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Frontiers of Economics in China

ISSN 1673-3444

ISSN 1673-3568(Online)

CN 11-5744/F

Postal Subscription Code 80-978

Front. Econ. China    2020, Vol. 15 Issue (1) : 124-139    https://doi.org/10.3868/s060-011-020-0006-4
Orginal Article
A Global-Optimal Portfolio Theory beyond the R-σ Model
Yifan Liu1, Shi-Dong Liang2()
1. School of Physics, and State Key Laboratory of Optoelectronic Material and Technology, Sun Yat-sen University, Guangzhou 510275, China; School of Economics, Fudan University, Shanghai 200433, China
2. School of Physics, and State Key Laboratory of Optoelectronic Material and Technology, Sun Yat-sen University, Guangzhou 510275, China
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Abstract

Deviations from the efficient market hypothesis allow us to benefit from risk premium in financial markets. We propose a three-pronged (R, σ, H) theory to generalize the (R, σ) model and present the formulation of a three-pronged (R, σ, H) model and its Pareto-optimal solution. We define the local-optimal weights (wR, wσ,wH) that construct the triangle of the quasi-optimal investing subspace and further define the centroid or incenter of the triangle as the optimal investing weights that optimize the mean return, risk premium, and volatility risk. By numerically investigating the Chinese stock market, we demonstrate the validity of this formulation method. The proposed theory provides investors of different styles (conservative or aggressive) an efficient way to design portfolios in financial markets to maximize the mean return while minimizing the volatility risk.

Keywords portfolio      R-σ model      Hurst exponent      risk premium      volatility      Chinese stock market     
Issue Date: 18 April 2020
 Cite this article:   
Yifan Liu,Shi-Dong Liang. A Global-Optimal Portfolio Theory beyond the R-σ Model[J]. Front. Econ. China, 2020, 15(1): 124-139.
 URL:  
http://academic.hep.com.cn/fec/EN/10.3868/s060-011-020-0006-4
http://academic.hep.com.cn/fec/EN/Y2020/V15/I1/124
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