6 papers
Risk Measures on Lipschitz Spaces
Henrik Karlholm, Marlon Moresco, Marcelo Righi
This paper develops a theory of monetary risk measures on metric state spaces. We propose the space of Lipschitz functions vanishing at a reference state as a natural domain for fi…
Dual Representation of Robust Risk Measures and Uncertainty Sets
Marlon R. Moresco, Marcelo Righi, Silvana M. Pesenti
We consider robust risk measures that arise as worst-case values of convex risk measures evaluated on uncertainty sets. We characterize continuity properties of robust risk measure…
Ranking Metrics: Extending Acceptability and Performance Indexes
Asmerilda Hitaj, Elisa Mastrogiacomo, Ilaria Peri +1
This paper develops an axiomatic framework for ranking metrics, a general class of functionals for evaluating and ordering financial or insurance positions. Unlike traditional risk…
Robust risk measures: an averaging approach
Marcelo Righi, Rodrigo Targino
We develop an averaging approach to robust risk measurement under payoff uncertainty. Instead of taking a worst-case value over an uncertainty neighborhood, we weight nearby payoff…
Set risk measures
Marcelo Righi, Eduardo Horta, Marlon Moresco
We introduce set risk measures (SRMs), real-valued maps defined on the family of non-empty closed bounded sets of essentially bounded random variables. SRMs extend traditional scal…
A note on robust convex risk measures
Marcelo Righi, Fernanda Müller
In this paper, we refine and generalize closed forms for worst-case law invariant convex risk measures with uncertainty sets based on: i) closed balls under -norms and Wasserste…