Takashi Kato. Theoretical Sensitivity Analysis for Quantitative Operational Risk Management
Social Sciences / Economics / Financial
Submitted on: Jun 24, 2012, 22:53:29
Description: We study the asymptotic behaviour of the difference between the Value at Risks VaR(L) and VaR(L + S) for heavy tailed random variables L and S with alpha ^ 1 as an application to the sensitivity analysis of quantitative operational risk management in the framework of an advanced measurement approach (AMA) of Basel II. Here the variable L describes the loss amount of the present risk profile and S means the loss amount caused by an additional loss factor. We have different types of results according to the magnitude of the relationship of the thicknesses of the tails of L and S. Especially if the tail of S is sufficiently thinner than that of L, then the difference between prior and posterior risk amounts VaR(L + S) - VaR(L) is asymptotically equivalent to the component VaR of S (which is equal to the expected loss of S when L and S are independent).
The full-text article has been published in the "IntellectualArchive" journal , Vol.1, Num.2, June 2012, ISSN 1929-4700.