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Measuring Economic Capital: Value-at-Risk, Expected Shortfall and Copula Approach
Year Of Publication: 2011
Month Of Publication: May
Pages: 43
Download Count: 13
View Count: 1805
Comment Num: 0
Language: English
Source: working paper
Who Can Read: Free
Date: 5-22-2011
Publisher: Administrator
Summary
It is important to incorporate diverse heavy-tailed dependency between risks in estimating economic capital. Copulas can be a useful technique to capture dependence structure where extreme events occur simultaneously. Using the sample of U.S. property liability insurance industry, we examine the impact of different dependence structure between market risk and underwriting risk of insurance portfolio on the economic capital measured by Value-at-Risk (VaR) and Expected Shortfall (ES). We identify the type of copula that best fits the given application data and perform a goodness of fit test to assess the adequacy of the copula model selected. The results suggest that the grouped t copula is better performed than the standard t copula to describe the dependence structure in an insurance setting where different type of risk factors coexists. The result also shows the incremental diversification benefit in the joint modeling of underwriting risk and market risk compared to the modeling of market risk only considered, indicating that both risks diversify against one another to some degree.
Author(s)
Shim, Jeungbo Sign in to follow this author
Lee, Seung-Hwan Sign in to follow this author
MacMinn, Richard Sign in to follow this author
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