Document Type : Original Article
Authors
1 Department of Industrial Management & Economic, Science and Research Branch
2 Department of Accounting, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 Department of Industrial Engineering, Firoozkoh Branch, Islamic Azad University, Firoozkoh, Iran
4 Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abstract
Purpose:
This research aims to construct a portfolio based on risk-adjusted performance and distribution-based returns and determine the efficiency using the data envelopment analysis (DEA) approach. In this study, the role of return distribution in the efficiency of risky assets is also examined to form a diversified portfolio consisting of assets with varying degrees of performance.
Methodology:
In this study, the diversified portfolio's performance based on the risk-adjusted value and conditional risk-adjusted value obtained from the probability distributions of returns was compared with the minimum-variance Markowitz portfolio performance in terms of the Sharpe ratio. After estimating the maximum likelihood parameters of the model, the risk values for each stock were calculated based on the empirical return distribution, the Cauchy distribution, and the normal distribution. These risk values were then used in the data envelopment analysis to calculate the efficiency scores of each company.
Findings:
The diversified portfolio with stock performance degrees outperforms the minimum-variance Markowitz portfolio in terms of risk-adjusted and conditional risk-adjusted values. The probability distribution of returns leads to different results in calculating stock risk-adjusted value/conditional value, with the empirical return distribution and normal distribution providing a more desirable performance (in terms of the Sharpe ratio) compared to the Cauchy distribution and sample ratios.
Originality/Value:
In the literature, an efficient portfolio is usually formed by calculating asset weights in the stock basket so that the Sharpe ratio reaches its maximum value. In the current study, this hypothesis is challenged in favor of the proposed method, which estimates portfolio weights based on the efficiency of risky assets.
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