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Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach allows a provision for reduction of capital as a result of insurance mitigation of up to 20%. This paper studies the behaviour of different insurance…

Risk Management · Quantitative Finance 2010-11-04 Gareth W. Peters , Aaron D. Byrnes , Pavel V. Shevchenko

We set the context for capital approximation within the framework of the Basel II / III regulatory capital accords. This is particularly topical as the Basel III accord is shortly due to take effect. In this regard, we provide a summary of…

Risk Management · Quantitative Finance 2013-03-13 Gareth W. Peters , Rodrigo S. Targino , Pavel V. Shevchenko

The management of operational risk in the banking industry has undergone significant changes over the last decade due to substantial changes in operational risk environment. Globalization, deregulation, the use of complex financial products…

Risk Management · Quantitative Finance 2014-05-22 Pavel V. Shevchenko , Gareth W. Peters

To quantify the operational risk capital charge under the current regulatory framework for banking supervision, referred to as Basel II, many banks adopt the Loss Distribution Approach. There are many modeling issues that should be resolved…

Risk Management · Quantitative Finance 2010-06-15 Pavel V. Shevchenko

Accurate modeling of operational risk is important for a bank and the finance industry as a whole to prepare for potentially catastrophic losses. One approach to modeling operational is the loss distribution approach, which requires a bank…

Risk Management · Quantitative Finance 2021-07-09 Daniel Hadley , Harry Joe , Natalia Nolde

To quantify an operational risk capital charge under Basel II, many banks adopt a Loss Distribution Approach. Under this approach, quantification of the frequency and severity distributions of operational risk involves the bank's internal…

Risk Management · Quantitative Finance 2009-04-09 Dominik D. Lambrigger , Pavel V. Shevchenko , Mario V. Wüthrich

We propose a dynamical model for the estimation of Operational Risk in banking institutions. Operational Risk is the risk that a financial loss occurs as the result of failed processes. Examples of operational losses are the ones generated…

Risk Management · Quantitative Finance 2012-02-14 Marco Bardoscia , Roberto Bellotti

The largest US banks are required by regulatory mandate to estimate the operational risk capital they must hold using an Advanced Measurement Approach (AMA) as defined by the Basel II/III Accords. Most use the Loss Distribution Approach…

Risk Management · Quantitative Finance 2014-12-01 J. D. Opdyke

In this paper we study a class of insurance products where the policy holder has the option to insure $k$ of its annual Operational Risk losses in a horizon of $T$ years. This involves a choice of $k$ out of $T$ years in which to apply the…

Risk Management · Quantitative Finance 2013-12-03 Rodrigo S. Targino , Gareth W. Peters , Georgy Sofronov , Pavel V. Shevchenko

Bank operational risk capital modeling using the Basel II advanced measurement approach (AMA) often lead to a counter-intuitive capital estimate of value at risk at 99.9% due to extreme loss events. To address this issue, a flexible…

General Economics · Economics 2022-07-04 Heng Z. Chen , Stephen R. Cosslett

We introduce a statistical model for operational losses based on heavy-tailed distributions and bipartite graphs, which captures the event type and business line structure of operational risk data. The model explicitly takes into account…

Risk Management · Quantitative Finance 2019-02-11 Oliver Kley , Claudia Klüppelberg , Sandra Paterlini

In this article we consider an aggregate loss model with dependent losses. The losses occurrence process is governed by a two-state Markovian arrival process (MAP2), a Markov renewal process process that allows for (1) correlated…

Risk Management · Quantitative Finance 2024-02-06 Pepa Ramírez-Cobo , Emilio Carrizosa , Rosa Elvira Lillo

Doubly-stochastic point processes model the occurrence of events over a spatial domain as an inhomogeneous Poisson process conditioned on the realization of a random intensity function. They are flexible tools for capturing spatial…

Methodology · Statistics 2024-06-28 Si Cheng , Jon Wakefield , Ali Shojaie

Recently, Basel Committee for Banking Supervision proposed to replace all approaches, including Advanced Measurement Approach (AMA), for operational risk capital with a simple formula referred to as the Standardised Measurement Approach…

Risk Management · Quantitative Finance 2016-09-15 Gareth W. Peters , Pavel V. Shevchenko , Bertrand Hassani , Ariane Chapelle

According to the Loss Distribution Approach, the operational risk of a bank is determined as 99.9% quantile of the respective loss distribution, covering unexpected severe events. The 99.9% quantile can be considered a tail event. As…

Risk Management · Quantitative Finance 2015-03-17 Nataliya Horbenko , Peter Ruckdeschel , Taehan Bae

We present an easily implemented, fast, and accurate method for approximating extreme quantiles of compound loss distributions (frequency+severity) as are commonly used in insurance and operational risk capital models. The Interpolated…

Risk Management · Quantitative Finance 2017-07-20 J. D. Opdyke

The beta distribution serves as a canonical tool for modeling probabilities in statistics and machine learning. However, there is limited work on flexible and computationally convenient stochastic process extensions for modeling dependent…

Methodology · Statistics 2025-03-18 Changwoo J. Lee , Alessandro Zito , Huiyan Sang , David B. Dunson

To meet the Basel II regulatory requirements for the Advanced Measurement Approaches, the bank's internal model must include the use of internal data, relevant external data, scenario analysis and factors reflecting the business environment…

Risk Management · Quantitative Finance 2009-04-08 P. V. Shevchenko , M. V. Wüthrich

Several researchers have described two-part models with patient-specific stochastic processes for analysing longitudinal semicontinuous data. In theory, such models can offer greater flexibility than the standard two-part model with…

Applications · Statistics 2017-03-28 Sean Yiu , Brian Tom

Training in unsupervised time series anomaly detection is constantly plagued by the discrimination between harmful `anomaly contaminations' and beneficial `hard normal samples'. These two samples exhibit analogous loss behavior that…

Machine Learning · Computer Science 2026-03-17 Ruyi Zhang , Hongzuo Xu , Songlei Jian , Yusong Tan , Haifang Zhou , Rulin Xu
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