IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/63985.html
   My bibliography  Save this paper

Robust Permanent Income in General Equilibrium

Author

Listed:
  • Luo, Yulei
  • Nie, Jun
  • Young, Eric

Abstract

This paper provides a tractable continuous-time constant-absolute-risk averse (CARA)-Gaussian framework to quantitatively explore how the preference for robustness (RB) affects the interest rate, the dynamics of consumption and income, and the welfare costs of model uncertainty in general equilibrium. We show that RB significantly reduces the equilibrium interest rate, and reduces (increases) the relative volatility of consumption growth to income growth when the income process is stationary (non-stationary). Furthermore, we find that the welfare costs of model uncertainty are nontrivial for plausibly estimated income processes and calibrated RB parameter values. Finally, we extend the benchmark model to consider the separation of risk aversion and intertemporal substitution, incomplete information about income, and regime-switching in income growth.

Suggested Citation

  • Luo, Yulei & Nie, Jun & Young, Eric, 2015. "Robust Permanent Income in General Equilibrium," MPRA Paper 63985, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:63985
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/63985/1/MPRA_paper_63985.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    3. Wang, Neng, 2004. "Precautionary saving and partially observed income," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1645-1681, November.
    4. Young, Eric R., 2012. "Robust policymaking in the face of sudden stops," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 512-527.
    5. George-Marios Angeletos & Jennifer La'O, 2010. "Noisy Business Cycles," NBER Chapters, in: NBER Macroeconomics Annual 2009, Volume 24, pages 319-378, National Bureau of Economic Research, Inc.
    6. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14, National Bureau of Economic Research, Inc.
    7. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    8. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
    9. Pischke, Jorn-Steffen, 1995. "Individual Income, Incomplete Information, and Aggregate Consumption," Econometrica, Econometric Society, vol. 63(4), pages 805-840, July.
    10. Cosmin L. Ilut & Martin Schneider, 2014. "Ambiguous Business Cycles," American Economic Review, American Economic Association, vol. 104(8), pages 2368-2399, August.
    11. Lars Peter Hansen & Thomas J Sargent, 2014. "Doubts or Variability?," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 7, pages 217-256, World Scientific Publishing Co. Pte. Ltd..
    12. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    13. 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.
    14. Honda, Toshiki, 2003. "Optimal portfolio choice for unobservable and regime-switching mean returns," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 45-78, October.
    15. Martin Floden & Jesper Lindé, 2001. "Idiosyncratic Risk in the United States and Sweden: Is There a Role for Government Insurance?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 406-437, July.
    16. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    17. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    18. Hall, Robert E & Mishkin, Frederic S, 1982. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," Econometrica, Econometric Society, vol. 50(2), pages 461-481, March.
    19. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    20. anonymous, 2007. "Bank asset growth robust, statistics show," Financial Update, Federal Reserve Bank of Atlanta, vol. 20(2).
    21. Bidder, R.M. & Smith, M.E., 2012. "Robust animal spirits," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 738-750.
    22. Lars Peter Hansen & Thomas J. Sargent, 2007. "Introduction to Robustness," Introductory Chapters, in: Robustness, Princeton University Press.
    23. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    24. Richard Blundell & Luigi Pistaferri & Ian Preston, 2008. "Consumption Inequality and Partial Insurance," American Economic Review, American Economic Association, vol. 98(5), pages 1887-1921, December.
    25. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    26. Timothy Cogley & Riccardo Colacito & Lars Peter Hansen & Thomas J. Sargent, 2008. "Robustness and U.S. Monetary Policy Experimentation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1599-1623, December.
    27. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    28. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 40-84, February.
    29. Anne Epaulard & Aude Pommeret, 2003. "Recursive Utility, Endogenous Growth, and the Welfare Cost of Volatility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 672-684, July.
    30. 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.
    31. Neng Wang, 2003. "Caballero Meets Bewley: The Permanent-Income Hypothesis in General Equilibrium," American Economic Review, American Economic Association, vol. 93(3), pages 927-936, June.
    32. James D. Hamilton & Ethan S. Harris & Jan Hatzius & Kenneth D. West, 2016. "The Equilibrium Real Funds Rate: Past, Present, and Future," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(4), pages 660-707, November.
    33. Lars Peter Hansen & Thomas J Sargent, 2014. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 4, pages 83-143, World Scientific Publishing Co. Pte. Ltd..
    34. Fatih Guvenen & Anthony A. Smith, 2014. "Inferring Labor Income Risk and Partial Insurance From Economic Choices," Econometrica, Econometric Society, vol. 82, pages 2085-2129, November.
    35. Yulei Luo & Eric R. Young, 2010. "Risk-Sensitive Consumption and Savings under Rational Inattention," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 281-325, October.
    36. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, March.
    37. Luo, Yulei & Nie, Jun & Young, Eric R., 2012. "Robustness, information–processing constraints, and the current account in small open economies," Journal of International Economics, Elsevier, vol. 88(1), pages 104-120.
    38. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    39. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
    40. Lawrence H Summers, 2014. "U.S. Economic Prospects: Secular Stagnation, Hysteresis, and the Zero Lower Bound," Business Economics, Palgrave Macmillan;National Association for Business Economics, vol. 49(2), pages 65-73, April.
    41. Kenneth Kasa, 2006. "Robustness and Information Processing," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 1-33, January.
    42. Wang, Neng, 2009. "Optimal consumption and asset allocation with unknown income growth," Journal of Monetary Economics, Elsevier, vol. 56(4), pages 524-534, May.
    43. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    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


