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CHOQUET INSURANCE PRICING: A CAVEAT
Authors:Erio  Castagnoli Fabio  Maccheroni Massimo  Marinacci
Affiliation:Istituto di Metodi Quantitativi, UniversitàBocconi, Milan; Istituto di Metodi Quantitativi and IGIER, UniversitàBocconi, Milan, and ICER, Turin; Dipartimento di Statistica e Matematica Applicata and ICER, Universitàdi Torino, Turin
Abstract:
We show that, if prices in a market are Choquet expectations, the existence of one frictionless asset may force the whole market to be frictionless. Any risky asset will cause this collapse if prices depend only on the distribution with respect to a given nonatomic probability measure; the frictionless asset has to be fully revealing if such dependence is not assumed. Similar considerations apply to law-invariant coherent risk measures.
Keywords:Choquet integral    financial markets    insurance pricing    coherent risk measures
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