In this paper, we introduce a new class of risk measures and the corresponding risk minimizing portfolio optimization problem. Instead of measuring the expected deviation of a daily return from a single target value, we propose to measure its deviation from a range of values centered on the...

Purpose With the development of the economy, an increasing number of listed companies form subsidiaries in China. Though the increase in the number of subsidiaries affects the hierarchical structure and risk of conglomerates, few studies relate the hierarchical relationship between the parent...