Weakening the Gain-Loss-Ratio measure to make it stronger
Jan Voelzke
No 3114, CQE Working Papers from Center for Quantitative Economics (CQE), University of Muenster
Abstract:
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 markets. For both applications, there is a considerable theoretical drawback: It reaches infinity for nontrivial cases in many standard models with continuous probability space. In this paper, a more general ratio is proposed, which includes the original Gain-Loss-Ratio as a limit case. This so-called "Substantial Gain-Loss-Ratio" is applicable in case of continuous probabilities. In addition, in its function as a performance measure it helps illuminate the source respectively the distribution of out-performance, that a portfolio reveals.
Keywords: Gain-loss ratio; acceptability index; incomplete markets; good-deal bounds (search for similar items in EconPapers)
JEL-codes: G11 G12 G13 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2014-06
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Persistent link: https://EconPapers.repec.org/RePEc:cqe:wpaper:3114
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