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The multivariate option iPoD framework: assessing systemic financial risk

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  • Matros, Philipp
  • Vilsmeier, Johannes

Abstract

We derive multivariate risk-neutral asset distributions for major US financial institutions (FIs) using option implied marginal risk-neutral asset distributions (RNDs) and probabilities of default (PoDs). The multivariate densities are estimated by combining the entropy approach, dynamic copulas and rank correlations. Our density estimates yield information about the conditional distributions of the individual FIs, and we propose several financial distress measures based on default scenarios in the financial sector. Empirical results around the period of the US sub-prime crisis show that the proposed risk measures identify in a timely manner: i) the most distressed FIs in the system; ii) the systemically most important FIs; iii) the implicit bailout guarantees given to some FIs; and iv) a "too connected to fail" problem in the US financial sector throughout the year 2008.

Suggested Citation

  • Matros, Philipp & Vilsmeier, Johannes, 2014. "The multivariate option iPoD framework: assessing systemic financial risk," Discussion Papers 20/2014, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdps:202014
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    References listed on IDEAS

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    More about this item

    Keywords

    Financial Distress; Conditional Probability of Default; Copulas; Option Prices; Entropy Principle;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G01 - Financial Economics - - General - - - Financial Crises
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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