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A Copula-Extreme Value Theory Approach for Modelling Operational Risk
Year Of Publication: 2003
Month Of Publication: September
Pages: 18
Download Count: 3107
View Count: 14929
Comment Num: 0
Language: EN
Who Can Read: Free
Date: 9-30-2003
Publisher: Administrator
The object of this work is to present a model for measuring the operational risk of a bank. This model utilizes a Monte Carlo simulation in order to determine the lossdistribution and the relative risk measures like Value-at-Risk (VaR) or ExpectedShortfall. The methodology presented in this work is based on a frequency/severitymodel traditionally used in the actuarial sciences for modelling the loss distribution in damage insurances. In particular, the severity for each business line/risk type ismodelled through a distribution log-normal in the centre and in the left tail, while theright tail is built using the principles of Extreme Value Theory. In this way, we mayefficiently model the right tail of the distribution which more affects the risk measures,avoiding every possible underestimate of risk. Moreover, while most of the traditionalmodels assume a perfect dependence of the losses among each risk type, and calculatethe total VaR by simply summing the VaRs of each business line/risk type, weexplicitly consider a more realistic dependence structure using copula functions. In this way we may reduce the capital requirement. We implement the model to catastrophe insurance loss data of three different business lines and compare the resultant risk measures with the ones calculated assuming both a simple log-normal distribution for the loss severity and a perfect dependence among the losses of the three business lines.
Di Clemente, Annalisa Sign in to follow this author
Romano, Claudio Sign in to follow this author
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