Home Business & Economics Charge-offs, Defaults and the Financial Accelerator
Article
Licensed
Unlicensed Requires Authentication

Charge-offs, Defaults and the Financial Accelerator

  • Christopher M. Gunn EMAIL logo , Alok Johri and Marc-André Letendre
Published/Copyright: August 4, 2022

Abstract

U.S. banks countercyclically vary the ratio of charge-offs to defaulted loans (COD) and the standard deviation of COD is roughly 15 times that of GDP. We show that canonical financial accelerator models cannot explain these facts, but introducing stochastic default costs and stochastic risk can potentially resolve the discrepancy. Estimating the augmented model and including both surprise and news shocks reveals that default cost news shocks account for most of the variance of COD. Also, in the many model specifications we work with, default cost news shocks always account for at least 20 percent of the variance of investment, while risk news shocks account for a significant portion of the variation in the credit spread, and around 10 percent of the variation in investment growth. Both news shocks also account for a material amount of the variance of hours and output growth.

JEL Classification: E3; E44

Corresponding author: Christopher M. Gunn, Department of Economics, Carleton University, 1125 Colonel By Dr., Ottawa K1S 5B6, ON, Canada, E-mail:

Funding source: Social Science and Humanities Research Council of Canada

Award Identifier / Grant number: 435-2016-0708

Award Identifier / Grant number: 435 2020 0567

Acknowledgments

The authors thank the referees and editor as well as conference and seminar participants at the 2018 CEA meetings, the 2017 SAET meetings and the 2016 CEF meetings. Gunn and Johri received research support from grants from the Social Sciences and Humanities Research Council (SSHRC) of Canada.

Appendix A: Data

  1. Real Gross Domestic Product, 3 Decimal, Billions of Chained 2009 Dollars, Quarterly, Seasonally Adjusted Annual Rate.

    Source: search on series code GDPC96 at https://fred.stlouisfed.org/

  2. Gross Domestic Product – Implicit Price Deflator - 1996=100, Seasonally Adjusted

    Source: search on series code GDPDEF at https://fred.stlouisfed.org/

  3. Personal Consumption Expenditures, Billions of Dollars, Seasonally Adjusted Annual Rate

    Source: search on series code PCEC at https://fred.stlouisfed.org/

  4. Fixed Private Investment, Billions of Dollars, Seasonally Adjusted Annual Rate

    Source: search on series code FPI at https://fred.stlouisfed.org/

  5. Civilian Employment: Sixteen Years and Over, Thousands, Seasonally Adjusted

    Source: search on series code CE16OV at https://fred.stlouisfed.org/

  6. Effective Federal Funds Rate

    Source: search on FEDFUNDS at https://fred.stlouisfed.org/

  7. Average Weekly Hours Duration, Nonfarm Business, All Persons, : index, 1992 = 100, Seasonally Adjusted

    Source: search on series code PRS85006023 at https://fred.stlouisfed.org/

  8. Hourly Compensation Duration, Nonfarm Business, All Persons, : index, 1992 = 100, Seasonally Adjusted.

    Source: Search series id PRS85006103 at U.S. Bureau of Labour Statistics, http://data.bls.gov/cgi-bin/srgate

  9. Labor Force Status: Civilian noninstitutional population – Age: 16 years and over – Seasonally Adjusted – Number in thousands.

    Source: Search series id LNS10000000 at U.S. Bureau of Labour Statistics, http://data.bls.gov/cgi-bin/srgate

  10. Credit Spread: Moody’s Seasoned Baa Corporate Bond Yield Relative to Yield on 10-Year Treasury Constant Maturity, Percent, Quarterly, Not Seasonally Adjusted.

    Source: search on series code BAA10YM at https://fred.stlouisfed.org/

  11. Charge-offs: Total charge-offs on Total Loans and Leases, All FDIC-Insured Institutions, Millions of Dollars,

    Source: Quarterly Loan Portfolio Performance Indicators

    https://www.fdic.gov/analysis/quarterly-banking-profile/index.html

  12. Defaults: Loans 90 days or more past due, All FDIC-Insured Institutions, Millions of Dollars,

    Source: Quarterly Loan Portfolio Performance Indicators

    https://www.fdic.gov/analysis/quarterly-banking-profile/index.html

  13. QUSPAMUSDA: Total Credit to Private Non-Financial Sector, Adjusted for Breaks, for United States. Source: search on series code QUSPAMUSDA at https://fred.stlouisfed.org/

Table A.1:

Comparison of alternative news specifications evaluated at the mode.

Specification Log data density
No news −2061.53
News 4pd and 8pd −2061.18
News 8pd and 12 pd −2054.45
News 4pd, 8pd and 12pd −2056.96
Table A.2:

Benchmark Model: priors and posteriors – Economic parameters.

