Risk Evaluation and Capital Allocation Based on TVaR and EVaR with Copula
Received:November 01, 2010  Revised:January 13, 2011
Key Words: capital allocation   tail value of risk   exponential tail value of risk   copula.  
Fund Project:Supported by the National Natural Sciences Foundation of China (Grant No.61175041), the Funds of Doctoral Programme of China (Grant No.2010041110036), the Fundamental Research Funds for the Central Universities (Grant Nos.DUT12LK16; DUT12LK29) and the Funds for Frontier Interdisciplines of DUT (Grant Nos.DUT12JS05; DUT10JS06).
Author NameAffiliation
Jinghai FENG School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Lixin SONG School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Zhineng FU School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, the expressions of tail value of risk (TVaR) and exponential tail value of risk (EVaR) for the total risk portfolio are given, which are splitted into two cases: the bivariate case and the multivariate case according to the number of the insurances. Then the risk contributions of the insurances portfolio and the credit portfolio are also obtained. Further more, for clarifying the above results, a numerical example is given.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.03.010
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