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Fundamentals, real-time uncertainty and CDS index spreads

Author

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  • Alena Audzeyeva

    (Keele University)

  • Xu Wang

    (University of Northampton)

Abstract

The high level of economic uncertainty linked to the pace of the recovery process can persist after a crisis and has implications for the market pricing of firms’ credit risk reflected in credit default swap (CDS) spreads. This paper examines the role of key proxies for the economic state and its real-time uncertainty in determining Northern American CDX index spreads. Focusing on the recovery period following the 2007–2009 global financial crisis, we find that measures of economic output, employment, inflation, and economic uncertainty, all significantly influence CDX spreads, beyond the impact of conventional determinants. Furthermore, our results provide evidence that the sensitivity of investment-grade and high-yield CDX differs across economic aspects. Moreover, our out-of-sample predictive analysis identifies indicators and uncertainty measures with significant predictive content for quarter-ahead CDX spreads. Taken together, our findings indicate that academic modelers and practitioners employing more accurate representations of the macroeconomy in CDS modeling and analysis can improve upon the models that rely solely on the typically employed economic output variables or on broad data aggregation.

Suggested Citation

  • Alena Audzeyeva & Xu Wang, 2023. "Fundamentals, real-time uncertainty and CDS index spreads," Review of Quantitative Finance and Accounting, Springer, vol. 61(1), pages 1-33, July.
  • Handle: RePEc:kap:rqfnac:v:61:y:2023:i:1:d:10.1007_s11156-023-01127-6
    DOI: 10.1007/s11156-023-01127-6
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    1. Soojin Jo & Rodrigo Sekkel, 2019. "Macroeconomic Uncertainty Through the Lens of Professional Forecasters," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 436-446, July.
    2. Jonas Dovern & Ulrich Fritsche & Jiri Slacalek, 2012. "Disagreement Among Forecasters in G7 Countries," The Review of Economics and Statistics, MIT Press, vol. 94(4), pages 1081-1096, November.
    3. Kiesel, F. & Kolaric, S. & Norden, L. & Schiereck, D., 2021. "To change or not to change? The CDS market response of firms on credit watch," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 125502, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Liuren Wu & Frank Xiaoling Zhang, 2008. "A No-Arbitrage Analysis of Macroeconomic Determinants of the Credit Spread Term Structure," Management Science, INFORMS, vol. 54(6), pages 1160-1175, June.
    5. Hans Dewachter & Leonardo Iania & Wolfgang Lemke & Marco Lyrio, 2019. "A macro–financial analysis of the corporate bond market," Empirical Economics, Springer, vol. 57(6), pages 1911-1933, December.
    6. Ang, Andrew & Bekaert, Geert & Wei, Min, 2007. "Do macro variables, asset markets, or surveys forecast inflation better?," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1163-1212, May.
    7. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Clara Vega, 2003. "Micro Effects of Macro Announcements: Real-Time Price Discovery in Foreign Exchange," American Economic Review, American Economic Association, vol. 93(1), pages 38-62, March.
    8. Refet S. Gürkaynak & Jonathan H. Wright, 2013. "Identification and Inference Using Event Studies," Manchester School, University of Manchester, vol. 81, pages 48-65, September.
    9. Diamond, Douglas W, 1991. "Monitoring and Reputation: The Choice between Bank Loans and Directly Placed Debt," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 689-721, August.
    10. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    11. Jeffery D Amato & Eli M Remolona, 2003. "The credit spread puzzle," BIS Quarterly Review, Bank for International Settlements, December.
    12. Edwin J. Elton & Martin J. Gruber & Deepak Agrawal & Christopher Mann, 2001. "Explaining the Rate Spread on Corporate Bonds," Journal of Finance, American Finance Association, vol. 56(1), pages 247-277, February.
    13. Annaert, Jan & De Ceuster, Marc & Van Roy, Patrick & Vespro, Cristina, 2013. "What determines Euro area bank CDS spreads?," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 444-461.
    14. Stijn Claessens & M Ayhan Kose, 2017. "Asset prices and macroeconomic outcomes: a survey," BIS Working Papers 676, Bank for International Settlements.
    15. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 23(Q III), pages 36-58.
    16. Tang, Dragon Yongjun & Yan, Hong, 2010. "Market conditions, default risk and credit spreads," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 743-753, April.
    17. Estrella, Arturo & Hardouvelis, Gikas A, 1991. "The Term Structure as a Predictor of Real Economic Activity," Journal of Finance, American Finance Association, vol. 46(2), pages 555-576, June.
    18. David E. Rapach & Jack K. Strauss & Guofu Zhou, 2010. "Out-of-Sample Equity Premium Prediction: Combination Forecasts and Links to the Real Economy," The Review of Financial Studies, Society for Financial Studies, vol. 23(2), pages 821-862, February.
