Second-Order Asymptotics of the Risk Concentration of a Portfolio with Deflated Risks

Joint Authors

Chen, Yu
Gao, Yu
Gao, Wenxue
Zhang, Weiping

Source

Mathematical Problems in Engineering

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-04-17

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

The quantification of diversification benefits due to risk aggregation has received more attention in the recent literature.

In this paper, we establish second-order asymptotics of the risk concentration based on several risk measures for a portfolio of n identically distributed but dependent deflated risks Xj=RjS, j=1,2,…,n under the assumptions of second-order regular variation on the survival functions of the risks Rj and the deflator S, where R1,R2,…,Rn are n independent and identically distributed random variables with a common survival function and S is a random variable being independent of R1,R2,…,Rn.

Examples are also given to illustrate our main results.

American Psychological Association (APA)

Chen, Yu& Gao, Yu& Gao, Wenxue& Zhang, Weiping. 2018. Second-Order Asymptotics of the Risk Concentration of a Portfolio with Deflated Risks. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207593

Modern Language Association (MLA)

Chen, Yu…[et al.]. Second-Order Asymptotics of the Risk Concentration of a Portfolio with Deflated Risks. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1207593

American Medical Association (AMA)

Chen, Yu& Gao, Yu& Gao, Wenxue& Zhang, Weiping. Second-Order Asymptotics of the Risk Concentration of a Portfolio with Deflated Risks. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1207593

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1207593