[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/fip/fedkrw/rwp15-14.html
   My bibliography  Save this paper

Robust permanent income in general equilibrium

Author

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 the relative volatility of consumption growth to income growth when the income process is 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 and regime-switching in income growth.

Suggested Citation

  • Yulei Luo & Jun Nie & Eric Young, 2015. "Robust permanent income in general equilibrium," Research Working Paper RWP 15-14, Federal Reserve Bank of Kansas City.
    • Handle: RePEc:fip:fedkrw:rwp15-14
    DOI: 10.18651/RWP2015-14
    as

    Download full text from publisher

    File URL: https://www.kansascityfed.org/documents/548/pdf-Ambiguity,%20Low%20Risk-Free%20Rates,%20and%20Consumption%20Inequality.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.18651/RWP2015-14?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Young, Eric R., 2012. "Robust policymaking in the face of sudden stops," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 512-527.
    3. 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.
    4. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14, National Bureau of Economic Research, Inc.
    5. Pischke, Jorn-Steffen, 1995. "Individual Income, Incomplete Information, and Aggregate Consumption," Econometrica, Econometric Society, vol. 63(4), pages 805-840, July.
    6. Cosmin L. Ilut & Martin Schneider, 2014. "Ambiguous Business Cycles," American Economic Review, American Economic Association, vol. 104(8), pages 2368-2399, August.
    7. 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..
    8. 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..
    9. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    10. 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.
    11. 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.
    12. Bidder, R.M. & Smith, M.E., 2012. "Robust animal spirits," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 738-750.
    13. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    14. 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.
    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. 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. 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.
    18. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
    19. 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.
    20. 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.
    21. 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..
    22. 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.
    23. 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.
    24. 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.
    25. Wang, Neng, 2009. "Optimal consumption and asset allocation with unknown income growth," Journal of Monetary Economics, Elsevier, vol. 56(4), pages 524-534, May.
    26. 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.
    27. Ellison, Martin & Sargent, Thomas J., 2012. "Welfare cost of business cycles in economies with individual consumption risk," Bank of Finland Research Discussion Papers 25/2012, Bank of Finland.
    28. 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.
    29. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    30. Wang, Neng, 2004. "Precautionary saving and partially observed income," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1645-1681, November.
    31. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," The Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
    32. repec:zbw:bofrdp:2012_025 is not listed on IDEAS
    33. 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.
    34. 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.
    35. anonymous, 2007. "Bank asset growth robust, statistics show," Financial Update, Federal Reserve Bank of Atlanta, vol. 20(2).
    36. Lars Peter Hansen & Thomas J. Sargent, 2007. "Introduction to Robustness," Introductory Chapters, in: Robustness, Princeton University Press.
    37. Robert E. Lucas Jr., 2003. "Macroeconomic Priorities," American Economic Review, American Economic Association, vol. 93(1), pages 1-14, March.
    38. 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.
    39. 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.
    40. 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.
    41. 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.
    42. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1.
    43. 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.
    44. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
    45. 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.
    46. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    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. Luo, Yulei, 2014. "Strategic Consumption-Portfolio Rules and Precautionary Savings with Informational Frictions," MPRA Paper 58077, University Library of Munich, Germany.
    4. Luo, Yulei, 2015. "Robustly Strategic Consumption-Portfolio Rules with Informational Frictions," MPRA Paper 64312, 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. Luo, Yulei & Nie, Jun & Wang, Haijun, 2022. "Ignorance, pervasive uncertainty, and household finance," Journal of Economic Theory, Elsevier, vol. 199(C).
    7. Yulei Luo, 2017. "Robustly Strategic Consumption–Portfolio Rules with Informational Frictions," Management Science, INFORMS, vol. 63(12), pages 4158-4174, December.
    8. 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.
    9. 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.
    10. 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.
    11. Yulei Luo & Jun Nie & Eric R Young, 2020. "Ambiguity, Low Risk-Free Rates and Consumption Inequality," The Economic Journal, Royal Economic Society, vol. 130(632), pages 2649-2679.
    12. 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.
    13. 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.
    14. Dew-Becker, Ian & Nathanson, Charles G., 2019. "Directed attention and nonparametric learning," Journal of Economic Theory, Elsevier, vol. 181(C), pages 461-496.
    15. Yulei Luo & Jun Nie & Haijun Wang, 2023. "Ambiguous Consumption and Asset Allocation with Unknown Markovian Income Growth," Annals of Economics and Finance, Society for AEF, vol. 24(2), pages 237-275, November.
    16. Levrero, Enrico Sergio, 2022. "The Taylor Rule and its Aftermath: Elements for an Interpretation along Classical-Keynesian lines," Centro Sraffa Working Papers CSWP59, Centro di Ricerche e Documentazione "Piero Sraffa".
    17. Meyer-Gohde, Alexander, 2019. "Generalized entropy and model uncertainty," Journal of Economic Theory, Elsevier, vol. 183(C), pages 312-343.
    18. Luo, Yulei & Young, Eric, 2013. "Consumption, Market Price of Risk, and Wealth Accumulation under Induced Uncertainty," MPRA Paper 50998, University Library of Munich, Germany.
    19. Yulei Luo & Jun Nie & Heng-fu Zou, 2021. "Wealth in the Utility Function and Consumption Inequality," Research Working Paper RWP 21-17, Federal Reserve Bank of Kansas City.
    20. Enrico Sergio Levrero, 2021. "Estimates of the Natural Rate of Interest and the Stance of Monetary Policies: A Critical Assessment," International Journal of Political Economy, Taylor & Francis Journals, vol. 50(1), pages 5-27, February.

    More about this item

    Keywords

    Interest rates; Savings; Income; Consumption; General equilibrium;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • 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:fip:fedkrw:rwp15-14. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Zach Kastens (email available below). General contact details of provider: https://edirc.repec.org/data/frbkcus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.