Operational Risk and the Solvency II Capital Aggregation Formula: Implications of the Hidden Correlation Assumptions

10 Pages Posted: 21 Feb 2016

See all articles by Arturo Cifuentes

Arturo Cifuentes

CLAPES--UC

Ventura Charlin

V.C. Consultants; EVENTUS ANALYTICS; V.C. Consultants

Multiple version iconThere are 2 versions of this paper

Date Written: February 19, 2016

Abstract

We analyze the Solvency II standard formula (SF) for capital risk aggregation in relation to the treatment of operational risk (OR) capital. We show that the SF implicitly assumes that the correlation between OR and the other risks is very high, a situation which seems to be at odds with both, the empirical evidence, and the view of most industry participants. We also show that this formula, which somehow obscures the correlation assumptions, gives different insurance companies, different benefits for diversification effects in relation to OR. Unfortunately, these benefits are based on the relative weights of the six basic capital components and not on any risk-related metric. Hence, contrary to what has been claimed, the SF does give diversification benefits (although minor ones) in relation to OR. Finally, since the SF does not treat the correlation between OR and the other risks explicitly, it provides no incentive to gather data regarding this effect.

Keywords: operational risk, correlation, Solvency II standard formula, capital risk aggregation, diversification benefits

JEL Classification: C18, G18, G22, G28, C02

Suggested Citation

Cifuentes, Arturo and Charlin, Ventura, Operational Risk and the Solvency II Capital Aggregation Formula: Implications of the Hidden Correlation Assumptions (February 19, 2016). Available at SSRN: https://ssrn.com/abstract=2735009 or http://dx.doi.org/10.2139/ssrn.2735009

Arturo Cifuentes

CLAPES--UC ( email )

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EVENTUS ANALYTICS ( email )

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