Accurate estimation and optimal control of tail risk is important for building portfolios with desirable properties, especially when dealing with a large set of assets. In this work, we consider optimal asset allocations strategies based on the minimization of two asymmetric deviation measures,...

Robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is of crucial importance when making well-informed risk management decisions. In this paper, we quantify for any given distortion risk measure its robustness to distributional uncertainty by...

We model the new quantitative aspects of market risk management for banks that Basel established in 2016 and came into effect in January 2019. Market risk is measured by Conditional Value at Risk (CVaR) or Expected Shortfall at a confidence level of 97.5%. The regulatory backtest remains largely...

We investigate a new family of distributionally robust optimization problem under marginal and copula ambiguity with applications to portfolio optimization problems. The proposed model considers the ambiguity set of portfolio return in which the marginal distributions and their copula are close...

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 management. The proposed approach accounts for all...

The Basel Committee on Banking Supervision recently proposed fundamental changes in the regulatory treatment of financial institutions' trading book positions. Among others, a replacement of Value-at-Risk (α=0.99) by Expected Shortfall (α=0.975) for the quantification of market risk is...

In this note, we present a simple, practical and easily implementable coverage test to backtest any spectral risk measure. Our test gives a single decision at a specified confidence level and is perfectly consistent with the binomial test for VaR. Particular attention is given to the special...

CAPM with all its controversies is still valid, popular and most used asset pricing model in world. Three major perspectives run among the researchers. The first rejects CAPM completely and the rest two advocates changes but differently. A scrupulous analysis yields that investors care more for...

In contrast with existing literature that focuses on conditional Value-At-Risk (CVaR) as a portfolio risk measure, we examine here the properties of portfolios built to minimize CVaR. We look into the stability and performance potential of CVaR-optimal portfolios and compare our results with...

In this paper we propose an approach to Asset Liability Management of various institutions, in particular insurance companies, based on a dual VaR constraint for the asset and the surplus. A key ingredient of this approach is a flexible modelling of the term structure of interest rates leading...