We employ the R-vine copula approach to study the dependence structures among non-ferrous metal commodity futures on the London Metal Exchange, focusing on the comparison before and after the 2008 financial crisis. We document that the center of dependence structure among non-ferrous metal...

The work introduces the concept of a new risk measure VaR in a square (VaR(2)) and displays the formula for calculating it. It turns out that to calculate the VaR (2), it is sufficient to calculate a normal measure of risk VaR , with a certain changed confidence probability.The ratio of risk...

The risk parity solution to the asset allocation problem yields portfolios where the risk contribution from each asset is made equal. We consider a generalized approach to this problem. First, we set an objective that seeks to maximize the portfolio expected return while minimizing portfolio...

This paper considers some univariate and multivariate operational risk models, in which the loss severities are modelled by some weakly tail dependent and heavy-tailed positive random variables, and the loss frequency processes are some general counting processes. In such models, we derive some...

This paper is concerned with the process of risk allocation for a generic multivariate model when the risk measure is chosen as the Value-at-Risk (VaR). Making use of Malliavin calculus, we recast the traditional Euler contributions from an expectation conditional to an event of zero probability...

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,...

The multivariate conditional probability distribution models the effects of a set of variables onto the statistical properties of another set of variables. In the study of systemic risk in a financial system, the multivariate conditional probability distribution can be used for stress-testing by...

Even though econometric and technological advances have contributed to the vast risk modelling literature, practitioners in most cases use the simplest and most conventional approaches in order to avoid algorithmic complexity and increased costs. In this study we present a new approach which...

We forecast portfolio risk for managing dynamic tail risk protection strategies, based on extreme value theory, expectile regression, Copula-GARCH and dynamic GAS models. Utilizing a loss function that overcomes the lack of elicitability for Expected Shortfall, we propose a novel Expected...

We give a full characterization of the continuation and stopping regions of optimal stopping of diffusions. We consider separately the case of a naive agent who is unaware of the possible time inconsistency in her behavior and the case of a sophisticated agent who is fully aware of such an...