Medidas de desempeño por cocientes y dominancia estocástica de primer y segundo orden

We present the basic concepts of stochastic dominance theory and the definition of measures of performance by quotient of Farinelli and Tibiletti (FT). A consistency relationship is established between the selection of investment prospects by stochastic dominance and the FT measures and an extension of this relation is shown to the case of the Omega performance measure.Se presentan los conceptos básicos de la teoría de dominancia estocástica y la definición de medidas de desempeño por cociente de Farinelli y Tibiletti (FT). Se establece una relación de consistencia entre la selección de prospectos de inversión por dominancia estocástica y las medidas FT y se muestra una extensión de esta relación al caso de la medida de desempeño Omega

First Stochastic Dominance and Risk Measurement

Farinelli and Tibiletti (2008) propose a general risk-reward performance measurement ratio. Due to its simplicity and generality, the F-T ratios have gained much attentions. F-T ratios are ratios of average gains to average losses with respect to a target, each raised by some power index. Omega ratio and Upside Potential ratio are both special cases of F-T ratios. In this paper, we establish the consistency of F-T ratios with respect to first-order stochastic dominance. It is shown that second-order stochastic dominance is not consistent to the F-T ratios. This point is illustrated by a simple example

Management Science, Economics and Finance: A Connection

This paper provides a brief review of the connecting literature in management science, economics and finance, and discusses some research that is related to the three disciplines. Academics could develop theoretical models and subsequent econometric models to estimate the parameters in the associated models, and analyze some interesting issues in the three disciplines

Farinelli and Tibiletti ratio and Stochastic Dominance

Farinelli and Tibiletti (F-T) ratio, a general risk-reward performance measurement ratio, is popular due to its simplicity and yet generality that both Omega ratio and upside potential ratio are its special cases. The F-T ratios are ratios of average gains to average losses with respect to a target, each raised by a power index, p and q. In this paper, we establish the consistency of F-T ratios with any nonnegative values p and q with respect to first-order stochastic dominance. Second-order stochastic dominance does not lead to F-T ratios with any nonnegative values p and q, but can lead to F-T dominance with any p < 1 and q ≥ 1. Furthermore, higher-order stochastic dominance (n ≥ 3) leads to F-T dominance with any p < 1 and q ≥ n − 1. We also find that when the variables being compared belong to the same location-scale family or the same linear combination of location-scale families, we can get the necessary relationship between the stochastic dominance with the F-T ratio after imposing some conditions on the means. Our findings enable academics and practitioners to draw better decision in their analysis

Time Diversification: Perspectives from the Economic Index of Riskiness

Time diversification which is the idea of there being less riskiness over longer investment horizons is examined in this paper. Different from previous studies, this paper contributes to the literature by using the Aumann and Serrano index as a risk measure to examine whether there is any time diversification in stock investment by using the daily return of the S&P 500, the S&P 400, and the NASDAQ with both short and long holding periods and by using the block bootstrapping technique in the simulation. From returns of short (long) holding periods, we conclude that, in general, the riskiness of the shorter (longer) period is statistically greater than that of the longer (shorter) period. Our findings reject the hypothesis of no time diversification effect and reject the geometric Brownie motion process for the returns of different holding periods. The results could be due to short- and medium-term momentum and long-term contrarian. Our findings are useful to academics, investors, and policy makers in their decision making related to time diversification

Management Information, Decision Sciences, and Financial Economics : a connection

The paper provides a brief review of the connecting literature in management information, decision sciences, and financial economics, and discusses some research that is related to the three cognate disciplines. Academics could develop theoretical models and subsequent econometric models to estimate the parameters in the associated models, and analyze some interesting issues in the three related disciplines

Empirical Study on Conservative and Representative Heuristics of Hong Kong Small Investors Adopting Momentum and Contrarian Trading Strategies

Recently, a new Bayesian approach has been developed to explain some market anomalies. In this paper, we conduct a questionnaire survey to examine whether the theory holds empirically by studying the conservative and representative heuristics by Hong Kong small investors who adopt momentum and/or contrarian trading strategies. In addition, our study provides evidence for the small investors on their time horizon and risk tolerance when facing uncertainty in their investments. Our findings are useful to small investors in their investment decision making and useful to financial advisors in providing service to small investors

Stochastic Dominance and Investors’ Behavior towards Risk: The Hong Kong Stocks and Futures Markets

This paper applies stochastic dominance (SD) tests to examine the dominance relationships between the futures and spot markets in Hong Kong. We also analyze the preferences for the risk averters, risk seekers, prospect investors, and Markowitz investors with further in dept of their positive and negative domains in these markets. We find that for the risk averters, spot dominates futures while for the risk seekers, futures dominate spot. This implies that the risk averters prefer to buy indexed stocks, while risk seekers are attracted to long index futures to maximize their expected utilities, but not necessary their wealth. We also conclude that in general, the prospect investors prefer spot in the positive domain and prefer futures in the negative domain while the Markowitz investors prefer spot in the negative domain and prefer futures in the positive domain