    19. Nina Boyarchenko & Anna M. Costello & Or Shachar, 2020. "The Long and Short of It: The Post-Crisis Corporate CDS Market," Economic Policy Review, Federal Reserve Bank of New York, vol. 26(3), pages 1-49, June.
    20. 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.
    21. Narayan, Paresh Kumar & Sharma, Susan Sunila & Thuraisamy, Kannan Sivananthan, 2014. "An analysis of price discovery from panel data models of CDS and equity returns," Journal of Banking & Finance, Elsevier, vol. 41(C), pages 167-177.
    22. Korajczyk, Robert A. & Levy, Amnon, 2003. "Capital structure choice: macroeconomic conditions and financial constraints," Journal of Financial Economics, Elsevier, vol. 68(1), pages 75-109, April.
    23. Pierre Collin-Dufresn & Robert S. Goldstein & J. Spencer Martin, 2001. "The Determinants of Credit Spread Changes," Journal of Finance, American Finance Association, vol. 56(6), pages 2177-2207, December.
    24. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 631-653.
    25. Galil, Koresh & Shapir, Offer Moshe & Amiram, Dan & Ben-Zion, Uri, 2014. "The determinants of CDS spreads," Journal of Banking & Finance, Elsevier, vol. 41(C), pages 271-282.
    26. Paye, Bradley S., 2012. "‘Déjà vol’: Predictive regressions for aggregate stock market volatility using macroeconomic variables," Journal of Financial Economics, Elsevier, vol. 106(3), pages 527-546.
    27. Hui Chen, 2010. "Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure," Journal of Finance, American Finance Association, vol. 65(6), pages 2171-2212, December.
    28. Nicole Thorne Jenkins & Michael D. Kimbrough & Juan Wang, 2016. "The extent of informational efficiency in the credit default swap market: evidence from post-earnings announcement returns," Review of Quantitative Finance and Accounting, Springer, vol. 46(4), pages 725-761, May.
    29. Christoph Benkert, 2004. "Explaining credit default swap premia," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(1), pages 71-92, January.
    30. Pedro Pires & João Pedro Pereira & Luís Filipe Martins, 2015. "The Empirical Determinants of Credit Default Swap Spreads: a Quantile Regression Approach," European Financial Management, European Financial Management Association, vol. 21(3), pages 556-589, June.
    31. Clark, Todd E. & West, Kenneth D., 2007. "Approximately normal tests for equal predictive accuracy in nested models," Journal of Econometrics, Elsevier, vol. 138(1), pages 291-311, May.
    32. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-966, July.
    33. Douglas, Rohan & Berndt, Antje & Duffie, Darrell & Ferguson, Mark, 2017. "Corporate Credit Risk Premia," Research Papers repec:ecl:stabus:3617, Stanford University, Graduate School of Business.
    34. Maurizio Luisi & Jeffery D. Amato, 2006. "Macro factors in the term structure of credit spreads," BIS Working Papers 203, Bank for International Settlements.
    35. Shi, Yukun & Stasinakis, Charalampos & Xu, Yaofei & Yan, Cheng, 2022. "Market co-movement between credit default swap curves and option volatility surfaces," International Review of Financial Analysis, Elsevier, vol. 82(C).
    36. Diamond, Douglas W., 1993. "Seniority and maturity of debt contracts," Journal of Financial Economics, Elsevier, vol. 33(3), pages 341-368, June.
    37. Martin Oehmke & Adam Zawadowski, 2017. "The Anatomy of the CDS Market," The Review of Financial Studies, Society for Financial Studies, vol. 30(1), pages 80-119.
    38. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
    39. Ericsson, Jan & Jacobs, Kris & Oviedo, Rodolfo, 2009. "The Determinants of Credit Default Swap Premia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 109-132, February.
    40. Antje Berndt & Rohan Douglas & Darrell Duffie & Mark Ferguson, 2018. "Corporate Credit Risk Premia [Fallen angels and price pressure]," Review of Finance, European Finance Association, vol. 22(2), pages 419-454.
    41. Avino, Davide & Nneji, Ogonna, 2014. "Are CDS spreads predictable? An analysis of linear and non-linear forecasting models," International Review of Financial Analysis, Elsevier, vol. 34(C), pages 262-274.
    42. Victor Zarnowitz & Phillip Braun, 1993. "Twenty-two Years of the NBER-ASA Quarterly Economic Outlook Surveys: Aspects and Comparisons of Forecasting Performance," NBER Chapters, in: Business Cycles, Indicators, and Forecasting, pages 11-94, National Bureau of Economic Research, Inc.
    43. Christopher F Baum & Chi Wan, 2009. "Macroeconomic Uncertainty and Credit Default Swap Spreads," Boston College Working Papers in Economics 724, Boston College Department of Economics, revised 03 Mar 2010.
    44. Adam, Tim & Guettler, Andre, 2015. "Pitfalls and perils of financial innovation: The use of CDS by corporate bond funds," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 204-214.
    45. Gilbert, Thomas, 2011. "Information aggregation around macroeconomic announcements: Revisions matter," Journal of Financial Economics, Elsevier, vol. 101(1), pages 114-131, July.
    46. Datta, Sudip & Doan, Trang & Iskandar-Datta, Mai, 2019. "Policy uncertainty and the maturity structure of corporate debt," Journal of Financial Stability, Elsevier, vol. 44(C).
