IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2501.19260.html
   My bibliography  Save this paper

Financial instability transition under heterogeneous investments and portfolio diversification

Author

Listed:
  • Preben Forer
  • Barak Budnick
  • Pierpaolo Vivo
  • Sabrina Aufiero
  • Silvia Bartolucci
  • Fabio Caccioli

Abstract

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical model driven by portfolio rebalancing. While heterogeneity generally correlates with heightened volatility, increasing diversification may have a stabilizing or destabilizing effect depending on the connectivity level of the network. The stability/instability transition is dictated by the largest eigenvalue of the random matrix governing the time evolution of the endogenous components of the returns, for which different approximation schemes are proposed and tested against numerical diagonalization.

Suggested Citation

  • Preben Forer & Barak Budnick & Pierpaolo Vivo & Sabrina Aufiero & Silvia Bartolucci & Fabio Caccioli, 2025. "Financial instability transition under heterogeneous investments and portfolio diversification," Papers 2501.19260, arXiv.org.
    • Handle: RePEc:arx:papers:2501.19260
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2501.19260
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marco Bardoscia & Stefano Battiston & Fabio Caccioli & Guido Caldarelli, 2015. "DebtRank: A Microscopic Foundation for Shock Propagation," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-13, June.
    2. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    3. Acharya, Viral V., 2009. "A theory of systemic risk and design of prudential bank regulation," Journal of Financial Stability, Elsevier, vol. 5(3), pages 224-255, September.
    4. Aymanns, Christoph & Farmer, J. Doyne, 2015. "The dynamics of the leverage cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 155-179.
    5. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "The Aftermath of Financial Crises," American Economic Review, American Economic Association, vol. 99(2), pages 466-472, May.
    6. Shleifer, Andrei & Vishny, Robert W, 1992. "Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1343-1366, September.
    7. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    8. Enrique G. Mendoza & Marco E. Terrones, 2014. "An Anatomy of Credit Booms and their Demise," Central Banking, Analysis, and Economic Policies Book Series, in: Miguel Fuentes D. & Claudio E. Raddatz & Carmen M. Reinhart (ed.),Capital Mobility and Monetary Policy, edition 1, volume 18, chapter 6, pages 165-204, Central Bank of Chile.
    9. Pierre-Olivier Gourinchas & Rodrigo Valdes & Oscar Landerretche, 2001. "Lending Booms: Latin America and the World," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Spring 20), pages 47-100, January.
    10. Caccioli, Fabio & Shrestha, Munik & Moore, Cristopher & Farmer, J. Doyne, 2014. "Stability analysis of financial contagion due to overlapping portfolios," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 233-245.
    11. Bernanke, Ben & Gertler, Mark & Gilchrist, Simon, 1996. "The Financial Accelerator and the Flight to Quality," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 1-15, February.
    12. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    13. Jean-Philippe Bouchaud & Rama Cont, 1998. "A Langevin approach to stock market fluctuations and crashes," Science & Finance (CFM) working paper archive 500027, Science & Finance, Capital Fund Management.
    14. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2009. "More hedging instruments may destabilize markets," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1912-1928, November.
    15. Moritz Schularick & Alan M. Taylor, 2012. "Credit Booms Gone Bust: Monetary Policy, Leverage Cycles, and Financial Crises, 1870-2008," American Economic Review, American Economic Association, vol. 102(2), pages 1029-1061, April.
    16. Tobias Adrian & Hyun Song Shin, 2014. "Procyclical Leverage and Value-at-Risk," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 373-403.
    17. Sirio Aramonte & Andreas Schrimpf & Hyun Song Shin, 2023. "Non-bank financial intermediaries and financial stability," Chapters, in: Refet S. Gürkaynak & Jonathan H. Wright (ed.), Research Handbook of Financial Markets, chapter 7, pages 147-170, Edward Elgar Publishing.
    18. Piero Mazzarisi & Fabrizio Lillo & Stefano Marmi, 2018. "When panic makes you blind: a chaotic route to systemic risk," Papers 1805.00785, arXiv.org.
    19. Rama Cont & Eric Schaanning, 2017. "Fire sales, indirect contagion and systemic stress testing," Working Paper 2017/2, Norges Bank.
    20. Coen, Jamie & Lepore, Caterina & Schaanning, Eric, 2019. "Taking regulation seriously: fire sales under solvency and liquidity constraints," Bank of England working papers 793, Bank of England.
    21. Ben-Horim, Moshe & Levy, Haim, 1980. "Total Risk, Diversifiable Risk and Nondiversifiable Risk: A Pedagogic Note," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(2), pages 289-297, June.
    22. Rama Cont & Lakshithe Wagalath, 2012. "Fire Sales Forensics: Measuring Endogenous Risk," Working Papers hal-00697224, HAL.
    23. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    24. Jeremy C. Stein, 1998. "An Adverse-Selection Model of Bank Asset and Liability Management with Implications for the Transmission of Monetary Policy," RAND Journal of Economics, The RAND Corporation, vol. 29(3), pages 466-486, Autumn.
    25. Caccioli, Fabio & Farmer, J. Doyne & Foti, Nick & Rockmore, Daniel, 2015. "Overlapping portfolios, contagion, and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 50-63.
    26. Pierre-Olivier Gourinchas & Rodrigo Valdes & Oscar Landerretche, 2001. "Lending Booms: Latin America and the World," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Spring 20), pages 47-100, January.
