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Cross-ownership as a structural explanation for rising correlations in crisis times

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  • Nils Bertschinger
  • Axel A. Araneda

Abstract

In this paper, we examine the interlinkages among firms through a financial network where cross-holdings on both equity and debt are allowed. We relate mathematically the correlation among equities with the unconditional correlation of the assets, the values of their business assets and the sensitivity of the network, particularly the $\Delta$-Greek. We noticed also this relation is independent of the Equities level. Besides, for the two-firms case, we analytically demonstrate that the equities correlation is always higher than the correlation of the assets; showing this issue by numerical illustrations. Finally, we study the relation between equity correlations and asset prices, where the model arrives to an increase in the former due to a fall in the assets.

Suggested Citation

  • Nils Bertschinger & Axel A. Araneda, 2021. "Cross-ownership as a structural explanation for rising correlations in crisis times," Papers 2112.04824, arXiv.org.
    • Handle: RePEc:arx:papers:2112.04824
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    References listed on IDEAS

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    1. Taimur Baig & Ilan Goldfajn, 1999. "Financial Market Contagion in the Asian Crisis," IMF Staff Papers, Palgrave Macmillan, vol. 46(2), pages 1-3.
    2. Fabio Caccioli & Paolo Barucca & Teruyoshi Kobayashi, 2018. "Network models of financial systemic risk: a review," Journal of Computational Social Science, Springer, vol. 1(1), pages 81-114, January.
    3. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    4. François Longin & Bruno Solnik, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, April.
    5. 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.
    6. Fabrizio Lillo & Rosario N. Mantegna, 2000. "Symmetry alteration of ensemble return distribution in crash and rally days of financial markets," Papers cond-mat/0002438, arXiv.org.
    7. Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
    8. Adams, Zeno & Füss, Roland & Glück, Thorsten, 2017. "Are correlations constant? Empirical and theoretical results on popular correlation models in finance," Journal of Banking & Finance, Elsevier, vol. 84(C), pages 9-24.
    9. Mark Broadie & Paul Glasserman, 1996. "Estimating Security Price Derivatives Using Simulation," Management Science, INFORMS, vol. 42(2), pages 269-285, February.
    10. De Bandt, Olivier & Hartmann, Philipp, 2000. "Systemic risk: A survey," Working Paper Series 35, European Central Bank.
    11. Anindya S. Chakrabarti & Lukáš Pichl & Taisei Kaizoji (ed.), 2019. "Network Theory and Agent-Based Modeling in Economics and Finance," Springer Books, Springer, number 978-981-13-8319-9, December.
    12. Michael Kalkbrener & Natalie Packham, 2015. "Correlation Under Stress In Normal Variance Mixture Models," Mathematical Finance, Wiley Blackwell, vol. 25(2), pages 426-456, April.
    13. HALKIN, Hubert, 1974. "Implicit functions and optimization problems without continuous differentiability of the data," LIDAM Reprints CORE 184, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. repec:onb:oenbwp:y::i:156:b:1 is not listed on IDEAS
    15. Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
    16. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    17. Pierre Cizeau & Marc Potters & Jean-Philippe Bouchaud, 2000. "Correlation structure of extreme stock returns," Science & Finance (CFM) working paper archive 0006034, Science & Finance, Capital Fund Management.
    18. V. Sasidevan & Nils Bertschinger, 2019. "Systemic Risk: Fire-Walling Financial Systems Using Network-Based Approaches," Papers 1912.05273, arXiv.org.
    19. Sabine Karl & Tom Fischer, 2014. "Cross-ownership as a structural explanation for over- and underestimation of default probability," Quantitative Finance, Taylor & Francis Journals, vol. 14(6), pages 1031-1046, June.
    20. Tom Fischer, 2014. "No-Arbitrage Pricing Under Systemic Risk: Accounting For Cross-Ownership," Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 97-124, January.
    21. Rodrigo Cifuentes & Hyun Song Shin & Gianluigi Ferrucci, 2005. "Liquidity Risk and Contagion," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 556-566, 04/05.
    22. Johannes Hain & Tom Fischer, 2015. "Valuation Algorithms for Structural Models of Financial Interconnectedness," Papers 1501.07402, arXiv.org.
    23. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    24. Matei Demetrescu & Dominik Wied, 2019. "Testing for constant correlation of filtered series under structural change," The Econometrics Journal, Royal Economic Society, vol. 22(1), pages 10-33.
    25. Albert S. Kyle & Wei Xiong, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, August.
    26. P. Cizeau & M. Potters & J-P. Bouchaud, 2001. "Correlation structure of extreme stock returns," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 217-222.
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