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
M. Hasan, The US should let its credit rating be downgraded – and shrug, The Guardian, 5 August 2011
Deutsche Vereinigung für Finanzanalyse und Asset Management, DVFA-Finanzschriften 6, 1 (2006)
J.H. Wosnitza, C. Denz, Physica A 392, 3666 (2013)
Securities Industry and Financial Markets Association, US Bond Market Outstanding (2014), http://www.sifma.org/research/statistics.aspx
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
Standard and Poor’s, Credit ratings definitions & FAQs (2013), http://www.standardandpoors.com/ratings/definitions-and-faqs/en/us
Bank for International Settlements, Statistical release: OTC derivatives statistics at end-June 2014 (2014), http://www.bis.org/publ/otc_hy1411.pdf
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
Moody’s Investor Service, European Union transparency report (2010), https://www.moodys.com/PublishingImages/MCO/EUTransparencyReport2010.pdf
D. Sornette, Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization, and Disorder: Concepts and Tools, 1st edn. (Springer, Berlin, 2000)
J.-C. Anifrani, C.L. Floc’h, D. Sornette, B. Souillard, J. Phys. I 5, 631 (1995)
A. Johansen, D. Sornette, H. Wakita, U. Tsunogai, W.I. Newman, H. Saleur, J. Phys. I 6, 1391 (1996)
D. Sornette, C.G. Sammis, J. Phys. I 5, 607 (1995)
J.A. Feigenbaum, P.G.O. Freund, Int. J. Mod. Phys. B 10, 3737 (1996)
D. Sornette, A. Johansen, J.P. Bouchaud, J. Phys. I 6, 167 (1996)
J.A. Feigenbaum, Quant. Finance 1, 346 (2001)
Z.Q. Jiang, W.X. Zhou, D. Sornette, R. Woodard, K. Bastiaensen, P. Cauwels, J. Econ. Behav. Organ. 74, 149 (2010)
A. Johansen, D. Sornette, Eur. Phys. J. B 17, 319 (2000)
A. Johansen, D. Sornette, O. Ledoit, J. Risk 1, 5 (1999)
D. Sornette, A. Johansen, Physica A 245, 411 (1997)
W.X. Zhou, D. Sornette, Int. J. Mod. Phys. C 14, 1107 (2003)
W.X. Zhou, D. Sornette, Physica A 388, 869 (2009)
S. Drozdz, F. Ruf, J. Speth, M. Wojcik, Eur. Phys. J. B 10, 589 (1999)
P. Oswiecimka, S. Drozdz, J. Kwapien, A.Z. Gorski, Acta Physica Polonica A 117, 637 (2010)
S. Drozdz, J. Kwapien, P. Oswiecimka, Acta Physica Polonica A 114, 699 (2008)
S. Drozdz, J. Kwapien, J.S.P. Oswiecimka, Current log-periodic view on future world market development, Acta Physica Polonica A 114, 539 (2008)
D. Sornette, R. Woodard, W.X. Zhou, arXiv.org/abs/ 0806.1170 (2008)
D. Sornette, R. Woodard, W.X. Zhou, Physica A 388, 1571 (2009)
A. Clark, Physica A 338, 585 (2004)
J. Kwapien, S. Drozdz, Phys. Rep. 515, 115 (2012)
K. Bastiaensen, P. Cauwels, A. Younis, Modelling Flash, Fortis Bank (2009)
D. Sornette, Int. J. Terraspace Sci. Eng. 2, 1 (2009)
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)
D. Ardila, P. Cauwels, D. Sanadgol, D. Sornette, Swiss Real Estate J. 6, 38 (2013)
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
W.X. Zhou, D. Sornette, Physica A 329, 249 (2003)
W.X. Zhou, D. Sornette, Physica A 361, 297 (2006)
D. Sornette, Why Stock Markets Crash: Critical Events in Complex Financial Systems (Princeton University Press, Princeton, 2004)
A. Johansen, D. Sornette, Int. J. Mod. Phys. C 10, 563 (1999)
D. Sornette, W.X. Zhou, Quant. Finance 2, 468 (2002)
D. Sornette, W.X. Zhou, Quant. Finance 3, C39 (2003)
