A new class of coherent risk measures based on p-norms and their applications

作者：Chen Zhiping^*; Wang Yi

来源：Applied Stochastic Models in Business and Industry, 2007, 23(1): 49-62.

DOI：10.1002/asmb.636

• risk management
• coherent risk measure
• p-norms
• CVaR
• portfolio optimization

To exercise better control on the lower tail of the loss distribution and to easily describe the investor's risk attitude, a new class of coherent risk measures is proposed in this paper by taking the minimization of p-norms of lower losses with respect to some reference point. We demonstrate that the new risk measure has satisfactory mathematical properties such as convexity, continuity with respect to parameters included in its definition, the relations between two new risk measures are also examined. The application of the new risk measures for optimal portfolio selection is illustrated by using trade data from the Chinese stock markets. Empirical results not only support our theoretical conclusions, but also show the practicability of the portfolio selection model with our new risk measures.

• 出版日期2007-2
• 单位西安交通大学