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most citedCalculating credit risk capital charges with the one-factor model

78 citations

13 papers

cs.LG2025★ 6 cited

Diffusion-Scheduled Denoising Autoencoders for Anomaly Detection in Tabular Data

Timur Sattarov, Marco Schreyer, Damian Borth

Anomaly detection in tabular data remains challenging due to complex feature interactions and the scarcity of anomalous examples. Denoising autoencoders rely on fixed-magnitude noi…

q-fin.ST2017★ 12 cited

A Structural Model for Fluctuations in Financial Markets

Kartik Anand, Jonathan Khedair, Reimer Kuehn

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form…

math.CO2016

Unimodular triangulations of simplicial cones by short vectors

Michael von Thaden, Winfried Bruns

We establish a bound for the length of vectors involved in a unimodular triangulation of simplicial cones. The bound is exponential in the square of the logarithm of the multiplici…

q-fin.RM2015

Dynamic Interaction Between Asset Prices and Bank Behavior: A Systemic Risk Perspective

Aki-Hiro Sato, Paolo Tasca, Takashi Isogai

Systemic risk in banking systems remains a crucial issue that it has not been completely understood. In our toy model, banks are exposed to two sources of risks, namely, market ris…

econ.GN2014★ 26 cited

Contagious Synchronization and Endogenous Network Formation in Financial Networks

Christoph Aymanns, Co-Pierre Georg

When banks choose similar investment strategies the financial system becomes vulnerable to common shocks. We model a simple financial system in which banks decide about their inves…

math.PR2011

Affine processes on positive semidefinite d x d matrices have jumps of finite variation in dimension d > 1

Eberhard Mayerhofer

The theory of affine processes on the space of positive semidefinite d x d matrices has been established in a joint work with Cuchiero, Filipović and Teichmann (2011). We confirm t…

math.PR2010★ 1 cited

On the existence of non-central Wishart distributions

Eberhard Mayerhofer

This paper deals with the existence issue of non-central Wishart distributions which is a research topic initiated by Wishart (1928), and with important contributions by e.g., Lévy…

cond-mat.other2003★ 78 cited

Calculating credit risk capital charges with the one-factor model

Susanne Emmer, Dirk Tasche

Even in the simple one-factor credit portfolio model that underlies the Basel II regulatory capital rules coming into force in 2007, the exact contributions to credit value-at-risk…

cond-mat2002★ 6 cited

Remarks on the monotonicity of default probabilities

Dirk Tasche

The consultative papers for the Basel II Accord require rating systems to provide a ranking of obligors in the sense that the rating categories indicate the creditworthiness in ter…

cond-mat2002★ 8 cited

Credit Risk Contributions to Value-at-Risk and Expected Shortfall

Alexandre Kurth, Dirk Tasche

This paper presents analytical solutions to the problem of how to calculate sensible VaR (Value-at-Risk) and ES (Expected Shortfall) contributions in the CreditRisk+ methodology. V…

cond-mat.stat-mech2002

A shortcut to sign Incremental Value-at-Risk for risk allocation

Dirk Tasche, Luisa Tibiletti

Approximate Incremental Value-at-Risk formulae provide an easy-to-use preliminary guideline for risk allocation. Both the cases of risk adding and risk pooling are examined and bet…

cond-mat2002★ 22 cited

Expected Shortfall and Beyond

Dirk Tasche

Financial institutions have to allocate so-called "economic capital" in order to guarantee solvency to their clients and counter parties. Mathematically speaking, any methodology o…

cond-mat.stat-mech2001★ 15 cited

On the coherence of Expected Shortfall

Carlo Acerbi, Dirk Tasche

Expected Shortfall (ES) in several variants has been proposed as remedy for the defi-ciencies of Value-at-Risk (VaR) which in general is not a coherent risk measure. In fact, most…