Ravi Bansal & Robert Dittmar & Dana Kiku, 2009. "Cointegration and Consumption Risks in Asset Returns," Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1343-1375, March.
    19. Yacine Ait-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2002. "Luxury Goods and the Equity Premium," Working Papers 145, Princeton University, Woodrow Wilson School of Public and International Affairs, Discussion Papers in Economics..
    20. Martin Lettau & Sydney Ludvigson, 2003. "Understanding Trend and Cycle in Asset Values: Reevaluating the Wealth Effect on Consumption," NBER Working Papers 9848, National Bureau of Economic Research, Inc.
    21. John Y. CAMPBELL & Luis VICEIRA, 1998. "Who Should Buy Long-Term Bonds?," FAME Research Paper Series rp5, International Center for Financial Asset Management and Engineering.
    22. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, 02.
    23. Ralph S.J. Koijen & Hanno Lustig & Stijn Van Nieuwerburgh, 2010. "The Cross-Section and Time-Series of Stock and Bond Returns," NBER Working Papers 15688, National Bureau of Economic Research, Inc.
    24. Hansen, Lars Peter & Scheinkman, José A., 2008. "Long Term Risk : An Operator Approach," Economics Papers from University Paris Dauphine 123456789/2282, Paris Dauphine University.
    25. Mariano M. Croce & Martin Lettau & Sydney C. Ludvigson, 2007. "Investor Information, Long-Run Risk, and the Term Structure of Equity," NBER Working Papers 12912, National Bureau of Economic Research, Inc.
    26. Lieven Baele & Geert Bekaert & Koen Inghelbrecht, 2007. "The determinants of stock and bond return comovements," Working Paper Research 119, National Bank of Belgium.
    27. Francois Gourio, 2012. "Disaster Risk and Business Cycles," American Economic Review, American Economic Association, vol. 102(6), pages 2734-66, October.
    28. Campbell, John, 1986. "Bond and Stock Returns in a Simple Exchange Model," Scholarly Articles 3122544, Harvard University Department of Economics.
    29. Ralph S. J. Koijen & Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2010. "Long Run Risk, the Wealth-Consumption Ratio, and the Temporal Pricing of Risk," American Economic Review, American Economic Association, vol. 100(2), pages 552-56, May.
    30. Schwert, G William, 1989. " Why Does Stock Market Volatility Change over Time?," Journal of Finance, American Finance Association, vol. 44(5), pages 1115-53, December.
    31. 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.
    32. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics 29, Federal Reserve Bank of Minneapolis.
    33. Campbell, J.Y. & Ammer, J., 1991. "What Moves The Stock And Bond Markets? A Variance Decomposition For Long- Term Asset Returns," Papers 127, Princeton, Department of Economics - Financial Research Center.
    34. Alexander David & Pietro Veronesi, 2009. "What Ties Return Volatilities to Price Valuations and Fundamentals?," NBER Working Papers 15563, National Bureau of Economic Research, Inc.
    35. Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
    36. 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 263-86, April.
    37. Anisha Ghosh & George Constantinides, 2008. "Asset Pricing Tests with Long Run Risks in Consumption Growth," FMG Discussion Papers dp609, Financial Markets Group.
    38. David Backus & Mikhail Chernov & Ian Martin, 2011. "Disasters Implied by Equity Index Options," Journal of Finance, American Finance Association, vol. 66(6), pages 1969-2012, December.
    39. Shanken, Jay, 1987. "Multivariate proxies and asset pricing relations : Living with the Roll critique," Journal of Financial Economics, Elsevier, vol. 18(1), pages 91-110, March.
    40. Christopher J. Malloy & Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2009. "Long-Run Stockholder Consumption Risk and Asset Returns," Journal of Finance, American Finance Association, vol. 64(6), pages 2427-2479, December.
    41. Georg Kaltenbrunner & Lars A. Lochstoer, 2010. "Long-Run Risk through Consumption Smoothing," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3190-3224, August.
    42. Colacito, Riccardo & Engle, Robert F. & Ghysels, Eric, 2011. "A component model for dynamic correlations," Journal of Econometrics, Elsevier, vol. 164(1), pages 45-59, September.
    43. Fernando Alvarez & Urban J. Jermann, 2005. "Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth," Econometrica, Econometric Society, vol. 73(6), pages 1977-2016, November.
    44. Raymond Kan & Guofu Zhou, 2006. "A New Variance Bound on the Stochastic Discount Factor," The Journal of Business, University of Chicago Press, vol. 79(2), pages 941-962, March.
    45. Barro, Robert, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," Scholarly Articles 3208215, Harvard University Department of Economics.
    46. Wayne E. Ferson & Suresh K. Nallareddy & Biqin Xie, 2012. "The "Out of Sample" Performance of Long-run Risk Models," NBER Working Papers 17848, National Bureau of Economic Research, Inc.
    47. Patton, Andrew J. & Timmermann, Allan, 2010. "Monotonicity in asset returns: New tests with applications to the term structure, the CAPM, and portfolio sorts," Journal of Financial Economics, Elsevier, vol. 98(3), pages 605-625, December.
    Full references (including those not matched with items on IDEAS)

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:ecl:ohidic:2011-11. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.