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The Basel II internal ratings-based (IRB) approach to capital adequacy for credit risk plays an important role in protecting the Australian banking sector against insolvency. We outline the mathematical foundations of regulatory capital for…

Risk Management · Quantitative Finance 2016-07-26 Marek Rutkowski , Silvio Tarca

Regulatory requirements dictate that financial institutions must calculate risk capital (funds that must be retained to cover future losses) at least annually. Procedures for doing this have been well-established for many years, but recent…

Computational Finance · Quantitative Finance 2017-05-22 Peter Mitic

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

With the increasing complexity of financial markets and rapid growth in data volume, traditional risk monitoring methods no longer suffice for modern financial institutions. This paper designs and optimizes a risk monitoring system based on…

Machine Learning · Computer Science 2024-07-30 Liyang Wang , Yu Cheng , Xingxin Gu , Zhizhong Wu

Typically, operational risk losses are reported above a threshold. Fitting data reported above a constant threshold is a well known and studied problem. However, in practice, the losses are scaled for business and other factors before the…

Risk Management · Quantitative Finance 2009-07-31 Pavel V. Shevchenko , Grigory Temnov

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

Risk Management · Quantitative Finance 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

A new procedure is presented for the objective comparison and evaluation of default definitions. This allows the lender to find a default threshold at which the financial loss of a loan portfolio is minimised, in accordance with Basel II.…

Risk Management · Quantitative Finance 2021-03-01 Arno Botha , Conrad Beyers , Pieter de Villiers

Operational risk is the risk relative to monetary losses caused by failures of bank internal processes due to heterogeneous causes. A dynamical model including both spontaneous generation of losses and generation via interactions between…

Risk Management · Quantitative Finance 2012-07-27 Marco Bardoscia

Risk allocation, the decomposition of a portfolio-wide risk measure into component contributions, is a fundamental problem in financial risk management due to the non-additive nature of risk measures, the layered organizational structures…

Risk Management · Quantitative Finance 2025-12-25 Marco Scaringi , Marco Bianchetti

The interconnectedness of financial institutions affects instability and credit crises. To quantify systemic risk we introduce here the PD model, a dynamic model that combines credit risk techniques with a contagion mechanism on the network…

Computational Finance · Quantitative Finance 2018-04-10 Daniele Petrone , Vito Latora

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

In order to properly manage risk, practitioners must understand the aggregate risks they are exposed to. Additionally, to properly price policies and calculate bonuses the relative riskiness of individual business units must be well…

Risk Management · Quantitative Finance 2024-10-22 Andrew Fleck , Edward Furman , Yang Shen

We consider a financial intermediary managing assets and liabilities exposed to several risk sources and seeking an optimal portfolio strategy to minimise the initial capital invested and the total risk associated with investment losses and…

Optimization and Control · Mathematics 2025-05-23 Giorgio Consigli , Darinka Dentcheva , Francesca Maggioni , Giovanni Micheli

Research capacity is critical in understanding systemic risk and informing new regulation. Banking regulation has not kept pace with all the complexities of financial innovation. The academic literature on systemic risk is rapidly…

Computational Engineering, Finance, and Science · Computer Science 2013-10-25 Antoaneta Sergueiva

The dependency structure of credit risk parameters is a key driver for capital consumption and receives regulatory and scientific attention. The impact of parameter imperfections on the quality of expected loss (EL) in the sense of a fair,…

Risk Management · Quantitative Finance 2013-10-03 Wolfgang Reitgruber

The Basel II Accords have sparked increased interest in the development of approaches based on internal ratings systems and have initiated the elaboration of models for remote ratings forecasts based on external ones as part of Risk…

Economics · Quantitative Finance 2016-07-11 Alexander Karminsky

We study the variability of a risk from the statistical viewpoint of multimodality of the conditional loss distribution given that the aggregate loss equals an exogenously provided capital. This conditional distribution serves as a building…

Risk Management · Quantitative Finance 2020-11-19 Takaaki Koike , Marius Hofert

Operational risk is challenging to quantify because of the broad range of categories (fraud, technological issues, natural disasters) and the heavy-tailed nature of realized losses. Operational risk modeling requires quantifying how these…

Applications · Statistics 2023-06-29 Maurice L. Brown , Cheng Ly

Digitalization and servitization are impacting many domains, including the mining industry. As the equipment becomes connected and technical infrastructure evolves, business models and risk management need to adapt. In this paper, we…

Software Engineering · Computer Science 2019-07-22 Thomas Olsson , Ulrik Franke

This paper proposes a dynamic process of portfolio risk measurement to address potential information loss. The proposed model takes advantage of financial big data to incorporate out-of-target-portfolio information that may be missed when…

Risk Management · Quantitative Finance 2022-02-17 Kwangmin Jung , Donggyu Kim , Seunghyeon Yu