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http://dx.doi.org/10.5351/CKSS.2008.15.5.697

A Study on VaR Stability for Operational Risk Management  

Kim, Hyun-Joong (Department of Applied Statistics, Yonsei University)
Kim, Woo-Hwan (Yonsei Institute of Statistical Science)
Lee, Sang-Cheol (Department, Korea Exchange Bank)
Im, Jong-Ho (Department of Applied Statistics, Yonsei University)
Cho, Sang-Hee (Department of Statistics, Yale University)
Kim, Ah-Hyoun (Department of Applied Statistics, Yonsei University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.5, 2008 , pp. 697-708 More about this Journal
Abstract
Operational risk is defined as the risk of loss resulting from inadequate or failed internal processes, people and systems, or external events. The advanced measurement approach proposed by Basel committee uses loss distribution approach(LDA) which quantifies operational loss based on bank's own historical data and measurement system. LDA involves two distribution fittings(frequency and severity) and then generates aggregate loss distribution by employing mathematical convolution. An objective validation for the operational risk measurement is essential because the operational risk measurement allows flexibility and subjective judgement to calculate regulatory capital. However, the methodology to verify the soundness of the operational risk measurement was not fully developed because the internal operational loss data had been extremely sparse and the modeling of extreme tail was very difficult. In this paper, we propose a methodology for the validation of operational risk measurement based on bootstrap confidence intervals of operational VaR(value at risk). We derived two methods to generate confidence intervals of operational VaR.
Keywords
Loss distribution approach; validation; operational VaR; bootstrap; stability;
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  • Reference
1 Bank for International Settlements (2005). Basel II: International Convergence of Capital Measurement and Capital Standards: a revised framework, Bank for International Settlements, Basel, Switzerland
2 Chernobai, A., Menn, C., Trueck, S. and Rachev, S. (2004). A Note on the Estimation of the Frequency and Severity Distribution of Operational Losses, Applied Probability Trust, Technical Paper, Available from: http://ssrn.com/abstract=675936
3 De Fontnouvelle, P., De Jesus-Rueff , V., Jordan, J. S. and Rosengren, E. S. (2003). Using Loss Data to Quantify Operational Risk, Technical Paper, Available from: http://ssrn.com/abstract=395083
4 Shao, J. and Tu, D. (1995). The Jackknife and Bootstrap, Springer, New York
5 Walker A. M. (1968). A note on the asymptotic distribution of sample quantiles, Journal of the Royal Statistical Society, Series B, 30, 570-575
6 Cruz, M. G. (2004). Operational Risk Modelling and Analysis: Theory and Practice, Risk Books, London
7 금융감독원 (2005). 운영리스크 고급측정법 세부지침 , 금융감독원 신BIS실, 서울
8 금융감독원 (2006). 알기 쉬운 신BIS(제2편: 운영리스크/필라2/필라3), 금융감독원 신BIS실, 서울
9 선우석호, 전은영 (2006). 운영 리스크 추정과 손실분포 적합성 검증 , 한국금융연구원 금융조사보고서
10 조하현, 김현중 (2006). 운영리스크 고급측정법 모형의 양적 및 질적 적합성 검정 세부 기준 마련을 위한 연구 , 금융감독원 연구보고서
11 조하현, 이승국, 김종호 (2004). 운영 리스크 측정과 관리, 세경사, 서울