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Doubts or variability?

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Author Info

  • Barillas, Francisco
  • Hansen, Lars Peter
  • Sargent, Thomas J.

Abstract

Reinterpreting most of the market price of risk as a price of model uncertainty eradicates a link between asset prices and measures of the welfare costs of aggregate fluctuations that was proposed by Hansen, Sargent, and Tallarini [17], Tallarini [30], Alvarez and Jermann [1]. Prices of model uncertainty contain information about the benefits of removing model uncertainty, not the consumption fluctuations that Lucas [22] and [23] studied. A max-min expected utility theory lets us reinterpret Tallarini's risk-aversion parameter as measuring a representative consumer's doubts about the model specification. We use model detection instead of risk-aversion experiments to calibrate that parameter. Plausible values of detection error probabilities give prices of model uncertainty that approach the Hansen and Jagannathan [11] bounds. Fixed detection error probabilities give rise to virtually identical asset prices as well as virtually identical costs of model uncertainty for Tallarini's two models of consumption growth.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 6 (November)
Pages: 2388-2418

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:6:p:2388-2418

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Web page: http://www.elsevier.com/locate/inca/622869

Related research

Keywords: Risk aversion Model misspecification Robustness Market price of risk Equity premium puzzle Risk-free rate puzzle Detection error probability Costs of model uncertainty;

References

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  1. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2004. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Carlo Alberto Notebooks 12, Collegio Carlo Alberto, revised 2006.
  2. Sujoy Mukerji & Peter Klibanoff, 2002. "A Smooth Model of Decision,Making Under Ambiguity," Economics Series Working Papers 113, University of Oxford, Department of Economics.
  3. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Levine's Working Paper Archive 786969000000000126, David K. Levine.
  4. John H Cochrane, 2003. "Where is the Market Going: Uncertain Facts and Novel Theories," Levine's Working Paper Archive 618897000000000762, David K. Levine.
  5. 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.
  6. Robert E. Lucas Jr., 2003. "Macroeconomic Priorities," American Economic Review, American Economic Association, vol. 93(1), pages 1-14, March.
  7. 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.
  8. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Wiley Blackwell, vol. 66(4), pages 873-907, October.
  9. Evan W. Anderson & Lars Peter Hansen & Thomas J. Sargent, 2003. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 68-123, 03.
  10. Hansen, Lars Peter & Sargent, Thomas J., 2007. "Recursive robust estimation and control without commitment," Journal of Economic Theory, Elsevier, vol. 136(1), pages 1-27, September.
  11. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  12. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  13. Fernando Alvarez & Urban J. Jermann, 2000. "Using Asset Prices to Measure the Cost of Business Cycles," NBER Working Papers 7978, National Bureau of Economic Research, Inc.
  14. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February.
  15. 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.
  16. Hansen, Lars Peter & Sargent, Thomas J., 2005. "Robust estimation and control under commitment," Journal of Economic Theory, Elsevier, vol. 124(2), pages 258-301, October.
  17. Obstfeld, Maurice, 1994. "Evaluating risky consumption paths: The role of intertemporal substitutability," European Economic Review, Elsevier, vol. 38(7), pages 1471-1486, August.
  18. Jim Dolmas, 1998. "Risk Preferences and the Welfare Cost of Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 646-676, July.
  19. Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2006. "Dynamic variational preferences," Journal of Economic Theory, Elsevier, vol. 128(1), pages 4-44, May.
  20. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
  21. 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.
  22. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
  23. Kocherlakota, Narayana R, 1990. " Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-90, March.
  24. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
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Citations

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Cited by:
  1. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
  2. Martin Schneider, 2010. "The Research Agenda: Martin Schneider on Multiple Priors Preferences and Financial Markets," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 11(2), April.
  3. Nina Boyarchenko & Mario Cerrato & John Crosby & Stewart Hodges, 2012. "No good deals—no bad models," Staff Reports 589, Federal Reserve Bank of New York.
  4. Nengjiu Ju & Jianjun Miao, 2010. "Ambiguity, Learning, and Asset Returns," CEMA Working Papers 438, China Economics and Management Academy, Central University of Finance and Economics.
  5. Rieger, Marc Oliver & Wang, Mei, 2012. "Can ambiguity aversion solve the equity premium puzzle? Survey evidence from international data," Finance Research Letters, Elsevier, vol. 9(2), pages 63-72.
  6. Croce, Mariano M. & Nguyen, Thien T. & Schmid, Lukas, 2012. "The market price of fiscal uncertainty," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 401-416.
  7. Breuer, Thomas & Csiszár, Imre, 2013. "Systematic stress tests with entropic plausibility constraints," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1552-1559.
  8. Ohanian, Lee E. & Prescott, Edward C. & Stokey, Nancy L., 2009. "Introduction to dynamic general equilibrium," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2235-2246, November.
  9. Boyarchenko, Nina, 2012. "Ambiguity shifts and the 2007–2008 financial crisis," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 493-507.
  10. Ellison, Martin & Sargent, Thomas J., 2012. "Welfare cost of business cycles in economies with individual consumption risk," Research Discussion Papers 25/2012, Bank of Finland.
  11. Rhys Bidder & Matthew E. Smith, 2013. "Doubts and variability: a robust perspective on exotic consumption series," Working Paper Series 2013-28, Federal Reserve Bank of San Francisco.
  12. Thomas Breuer & Imre Csiszar, 2013. "Measuring Model Risk," Papers 1301.4832, arXiv.org.
  13. Todd Sarver, 2012. "Optimal Reference Points and Anticipation," Discussion Papers 1566, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Andreasen, Martin M., 2012. "An estimated DSGE model: Explaining variation in nominal term premia, real term premia, and inflation risk premia," European Economic Review, Elsevier, vol. 56(8), pages 1656-1674.
  15. Thomas J. Sargent, 2007. "Commentary on "Long-run risks and financial markets"," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 301-304.
  16. Robert Baumann & Justin Svec, 2013. "The Impact of Political Uncertainty: A Robust Control Approach," Working Papers 1306, College of the Holy Cross, Department of Economics.
  17. Ignacio Presno & Demian Pouzo, 2012. "Sovereign Default Risk and Uncertainty Premia," 2012 Meeting Papers 608, Society for Economic Dynamics.

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