    47. Adina Popescu & Frank Rafael Smets, 2010. "Uncertainty, Risk-taking, and the Business Cycle in Germany," CESifo Economic Studies, CESifo Group, vol. 56(4), pages 596-626, December.
    48. Dragon Tang & Hong Yan, 2006. "Macroeconomic Conditions, Firm Characteristics, and Credit Spreads," Journal of Financial Services Research, Springer;Western Finance Association, vol. 29(3), pages 177-210, June.
    49. Irresberger, Felix & Weiß, Gregor N.F. & Gabrysch, Janet & Gabrysch, Sandra, 2018. "Liquidity tail risk and credit default swap spreads," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1137-1153.
    50. Longstaff, Francis A & Schwartz, Eduardo S, 1995. "A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
    51. Campello, Murillo & Graham, John R. & Harvey, Campbell R., 2010. "The real effects of financial constraints: Evidence from a financial crisis," Journal of Financial Economics, Elsevier, vol. 97(3), pages 470-487, September.
    52. Jun Yang, 2008. "Macroeconomic Determinants of the Term Structure of Corporate Spreads," Staff Working Papers 08-29, Bank of Canada.
    53. Sydney C. Ludvigson & Serena Ng, 2009. "Macro Factors in Bond Risk Premia," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5027-5067, December.
    54. Breitenfellner, Bastian & Wagner, Niklas, 2012. "Explaining aggregate credit default swap spreads," International Review of Financial Analysis, Elsevier, vol. 22(C), pages 18-29.
    55. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    56. R. David Mclean & Mengxin Zhao, 2014. "The Business Cycle, Investor Sentiment, and Costly External Finance," Journal of Finance, American Finance Association, vol. 69(3), pages 1377-1409, June.
    57. Gilbert, Thomas & Scotti, Chiara & Strasser, Georg & Vega, Clara, 2017. "Is the intrinsic value of a macroeconomic news announcement related to its asset price impact?," Journal of Monetary Economics, Elsevier, vol. 92(C), pages 78-95.
    58. Alexander David, 2008. "Inflation Uncertainty, Asset Valuations, and the Credit Spreads Puzzle," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2487-2534, November.
    59. Anderson, Ronald W & Sundaresan, Suresh, 1996. "Design and Valuation of Debt Contracts," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 37-68.
    60. David Lando, 2020. "Credit Default Swaps: A Primer and Some Recent Trends," Annual Review of Financial Economics, Annual Reviews, vol. 12(1), pages 177-192, December.
    61. Kiesel, Florian & Kolaric, Sascha & Schiereck, Dirk, 2016. "Market integration and efficiency of CDS and equity markets," The Quarterly Review of Economics and Finance, Elsevier, vol. 61(C), pages 209-229.
    62. Daniel Nadler & Anatoly B. Schmidt, 2016. "Impact of Macroeconomic Announcements on US Equity Prices: 2009–2013," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 35(1), pages 34-42, January.
    63. Alexander, Carol & Kaeck, Andreas, 2008. "Regime dependent determinants of credit default swap spreads," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1008-1021, June.
    64. Yfanti, Stavroula & Karanasos, Menelaos & Zopounidis, Constantin & Christopoulos, Apostolos, 2023. "Corporate credit risk counter-cyclical interdependence: A systematic analysis of cross-border and cross-sector correlation dynamics," European Journal of Operational Research, Elsevier, vol. 304(2), pages 813-831.
    65. Tong Suk Kim & Jae Won Park & Yuen Jung Park, 2017. "Macroeconomic Conditions and Credit Default Swap Spread Changes," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(8), pages 766-802, August.
    66. Alexander David & Pietro Veronesi, 2013. "What Ties Return Volatilities to Price Valuations and Fundamentals?," Journal of Political Economy, University of Chicago Press, vol. 121(4), pages 682-746.
    67. Kiesel, F. & Kolaric, S. & Schiereck, D., 2016. "Market integration and efficiency of CDS and equity markets," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 77819, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    68. Kiesel, Florian & Kolaric, Sascha & Norden, Lars & Schiereck, Dirk, 2021. "To change or not to change? The CDS market response of firms on credit watch," Journal of Banking & Finance, Elsevier, vol. 125(C).
    69. Liu, Ya & Qiu, Buhui & Wang, Teng, 2021. "Debt rollover risk, credit default swap spread and stock returns: Evidence from the COVID-19 crisis," Journal of Financial Stability, Elsevier, vol. 53(C).
    70. Wisniewski, Tomasz Piotr & Lambe, Brendan John, 2015. "Does economic policy uncertainty drive CDS spreads?," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 447-458.
    71. Zhou, Chunsheng, 2001. "The term structure of credit spreads with jump risk," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2015-2040, November.
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    More about this item

    Keywords

    CDS index; Credit spreads; Macroeconomic fundamentals; Macroeconomic uncertainty; Economist survey nowcasts; Credit spread forecasting;
    All these keywords.

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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