    27. Tobias Adrian & Hyun Song Shin, 2009. "Money, Liquidity, and Monetary Policy," American Economic Review, American Economic Association, vol. 99(2), pages 600-605, May.
    28. Elton, Edwin J. & Gruber, Martin J., 1997. "Modern portfolio theory, 1950 to date," Journal of Banking & Finance, Elsevier, vol. 21(11-12), pages 1743-1759, December.
    29. Pflug, Georg Ch. & Pichler, Alois & Wozabal, David, 2012. "The 1/N investment strategy is optimal under high model ambiguity," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 410-417.
    30. Mokkelbost, Per B., 1971. "Unsystematic Risk Over Time," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 6(2), pages 785-796, March.
    31. Danielsson, Jon & Shin, Hyun Song & Zigrand, Jean-Pierre, 2004. "The impact of risk regulation on price dynamics," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 1069-1087, May.
    32. Danilo Delpini & Stefano Battiston & Guido Caldarelli & Massimo Riccaboni, 2019. "Systemic risk from investment similarities," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-15, May.
    33. Andrew G. Haldane & Robert M. May, 2011. "Systemic risk in banking ecosystems," Nature, Nature, vol. 469(7330), pages 351-355, January.
    34. Fabio Caccioli & Matteo Marsili & Pierpaolo Vivo, 2009. "Eroding market stability by proliferation of financial instruments," Papers 0910.0064, arXiv.org.
    35. F. Caccioli & M. Marsili & P. Vivo, 2009. "Eroding market stability by proliferation of financial instruments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 467-479, October.
    36. Albert S. Kyle & Wei Xiong, 2001. "Contagion as a Wealth Effect," Journal of Finance, American Finance Association, vol. 56(4), pages 1401-1440, August.
    37. Chaehee Shin & Maddie White, 2020. "Fire-Sale Vulnerabilities of Banks: Bank-Specific Risks under Stress and Credit Drawdowns," FEDS Notes 2020-10-08, Board of Governors of the Federal Reserve System (U.S.).
    38. Lillo, Fabrizio & Pirino, Davide, 2015. "The impact of systemic and illiquidity risk on financing with risky collateral," Journal of Economic Dynamics and Control, Elsevier, vol. 50(C), pages 180-202.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fulvio Corsi & Stefano Marmi & Fabrizio Lillo, 2016. "When Micro Prudence Increases Macro Risk: The Destabilizing Effects of Financial Innovation, Leverage, and Diversification," Operations Research, INFORMS, vol. 64(5), pages 1073-1088, October.
    2. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    3. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    4. Paulin, James & Calinescu, Anisoara & Wooldridge, Michael, 2019. "Understanding flash crash contagion and systemic risk: A micro–macro agent-based approach," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 200-229.
    5. Wiersema, Garbrand & Kleinnijenhuis, Alissa M. & Wetzer, Thom & Farmer, J. Doyne, 2023. "Scenario-free analysis of financial stability with interacting contagion channels," Journal of Banking & Finance, Elsevier, vol. 146(C).
    6. Riccetti, Luca & Russo, Alberto & Gallegati, Mauro, 2013. "Leveraged network-based financial accelerator," Journal of Economic Dynamics and Control, Elsevier, vol. 37(8), pages 1626-1640.
    7. Aldasoro, Iñaki & Hüser, Anne-Caroline & Kok, Christoffer, 2022. "Contagion accounting in stress-testing," Journal of Economic Dynamics and Control, Elsevier, vol. 137(C).
    8. Ebrahimi Kahou, Mahdi & Lehar, Alfred, 2017. "Macroprudential policy: A review," Journal of Financial Stability, Elsevier, vol. 29(C), pages 92-105.
    9. 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.
    10. Poledna, Sebastian & Martínez-Jaramillo, Serafín & Caccioli, Fabio & Thurner, Stefan, 2021. "Quantification of systemic risk from overlapping portfolios in the financial system," Journal of Financial Stability, Elsevier, vol. 52(C).
    11. Brunnermeier, Markus K. & Oehmke, Martin, 2013. "Bubbles, Financial Crises, and Systemic Risk," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1221-1288, Elsevier.
    12. Marco Bardoscia & Stefano Battiston & Fabio Caccioli & Guido Caldarelli, 2015. "DebtRank: A Microscopic Foundation for Shock Propagation," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-13, June.
    13. Christoph Aymanns & J. Doyne Farmer & Alissa M. Keinniejenhuis & Thom Wetzer, 2017. "Models of Financial Stability and their Application in Stress Tests," Working Papers on Finance 1805, University of St. Gallen, School of Finance.
    14. Borsi, Mihály Tamás, 2018. "Credit contractions and unemployment," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 573-593.
    15. Bougheas, Spiros & Harvey, David I. & Kirman, Alan & Nelson, Douglas, 2024. "Systemic risk in banking, fire sales, and macroeconomic disasters," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).
    16. Caccioli, Fabio & Ferrara, Gerardo & Ramadiah, Amanah, 2024. "Modelling fire sale contagion across banks and non-banks," Journal of Financial Stability, Elsevier, vol. 71(C).
    17. Carro, Adrian & Stupariu, Patricia, 2024. "Uncertainty, non-linear contagion and the credit quality channel: An application to the Spanish interbank market," Journal of Financial Stability, Elsevier, vol. 71(C).
    18. Matteo Ciccarelli & Angela Maddaloni & Jose Luis Peydro, 2015. "Trusting the Bankers: A New Look at the Credit Channel of Monetary Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 979-1002, October.
    19. Aikman, David & Beale, Daniel & Brinley-Codd, Adam & Covi, Giovanni & Hüser, Anne‑Caroline & Lepore, Caterina, 2023. "Macroprudential stress‑test models: a survey," Bank of England working papers 1037, Bank of England.
    20. Jean-Philippe Bouchaud, 2024. "The Self-Organized Criticality Paradigm in Economics & Finance," Papers 2407.10284, arXiv.org, revised Sep 2024.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2501.19260. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.