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Super-Exponential Growth Expectations and the Global Financial Crisis

Author

Listed:
  • Matthias LEISS

    (ETH Zurich)

  • Heinrich H. NAX

    (ETH Zurich)

  • Didier SORNETTE

    (ETH Zurich and Swiss Finance Institute)

Abstract
We construct risk-neutral return probability distributions from S&P 500 options data over the decade 2003 to 2013, separable into pre-crisis, crisis and post-crisis regimes. The pre-crisis period is characterized by increasing realized and, especially, option-implied returns. This translates into transient unsustainable price growth that may be identified as a bubble. We evaluate a "real-minus-implied risk premium", defined as the difference between real and option-implied returns, which reveals a doubling of the risk-aversion of investors, from 8% in the pre-crisis to 16% in the post-crisis period. Granger causality tests demonstrate that changes of option-implied returns lead the changes of Treasury bill yields with a lag of a few days in the pre-crisis period, while the reverse is true with a lag of 50 to 200 days in the post-crisis period. This suggests a transition from an abnormal regime preceding the crisis to a "new normal" post-crisis.

Suggested Citation

  • Matthias LEISS & Heinrich H. NAX & Didier SORNETTE, 2014. "Super-Exponential Growth Expectations and the Global Financial Crisis," Swiss Finance Institute Research Paper Series 14-52, Swiss Finance Institute, revised Sep 2015.
  • Handle: RePEc:chf:rpseri:rp1452
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    File URL: http://ssrn.com/abstract=2477396
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    Citations

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    Cited by:

    1. Qun Zhang & Qunzhi Zhang & Didier Sornette, 2016. "Early Warning Signals of Financial Crises with Multi-Scale Quantile Regressions of Log-Periodic Power Law Singularities," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-43, November.
    2. Zhang, Qunzhi & Sornette, Didier & Balcilar, Mehmet & Gupta, Rangan & Ozdemir, Zeynel Abidin & Yetkiner, Hakan, 2016. "LPPLS bubble indicators over two centuries of the S&P 500 index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 126-139.
    3. Ardila-Alvarez, Diego & Forro, Zalan & Sornette, Didier, 2021. "The acceleration effect and Gamma factor in asset pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    4. Li Lin & Didier Sornette, 2015. ""Speculative Influence Network" during financial bubbles: application to Chinese Stock Markets," Papers 1510.08162, arXiv.org.
    5. Jerome L Kreuser & Didier Sornette, 2017. "Super-Exponential RE Bubble Model with Efficient Crashes," Swiss Finance Institute Research Paper Series 17-33, Swiss Finance Institute.
    6. Li Lin & Didier Sornette, 2018. "“Speculative Influence Network” during financial bubbles: application to Chinese stock markets," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(2), pages 385-431, July.
    7. Damian Smug & Peter Ashwin & Didier Sornette, 2018. "Predicting financial market crashes using ghost singularities," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-20, March.
    8. Leiss, Matthias & Nax, Heinrich H., 2018. "Option-implied objective measures of market risk," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 241-249.
    9. L. Lin & M. Schatz & D. Sornette, 2019. "A simple mechanism for financial bubbles: time-varying momentum horizon," Quantitative Finance, Taylor & Francis Journals, vol. 19(6), pages 937-959, June.
    10. Pascal Frank & Markus Rudolf, 2024. "Is the Metaverse Dead? Insights from Financial Bubble Analysis," FinTech, MDPI, vol. 3(2), pages 1-22, May.
    11. Hartwell, Christopher A., 2018. "The impact of institutional volatility on financial volatility in transition economies," Journal of Comparative Economics, Elsevier, vol. 46(2), pages 598-615.
    12. Samet Gunay & Gokberk Can, 2022. "The source of financial contagion and spillovers: An evaluation of the covid-19 pandemic and the global financial crisis," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-20, January.
    13. Anand, Abhinav & Li, Tiantian & Kurosaki, Tetsuo & Kim, Young Shin, 2016. "Foster–Hart optimal portfolios," Journal of Banking & Finance, Elsevier, vol. 68(C), pages 117-130.
    14. Li Lin & Didier Sornette, 2016. "A Simple Mechanism for Financial Bubbles: Time-Varying Momentum Horizon," Swiss Finance Institute Research Paper Series 16-61, Swiss Finance Institute.

    More about this item

    Keywords

    option-implied returns; super-exponential growth; expectations; financial bubble; financial crisis; real-minus-implied risk premium; Granger causality;
    All these keywords.

    JEL classification:

    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • G01 - Financial Economics - - General - - - Financial Crises
    • 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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