Description Parameter Prior mean Posterior mode SD Prior distrib. Prior std dev.
Habit in consumption b 0.5 0.5520 0.0554 beta 0.1
Curvature, investment adjust cost s 4 7.5409 1.2399 norm 2
Curvature, utilization cost ϵ 0.5 0.7681 0.1024 beta 0.1
Monetary policy smoothing parameter ρ rn 0.75 0.9039 0.0086 beta 0.1
Monetary policy weight on inflation ϕ pi 1.5 1.9907 0.1860 gamm 0.25
Monetary policy weight on output ϕ y 0.25 0.6221 0.0825 gamm 0.05
Calvo price stickiness ζ p 0.66 0.9574 0.0064 beta 0.15
Calvo wage stickiness ζ w 0.66 0.9282 0.0127 beta 0.15
Price indexing weight on inflation ι p 0.5 0.2360 0.0684 beta 0.15
Price indexing weight on wage inflation ι w 0.5 0.6840 0.1387 beta 0.15
Steady state default cost θ 0.12 0.0986 0.0123 beta 0.1
Steady state default rate F ( ω ̄ ) 0.0076 0.0075 0.0011 gamm 0.001
Table A.3:

Benchmark Model: priors and posteriors – Shock parameters.

Description Parameter Prior mean Posterior mode SD Prior distrib. Prior std dev.
Autocorrelation of shocks
Stationary tech. process ρ z 0.5 0.9682 0.0671 beta 0.2
Non-stat tech. process ρ gy 0.5 0.3579 0.1139 beta 0.2
MEI process ρ mei 0.5 0.9658 0.0101 beta 0.2
Preference process ρ J 0.5 0.9600 0.0139 beta 0.2
Government spending process ρ g 0.5 0.9805 0.0183 beta 0.2
Price markup process ρ ν p 0.5 0.2070 0.0967 beta 0.2
Wage markup process ρ ν w 0.5 0.1417 0.0750 beta 0.2
Standard deviation of shocks
Stat. tech., unanticipated ϵ z 0.5 0.2447 0.0469 invg 1
Stat. tech., anticipated 8pd ϵ z 8 0.5 0.2067 0.0466 invg 1
Stat. tech., anticipated 12pd ϵ z 12 0.5 0.2231 0.0530 invg 1
N-S tech., unanticipated ϵ gy 0.5 0.2563 0.0511 invg 1
N-S tech., anticipated 8pd ϵ g y 8 0.5 0.1694 0.0356 invg 1
N-S tech., anticipated 12pd ϵ g y 12 0.5 0.1778 0.0405 invg 1
MEI, unanticipated ϵ m 0.5 2.3712 0.7222 invg 1
MEI, anticipated 8pd ϵ m 8 0.5 0.2343 0.1027 invg 1
MEI, anticipated 12pd ϵ m 12 0.5 1.3620 0.1032 invg 1
Preferences ϵ J 0.1 2.0174 0.2951 invg 1
Monetary policy, unanticipated ϵ η 0.1 0.0721 0.0089 invg 1
Monetary policy, anticipated 8pd ϵ η 8 0.1 0.0724 0.0095 invg 1
Monetary policy, anticipated 12pd ϵ η 12 0.1 0.0819 0.0122 invg 1
Gov’t spending, unanticipated ϵ g 0.5 2.5338 0.8333 invg 1
Gov’t spending, anticipated 8pd ϵ g 8 0.5 0.2555 0.8129 invg 1
Gov’t spending, anticipated 12pd ϵ g 12 0.5 0.2556 0.6963 invg 1
Price markup ϵ ν p 0.1 0.1150 0.0116 invg 1
Wage markup ϵ ν w 0.1 0.3749 0.0323 invg 1
Measurement error ϵ meas 0.5 47.512 2.3363 invg 2
Figure A.1: 
Default cost (θ
t
).
Figure A.1:

Default cost (θ t ).

Figure A.2: 
Risk 






σ


t


e




.

$\left({\sigma }_{t}^{e}\right).$
Figure A.2:

Risk σ t e .

References

Ajello, A. 2016. “Financial Intermediation, Investment Dynamics, and Business Cycle Fluctuations.” The American Economic Review 106: 2256–303. https://doi.org/10.1257/aer.20120079.Search in Google Scholar

An, S., and F. Schorfheide. 2007. “Bayesian Analysis of DSGE Models.” The American Economic Review 26: 113–72. https://doi.org/10.1080/07474930701220071.Search in Google Scholar

Aysun, U., and A. Honig. 2011. “Bankruptcy Costs, Liability Dollarization, and Vulnerability to Sudden Stops.” Journal of Development Economics 95: 201–11. https://doi.org/10.1016/j.jdeveco.2010.04.005.Search in Google Scholar

Bernanke, B. S., M. Gertler, and S. Gilchrist. 1999. “The Financial Accelerator in a Quantitative Business Cycle Framework.” In Handbook of Macroeconomics, Vol. 1, edited by J. B. Taylor, and M. Woodford, 1341–93. Amsterdam: Elsevier. Chapter 21.10.1016/S1574-0048(99)10034-XSearch in Google Scholar

