risky assets. Using coherent measures of risk the sum of the capital requirements of the divisions is larger than the … jointly satisfy three natural fairness requirements for allocating risk capital in illiquid markets: Core Compatibility, Equal … Treatment Property and Strong Monotonicity. Core Compatibility can be viewed as the allocated risk to each coalition (subset) of …

This paper presents a general theory that works out the relation between coherent risk measures, valuation bounds, and … preferences, in the way many coherent risk measures are somewhat generic. -- coherent risk rneasures ; valuation bounds …

Under the Basel II regulatory framework non-negligible statistical problems arise when backtesting risk measures. In …. According to Escanciano and Olmo (2010, 2011) these problems persist when incorporating estimation and model risk by adjusting … adequacy of Value at Risk measures. One main finding indicates that backtests of all classes show heavy size distortions. These …

We discuss risk measures representing the minimum amount of capital a financial institution needs to raise and invest …-additive risk measures, for which the eligible asset is a risk-free bond, on the grounds that the general case can be reduced to the … provide a variety of finiteness and continuity results for the corresponding risk measures and apply them to risk measures …

We define and develop an approach for risk budgeting allocation -- a risk diversification portfolio strategy -- where … risk is measured using a dynamic time-consistent risk measure. For this, we introduce a notion of dynamic risk … contributions that generalise the classical Euler contributions and which allow us to obtain dynamic risk contributions in a …

The paper proposes a new approach to model risk measurement based on the Wasserstein distance between two probability … measures. It formulates the theoretical motivation resulting from the interpretation of fictitious adversary of robust risk … nominal model. The Wasserstein approach suits for all types of model risk problems, ranging from the single-asset hedging risk …

In line with regulations and common risk management practice, the credit risk of a portfolio is managed via its … computations to exposure computations, firms find it expedient to compute these exposures under the risk neutral measure.Here we … show that exposures computed under the risk neutral measure are essentially arbitrary. They depend on the choice of …

Risk and return play a central role in financial theory. Return is easily measurable and is a percentage number … indicating by how much the value of an investment or asset has changed from the previous period. But how should risk be measured …? Over longer holding periods, return generation is associated with the risk taken. How can risk be measured to facilitate …