The Gain-Loss-Ratio, proposed by Bernardo and Ledoit (2000), evaluates the attractiveness of an investment opportunity for an investor with a given stochastic discount factor. It can either be used as a performance measure on a market with known prices or to derive price-intervals in incomplete...

The Gain–Loss-Ratio, proposed by Bernardo and Ledoit (2000), can either be used as a performance measure on a market with known prices or to derive price intervals in incomplete markets. For both applications, there is a considerable theoretical drawback: it reaches infinity for nontrivial...

We define Conditional quasi concave Performance Measures (CPMs), on random variables bounded from below, to accommodate for additional information. Our notion encompasses a wide variety of cases, from conditional expected utility and certainty equivalent to conditional acceptability indexes. We...