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Analysis of log-periodic power law singularity patterns in time series related to credit risk

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Abstract

The log-periodic (super-exponential) power law singularity (LPPLS) has become a promising tool for predicting extreme behavior of self-organizing systems in natural sciences and finance. Some researchers have recently proposed to employ the LPPLS on credit risk markets. The review article at hand summarizes four papers in this field and shows how they are linked. After structuring the research questions, we collect the corresponding answers from the four articles. This eventually gives us an overall picture of the application of the LPPLS to credit risk data. Our literature review begins with grounding the view that credit default swap (CDS) spreads are hotbeds for LPPLS patterns and it ends up with drawing attention to the recently proposed alarm index for the prediction of institutional bank runs. By presenting a new field of application for the LPPLS, the reviewed strand of literature further substantiates the LPPLS hypothesis. Moreover, the results suggest that CDS spread trajectories belong to a different universality class than, for instance, stock prices.

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References

  1. M. Hasan, The US should let its credit rating be downgraded – and shrug, The Guardian, 5 August 2011

  2. Deutsche Vereinigung für Finanzanalyse und Asset Management, DVFA-Finanzschriften 6, 1 (2006)

  3. J.H. Wosnitza, C. Denz, Physica A 392, 3666 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  4. Securities Industry and Financial Markets Association, US Bond Market Outstanding (2014), http://www.sifma.org/research/statistics.aspx

  5. Basel Committee on Banking Supervision, International convergence of capital measurement and capital standards (Bank for International Settlements, Basel, 2004), http://www.bis.org/publ/bcbs107.pdf

  6. Standard and Poor’s, Credit ratings definitions & FAQs (2013), http://www.standardandpoors.com/ratings/definitions-and-faqs/en/us

  7. Bank for International Settlements, Statistical release: OTC derivatives statistics at end-June 2014 (2014), http://www.bis.org/publ/otc_hy1411.pdf

  8. M. Kraemer, S&P’s ratings are not “self-fulfilling prophecies” (2012), http://static.ow.ly/docs/2012-08-27 %20SP’s%20Ratings%20Are%20Not%20Self-Fulfilling %20PropheciesM86.pdf

  9. Moody’s Investor Service, European Union transparency report (2010), https://www.moodys.com/PublishingImages/MCO/EUTransparencyReport2010.pdf

  10. D. Sornette, Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization, and Disorder: Concepts and Tools, 1st edn. (Springer, Berlin, 2000)

  11. J.-C. Anifrani, C.L. Floc’h, D. Sornette, B. Souillard, J. Phys. I 5, 631 (1995)

    Google Scholar 

  12. A. Johansen, D. Sornette, H. Wakita, U. Tsunogai, W.I. Newman, H. Saleur, J. Phys. I 6, 1391 (1996)

    Google Scholar 

  13. D. Sornette, C.G. Sammis, J. Phys. I 5, 607 (1995)

    Google Scholar 

  14. J.A. Feigenbaum, P.G.O. Freund, Int. J. Mod. Phys. B 10, 3737 (1996)

    Article  ADS  MATH  Google Scholar 

  15. D. Sornette, A. Johansen, J.P. Bouchaud, J. Phys. I 6, 167 (1996)

    Google Scholar 

  16. J.A. Feigenbaum, Quant. Finance 1, 346 (2001)

    Article  MathSciNet  Google Scholar 

  17. Z.Q. Jiang, W.X. Zhou, D. Sornette, R. Woodard, K. Bastiaensen, P. Cauwels, J. Econ. Behav. Organ. 74, 149 (2010)

    Article  Google Scholar 

  18. A. Johansen, D. Sornette, Eur. Phys. J. B 17, 319 (2000)

    Article  ADS  Google Scholar 

  19. A. Johansen, D. Sornette, O. Ledoit, J. Risk 1, 5 (1999)

    Google Scholar 

  20. D. Sornette, A. Johansen, Physica A 245, 411 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  21. W.X. Zhou, D. Sornette, Int. J. Mod. Phys. C 14, 1107 (2003)

    Article  ADS  MATH  Google Scholar 

  22. W.X. Zhou, D. Sornette, Physica A 388, 869 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  23. S. Drozdz, F. Ruf, J. Speth, M. Wojcik, Eur. Phys. J. B 10, 589 (1999)

