Author(s)

Rui Gao, Zhiping Chen

School of Mathematics and statistics, Xi’an Jiaotong University, Xi’an, China.

We construct a new time consistent dynamic convex cash-subadditive risk measure in this paper. Different from exist-ing measures, both potential loss and volatility of risky objects are considered. Based on a one-period measure that dis-torts financial values, punishes downside risk yet rewards upside potential, a dynamic time consistent version is con-structed recursively through a modified translation property. We then establish a portfolio selection model and give its optimal condition.

Dynamic Risk Measure; Time-Consistent; Cash-Subadditive; Portfolio Optimization; Stochastic Programming

R. Gao and Z. Chen, "A New Class of Time-Consistent Dynamic Risk Measures and its Application," Technology and Investment, Vol. 4 No. 1B, 2013, pp. 36-41. doi: 10.4236/ti.2013.41B008.