Risk capital allocations (RCAs) are an important tool in quantitative risk management, where they are utilized to, e.g., gauge the profitability of distinct business units, determine the price of a new product, and conduct the marginal economic capital analysis. Nevertheless, the notion of RCA...

The risk of financial positions is measured by the minimum amount of capital to raise and invest in eligible portfolios of traded assets in order to meet a prescribed acceptability constraint. We investigate nondegeneracy, finiteness and continuity properties of these risk measures with respect...

This paper characterizes the probability of a market failure defined as the default of two or more globally systemically important banks (G-SIBs) in a small interval of time. The default probabilities of the G-SIBs are correlated through the possible existence of a market-wide stress event. The...

Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to the position to make it acceptable.We propose a new concept: intrinsic risk measures. The definition via external capital is avoided and only internal resources appear. An...

This document, static and dynamically, analyzes the changes in living conditions in Colombia between 1997 and 2003 by means of an alternative index which includes health aspects and the time spent in mobilization. These variables reduce the importance granted to physical capital in other indexes...

Stop-loss and limited loss random variables are two important transforms of a loss random variable and appear in many modelling problems in insurance, finance, and other fields. Risk levels of a loss variable and its transforms are often measured by risk measures. When only partial information...

Measuring the responsiveness of a market risk model is relevant whenever the focus is on evaluating if a model is over- or under-reacting to changes in market conditions. Such is the case, for example, in the discussion about procyclical effects of the initial margin models used both in the...

This paper proves that the (negative) certainty equivalent (CE) in reference-dependent decision theories (such as Prospect Theory) always satisfies the well-known axiomatic characterisation of a monetary risk measure, although in rational Expected Utility Theory this only holds in special cases....

This paper investigates the coherent risk measure of normal mixture distributions. The main result shows that the mean-risk portfolio optimization problem of some widely-used normal mixture distributions can be reduced to a quadratic programming problem which has closed form of solution by...