Dear all,

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 VAhttps://www.google.com/maps/place//data=!4m2!3m1!1s0x478681f7697827db:0x771b5b7d990b77d0?sa=X&ved=1t:8290&ictx=111, Insubria University. Scan the QR code in the attached file to join the seminar online in MS Teams.

Best regards, Elisa Mastrogiacomo

Elisa Mastrogiacomo ----------------------------------------- Professore Ordinario di Metodi matematici dell'economia e delle scienze attuariali e finanziarie DIPARTIMENTO D'ECCELLENZA 2023/2027 Università degli Studi dell'Insubria Dipartimento di Economia

Via Monte Generoso, 71 – 21100 Varese tel. +39 0332/395528

web: www.uninsubria.ithttp://www.uninsubria.it/ mail: elisa.mastrogiacomo@uninsubria.itmailto:mario.rossi@uninsubria.it

Chiaramente Insubria!

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