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

  • Bakshi, Gurdip

    (University of MD)

  • Chabi-Yo, Fousseni

    (OH State University)

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    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.

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    File URL: http://fisher.osu.edu/supplements/10/10471/2011-11.pdf
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    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.

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    Date of creation: Jun 2011
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    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
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    1. Bryan R. Routledge & Stanley E. Zin, 2010. "Generalized Disappointment Aversion and Asset Prices," Journal of Finance, American Finance Association, vol. 65(4), pages 1303-1332, 08.
    2. 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.
    3. Ammer, John & Campbell, John, 1993. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," Scholarly Articles 3382857, Harvard University Department of Economics.
    4. Anisha Ghosh & George Constantinides, 2008. "Asset Pricing Tests with Long Run Risks in Consumption Growth," FMG Discussion Papers dp609, Financial Markets Group.
    5. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, 01.
    6. Backus, David & Chernov, Mikhail & Martin, Ian, 2009. "Disasters implied by equity index options," CEPR Discussion Papers 7416, C.E.P.R. Discussion Papers.
    7. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, Oxford University Press, vol. 121(3), pages 823-866.
    8. Bekaert, Geert & Engstrom, Eric, 2010. "Asset Return Dynamics Under Bad Environment-Good Environment Fundamentals," CEPR Discussion Papers 8150, C.E.P.R. Discussion Papers.
    9. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, 02.
    10. Lieven Baele & Geert Bekaert & Koen Inghelbrecht, 2009. "The Determinants of Stock and Bond Return Comovements," NBER Working Papers 15260, National Bureau of Economic Research, Inc.
    11. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of Security Market Data for Models of Dynamic Economies," NBER Technical Working Papers 0089, National Bureau of Economic Research, Inc.
    12. 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.
    13. Monika Piazzesi & Martin Schneider, 2006. "Equilibrium Yield Curves," NBER Working Papers 12609, National Bureau of Economic Research, Inc.
      • 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.
    14. Campbell, John, 1986. "Bond and Stock Returns in a Simple Exchange Model," Scholarly Articles 3122544, Harvard University Department of Economics.
    15. Ravi Bansal & Robert Dittmar & Dana Kiku, 2007. "Cointegration and Consumption Risks in Asset Returns," NBER Working Papers 13108, National Bureau of Economic Research, Inc.
    16. François Gourio, 2009. "Disasters Risk and Business Cycles," NBER Working Papers 15399, National Bureau of Economic Research, Inc.
    17. Viceira, Luis & Campbell, John, 2001. "Who Should Buy Long-Term Bonds?," Scholarly Articles 3128709, Harvard University Department of Economics.
    18. Koijen, Ralph & Lustig, Hanno & van Nieuwerburgh, Stijn, 2012. "The Cross-Section and Time-Series of Stock and Bond Returns," CEPR Discussion Papers 9024, C.E.P.R. Discussion Papers.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. Lustig, Hanno & van Nieuwerburgh, Stijn & Verdelhan, Adrien, 2012. "The Wealth-Consumption Ratio," CEPR Discussion Papers 9022, C.E.P.R. Discussion Papers.
    25. 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.
    26. John H. Cochrane & Monika Piazzesi, 2002. "Bond Risk Premia," NBER Working Papers 9178, National Bureau of Economic Research, Inc.
    27. Yacine Aït-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2004. "Luxury Goods and the Equity Premium," Journal of Finance, American Finance Association, vol. 59(6), pages 2959-3004, December.
    28. Jaroslav Borovicka & Lars Peter Hansen & Mark Hendricks & Jose A. Scheinkman, 2009. "Risk Price Dynamics," Working Papers 1393, Princeton University, Department of Economics, Econometric Research Program..
      • Jaroslav Borovička & Lars Peter Hansen & Mark Hendricks & José A. Scheinkman, 2009. "Risk Price Dynamics," NBER Working Papers 15506, National Bureau of Economic Research, Inc.
      • Lars Peter Hansen & Jaroslav BoroviÄ ka & Mark Hendricks & José A. Scheinkman, 2010. "Risk Price Dynamics," Working Papers 2010-004, Becker Friedman Institute for Research In Economics.
    29. Geert Bekaert & Jun Liu, 1999. "Conditioning Information and Variance Bounds on Pricing Kernels," NBER Working Papers 6880, National Bureau of Economic Research, Inc.
    30. Jessica Wachter, 2008. "Can time-varying risk of rare disasters explain aggregate stock market volatility?," 2008 Meeting Papers 944, Society for Economic Dynamics.
    31. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, vol. 64(6), pages 1439-67, November.
    32. 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.
    33. Lars Peter Hansen & John Heaton & Nan Li, 2005. "Consumption Strikes Back?: Measuring Long-Run Risk," NBER Working Papers 11476, National Bureau of Economic Research, Inc.
    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. Balduzzi, Pierluigi & Kallal, Hedi, 1997. " Risk Premia and Variance Bounds," Journal of Finance, American Finance Association, vol. 52(5), pages 1913-49, December.
    36. 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.
    37. 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.
    38. 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.
    39. 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.
    40. 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.
    41. 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.
    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. 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.
    44. 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.
    45. 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.
    46. 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.
    47. 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.
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