Financial applications of expectiles
Fabio Bellini  1  
1 : University of Milano-Bicocca

Expectiles are a class of generalized quantiles that have been recently axiomatized as the only coherent risk measures that are also elicitable, since they are defined by the minimization of a suitable piecewise quadratic asymmetric scoring function. In this talk we review their theoretical properties and focus on three recently developed financial applications: the use of expectiles as capital requirements, as alternative measures of implied volatility, and as objective functions in the construction of risk parity portfolios.



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