IDEAS home Printed from https://ideas.repec.org/p/fip/fedfwp/2011-01.html
   My bibliography  Save this paper

Have we underestimated the likelihood and severity of zero lower bound events?

Author

Abstract

Before the recent recession, the consensus among researchers was that the zero lower bound (ZLB) probably would not pose a significant problem for monetary policy as long as a central bank aimed for an inflation rate of about 2 percent; some have even argued that an appreciably lower target inflation rate would pose no problems. This paper reexamines this consensus in the wake of the financial crisis, which has seen policy rates at their effective lower bound for more than two years in the United States and Japan and near zero in many other countries. We conduct our analysis using a set of structural and time series statistical models. We find that the decline in economic activity and interest rates in the United States has generally been well outside forecast confidence bands of many empirical macroeconomic models. In contrast, the decline in inflation has been less surprising. We identify a number of factors that help to account for the degree to which models were surprised by recent events. First, uncertainty about model parameters and latent variables, which were typically ignored in past research, significantly increases the probability of hitting the ZLB. Second, models that are based primarily on the Great Moderation period severely understate the incidence and severity of ZLB events. Third, the propagation mechanisms and shocks embedded in standard DSGE models appear to be insufficient to generate sustained periods of policy being stuck at the ZLB, such as we now observe. We conclude that past estimates of the incidence and effects of the ZLB were too low and suggest a need for a general reexamination of the empirical adequacy of standard models. In addition to this statistical analysis, we show that the ZLB probably had a first-order impact on macroeconomic outcomes in the United States. Finally, we analyze the use of asset purchases as an alternative monetary policy tool when short-term interest rates are constrained by the ZLB, and find that the Federal Reserve's asset purchases have been effective at mitigating the economic costs of the ZLB. In particular, model simulations indicate that the past and projected expansion of the Federal Reserve's securities holdings since late 2008 will lower the unemployment rate, relative to what it would have been absent the purchases, by 1-1/2 percentage points by 2012. In addition, we find that the asset purchases have probably prevented the U.S. economy from falling into deflation.

Suggested Citation

  • Hess T. Chung & Jean-Philippe Laforte & David L. Reifschneider & John C. Williams, 2011. "Have we underestimated the likelihood and severity of zero lower bound events?," Working Paper Series 2011-01, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:2011-01
    as

