We propose a family of range based risk measures to generalize the role of Value at Risk (VaR) in the formulation of Range Value at Risk (RVaR) considering other risk measures induced by a tail level. We discuss this type of measure in detail and its theoretical properties and representations....

In Section 2 of Bernard et al. (2020), we study bounds on Range Value-at-Risk (RVaR) under the assumption of non-negative risk. However, Proposition 3 is erroneous, and hence Theorems 3, 4, and 5 and Corollary 5 are no longer valid. In this corrigendum, we provide a direct replacement of these...

This article presents some of the pros and cons of variance and CVaR as portfolio risk measures in mean-risk optimization. While variance is the original risk measure, thoroughly studied for the past 70 years, this article argues that there are practically no reasons for continuing to use...

Several procedures to forecast daily risk measures in cryptocurrency markets have been recently implemented in the literature. Among them, long-memory processes, procedures taking into account the presence of extreme observations, procedures that include more than a single regime, as well as...

We formulate a decision model that accommodates correlation ambiguity between the insurer’s surplus and stock return processes and study its implications for the insurer’s asset allocation rule. The ambiguity-averse insurer invests more conservatively in the stock compared to an otherwise...

Measurement uncertainty is as important as measurement in metrology and industry. The GUM and its supplements provide a widely accepted framework for evaluating measurement uncertainty; but don't provide a reasonable assessment method for some special circumstances, especially for dynamic...

In the post-WWII (since the 1950s), there have been over 400 banking, currency, and sovereign debt crises, which translates to about 10 crises per annum; furthermore, the combined cost of the last five crises since the late 1990s is in excess of $30 trillion, but when the cost of the COVID-19...

In this article we introduce a new framework for counterparty risk model backtesting based on Bayesian methods. This provides a conceptually sound approach for analyzing model performance which is also straightforward to implement. We show that our methodology provides important advantages over...

This paper studies how to construct and compare various optimal portfolio frame-works for investors in the context of the Vietnamese stock market. The aim of the study is to help investors to find solutions for constructing an optimal portfolio strategy using modern investment frameworks in the...

We consider the problem where a modeller conducts sensitivity analysis of a model consisting of random input factors, a corresponding random output of interest, and a baseline probability measure. The modeller seeks to understand how the model (the distribution of the input factors as well as...