Real-Valued Systemic Risk Measures

Vector-valued coherent risk measures

We define (d, n)−coherent risk measures as set-valued maps from Ld into IR satisfying some axioms. We show that this definition is a convenient extension of the real-valued risk measures introduced by Artzner, Delbaen, Eber and Heath (1998). We then discuss the aggregation issue, i.e. the passage from IR−valued random portfolio to IR−valued measure of risk. Necessary and sufficient conditions o...

Hyperreal-Valued Probability Measures Approximating a Real-Valued Measure

Measures of Systemic Risk

Systemic risk measures: the simpler the better?

The financial system plays a fundamental role in the global economy as the middleman between agents who need to borrow and agents who are willing to lend or invest. As a consequence, it is naturally linked to all economic sectors and, therefore, if the financial system does not work properly, its problems have a strong impact on the real economy. We can see this in the deteriorating fundamental...

Systemic Risk Evaluation of Banks and financial institutions applying Markov clustering method and centrality measures of risk

Systemic risk is the risk beared by an economic system because of a special organization. This means that a liquidity problem or a financial crisis in one company could trigger a chain of reactions that puts the whole market into trouble. This kind of risk was underestimated until 2008 financial crisis. Now federal regulations exist for controlling this risk of financial institutions. Among div...