VaR Risk Measures versus Traditional Risk Measures: An Analysis and Survey

Anthropometric Measures and the Risk of Coronary Artery Disease

Optimal Reinsurance under VaR and CTE Risk Measures

Let X denote the loss initially assumed by an insurer. In a reinsurance design, the insurer cedes part of its loss, say f(X), to a reinsurer, and thus the insurer retains a loss If (X) = X − f(X). In return, the insurer is obligated to compensate the reinsurer for undertaking the risk by paying the reinsurance premium. Hence, the sum of the retained loss and the reinsurance premium can be inter...

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...

Risk Measures , Risk Aggregation and Capital Allocation

We consider risk measures, risk aggregation and capital allocation in these lecture notes and build on our earlier introduction to Value-at-Risk (VaR) and Expected Shortfall (ES). We will follow Chapter 8 of the 2 edition of Quantitative Risk Management by MFE quite closely. This chapter, however, contains considerably more material than we will cover and it should be consulted if further detai...

Draft: Coherent Risk Measures

Part of the course was devoted to an analysis of Value at Risk and its relation to quantiles. A detailed discussion of this can be found in two papers by Artzner, Delbaen, Eber and Heath, ADEH1 and ADEH2. It will not be repeated here. We will rather concentrate on the mathematics behind the concept of coherent risk measures. They were introduced in the two mentioned papers and the mathematical ...