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q-Gaussian distributions of leverage returns, first stopping times, and default risk valuations

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  • Katz, Yuri A.
  • Tian, Li

Abstract

We study the probability distributions of daily leverage returns of 520 North American industrial companies that survive de-listing during the financial crisis, 2006–2012. We provide evidence that distributions of unbiased leverage returns of all individual firms belong to the class of q-Gaussian distributions with the Tsallis entropic parameter within the interval 1

Suggested Citation

  • Katz, Yuri A. & Tian, Li, 2013. "q-Gaussian distributions of leverage returns, first stopping times, and default risk valuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4989-4996.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:4989-4996
    DOI: 10.1016/j.physa.2013.06.035
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    References listed on IDEAS

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    1. Flannery, Mark J. & Nikolova, Stanislava (Stas) & Öztekin, Özde, 2012. "Leverage Expectations and Bond Credit Spreads," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(4), pages 689-714, August.
    2. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
    3. Shephard, Neil (ed.), 2005. "Stochastic Volatility: Selected Readings," OUP Catalogue, Oxford University Press, number 9780199257201.
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    Cited by:

    1. Marian Gidea & Yuri Katz, 2017. "Topological Data Analysis of Financial Time Series: Landscapes of Crashes," Papers 1703.04385, arXiv.org, revised Apr 2017.
    2. De Domenico, Federica & Livan, Giacomo & Montagna, Guido & Nicrosini, Oreste, 2023. "Modeling and simulation of financial returns under non-Gaussian distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    3. Federica De Domenico & Giacomo Livan & Guido Montagna & Oreste Nicrosini, 2023. "Modeling and Simulation of Financial Returns under Non-Gaussian Distributions," Papers 2302.02769, arXiv.org.
    4. Xu, Dan & Beck, Christian, 2016. "Transition from lognormal to χ2-superstatistics for financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 173-183.
    5. Zhang, Fode & Ng, Hon Keung Tony & Shi, Yimin, 2018. "On alternative q-Weibull and q-extreme value distributions: Properties and applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1171-1190.

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