    Cited by:

    1. Wang, Haijun, 2016. "Precautionary saving demand and consumption dynamics with the spirit of capitalism and regime switching," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 48-65.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Luo, Yulei & Nie, Jun & Young, Eric, 2017. "Robustness, Low Risk-Free Rates, and Consumption Volatility in General Equilibrium," MPRA Paper 80046, University Library of Munich, Germany.
    2. Luo, Yulei & Young, Eric R., 2016. "Induced uncertainty, market price of risk, and the dynamics of consumption and wealth," Journal of Economic Theory, Elsevier, vol. 163(C), pages 1-41.
    3. Yulei Luo, 2017. "Robustly Strategic Consumption–Portfolio Rules with Informational Frictions," Management Science, INFORMS, vol. 63(12), pages 4158-4174, December.
    4. Luo, Yulei, 2014. "Strategic Consumption-Portfolio Rules and Precautionary Savings with Informational Frictions," MPRA Paper 58077, University Library of Munich, Germany.
    5. Luo, Yulei & Nie, Jun & Wang, Gaowang & Young, Eric R., 2017. "Rational inattention and the dynamics of consumption and wealth in general equilibrium," Journal of Economic Theory, Elsevier, vol. 172(C), pages 55-87.
    6. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    7. Luo, Yulei & Nie, Jun & Young, Eric R., 2014. "Model uncertainty and intertemporal tax smoothing," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 289-314.
    8. Luo, Yulei & Nie, Jun & Young, Eric R., 2012. "Robustness, information–processing constraints, and the current account in small open economies," Journal of International Economics, Elsevier, vol. 88(1), pages 104-120.
    9. Luo, Yulei & Nie, Jun & Wang, Gaowang & Young, Eric, 2014. "What We Don't Know Doesn't Hurt Us: Rational Inattention and the Permanent Income Hypothesis in General Equilibrium," MPRA Paper 59182, University Library of Munich, Germany.
    10. Luo, Yulei & Nie, Jun & Young, Eric R., 2014. "Robust control, informational frictions, and international consumption correlations," European Economic Review, Elsevier, vol. 67(C), pages 1-27.
    11. Dew-Becker, Ian & Nathanson, Charles G., 2019. "Directed attention and nonparametric learning," Journal of Economic Theory, Elsevier, vol. 181(C), pages 461-496.
    12. Meyer-Gohde, Alexander, 2019. "Generalized entropy and model uncertainty," Journal of Economic Theory, Elsevier, vol. 183(C), pages 312-343.
    13. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    14. Luo, Yulei & Young, Eric, 2013. "Consumption, Market Price of Risk, and Wealth Accumulation under Induced Uncertainty," MPRA Paper 50998, University Library of Munich, Germany.
    15. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    16. Yulei Luo, 2008. "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(2), pages 366-385, April.
    17. Lee, Sang Seok & Luk, Paul, 2018. "The Asian Financial Crisis and international reserve accumulation: A robust control approach," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 284-309.
    18. Xu, Yuan, 2015. "Robustness to model uncertainty and the nominal term premium puzzle," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 124-137.
    19. Christopher D. Carroll & Edmund Crawley & Jiri Slacalek & Kiichi Tokuoka & Matthew N. White, 2020. "Sticky Expectations and Consumption Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(3), pages 40-76, July.
    20. Cogley, Timothy & De Paoli, Bianca & Matthes, Christian & Nikolov, Kalin & Yates, Tony, 2011. "A Bayesian approach to optimal monetary policy with parameter and model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2186-2212.

    More about this item

    Keywords

    Robustness; Model Uncertainty; Precautionary Savings; the Permanent Income Hypothesis; Low Interest Rates; Consumption Inequality; General Equilibrium.;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:63985. 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: (Joachim Winter). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.