The combination of stochastic derivative pricing models and downside risk measures often leads to the paradox (risk … expected returns and very negative downside risk (henceforth "golden strategy") has only been studied if all the involved … multi-asset golden strategies for both the expected shortfall and the expectile risk measure, and shows that the use of …

measures of risk. Furthermore, Qα(X ; p) is the optimal value in a certain minimization problem, the minimizers in which are … problems. In finance, Q0(X;p) and Q1(X ; p) are known as the value at risk (VaR) and the conditional value at risk (CVaR). The … sensitivity to risk. The problems of the effective computation of the bounds are considered. Various other related results are …

We explore a multi-asset jump-diffusion pricing model, combining a systemic risk asset with several conditionally … assets that works even if the data are incomplete and asynchronous. Alternatively, to find risk-neutral parameters, the least … propose a Laplace-transform-based approach to computing Value at Risk (VaR) and conditional VaR (also known as the expected …

that Lévy process-based models provide a better fit to the US statutory accounting data, and identifies how parameter risk … insurance parameter risk. …

The objective is to study the use of non-translation invariant risk measures within the equal risk pricing (ERP …) methodology for the valuation of financial derivatives. The ability to move beyond the class of convex risk measures considered in … several prior studies provides more flexibility within the pricing scheme. In particular, suitable choices for the risk …

When the uni-variate risk measure analysis is generalized into the multi-variate setting, many complex theoretical and … applied problems arise, and therefore the mathematical models used for risk quantification usually present model risk. As a … task, we propose a novel multi-variate risk measure, based on the notion of the Wasserstein barycenter. The proposed …

Evaluating risk measures, premiums, and capital allocation based on dependent multi-losses is a notoriously difficult … by a heavy-tailed background risk. A particular attention is given to the distortion and weighted risk measures and … allocations, as well as their special cases such as the conditional layer expectation, tail value at risk, and the truncated tail …

This article reviews two leading measures of financial risk and an emerging alternative. Embraced by the Basel accords …, value-at-risk and expected shortfall are the leading measures of financial risk. Expectiles offset the weaknesses of value-at-risk … (VaR) and expected shortfall. Indeed, expectiles are the only elicitable law-invariant coherent risk measures. After …

The aim of this paper is to provide several examples of convex risk measures necessary for the application of the … classical portfolio risk measures such as the standard deviation, we, in particular, construct risk measures related to the … and Mahmoud (2017), and Zabarankin, Pavlikov, and Uryasev (2014), who used the absolute drawdown, our risk measure is …

In the present paper, we study quantile risk measures and their domain. Our starting point is that, for a probability … measure Q on the open unit interval and a wide class L Q of random variables, we define the quantile risk measure ϱ Q as the … quantile risk measure is a natural generalization of that of a spectral risk measure and provides another view of the …