    Download full text from publisher

    File URL: http://www.frbsf.org/publications/economics/papers/2011/wp11-01bk.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kiley, Michael T., 2013. "Output gaps," Journal of Macroeconomics, Elsevier, vol. 37(C), pages 1-18.
    2. Justiniano, Alejandro & Primiceri, Giorgio E. & Tambalotti, Andrea, 2010. "Investment shocks and business cycles," Journal of Monetary Economics, Elsevier, vol. 57(2), pages 132-145, March.
    3. Coenen Günter & Orphanides Athanasios & Wieland Volker, 2004. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-25, February.
    4. Adam, Klaus & Billi, Roberto M., 2006. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1877-1905, October.
    5. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    6. Reifschneider, David & Willams, John C, 2000. "Three Lessons for Monetary Policy in a Low-Inflation Era," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 936-966, November.
    7. McGough, Bruce & Rudebusch, Glenn D. & Williams, John C., 2005. "Using a long-term interest rate as the monetary policy instrument," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 855-879, July.
    8. Thomas Laubach, 2009. "New Evidence on the Interest Rate Effects of Budget Deficits and Debt," Journal of the European Economic Association, MIT Press, vol. 7(4), pages 858-885, June.
    9. Coenen, Günter, 2003. "Zero lower bound: is it a problem in the euro area?," Working Paper Series 269, European Central Bank.
    10. Annette Vissing-Jorgensen & Arvind Krishnamurthy, 2011. "The Effects of Quantitative Easing on Long-term Interest Rates," 2011 Meeting Papers 1447, Society for Economic Dynamics.
    11. Christopher Erceg & Jesper Lindé, 2014. "Is There A Fiscal Free Lunch In A Liquidity Trap?," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 73-107, February.
    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. 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.
    14. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78-121.
    15. Andrés, Javier & López-Salido, J David & Nelson, Edward, 2004. "Tobin's Imperfect Asset Substitution in Optimizing General Equilibrium," CEPR Discussion Papers 4336, C.E.P.R. Discussion Papers.
    16. Athanasios Orphanides & John C. Williams, 2002. "Robust Monetary Policy Rules with Unknown Natural Rates," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 33(2), pages 63-146.
    17. Dimitri Vayanos & Jean‐Luc Vila, 2021. "A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 89(1), pages 77-112, January.
    18. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    19. Lars E.O. Svensson & Robert J. Tetlow, 2005. "Optimal Policy Projections," International Journal of Central Banking, International Journal of Central Banking, vol. 1(3), December.
    20. Martin Bodenstein & Christopher J. Erceg & Luca Guerrieri, 2017. "The effects of foreign shocks when interest rates are at zero," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(3), pages 660-684, August.
    21. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 1994. "Bayesian Analysis of Stochastic Volatility Models: Comments: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 413-417, October.
    22. Joyce, Michael & Lasaosa, Ana & Stevens , Ibrahim & Tong, Matthew, 2010. "The financial market impact of quantitative easing," Bank of England working papers 393, Bank of England.
    23. David L. Reifschneider & John C. Williams, 2000. "Three lessons for monetary policy in a low-inflation era," Conference Series ; [Proceedings], Federal Reserve Bank of Boston, pages 936-978.
    24. Hess T. Chung & Michael T. Kiley & Jean-Philippe Laforte, 2010. "Documentation of the Estimated, Dynamic, Optimization-based (EDO) model of the U.S. economy: 2010 version," Finance and Economics Discussion Series 2010-29, Board of Governors of the Federal Reserve System (U.S.).
    25. Clouse James & Henderson Dale & Orphanides Athanasios & Small David H. & Tinsley P.A., 2003. "Monetary Policy When the Nominal Short-Term Interest Rate is Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 3(1), pages 1-65, September.
    26. Giorgio E. Primiceri, 2005. "Time Varying Structural Vector Autoregressions and Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 821-852.
    27. Eric T. Swanson, 2011. "Let's Twist Again: A High-Frequency Event-study Analysis of Operation Twist and Its Implications for QE2," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(1 (Spring), pages 151-207.
    28. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    29. Robert Engle, 2001. "GARCH 101: The Use of ARCH/GARCH Models in Applied Econometrics," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 157-168, Fall.
    30. Hancock, Diana & Passmore, Wayne, 2011. "Did the Federal Reserve's MBS purchase program lower mortgage rates?," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 498-514.
    31. Evans, George W. & Guse, Eran & Honkapohja, Seppo, 2008. "Liquidity traps, learning and stagnation," European Economic Review, Elsevier, vol. 52(8), pages 1438-1463, November.
    32. Coenen, Gunter & Wieland, Volker, 2003. "The zero-interest-rate bound and the role of the exchange rate for monetary policy in Japan," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1071-1101, July.
    33. McCallum, Bennett T, 2000. "Theoretical Analysis Regarding a Zero Lower Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 870-904, November.
    34. repec:cbo:report:216706 is not listed on IDEAS
    35. Ben S. Bernanke & Vincent R. Reinhart & Brian P. Sack, 2004. "Monetary Policy Alternatives at the Zero Bound: An Empirical Assessment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(2), pages 1-100.
    36. Ben S. Bernanke & Vincent R. Reinhart, 2004. "Conducting Monetary Policy at Very Low Short-Term Interest Rates," American Economic Review, American Economic Association, vol. 94(2), pages 85-90, May.
    37. Baumeister, Christiane & Benati, Luca, 2010. "Unconventional monetary policy and the great recession - Estimating the impact of a compression in the yield spread at the zero lower bound," Working Paper Series 1258, European Central Bank.
