Aggregation of Dynamic Risk Measures in Financial Management

This paper discusses aggregation of dynamic risks in financial management. The total risks in dynamic systems are usually estimated from risks at each time. This paper discusses what kind of aggregation methods are possible for dynamic risks. Coherent risk measures and their possible aggregation methods are investigated. This paper presents aggregation of dynamic coherent risks by use of generalized deviations. A few examples are also given.

[1]  J. Aczél.  On mean values , 1948 .

[2]  Phhilippe Jorion.  Value at Risk: The New Benchmark for Managing Financial Risk , 2000 .

[3]  D. Tasche,et al.  Expected shortfall and beyond , 2002, cond-mat/0203558.

[4]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[5]  V. Torra.  The weighted OWA operator , 1997, International Journal of Intelligent Systems.

[6]  Yuji Yoshida.  A Dynamic Risk Allocation of Value-at-Risks with Portfolios , 2012, J. Adv. Comput. Intell. Intell. Informatics.

[7]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[8]  R. Rockafellar,et al.  Generalized Deviations in Risk Analysis , 2004 .