W. Yan, R. Woodard, D. Sornette, Physica A 391, 1361 (2012)
W.X. Zhou, D. Sornette, Physica A 348, 428 (2005)
D. Sornette, W.X. Zhou, Int. J. Forecasting 22, 153 (2006)
W. Yan, R. Rebib, R. Woodard, D. Sornette, Int. J. Portfolio Anal. Manag. 1, 59 (2012)
W. Yan, R. Woodard, D. Sornette, Phys. Procedia 3, 1641 (2010)
Y. Huang, A. Johansen, M.W. Lee, H. Saleur, D. Sornette, J. Geophys. Res. 105, 451 (2000)
G. Chang, J. Feigenbaum, Quant. Finance 8, 723 (2008)
H.C. von Bothmer, C. Meister, Physica A 320, 539 (2003)
A. Johansen, O. Ledoit, D. Sornette, Int. J. Theor. Appl. Finance 3, 219 (2000)
W.X. Zhou, D. Sornette, Physica A 387, 243 (2008)
K. Ide, D. Sornette, Physica A 307, 63 (2002)
V. Filimonov, D. Sornette, Physica A 392, 3698 (2013)
E. Vakhtina, J.H. Wosnitza, Physica A 417, 304 (2015)
J.H. Wosnitza, J. Leker, Physica A 401, 228 (2014)
J.H. Wosnitza, J. Leker, Physica A 393, 427 (2014)
P. Sieczka, J.A. Hołyst, Eur. Phys. J. B 71, 461 (2009)
P. Sieczka, D. Sornette, J. Hołyst, Eur. Phys. J. B 82, 257 (2011)
D. Sornette, Phys. Rep. 297, 239 (1998)
S.H. Strogatz, Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering (Westview Press, Cambridge, 2008)
N. Vandewalle, P. Boveroux, A. Minguet, M. Ausloos, Physica A 255, 201 (1998)
N. Vandewalle, M. Ausloos, P. Boveroux, A. Minguet, Eur. Phys. J. B 4, 139 (1998)
A. Johansen, D. Sornette, Eur. Phys. J. B 9, 167 (1999)
H. Saleur, D. Sornette, J. Phys. I 6, 327 (1996)
M. Bartolozzi, S. Drozdz, D.B. Leinweber, J. Speth, A.W. Thomas, Int. J. Mod. Phys. C 16, 1347 (2005)
S. Drozdz, F. Grümmer, F. Ruf, J. Speth, Physica A 324, 174 (2003)
A. Johansen, D. Sornette, Brussels Econ. Rev. 53, 201 (2010)
International Monetary Fund, Financial derivatives (2014), http://www.imf.org/external/np/sta/fd/
A. Johansen, D. Sornette, Int. J. Mod. Phys. C 11, 359 (2000)
Basel Committee on Banking Supervision, Credit ratings and complementary sources of credit quality information, http://www.bis.org/publ/bcbs72a.pdf (2000)
Thomson Reuters, Datastream/Bond indices & CDS (2010)
J. Speth, S. Drozdz, F. Grümmer, Nucl. Phys. A 844, 30c (2010)
S. Gluzman, D. Sornette, Phys. Rev. E 65, 036142 (2002)
D. Sornette, A. Johansen, Quant. Finance 1, 452 (2001)
L. Lin, R.E. Ren, D. Sornette, Int. Rev. Finance Anal. 33, 210 (2014)
W.X. Zhou, D. Sornette, Physica A 360, 459 (2006)
C.W.J. Granger, P. Newbold, J. Econ. 2, 111 (1974)
S. Siegert, R. Friedrich, J. Peinke, Phys. Lett. A 243, 275 (1998)
T. Lüdecke, Informationssysteme in der Finanzwirtschaft (Springer, 1998), pp. 299–308
R.C. Merton, J. Finance 229, 449 (1974)
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
D.W. Diamond, P.H. Dybvig, J. Political Econ. 91, 401 (1983)
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)
G. Gorton, A. Metrick, J. Finance Econ. 104, 425 (2012)
P. Mehrling, The new Lombard Street: how the Fed became the dealer of last resort (Princeton University Press, Princeton, 2010)
D. Sornette, A.B. Davis, K. Ide, K.R. Vixie, V. Pisarenko, J.R. Kamm, Proc. Natl. Acad. Sci. USA 104, 6562 (2007)
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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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DOI: https://doi.org/10.1140/epjb/e2015-50019-9