IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/80046.html
   My bibliography  Save this paper

Robustness, Low Risk-Free Rates, and Consumption Volatility in General Equilibrium

Author

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

Abstract

This paper develops a tractable continuous-time recursive utility (RU) version of the Huggett (1993) model to explore how the preference for robustness (RB) interacts with intertemporal substitution and risk aversion and then affects the interest rate, the dynamics of consumption and income, and the welfare costs of model uncertainty in general equilibrium. We show that RB reduces the equilibrium interest rate and the relative volatility of consumption growth to income growth when the income process is stationary, but our benchmark model cannot match the observed relative volatility. An extension to an RU-RB model with a risky asset is successful at matching this ratio. The model implies that the welfare costs of uncertainty are very large.

Suggested Citation

  • 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.
  • Handle: RePEc:pra:mprapa:80046
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/80046/1/MPRA_paper_80046.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Young, Eric R., 2012. "Robust policymaking in the face of sudden stops," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 512-527.
    2. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Misspecification," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 6, pages 155-216, World Scientific Publishing Co. Pte. Ltd..
    3. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    4. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2006. "Idiosyncratic production risk, growth and the business cycle," Journal of Monetary Economics, Elsevier, vol. 53(6), pages 1095-1115, September.
    5. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    6. 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.
    7. 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.
    8. Anmol Bhandari & Jaroslav Borovička & Paul Ho, 2016. "Identifying Ambiguity Shocks in Business Cycle Models Using Survey Data," NBER Working Papers 22225, National Bureau of Economic Research, Inc.
    9. 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.
    10. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    11. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    12. Wang, Neng, 2009. "Optimal consumption and asset allocation with unknown income growth," Journal of Monetary Economics, Elsevier, vol. 56(4), pages 524-534, May.
    13. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    14. 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.
    15. Lars Peter Hansen & Thomas J. Sargent, 2007. "Introduction to Robustness," Introductory Chapters, in: Robustness, Princeton University Press.
    16. Robert E. Hall, 2016. "The Role of the Growth of Risk-Averse Wealth in the Decline of the Safe Real Interest Rate," NBER Working Papers 22196, National Bureau of Economic Research, Inc.
    17. 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.
    18. 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.
    19. 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.
    20. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
    21. 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.
    22. Boyarchenko, Nina, 2012. "Ambiguity shifts and the 2007–2008 financial crisis," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 493-507.
    23. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    24. Jun Liu, 2005. "An Equilibrium Model of Rare-Event Premia and Its Implication for Option Smirks," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 131-164.
    25. 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..
    26. 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.
    27. anonymous, 2007. "Bank asset growth robust, statistics show," Financial Update, Federal Reserve Bank of Atlanta, vol. 20(2).
    28. 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.
    29. 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.
    30. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Robustness, Low Risk-Free Rates, and Consumption Volatility in General Equilibrium
      by Christian Zimmermann in NEP-DGE blog on 2017-07-12 19:07:55

    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. 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.
    2. 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.
    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 & 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.
    5. Luo, Yulei & Nie, Jun & Wang, Haijun, 2022. "Ignorance, pervasive uncertainty, and household finance," Journal of Economic Theory, Elsevier, vol. 199(C).
    6. Luo, Yulei, 2014. "Strategic Consumption-Portfolio Rules and Precautionary Savings with Informational Frictions," MPRA Paper 58077, University Library of Munich, Germany.
    7. 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.
    8. 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.
    9. Luo, Yulei & Young, Eric, 2013. "Consumption, Market Price of Risk, and Wealth Accumulation under Induced Uncertainty," MPRA Paper 50998, University Library of Munich, Germany.
    10. 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.
    11. 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.
    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. Yulei Luo & Jun Nie & Gaowang Wang & Eric Young, 2014. "What we don’t know doesn’t hurt us: rational inattention and the permanent income hypothesis in general equilibrium," Research Working Paper RWP 14-14, Federal Reserve Bank of Kansas City.
    14. 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.
    15. 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.
    16. Toda, Alexis Akira, 2017. "Huggett economies with multiple stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 77-90.
    17. Dew-Becker, Ian & Nathanson, Charles G., 2019. "Directed attention and nonparametric learning," Journal of Economic Theory, Elsevier, vol. 181(C), pages 461-496.
    18. Yulei Luo & Jun Nie & Eric R. Young, 2015. "Slow Information Diffusion And The Inertial Behavior Of Durable Consumption," Journal of the European Economic Association, European Economic Association, vol. 13(5), pages 805-840, October.
    19. Toda, Alexis Akira, 2014. "Incomplete market dynamics and cross-sectional distributions," Journal of Economic Theory, Elsevier, vol. 154(C), pages 310-348.
    20. 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.

    More about this item

    Keywords

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

    JEL classification:

    • 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:80046. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.