Risk Measures and Risk Capital Allocation
Abstract
The fundamental problem of the portfolio/risk management is the measurementm and the allocation of risk. Various risk measures provide a solution to the former problem. However, in the recent decade’s risk measures have been criticised dramatically and a new concept so called ’coherent risk measures’ have been arisen. In the meantime allocation distributes the diversification benefits among the constituents of the portfolio. We show that risk allocation can provide a better risk management if one pays the necessary attention for the choice of the risk measure and the allocation method.
Keywords
References
- P. Artzner, F. Delbaen, J.M. Eber, and D. Heath, 1997, Thinking coherently. RISK, 10:68-71.
- P. Artzner, F. Delbaen, J.M. Eber, and D. Heath, 1999, Coherent measures of risk, Mathematical Finance, 9-3: 203-228.
- J-P. Aubin, 1979, Mathematical Methods of Game and Economic Theory, North-Holland Publishing Co., Amsterdam.
- J-P. Aubin, 1981, Cooperative fuzzy games, Mathematics of Operations and Research, 6-1:1-13.
- R. J. Aumann and L. S. Shapley, 1974, Values of Non-Atomic Games, Princeton University Press, Princeton.
- A. Buch and G. Dorfleitner, 2008, Coherent risk measure, coherent capital allocations and the gradient allocation principle, Insurance: Mathematics and Economics, 42:235-242.
- A. Buch, G. Dorfleitner, and M. Wimmer, 2009, Rethinking risk capital allocation in a rorac framework.
- J.D. Cummins, 2000, Allocation of capital in the insurance industry, Risk Management & Insurance Review, 3:7-27.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Publication Date
June 1, 2012
Submission Date
April 4, 2012
Acceptance Date
-
Published in Issue
Year 2012 Volume: 5 Number: 2