you are invited to participate to the following seminar on Wednesday 29th of May 2024 at 12:00:

Title: STOCHASTIC ORDERINGS FOR SET-VALUED RISK MEASURES

Abstract: 

We introduce and analyze from an axiomatic point of view an extension to the set-valued scenario of the maximal

correlation risk measure as defined by Burgert and Rüschendorf (2006). Furthermore, we present the notion of stochastic

ordering for random vectors, utilizing the upper expectation operator - introduced in Hamel and Heyde (2021) - in

conjunction with extensive classes of multidimensional functions. We then explore the consistency of such stochastic

orderings for appropriate set-valued risk measures. These measures resemble the maximal correlation risk measure, offering

flexibility regarding adherence to all the axioms of a portfolio aggregator and a proper set-valued risk measure. A remarkable

example within this category is represented by law-invariant set-valued risk measures, such as the set-valued distortion risk

measure as defined, for example, in Chen and Hu (2019).

The in-person presentation will be held in Room 3 Padiglione Morselli, Via Ottorino Rossi, 9, 21100 Varese VA, Insubria University.

Scan the QR code in the attached file to join the seminar online in MS Teams.

Best regards,

Elisa Mastrogiacomo