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Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

Applications · Statistics 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton

We study a an optimal high frequency trading problem within a market microstructure model designed to be a good compromise between accuracy and tractability. The stock price is driven by a Markov Renewal Process (MRP), while market orders…

Trading and Market Microstructure · Quantitative Finance 2015-01-06 Pietro Fodra , Huyên Pham

In the context of containment of default contagion in financial networks, we here study a regulator that allocates pre-shock capital or liquidity buffers across banks connected by interbank liabilities and common external asset exposures.…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Giuseppe C. Calafiore

We study risk-aware linear policy approximations for the optimal operation of an energy system with stochastic wind power, storage, and limited fuel. The resulting problem is a sequential decision-making problem with rolling forecasts. In…

Systems and Control · Electrical Eng. & Systems 2024-07-19 Thomas Mortimer , Robert Mieth

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 consider risk-sensitive Markov decision processes (MDPs), where the MDP model is influenced by a parameter which takes values in a compact metric space. We identify sufficient conditions under which small perturbations in the model…

Optimization and Control · Mathematics 2022-09-28 Shiping Shao , Abhishek Gupta , William B. Haskell

Dynamical systems comprising of multiple components that can be partitioned into distinct blocks originate in many scientific areas. A pertinent example is the interactions between financial assets and selected macroeconomic indicators,…

Methodology · Statistics 2017-08-22 Jiahe Lin , George Michailidis

As part of Basel II's incremental risk charge (IRC) methodology, this paper summarizes our extensive investigations of constructing transition probability matrices (TPMs) for unsecuritized credit products in the trading book. The objective…

Risk Management · Quantitative Finance 2011-02-21 Tzahi Yavin , Hu Zhang , Eugene Wang , Michael A. Clayton

This paper investigates two mechanisms of financial contagion that are, firstly, the correlated exposure of banks to the same source of risk, and secondly the direct exposure of banks in the interbank market. It will consider a random…

Computational Finance · Quantitative Finance 2016-03-15 Seyyed Mostafa Mousavi , Robert Mackay , Alistair Tucker

We introduce a general framework for measuring risk in the context of Markov control processes with risk maps on general Borel spaces that generalize known concepts of risk measures in mathematical finance, operations research and…

Optimization and Control · Mathematics 2014-01-27 Yun Shen , Wilhelm Stannat , Klaus Obermayer

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

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

This study investigates the functioning of modern payment systems through the lens of banks' maturity mismatch practices, and it examines the effects of banks' refusal to roll over short-term interbank liabilities on financial stability.…

General Economics · Economics 2023-06-12 Jessica Reale

We propose a new model of the liquidity driven banking system focusing on overnight interbank loans. This significant branch of the interbank market is commonly neglected in the banking system modeling and systemic risk analysis. We…

Economics · Quantitative Finance 2016-03-17 Paweł Smaga , Mateusz Wiliński , Piotr Ochnicki , Piotr Arendarski , Tomasz Gubiec

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

Micro-structural models of contagion and systemic risk emphasize that shock propagation is inherently multi-channel, spanning counterparty exposures, short-term funding and roll-over risk, securities cross-holdings, and common-asset…

Statistical Finance · Quantitative Finance 2026-02-12 Ilias Aarab , Thomas Gottron , Andrea Colombo , Jörg Reddig , Annalauro Ianiro

We study the formation of an optimal interbank network in a model where banks control both their supply of liquidity, through cash reserves, and their exposures to other banks' risky projects. The value of each bank's project may suddenly…

Mathematical Finance · Quantitative Finance 2024-10-08 Daniel E. Rigobon , Ronnie Sircar

Phased releases are a common strategy in the technology industry for gradually releasing new products or updates through a sequence of A/B tests in which the number of treated units gradually grows until full deployment or deprecation.…

Machine Learning · Statistics 2023-05-17 Yufan Li , Jialiang Mao , Iavor Bojinov

Algorithmic trading relies on machine learning models to make trading decisions. Despite strong in-sample performance, these models often degrade when confronted with evolving real-world market regimes, which can shift dramatically due to…

Machine Learning · Computer Science 2026-01-27 Haochong Xia , Simin Li , Ruixiao Xu , Zhixia Zhang , Hongxiang Wang , Zhiqian Liu , Teng Yao Long , Molei Qin , Chuqiao Zong , Bo An

We consider a discrete-time linear quadratic Gaussian networked control setting where the (full information) observer and controller are separated by a fixed-rate noiseless channel. The minimal rate required to stabilize such a system has…

Systems and Control · Computer Science 2018-09-14 Anatoly Khina , Yorie Nakahira , Yu Su , Hikmet Yıldız , Babak Hassibi