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We introduce a dynamic model of the default waterfall of derivatives CCPs and propose a risk sensitive method for sizing the initial margin (IM), and the default fund (DF) and its allocation among clearing members. Using a Markovian…

Risk Management · Quantitative Finance 2018-03-07 Tomasz R. Bielecki , Igor Cialenco , Shibi Feng

The aim of this paper is to quantify and manage systemic risk caused by default contagion in the interbank market. We model the market as a random directed network, where the vertices represent financial institutions and the weighted edges…

Risk Management · Quantitative Finance 2021-01-18 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

In this paper, we study mid-cap companies, i.e. publicly traded companies with less than US $10 billion in market capitalisation. Using a large dataset of US mid-cap companies observed over 30 years, we look to predict the default…

General Finance · Quantitative Finance 2024-05-13 Kamesh Korangi , Christophe Mues , Cristián Bravo

It is a well known fact that local scale invariance plays a fundamental role in the theory of derivative pricing. Specific applications of this principle have been used quite often under the name of `change of numeraire', but in recent work…

Condensed Matter · Physics 2007-05-23 Jiri Hoogland , Dimitri Neumann , Michel Vellekoop

The existence of asymmetric information has always been a major concern for financial institutions. Financial intermediaries such as commercial banks need to study the quality of potential borrowers in order to make their decision on…

Statistical Finance · Quantitative Finance 2017-07-05 Jinglun Yao , Maxime Levy-Chapira , Mamikon Margaryan

We consider the problem of detecting jumps in an otherwise smoothly evolving trend whilst the covariance and higher-order structures of the system can experience both smooth and abrupt changes over time. The number of jump points is allowed…

Methodology · Statistics 2023-12-27 Weichi Wu , Zhou Zhou

We study an optimal investment problem under contagion risk in a financial model subject to multiple jumps and defaults. The global market information is formulated as a progressive enlargement of a default-free Brownian filtration, and the…

Probability · Mathematics 2013-02-22 Ying Jiao , Idris Kharroubi , Huyên Pham

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

Risk Management · Quantitative Finance 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

In this article we extend earlier work on the jump-diffusion risk-sensitive asset management problem [SIAM J. Fin. Math. (2011) 22-54] by allowing jumps in both the factor process and the asset prices, as well as stochastic volatility and…

Portfolio Management · Quantitative Finance 2012-09-12 Mark Davis , Sebastien Lleo

In this paper, we deal with an axiomatic approach to default risk. We introduce the notion of a default risk measure, which generalizes the classical probability of default (PD), and allows to incorporate model risk in various forms. We…

Mathematical Finance · Quantitative Finance 2023-09-21 Max Nendel , Jan Streicher

Mixed Probit models are widely applied in many fields where prediction of a binary response is of interest. Typically, the random effects are assumed to be independent but this is seldom the case for many real applications. In the credit…

Applications · Statistics 2019-11-18 Elisa Tosetti , Veronica Vinciotti

Default risk calculus plays a crucial role in portfolio optimization when the risky asset is under threat of bankruptcy. However, traditional stochastic control techniques are not applicable in this scenario, and additional assumptions are…

Portfolio Management · Quantitative Finance 2023-05-10 José A. Salmerón , Giulia Di Nunno , Bernardo D'Auria

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

The probability of default (PD) estimation is an important process for financial institutions. The difficulty of the estimation depends on the correlations between borrowers. In this paper, we introduce a hierarchical Bayesian estimation…

Statistical Finance · Quantitative Finance 2020-05-19 Masato Hisakado , Shintaro Mori

Interbank contagion can theoretically exacerbate losses in a financial system and lead to additional cascade defaults during downturn. In this paper we produce default analysis using both regression and neural network models to verify…

Risk Management · Quantitative Finance 2020-05-29 Riccardo Doyle

We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest…

Mathematical Finance · Quantitative Finance 2018-01-19 Damien Ackerer , Thibault Vatter

A possible data source for the estimation of asset correlations is default time series. This study investigates the systematic error that is made if the exposure pool underlying a default time series is assumed to be homogeneous when in…

Risk Management · Quantitative Finance 2019-09-12 Christoph Wunderer

Jump diffusion processes are widely used to model asset prices over time, mainly for their ability to capture complex discontinuous behavior, but inference on the model parameters remains a challenge. Here our goal is posterior inference on…

Methodology · Statistics 2017-02-23 Ryan Martin , Cheng Ouyang , Francois Domagni

In this paper, we study a continuous time structural asset value model for two correlated firms using a two-dimensional Brownian motion. We consider the situation of incomplete information, where the information set available to the market…

Mathematical Finance · Quantitative Finance 2016-01-28 Wai-Ki Ching , Jia-Wen Gu , Harry Zheng

We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events…

Risk Management · Quantitative Finance 2015-03-20 Simone Farinelli , Mykhaylo Shkolnikov