Author(s)

Tianmin Zhou

School of Systems Science, Beijing Normal University, Beijing, China.

This paper presents a method of portfolio selection for reducing co-related risks. Differing from the Markowitz’s mean-variance framework, we use the joint probability of co-movement of multi-assets (JPCM) as a measure of risks, and under the condition of minimizing the JPCM, we pinpoint the optimal portfolio by optimizing the JPCM matrix of paired assets. At the same time, we use the shape parameter of generalized error distribution (GED) to measure the tail shapes of different portfolios. The empirical results for China’s stock market show that the JPCM portfolios significantly outperform naive-diversified portfolios (1/N-rule) and minimum-variance (MV) in terms of the tail shape of portfolio distribution.

Portfolio Selection, Mean-Variance, Joint Probability Density, Cross-Entropy Approach

Zhou, T. (2018) A Method for Portfolio Selection Based on Joint Probability of Co-Movement of Multi-Assets. Journal of Mathematical Finance, 8, 535-548. doi: 10.4236/jmf.2018.83034.