A comparative study of Gini's mean difference and mean variance in portfolio analysis

Article Abstract:

The methods traditionally used for comparing uncertain prospects are the mean variance and the stochastic dominance approaches. Yitzhaki has recently presented an alternative model based on Gini's mean difference to compare uncertain prospects. The mean Gini model is similar in nature to the mean variance model in that it uses a two-parameter statistic to describe the probability distribution of risky returns. Theoretically, the mean Gini model is consistent with the behavior of investors under conditions of uncertainty for a wider class of probability distributions. Thus Gini's mean difference appears to be more adequate than variance as a measure of risk. This study firstly generated the mean Gini efficient frontier and secondly compared the mean variance efficient frontier with it. For the sample data employed, the mean variance model gave a very good approximation to the mean Gini model. Since the computational costs of the mean variance approach were a small fraction of those of the mean Gini approach, the theoretical advantage would not appear in this case to translate into a practical one. (Reprinted by permission of the publisher.)

Portfolio management, Investments

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Mean gini capital asset pricing model: some empirical evidence

Article Abstract:

The capital asset pricing model of Sharpe (1964) and Lintner (1965) provides a valid approach to portfolio selection if either the distribution of asset returns is jointly normal or the investor's preference function is quadratic. Various authors have questioned the validity of these assumptions, and Roll (1977) raises the question whether the traditional CAPM can be tested. An alternative Capital Asset Pricing Model has been proposed by Shalit and Yitzhaki (1984). In this model the extended mean Gini coefficient is used to measure risk. As little research has been conducted on this model, this paper estimates systematic risk as derived from the extended mean Gini model for a sample of Australian companies and compares the empirical security market line with the predicted extended mean Gini security market line. (reproduced by permission of the publisher)

Risk assessment, Capital assets pricing model, Capital asset pricing model, Gini coefficient

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The time series properties of Australian accounting data

Article Abstract:

This paper reports the results of an examination of the time series properties of a range of accounting numbers and ratios which may be associated with firm valuation. The work extends earlier research, which has concentrated on earnings or its derivatives, and which has found that earnings numbers follow a random walk or similar stochastic process. The tests reported in this paper suggested that, during the 25 year period studied, annual changes in a wide range of accounting variables also were, for the most part, random. Significant departures from randomness occurred only in variables where there were a priori reasons for believing that serial dependence would exist. (Reprinted by permission of the publisher.)

Australia, Accounting and auditing, Accounting, Time-series analysis, Time series analysis

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