literature. First, a numerically more stable objective function for the estimation of the risk neutral density is derived whose …

portfolio, one for market risk and one for credit risk. Similar approaches are common in banks’ internal models for economic … capital. Although it is known that joint market and credit risk of certain investments can be larger than the sum of risks … holdings or CDS portfolios – are also affected. There are realistic conditions under which credit risk (represented by ratings …

The Value at Risk approach (VaR) is more and more used as a tool for risk measurement. The approach however has … measurement: it is particularly interpretable as a special measure of shortfall risk. From that point of view VaR will be extended … shortcomings both from a theoretical and a practical point of view. VaR can be classified within existing concepts of risk …

that time in general resilient to the default of large banks, i.e. did not exhibit substantial contagion risk. Even though …

real economic activity growth, in line with a risk shock. Conversely, a certainty shock (a shock strongly decreasing …

unknown, and maximum entropy serves as the leading method for estimating unobserved counterparty exposures. This paper … entropy and also permits more robust analysis. Using the two benchmarks side by side helps identify a range of possible … systemic risk outcomes when the true pattern of counterparty exposures is unknown. …

We evaluate the role of financial conditions as predictors of macroeconomic risk first in the quantile regression …

This paper uses the method developed by Bollerslev and Todorov (2011b) to estimate risk premia for extreme events for … from options data. In a second step, jump tail distributions are approximated using the extreme value theory. Applying the … method to German data yields very similar results to the ones shown for the US data. The risk premia for rare events …

Recent literature has proposed new methods for measuring the systemic risk of financial institutions based on observed … stock returns. In this paper we examine the reliability and robustness of such risk measures, focusing on CoVaR, marginal … expected shortfall, and option-based tail risk estimates. We show that CoVaR exhibits undesired characteristics in the way it …