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The Impact of Systemic Risk on the Diversification Benefits of a Risk Portfolio

Author

Listed:
  • Marc Busse

    (SCOR SE - SCOR SE [Paris])

  • Michel Dacorogna

    (SCOR SE - SCOR SE [Paris])

  • Marie Kratz

    (ESSEC Business School, MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5 - UPD5 - Université Paris Descartes - Paris 5 - INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques - CNRS - Centre National de la Recherche Scientifique)

Abstract

Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a probabilistic approach to examine the consequences of its presence on the risk loading of the premium of a portfolio of insurance policies. This approach could be easily generalized for investment risk. We see that, even with a small probability of occurrence, systemic risk can reduce dramatically the diversification benefits. It is clearly revealed via a non-diversifiable term that appears in the analytical expression of the variance of our models. We propose two ways of introducing it and discuss their advantages and limitations. By using both VaR and TVaR to compute the loading, we see that only the latter captures the full effect of systemic risk when its probability to occur is low.

Suggested Citation

  • Marc Busse & Michel Dacorogna & Marie Kratz, 2013. "The Impact of Systemic Risk on the Diversification Benefits of a Risk Portfolio," Working Papers hal-00914844, HAL.
    • Handle: RePEc:hal:wpaper:hal-00914844
    Note: View the original document on HAL open archive server: https://essec.hal.science/hal-00914844
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    References listed on IDEAS

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    7. Darrell Duffie, 2013. "Systemic Risk Exposures: A 10-by-10-by-10 Approach," NBER Chapters, in: Risk Topography: Systemic Risk and Macro Modeling, pages 47-56, National Bureau of Economic Research, Inc.
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    14. Susanne Emmer & Dirk Tasche, 2003. "Calculating credit risk capital charges with the one-factor model," Papers cond-mat/0302402, arXiv.org, revised Jan 2005.
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    Cited by:

    1. Suzanne Emmer & Marie Kratz & Dirk Tasche, 2013. "What Is the Best Risk Measure in Practice? A Comparison of Standard Measures," Working Papers hal-00921283, HAL.
    2. Feng, Runhuan & Shimizu, Yasutaka, 2016. "Applications of central limit theorems for equity-linked insurance," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 138-148.
    3. Le, Richard & Ku, Hyejin, 2022. "Reducing systemic risk in a multi-layer network using reinforcement learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    4. James Ming Chen, 2018. "On Exactitude in Financial Regulation: Value-at-Risk, Expected Shortfall, and Expectiles," Risks, MDPI, vol. 6(2), pages 1-28, June.
    5. Alexandru V. Asimit & Raluca Vernic & Ricardas Zitikis, 2016. "Background Risk Models and Stepwise Portfolio Construction," Methodology and Computing in Applied Probability, Springer, vol. 18(3), pages 805-827, September.
    6. Isshaq, Zangina & Faff, Robert, 2016. "Does the uncertainty of firm-level fundamentals help explain cross-sectional differences in liquidity commonality?," Journal of Banking & Finance, Elsevier, vol. 68(C), pages 153-161.

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    More about this item

    Keywords

    Stochastic Model; Risk Portfolio; Expected Shortfall; Diversification; Systemic Risk; Investment Risk; Premium; Risk Loading; Risk Management; Risk Measure; Value-at-Risk;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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