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Asymptotic Analysis of Risk Premia Induced by Law-Invariant Risk Measures

Risk Management 2021-07-06 v1 Probability

Abstract

We analyze the limiting behavior of the risk premium associated with the Pareto optimal risk sharing contract in an infinitely expanding pool of risks under a general class of law-invariant risk measures encompassing rank-dependent utility preferences. We show that the corresponding convergence rate is typically only n1/2n^{1/2} instead of the conventional nn, with nn the multiplicity of risks in the pool, depending upon the precise risk preferences.

Keywords

Cite

@article{arxiv.2107.01730,
  title  = {Asymptotic Analysis of Risk Premia Induced by Law-Invariant Risk Measures},
  author = {Thomas Knispel and Roger J. A. Laeven and Gregor Svindland},
  journal= {arXiv preprint arXiv:2107.01730},
  year   = {2021}
}