    38. John C. Williams, 2009. "Heeding Daedalus: Optimal Inflation and the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(2 (Fall)), pages 1-49.
    39. Svensson, Lars-E-O, 2001. "The Zero Bound in an Open Economy: A Foolproof Way of Escaping from a Liquidity Trap," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 19(S1), pages 277-312, February.
    40. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    41. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    42. Rochelle M. Edge & Michael T. Kiley & Jean-Philippe Laforte, 2010. "A comparison of forecast performance between Federal Reserve staff forecasts, simple reduced-form models, and a DSGE model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(4), pages 720-754.
    43. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
    44. Gauti B. Eggertsson, 2011. "What Fiscal Policy Is Effective at Zero Interest Rates?," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 59-112, National Bureau of Economic Research, Inc.
    45. Orphanides, Athanasios & Porter, Richard D. & Reifschneider, David & Tetlow, Robert & Finan, Frederico, 2000. "Errors in the measurement of the output gap and the design of monetary policy," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 117-141.
    46. Glenn D. Rudebusch & Brian P. Sack & Eric T. Swanson, 2007. "Macroeconomic implications of changes in the term premium," Review, Federal Reserve Bank of St. Louis, vol. 89(Jul), pages 241-270.
    47. Edge, Rochelle M. & Kiley, Michael T. & Laforte, Jean-Philippe, 2008. "Natural rate measures in an estimated DSGE model of the U.S. economy," Journal of Economic Dynamics and Control, Elsevier, vol. 32(8), pages 2512-2535, August.
    48. Glenn D. Rudebusch, 2009. "The Fed's monetary policy response to the current crisis," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue may22.
    49. Stepahnie Schmitt-Grohé & Martín Uribe, 2007. "Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model," Central Banking, Analysis, and Economic Policies Book Series, in: Frederic S. Miskin & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Se (ed.),Monetary Policy under Inflation Targeting, edition 1, volume 11, chapter 5, pages 125-186, Central Bank of Chile.
    50. 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.
    51. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    52. repec:cbo:report:216707 is not listed on IDEAS
    53. Flint Brayton & Eileen Mauskopf & David L. Reifschneider & Peter A. Tinsley & John Williams, 1997. "The role of expectations in the FRB/US macroeconomic model," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), vol. 83(Apr), pages 227-245, April.
    54. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    55. Coenen, Guenter & Wieland, Volker, 2003. "The Zero-Interest-Rate and the Role of the Exchange Rate for Monetary Policy in Japan," CFS Working Paper Series 2003/09, Center for Financial Studies (CFS).
    56. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 2002. "Bayesian Analysis of Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 69-87, January.
    57. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(2 (Fall)), pages 215-287.
    58. John C. Williams, 2010. "Monetary policy in a low inflation economy with learning," Economic Review, Federal Reserve Bank of San Francisco, pages 1-12.
    59. James D. Hamilton & Jing Cynthia Wu, 2012. "The Effectiveness of Alternative Monetary Policy Tools in a Zero Lower Bound Environment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(s1), pages 3-46, February.
    60. Joseph E. Gagnon & Matthew Raskin & Julie Remache & Brian P. Sack, 2011. "Large-scale asset purchases by the Federal Reserve: did they work?," Economic Policy Review, Federal Reserve Bank of New York, vol. 17(May), pages 41-59.
    61. Reifschneider, David L. & Roberts, John M., 2006. "Expectations formation and the effectiveness of strategies for limiting the consequences of the zero bound," Journal of the Japanese and International Economies, Elsevier, vol. 20(3), pages 314-337, September.
    62. George A. Akerlof & William R. Dickens & George L. Perry, 1996. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1), pages 1-76.
    63. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    64. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    65. repec:cbo:report:216708 is not listed on IDEAS
    66. William Poole, 2005. "Understanding the term structure of interest rates," Review, Federal Reserve Bank of St. Louis, vol. 87(Sep), pages 589-596.
    67. Mr. Andre Meier, 2009. "Panacea, Curse, or Nonevent? Unconventional Monetary Policy in the United Kingdom," IMF Working Papers 2009/163, International Monetary Fund.
    68. Richard H. Clarida & Jeffrey Frankel & Francesco Giavazzi & Kenneth D. West, 2006. "NBER International Seminar on Macroeconomics 2004," NBER Books, National Bureau of Economic Research, Inc, number clar06-1, July.
    69. Congressional Budget Office, 2010. "The Budget and Economic Outlook: An Update," Reports 21670, Congressional Budget Office.
    70. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, July.
    71. Justin Weidner & John C. Williams, 2009. "How big is the output gap?," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue jun12.
    72. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(2 (Fall)), pages 215-287.
    73. Taeyoung Doh, 2010. "The efficacy of large-scale asset purchases at the zero lower bound," Economic Review, Federal Reserve Bank of Kansas City, vol. 95(Q II), pages 5-34.
    74. Hamilton, James D., 1986. "A standard error for the estimated state vector of a state-space model," Journal of Econometrics, Elsevier, vol. 33(3), pages 387-397, December.
    75. Roberto M. Billi & George A. Kahn, 2008. "What is the optimal inflation rate?," Economic Review, Federal Reserve Bank of Kansas City, vol. 93(Q II), pages 5-28.
    Full references (including those not matched with items on IDEAS)

