Advanced Search
MyIDEAS: Login

Sources of Entropy in Representative Agent Models

Contents:

Author Info

  • David Backus
  • Mikhail Chernov
  • Stanley E. Zin

Abstract

We propose two metrics for asset pricing models and apply them to representative agent models with recursive preferences, habits, and jumps. The metrics describe the pricing kernel’s dispersion (the entropy of the title) and dynamics (time dependence, a measure of how entropy varies over different time horizons). We show how each model generates entropy and time dependence and compare their magnitudes to estimates derived from asset returns. This exercise — and transparent loglinear approximations — clarifies the mechanisms underlying these models. It also reveals, in some cases, tension between entropy, which should be large enough to account for observed excess returns, and time dependence, which should be small enough to account for mean yield spreads.

Download Info

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://www.nber.org/papers/w17219.pdf
Download Restriction: Access to the full text is generally limited to series subscribers, however if the top level domain of the client browser is in a developing country or transition economy free access is provided. More information about subscriptions and free access is available at http://www.nber.org/wwphelp.html. Free access is also available to older working papers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 17219.

as in new window
Length:
Date of creation: Jul 2011
Date of revision:
Handle: RePEc:nbr:nberwo:17219

Note: AP
Contact details of provider:
Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Phone: 617-868-3900
Email:
Web page: http://www.nber.org
More information through EDIRC

Related research

Keywords:

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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. David Backus & Mikhail Chernov & Ian Martin, 2009. "Disasters Implied by Equity Index Options," Working Papers 09-14, New York University, Leonard N. Stern School of Business, Department of Economics.
  2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  3. Jules H. van Binsbergen & Michael W. Brandt & Ralph S.J. Koijen, 2010. "On the Timing and Pricing of Dividends," NBER Working Papers 16455, National Bureau of Economic Research, Inc.
  4. Garcia, Rene & Luger, Richard & Renault, Eric, 2003. "Empirical assessment of an intertemporal option pricing model with latent variables," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 49-83.
  5. David Backus & Silverio Foresi & Abon Mozumdar & Liuren Wu, 1998. "Predictable Changes in Yields and Forward Rates," NBER Working Papers 6379, National Bureau of Economic Research, Inc.
  6. Abel, A.B., 1990. "Asset Prices Under Habit Formation And Catching Up With The Joneses," Weiss Center Working Papers 1-90, Wharton School - Weiss Center for International Financial Research.
  7. Longstaff, Francis A. & Piazzesi, Monika, 2004. "Corporate earnings and the equity premium," Journal of Financial Economics, Elsevier, vol. 74(3), pages 401-421, December.
  8. 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.
  9. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
  10. Jules H. van Binsbegen & Michael W. Brandt & Ralph S.J. Koijen, 2010. "On the Timing and Pricing of Dividends," Working Papers 2010-010, Becker Friedman Institute for Research In Economics.
  11. Adrien Verdelhan, 2006. "A Habit-Based Explanation of the Exchange Rate Risk Premium," 2006 Meeting Papers 872, Society for Economic Dynamics.
  12. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, 01.
  13. Lettau, M. & Uhlig, H., 1995. "Can Habit Formation be Reconciled with Business Cycle Facts?," Discussion Paper 1995-54, Tilburg University, Center for Economic Research.
  14. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  15. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
  16. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
  17. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
  18. Barro, Robert, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," Scholarly Articles 3208215, Harvard University Department of Economics.
  19. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  20. John Y. Campbell & John H. Cochrane, 1994. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," CRSP working papers 412, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  21. 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.
  22. 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, 08.
  23. Broadie, Mark & Chernov, Mikhail & Johannes, Michael, 2007. "Understanding Index Option Returns," CEPR Discussion Papers 6239, C.E.P.R. Discussion Papers.
  24. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
  25. Michael F. Gallmeyer & Burton Hollifield & Francisco Palomino & Stanley E. Zin, 2007. "Arbitrage-Free Bond Pricing with Dynamic Macroeconomic Models," NBER Working Papers 13245, National Bureau of Economic Research, Inc.
  26. Heaton, John, 1995. "An Empirical Investigation of Asset Pricing with Temporally Dependent Preference Specifications," Econometrica, Econometric Society, vol. 63(3), pages 681-717, May.
  27. 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.
  28. Campbell, John, 1993. "Intertemporal Asset Pricing Without Consumption Data," Scholarly Articles 3221491, Harvard University Department of Economics.
  29. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," Working Papers 94-09, New York University, Leonard N. Stern School of Business, Department of Economics.
  30. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
  31. Xavier Gabaix, 2008. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," NBER Working Papers 13724, National Bureau of Economic Research, Inc.
  32. Philippe Mueller & Mikhail Chernov, 2008. "The Term Structure of Inflation Expectations," 2008 Meeting Papers 346, Society for Economic Dynamics.
  33. 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.
  34. Emi Nakamura & Jón Steinsson & Robert Barro & José Ursúa, 2010. "Crises and Recoveries in an Empirical Model of Consumption Disasters," NBER Working Papers 15920, National Bureau of Economic Research, Inc.
  35. Greg Duffee, 2010. "Sharpe ratios in term structure models," Economics Working Paper Archive 575, The Johns Hopkins University,Department of Economics.
  36. Bjørn Eraker & Ivan Shaliastovich, 2008. "An Equilibrium Guide To Designing Affine Pricing Models," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 519-543.
  37. Ravi Bansal & Dana Kiku & Amir Yaron, 2009. "An Empirical Evaluation of the Long-Run Risks Model for Asset Prices," NBER Working Papers 15504, National Bureau of Economic Research, Inc.
  38. 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.
  39. Benzoni, Luca & Collin-Dufresne, Pierre & Goldstein, Robert S., 2011. "Explaining asset pricing puzzles associated with the 1987 market crash," Journal of Financial Economics, Elsevier, vol. 101(3), pages 552-573, September.
  40. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, 09.
  41. Stanley E. Zin & Bryan R. Routledge & David K. Backus, 2009. "The Cyclical Component of US Asset Returns," 2009 Meeting Papers 13, Society for Economic Dynamics.
  42. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-85, March.
  43. Bansal, Ravi & Lehmann, Bruce N., 1997. "Growth-Optimal Portfolio Restrictions On Asset Pricing Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 333-354, June.
  44. Lars Peter Hansen, 2008. "Modeling the Long Run: Valuation in Dynamic Stochastic Economies," NBER Working Papers 14243, National Bureau of Economic Research, Inc.
  45. Jason Beeler & John Y. Campbell, 2009. "The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment," NBER Working Papers 14788, National Bureau of Economic Research, Inc.
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 in new window

Cited by:
  1. Jaroslav Borovicka & Lars Peter Hansen, 2011. "Examining Macroeconomic Models Through the Lens of Asset Pricing," Working Papers 2011-012, Becker Friedman Institute for Research In Economics.
  2. Anisha Ghosh & Christian Julliard, 2011. "What is the Consumption-CAPM missing? An informative-Theoretic Framework for the Analysis of Asset Pricing Models," FMG Discussion Papers dp691, Financial Markets Group.

Lists

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

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:17219

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.