    Article  ADS  Google Scholar 

  24. P. Oswiecimka, S. Drozdz, J. Kwapien, A.Z. Gorski, Acta Physica Polonica A 117, 637 (2010)

    Google Scholar 

  25. S. Drozdz, J. Kwapien, P. Oswiecimka, Acta Physica Polonica A 114, 699 (2008)

    ADS  Google Scholar 

  26. S. Drozdz, J. Kwapien, J.S.P. Oswiecimka, Current log-periodic view on future world market development, Acta Physica Polonica A 114, 539 (2008)

    ADS  Google Scholar 

  27. D. Sornette, R. Woodard, W.X. Zhou, arXiv.org/abs/ 0806.1170 (2008)

  28. D. Sornette, R. Woodard, W.X. Zhou, Physica A 388, 1571 (2009)

    Article  ADS  Google Scholar 

  29. A. Clark, Physica A 338, 585 (2004)

    Article  ADS  Google Scholar 

  30. J. Kwapien, S. Drozdz, Phys. Rep. 515, 115 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  31. K. Bastiaensen, P. Cauwels, A. Younis, Modelling Flash, Fortis Bank (2009)

  32. D. Sornette, Int. J. Terraspace Sci. Eng. 2, 1 (2009)

    Google Scholar 

  33. D. Sornette, R. Woodard, Search for bubble behavior in credit default swaps, German bond futures and spread sovereign funds, http://www.er.ethz.ch/fco/CDS (2009)

  34. D. Ardila, P. Cauwels, D. Sanadgol, D. Sornette, Swiss Real Estate J. 6, 38 (2013)

    Google Scholar 

  35. D. Ardila, D. Sanadgol, P. Cauwels, D. Sornette, Identification and critical time forecasting of real estate bubbles in the USA and Switzerland (2014), http://ssrn.com/abstract=2465000

  36. W.X. Zhou, D. Sornette, Physica A 329, 249 (2003)

    Article  ADS  MATH  Google Scholar 

  37. W.X. Zhou, D. Sornette, Physica A 361, 297 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  38. D. Sornette, Why Stock Markets Crash: Critical Events in Complex Financial Systems (Princeton University Press, Princeton, 2004)

  39. A. Johansen, D. Sornette, Int. J. Mod. Phys. C 10, 563 (1999)

    Article  ADS  Google Scholar 

  40. D. Sornette, W.X. Zhou, Quant. Finance 2, 468 (2002)

    Google Scholar 

  41. D. Sornette, W.X. Zhou, Quant. Finance 3, C39 (2003)

    Article  Google Scholar 

  42. W. Yan, R. Woodard, D. Sornette, Physica A 391, 1361 (2012)

    Article  ADS  Google Scholar 

  43. W.X. Zhou, D. Sornette, Physica A 348, 428 (2005)

    Article  ADS  Google Scholar 

  44. D. Sornette, W.X. Zhou, Int. J. Forecasting 22, 153 (2006)

    Article  Google Scholar 

  45. W. Yan, R. Rebib, R. Woodard, D. Sornette, Int. J. Portfolio Anal. Manag. 1, 59 (2012)

    Article  Google Scholar 

  46. W. Yan, R. Woodard, D. Sornette, Phys. Procedia 3, 1641 (2010)

    Article  ADS  Google Scholar 

  47. Y. Huang, A. Johansen, M.W. Lee, H. Saleur, D. Sornette, J. Geophys. Res. 105, 451 (2000)

    Google Scholar 

  48. G. Chang, J. Feigenbaum, Quant. Finance 8, 723 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  49. H.C. von Bothmer, C. Meister, Physica A 320, 539 (2003)

    Article  ADS  MATH  Google Scholar 

  50. A. Johansen, O. Ledoit, D. Sornette, Int. J. Theor. Appl. Finance 3, 219 (2000)

    MATH  Google Scholar 

  51. W.X. Zhou, D. Sornette, Physica A 387, 243 (2008)

    Article  ADS  Google Scholar 

  52. K. Ide, D. Sornette, Physica A 307, 63 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  53. V. Filimonov, D. Sornette, Physica A 392, 3698 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  54. E. Vakhtina, J.H. Wosnitza, Physica A 417, 304 (2015)

    Article  ADS  Google Scholar 

  55. J.H. Wosnitza, J. Leker, Physica A 401, 228 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  56. J.H. Wosnitza, J. Leker, Physica A 393, 427 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  57. P. Sieczka, J.A. Hołyst, Eur. Phys. J. B 71, 461 (2009)