    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. John C. Williams, 2009. "Heeding Daedalus: Optimal Inflation and the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(2 (Fall)), pages 1-49.
    2. Taylor, John B. & Williams, John C., 2010. "Simple and Robust Rules for Monetary Policy," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 15, pages 829-859, Elsevier.
    3. José Dorich & Nicholas Labelle St‐Pierre & Vadym Lepetyuk & Rhys R. Mendes, 2018. "Could a higher inflation target enhance macroeconomic stability?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(3), pages 1029-1055, August.
    4. Eric T. Swanson & John C. Williams, 2014. "Measuring the Effect of the Zero Lower Bound on Medium- and Longer-Term Interest Rates," American Economic Review, American Economic Association, vol. 104(10), pages 3154-3185, October.
    5. Bofinger, Peter & Schnabel, Isabel & Feld, Lars P. & Schmidt, Christoph M. & Wieland, Volker, 2014. "Mehr Vertrauen in Marktprozesse. Jahresgutachten 2014/15 [More confidence in market processes. Annual Report 2014/15]," Annual Economic Reports / Jahresgutachten, German Council of Economic Experts / Sachverständigenrat zur Begutachtung der gesamtwirtschaftlichen Entwicklung, volume 127, number 201415.
    6. Roberto M. Billi, 2011. "Optimal Inflation for the US Economy," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 29-52, July.
    7. Matteo Falagiarda, 2014. "Evaluating quantitative easing: a DSGE approach," International Journal of Monetary Economics and Finance, Inderscience Enterprises Ltd, vol. 7(4), pages 302-327.
    8. Hess Chung & Etienne Gagnon & Taisuke Nakata & Matthias Paustian & Bernd Schlusche & James Trevino & Diego Vilán & Wei Zheng, 2020. "Monetary Policy Options at the Effective Lower Bound: Assessing the Federal Reserve’s Current Policy Toolkit," CARF F-Series CARF-F-483, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    9. Michael T. Kiley, 2018. "Quantitative Easing and the ‘New Normal’ in Monetary Policy," Manchester School, University of Manchester, vol. 86(S1), pages 21-49, September.
    10. Martin Bodenstein & Christopher J. Erceg & Luca Guerrieri, 2017. "The effects of foreign shocks when interest rates are at zero," Canadian Journal of Economics, Canadian Economics Association, vol. 50(3), pages 660-684, August.
    11. Gomes, S. & Jacquinot, P. & Mestre, R. & Sousa, J., 2015. "Global policy at the zero lower bound in a large-scale DSGE model," Journal of International Money and Finance, Elsevier, vol. 50(C), pages 134-153.
    12. Guido Ascari & Argia M. Sbordone, 2014. "The Macroeconomics of Trend Inflation," Journal of Economic Literature, American Economic Association, vol. 52(3), pages 679-739, September.
    13. Eric T. Swanson & John C. Williams, 2013. "Measuring the Effect of the Zero Lower Bound on Yields and Exchange Rates in the U.K. and Germany," NBER Chapters, in: NBER International Seminar on Macroeconomics 2013, pages 2-21, National Bureau of Economic Research, Inc.
    14. Hess T. Chung & Etienne Gagnon & Taisuke Nakata & Matthias Paustian & Bernd Schlusche & James Trevino & Diego Vilán & Wei Zheng, 2019. "Monetary Policy Options at the Effective Lower Bound : Assessing the Federal Reserve's Current Policy Toolkit," Finance and Economics Discussion Series 2019-003, Board of Governors of the Federal Reserve System (U.S.).
    15. Schenkelberg, Heike & Watzka, Sebastian, 2013. "Real effects of quantitative easing at the zero lower bound: Structural VAR-based evidence from Japan," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 327-357.
    16. Sophocles N. Brissimis & Evangelia A. Georgiou, 2022. "The effects of Federal Reserve's quantitative easing and balance sheet normalization policies on long-term interest rates," Working Papers 299, Bank of Greece.
    17. Günter Coenen & Volker W. Wieland, 2004. "Exchange-Rate Policy and the Zero Bound on Nominal Interest Rates," American Economic Review, American Economic Association, vol. 94(2), pages 80-84, May.
    18. Matthieu Darracq Paries, 2018. "Financial frictions and monetary policy conduct," Erudite Ph.D Dissertations, Erudite, number ph18-01 edited by Ferhat Mihoubi, February.
    19. John C. Williams, 2020. "The Research–Policy Nexus: ZLB, JMCB, and FOMC," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 52(S2), pages 601-605, December.
    20. George Kapetanios & Haroon Mumtaz & Ibrahim Stevens & Konstantinos Theodoridis, 2012. "Assessing the Economy‐wide Effects of Quantitative Easing," Economic Journal, Royal Economic Society, vol. 122(564), pages 316-347, November.

    More about this item

    Keywords

    Inflation (Finance); Interest rates; Macroeconomics - Econometric models;
    All these keywords.

    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:fedfwp:2011-01. 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: Federal Reserve Bank of San Francisco Research Library (email available below). General contact details of provider: https://edirc.repec.org/data/frbsfus.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.