Candian, G., and M. Dmitriev. 2020. “Default Recovery Rates and Aggregate Fluctuations.” Journal of Economic Dynamics and Control 121: 104011. https://doi.org/10.1016/j.jedc.2020.104011.Search in Google Scholar

Carlstrom, C. T., and T. S. Fuerst. 1997. “Agency Costs, Net Worth, and Business Fluctuations: A Computable General Equilibrium Analysis.” The American Economic Review 87: 893–910.10.26509/frbc-wp-199602Search in Google Scholar

Christiano, L. J., R. Motto, and M. Rostagno. 2003. “The Great Depression and the Friedman-Schwartz Hypothesis.” Proceedings: 1119–215, https://doi.org/10.1353/mcb.2004.0023. Also available at http://ideas.repec.org/a/fip/fedcpr/y2003p1119-1215.html.Search in Google Scholar

Christiano, L. J., R. Motto, and M. Rostagno. 2014. “Risk Shocks.” The American Economic Review 104: 27–65. https://doi.org/10.1257/aer.104.1.27.Search in Google Scholar

Cooper, R., and J. Ejarque. 2000. “Financial Intermediation and Aggregate Fluctuations: A Quantitative Analysis.” Macroeconomic Dynamics 4: 423–47. https://doi.org/10.1017/s1365100500017016.Search in Google Scholar

Curdia, V., and M. Woodford. 2009. Conventional and Unconventional Monetary Policy.10.2139/ssrn.1504864Search in Google Scholar

Fuentes-Albero, C. 2019. “Financial Frictions, Financial Shocks, and Aggregate Volatility.” Journal of Money, Credit, and Banking 51: 1581–621. https://doi.org/10.1111/jmcb.12554. Also available at https://ideas.repec.org/a/wly/jmoncb/v51y2019i6p1581-1621.html.Search in Google Scholar

Goodfriend, M., and B. T. McCallum. 2007. “Banking and Interest Rates in Monetary Policy Analysis: A Quantitative Exploration.” Journal of Monetary Economics 54: 1480–507. https://doi.org/10.1016/j.jmoneco.2007.06.009. Also available at https://ideas.repec.org/a/eee/moneco/v54y2007i5p1480-1507.html.Search in Google Scholar

Gunn, C. M. 2018. “Overaccumulation, Interest, and Prices.” Journal of Money, Credit, and Banking 50: 479–511. https://doi.org/10.1111/jmcb.12468. Also available at https://ideas.repec.org/a/wly/jmoncb/v50y2018i2-3p479-511.html.Search in Google Scholar

Gunn, C. M., and A. Johri. 2011. “News, Intermediation Efficiency and Expectations-Driven Boom-Bust Cycles.” In Department of Economics Working Papers. McMaster University.Search in Google Scholar

Gunn, C. M., and A. Johri. 2013. “An Expectations-Driven Interpretation of the “Great Recession”.” Journal of Monetary Economics 60: 391–407. https://doi.org/10.1016/j.jmoneco.2013.04.003.Search in Google Scholar

Justiniano, A., G. E. Primiceri, and A. Tambalotti. 2011. “Investment Shocks and the Relative Price of Investment.” Review of Economic Dynamics 14: 102–21. https://doi.org/10.1016/j.red.2010.08.004.Search in Google Scholar

Kiyotaki, N., and J. Moore. 2012. “Liquidity, Business Cycles, and Monetary Policy.” In Working Paper 17934. National Bureau of Economic Research.10.3386/w17934Search in Google Scholar

Levin, A. T., F. M. Natalucci, E. Zakrajsek, 2004. The Magnitude and Cyclical Behavior of Financial Market Frictions. Technical Report.10.2139/ssrn.655363Search in Google Scholar

Richard Higgins, C. 2020. “Financial Frictions and Changing Macroeconomic Volatility.” Journal of Macroeconomics 64. https://doi.org/10.1016/j.jmacro.2020.10310.1016/j.jmacro.2020.103204. Also available at https://ideas.repec.org/a/eee/jmacro/v64y2020ics0164070419302629.html.Search in Google Scholar

Schmitt-Grohe, S., and M. Uribe. 2007. “Optimal Inflation Stabilization in a Medium-Scale Macroeconomic Model.” In Monetary Policy under Inflation Targeting, p. 125–86.10.2139/ssrn.891011Search in Google Scholar

Smets, F., and R. Wouters. 2007. “Shocks and Frictions in Us Business Cycles: A Bayesian Dsge Approach.” The American Economic Review 97: 586–606. https://doi.org/10.1257/aer.97.3.586.Search in Google Scholar


Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/bejm-2021-0078).


Received: 2021-04-01
Revised: 2022-05-05
Accepted: 2022-06-12
Published Online: 2022-08-04

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 31.12.2025 from https://www.degruyterbrill.com/document/doi/10.1515/bejm-2021-0078/html
Scroll to top button