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Sources of entropy in representative agent models

  • Backus, David
  • Chernov, Mikhail
  • Zin, Stanley E.

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.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8488.

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Date of creation: Jul 2011
Date of revision:
Handle: RePEc:cpr:ceprdp:8488
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  1. Lars Peter Hansen & Jose Scheinkman, 2006. "Long Term Risk: An Operator Approach," NBER Working Papers 12650, National Bureau of Economic Research, Inc.
  2. 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.
  3. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
  4. Garcia, R. & Luger, R. & Renault, E., 2001. "Empirical Assessment of an Intertemporal option Pricing Model with Latent variables," Cahiers de recherche 2001-10, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  5. Jose Ursua & Jon Steinsson & Emi Nakamura & Robert Barro, 2008. "Crises and Recoveries in an Empirical Model of Consumption Disasters," 2008 Meeting Papers 1089, Society for Economic Dynamics.
  6. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
  7. 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.
  8. Beeler, Jason & Campbell, John Y., 2012. "The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment," Scholarly Articles 9887621, Harvard University Department of Economics.
  9. Bekaert, Geert & Engstrom, Eric, 2010. "Asset Return Dynamics Under Bad Environment-Good Environment Fundamentals," CEPR Discussion Papers 8150, C.E.P.R. Discussion Papers.
  10. Heaton, John, 1995. "An Empirical Investigation of Asset Pricing with Temporally Dependent Preference Specifications," Econometrica, Econometric Society, vol. 63(3), pages 681-717, May.
  11. 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.
  12. 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.
  13. 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.
  14. John Y. Campbell & John H. Cochrane, 1994. "By force of habit: a consumption-based explanation of aggregate stock market behavior," Working Papers 94-17, Federal Reserve Bank of Philadelphia.
  15. David Backus & Mikhail Chernov & Ian Martin, 2009. "Disasters implied by equity index options," NBER Working Papers 15240, National Bureau of Economic Research, Inc.
  16. Greg Duffee, 2010. "Sharpe ratios in term structure models," Economics Working Paper Archive 575, The Johns Hopkins University,Department of Economics.
  17. Bjørn Eraker & Ivan Shaliastovich, 2008. "An Equilibrium Guide To Designing Affine Pricing Models," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 519-543.
  18. 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.
  19. 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.
  20. 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.
  21. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  22. Lars Peter Hansen, 2008. "Modeling the Long Run: Valuation in Dynamic Stochastic Economies," NBER Working Papers 14243, National Bureau of Economic Research, Inc.
  23. 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.
  24. 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.
  25. Martin Lettau & Harald Uhlig, 2000. "Can Habit Formation be Reconciled with Business Cycle Facts?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 79-99, January.
  26. Longstaff, Francis A. & Piazzesi, Monika, 2004. "Corporate earnings and the equity premium," Journal of Financial Economics, Elsevier, vol. 74(3), pages 401-421, December.
  27. 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.
  28. 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.
  29. Adrien Verdelhan, 2006. "A Habit-Based Explanation of the Exchange Rate Risk Premium," 2006 Meeting Papers 872, Society for Economic Dynamics.
  30. Broadie, Mark & Chernov, Mikhail & Johannes, Michael, 2007. "Understanding Index Option Returns," CEPR Discussion Papers 6239, C.E.P.R. Discussion Papers.
  31. Phillippe Weil, 1997. "The Equity Premium Puzzle and the Risk-Free Rate Puzzle," Levine's Working Paper Archive 1833, David K. Levine.
  32. 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.
  33. 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.
  34. 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.
  35. Jessica A. Wachter, 2013. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," Journal of Finance, American Finance Association, vol. 68(3), pages 987-1035, 06.
  36. 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.
  37. 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.
  38. Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 1-90, Wharton School Rodney L. White Center for Financial Research.
  39. Barro, Robert, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," Scholarly Articles 3208215, Harvard University Department of Economics.
  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. 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.
  42. 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.
  43. 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.
  44. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-85, March.
  45. 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.
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