    Article  ADS  Google Scholar 

  58. P. Sieczka, D. Sornette, J. Hołyst, Eur. Phys. J. B 82, 257 (2011)

    Article  ADS  Google Scholar 

  59. D. Sornette, Phys. Rep. 297, 239 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  60. S.H. Strogatz, Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering (Westview Press, Cambridge, 2008)

  61. N. Vandewalle, P. Boveroux, A. Minguet, M. Ausloos, Physica A 255, 201 (1998)

    Article  ADS  Google Scholar 

  62. N. Vandewalle, M. Ausloos, P. Boveroux, A. Minguet, Eur. Phys. J. B 4, 139 (1998)

    Article  ADS  Google Scholar 

  63. A. Johansen, D. Sornette, Eur. Phys. J. B 9, 167 (1999)

    Article  ADS  Google Scholar 

  64. H. Saleur, D. Sornette, J. Phys. I 6, 327 (1996)

    Google Scholar 

  65. M. Bartolozzi, S. Drozdz, D.B. Leinweber, J. Speth, A.W. Thomas, Int. J. Mod. Phys. C 16, 1347 (2005)

    Article  ADS  Google Scholar 

  66. S. Drozdz, F. Grümmer, F. Ruf, J. Speth, Physica A 324, 174 (2003)

    Article  ADS  MATH  Google Scholar 

  67. A. Johansen, D. Sornette, Brussels Econ. Rev. 53, 201 (2010)

    Google Scholar 

  68. International Monetary Fund, Financial derivatives (2014), http://www.imf.org/external/np/sta/fd/

  69. A. Johansen, D. Sornette, Int. J. Mod. Phys. C 11, 359 (2000)

    ADS  Google Scholar 

  70. Basel Committee on Banking Supervision, Credit ratings and complementary sources of credit quality information, http://www.bis.org/publ/bcbs72a.pdf (2000)

  71. Thomson Reuters, Datastream/Bond indices & CDS (2010)

  72. J. Speth, S. Drozdz, F. Grümmer, Nucl. Phys. A 844, 30c (2010)

    Article  ADS  Google Scholar 

  73. S. Gluzman, D. Sornette, Phys. Rev. E 65, 036142 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  74. D. Sornette, A. Johansen, Quant. Finance 1, 452 (2001)

    Article  Google Scholar 

  75. L. Lin, R.E. Ren, D. Sornette, Int. Rev. Finance Anal. 33, 210 (2014)

    Article  Google Scholar 

  76. W.X. Zhou, D. Sornette, Physica A 360, 459 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  77. C.W.J. Granger, P. Newbold, J. Econ. 2, 111 (1974)

    Article  MATH  Google Scholar 

  78. S. Siegert, R. Friedrich, J. Peinke, Phys. Lett. A 243, 275 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  79. T. Lüdecke, Informationssysteme in der Finanzwirtschaft (Springer, 1998), pp. 299–308

  80. R.C. Merton, J. Finance 229, 449 (1974)

    Google Scholar 

  81. I. Simorangkir, Study on early warning indicators of bank runs in Indonesia: a Markov-switching approach (2012), http://ecomod.net/system/files/Early_Warning_Paper_Final.pdf

  82. D.W. Diamond, P.H. Dybvig, J. Political Econ. 91, 401 (1983)

    Article  Google Scholar 

  83. B. Gonzalez-Hermosillo, Determinants of ex-ante banking system distress: a macro-micro empirical exploration of some recent episodes, IMF Working Paper WP/99/33 (1999)

  84. G. Gorton, A. Metrick, J. Finance Econ. 104, 425 (2012)

    Article  Google Scholar 

  85. P. Mehrling, The new Lombard Street: how the Fed became the dealer of last resort (Princeton University Press, Princeton, 2010)

  86. D. Sornette, A.B. Davis, K. Ide, K.R. Vixie, V. Pisarenko, J.R. Kamm, Proc. Natl. Acad. Sci. USA 104, 6562 (2007)

    Article  ADS  Google Scholar 

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Correspondence to Jan Henrik Wosnitza.

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Wosnitza, J., Sornette, D. Analysis of log-periodic power law singularity patterns in time series related to credit risk. Eur. Phys. J. B 88, 97 (2015). https://doi.org/10.1140/epjb/e2015-50019-9

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