Ranking Metrics: Extending Acceptability and Performance Indexes

Asmerilda Hitaj, Elisa Mastrogiacomo, Ilaria Peri and Marcelo Righi

Papers from arXiv.org

Abstract: 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-adjusted performance measures-such as the Sharpe ratio, RAROC, or Omega-that express reward per unit of risk, ranking metrics assign each position a performance level rather than a normalized return. Relying on monotonicity and a new property called cash-quasiconcavity, we derive representation results linking ranking metrics to families of acceptance sets and risk measures, extending the theory of acceptability indices. Classical ratios arise as special cases, while new examples-based on expected-loss, Lambda-quantile, and bibliometric indices-illustrate the framework's flexibility. Empirical applications to portfolio ranking and climate-risk insurance demonstrate its practical relevance.

Date: 2026-04
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2604.16438

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