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Interaction of market and credit risk: an analysis of inter-risk correlation and risk aggregation

Author

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  • Hillebrand, Martin
  • Böcker, Klaus

Abstract

In this paper we investigate the interaction between a credit portfolio and another risk type, which can be thought of as market risk. Combining Merton-like factor models for credit risk with linear factor models for market risk, we analytically calculate their interrisk correlation and show how inter-risk correlation bounds can be derived. Moreover, we elaborate how our model naturally leads to a Gaussian copula approach for describing dependence between both risk types. In particular, we suggest estimators for the correlation parameter of the Gaussian copula that can be used for general credit portfolios. Finally, we use our findings to calculate aggregated risk capital of a sample portfolio both by numerical and analytical techniques.

Suggested Citation

  • Hillebrand, Martin & Böcker, Klaus, 2008. "Interaction of market and credit risk: an analysis of inter-risk correlation and risk aggregation," Discussion Paper Series 2: Banking and Financial Studies 2008,11, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdp2:7321
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    Cited by:

    1. Andre Lucas & Bastiaan Verhoef, 2012. "Aggregating Credit and Market Risk: The Impact of Model Specification," Tinbergen Institute Discussion Papers 12-057/2/DSF36, Tinbergen Institute.
    2. Grundke, Peter, 2010. "Top-down approaches for integrated risk management: How accurate are they?," European Journal of Operational Research, Elsevier, vol. 203(3), pages 662-672, June.
    3. Raupach, Peter, 2015. "Calculating trading book capital: Is risk separation appropriate?," Discussion Papers 19/2015, Deutsche Bundesbank.
    4. Tarunika Jain Agrawal & Sanjay Sehgal, 2018. "Dynamic Interaction of Bank Risk Exposures: An Empirical Study for the Indian Banking Industry," IIM Kozhikode Society & Management Review, , vol. 7(2), pages 132-153, July.

    More about this item

    Keywords

    Risk aggregation; Inter-risk correlation; economic capital; ICAAP; diversification;
    All these keywords.

    JEL classification:

    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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