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Since beginning of the 2008 financial crisis almost half a trillion euros have been spent to financially assist EU member states in taxpayer-funded bail-outs. These crisis resolutions are often accompanied by austerity programs causing…

综合金融 · 定量金融 2016-10-03 Peter Klimek , Sebastian Poledna , J. Doyne Farmer , Stefan Thurner

This paper studies a systemic risk control problem by the central bank, which dynamically plans monetary supply to stabilize the interbank system with borrowing and lending activities. Facing both heterogeneity among banks and the common…

最优化与控制 · 数学 2022-05-18 Lijun Bo , Tongqing Li , Xiang Yu

The events of the last few years revealed an acute need for tools to systematically model and analyze large financial networks. Many applications of such tools include the forecasting of systemic failures and analyzing probable effects of…

计算金融 · 定量金融 2012-09-19 Zhang Li , Ilya Pollak

Widespread default involves substantial deadweight costs which could be countered by injecting capital into failing firms. Injections have positive spillovers that can trigger a repayment cascade. But which firms should a regulator bailout…

理论经济学 · 经济学 2024-06-19 Krishna Dasaratha , Santosh Venkatesh , Rakesh Vohra

The present paper is devoted to the study of a bank salvage model with finite time horizon and subjected to stochastic impulse controls. In our model, the bank's default time is a completely inaccessible random quantity generating its own…

数理金融 · 定量金融 2019-10-09 Francesco Cordoni , Luca Di Persio , Yilun Jiang

A theoretical model of systemic-risk propagation of financial market is analyzed for stability. The state equation is an unsteady diffusion equation with a nonlinear logistic growth term, where the diffusion process captures the spread of…

数理金融 · 定量金融 2025-11-18 Jiacheng Wu

We describe the bailout of banks by governments as a Markov Decision Process (MDP) where the actions are equity investments. The underlying dynamics is derived from the network of financial institutions linked by mutual exposures, and the…

数理金融 · 定量金融 2022-12-27 Daniele Petrone , Neofytos Rodosthenous , Vito Latora

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the…

投资组合管理 · 定量金融 2008-12-10 Vicky Henderson , David Hobson

The supercooled Stefan problem and its variants describe the freezing of a supercooled liquid in physics, as well as the large system limits of systemic risk models in finance and of integrate-and-fire models in neuroscience. Adopting the…

We consider networks of banks with assets and liabilities. Some banks may be insolvent, and a central bank can decide which insolvent banks, if any, to bail out. We view bailouts as an optimization problem where the central bank has given…

社会与信息网络 · 计算机科学 2021-06-24 Beni Egressy , Roger Wattenhofer

This paper studies the bail-out optimal dividend problem with regime switching under the constraint that the cumulative dividend strategy is absolutely continuous. We confirm the optimality of the regime-modulated refraction-reflection…

数理金融 · 定量金融 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

I study the optimal regulation of a financial sector where individual banks face self-enforcing constraints countering their default incentives. The constrained-efficient social planner can improve over the unregulated equilibrium in two…

综合经济学 · 经济学 2025-04-08 Aliaksandr Zaretski

We analyze how interdependencies between organizations in financial networks can lead to multiple possible equilibrium outcomes. A multiplicity arises if and only if there exists a certain type of dependency cycle in the network that allows…

计算机科学与博弈论 · 计算机科学 2023-07-07 Matthew O. Jackson , Agathe Pernoud

In our model, private actors with interbank cash flows similar to, but nore general than (Carmona, Fouque, Sun, 2013) borrow from the outside economy at a certain interest rate, controlled by the central bank, and invest in risky assets.…

风险管理 · 定量金融 2018-10-09 Aditya Maheshwari , Andrey Sarantsev

We consider a mean-field model for large banking systems, which takes into account default and recovery of the institutions. Building on models used for groups of interacting neurons, we first study a McKean-Vlasov dynamics and its…

最优化与控制 · 数学 2020-01-29 Romuald Élie , Tomoyuki Ichiba , Mathieu Laurière

A financial system is represented by a network, where nodes correspond to banks, and directed labeled edges correspond to debt contracts between banks. Once a payment schedule has been defined, where we assume that a bank cannot refuse a…

计算机科学与博弈论 · 计算机科学 2024-10-24 Panagiotis Kanellopoulos , Maria Kyropoulou , Hao Zhou

We consider the inverse multiphase Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundaries. Optimal control framework is pursued, where boundary…

偏微分方程分析 · 数学 2019-09-23 Ugur G. Abdulla , Bruno Poggi

Consider the problem of a government that wants to reduce the debt-to-GDP (gross domestic product) ratio of a country. The government aims at choosing a debt reduction policy which minimises the total expected cost of having debt, plus the…

最优化与控制 · 数学 2017-12-29 Giorgio Ferrari

We consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a…

最优化与控制 · 数学 2024-08-27 Zhesheng Liu , Mihail Zervos

In this paper, we study an optimal excess-of-loss reinsurance and investment problem for an insurer in defaultable market. The insurer can buy reinsurance and invest in the following securities: a bank account, a risky asset with stochastic…

投资组合管理 · 定量金融 2017-04-27 Nian Yao , Zhiming Yang
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