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We develop a model for point processes on the real line, where the intensity can be locally unbounded without inducing an explosion. In contrast to an orderly point process, for which the probability of observing more than one event over a…

Econometrics · Economics 2026-01-16 Kim Christensen , Alexei Kolokolov

We propose and analyze numerically a simple dynamical model that describes the firm behaviors under uncertainty of demand forecast. Iterating this simple model and varying some parameters values we observe a wide variety of market dynamics…

General Finance · Quantitative Finance 2017-11-22 Asaf Levi , Juan Sabuco , Miguel A. F. Sanjuan

The current global financial system forms a highly interconnected network where a default in one of its nodes can propagate to many other nodes, causing a catastrophic avalanche effect. In this paper we consider the problem of reducing the…

Optimization and Control · Mathematics 2022-07-05 Giuseppe Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

This paper characterizes the probability of a market failure defined as the default of two or more globally systemically important banks (G-SIBs) in a small interval of time. The default probabilities of the G-SIBs are correlated through…

Mathematical Finance · Quantitative Finance 2022-12-27 Robert Jarrow , Philip Protter , Alejandra Quintos

Since the Great Financial Crisis (GFC), the use of stress tests as a tool for assessing the resilience of financial institutions to adverse financial and economic developments has increased significantly. One key part in such exercises is…

Econometrics · Economics 2022-02-08 Martin Guth

This article introduces the problem of robust event disturbance rejection. Inspired by the design principle of linear output regulation, a control structure based on excitable systems is proposed. Unlike the linear case, contraction of the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Alessandro Cecconi , Michelangelo Bin , Rodolphe Sepulchre , Lorenzo Marconi

An efficient method to price bonds with optional sinking feature is presented. Such instruments equip their issuer with the option (but not the obligation) to redeem parts of the notional prior to maturity, therefore the future cash flows…

Pricing of Securities · Quantitative Finance 2013-05-23 Jan-Frederik Mai , Marc Wittlinger

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

Econometrics · Economics 2023-12-05 Kevin Dano

In this paper we introduce a sublinear conditional expectation with respect to a family of possibly nondominated probability measures on a progressively enlarged filtration. In this way, we extend the classic reduced-form setting for credit…

Mathematical Finance · Quantitative Finance 2019-08-02 Francesca Biagini , Yinglin Zhang

As impressively shown by the financial crisis in 2007/08, contagion effects in financial networks harbor a great threat for the stability of the entire system. Without sufficient capital requirements for banks and other financial…

Risk Management · Quantitative Finance 2019-11-19 Daniel Ritter

In this paper, we present a methodology for measuring the impact of scenarios on the expected losses of exposures by leveraging the existing provisioning infrastructure within financial institutions, where scenario effects are captured…

Risk Management · Quantitative Finance 2026-02-03 Mahmood Alaghmandan , Meghal Arora , Olga Streltchenko

Individual risk models need to capture possible correlations as failing to do so typically results in an underestimation of extreme quantiles of the aggregate loss. Such dependence modelling is particularly important for managing credit…

Methodology · Statistics 2014-12-11 Michel Denuit , Anna Kiriliouk , Johan Segers

In recent years research on credit risk modelling has mainly focused on default probabilities. Recovery rates are usually modelled independently, quite often they are even assumed constant. Then, however, the structural connection between…

Risk Management · Quantitative Finance 2015-03-06 Alexander F. R. Koivusalo , Rudi Schäfer

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

This work is attached to the BRICS 2013 competition. We propose a two-stage model for dealing with the temporal degradation of credit scoring models. This methodology produced motivating results in a 1-year horizon. We anticipate that it…

Risk Management · Quantitative Finance 2014-07-01 Maria Rocha Sousa , João Gama , Manuel J. Silva Gonçalves

Supply chain disruptions constitute an often underestimated risk for financial stability. As in financial networks, systemic risks in production networks arises when the local failure of one firm impacts the production of others and might…

Statistical Finance · Quantitative Finance 2025-02-25 Jan Fialkowski , Christian Diem , András Borsos , Stefan Thurner

The instability of the financial system as experienced in recent years and in previous periods is often linked to credit defaults, i.e., to the failure of obligors to make promised payments. Given the large number of credit contracts, this…

Risk Management · Quantitative Finance 2015-06-17 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark-to-market valuation adjustment for interbank…

Mathematical Finance · Quantitative Finance 2025-02-27 Zachary Feinstein , Andreas Sojmark

This paper proposes a framework to design an event-triggered based robust control law for linear uncertain system. The robust control law is realized through both static and dynamic event-triggering approach to reduce the computation and…

Optimization and Control · Mathematics 2015-09-08 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

In an event-based scenario, the system decides when to update the actuators based on a real time triggering condition on the measured signals. This condition can be defined in various forms and varies depending on the system properties and…

Systems and Control · Electrical Eng. & Systems 2019-08-02 Mohsen Ghodrat , Horacio J. Marquez
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