Corpus ID: 158563340

Dynamic Clearing and Contagion in Financial Networks

@article{Banerjee2018DynamicCA,
  title={Dynamic Clearing and Contagion in Financial Networks},
  author={Tathagata Banerjee and Alex Bernstein and Zachary Feinstein},
  journal={arXiv: Mathematical Finance},
  year={2018}
}
In this paper we will consider a generalized extension of the Eisenberg-Noe model of financial contagion to allow for time dynamics of the interbank liabilities. Emphasis will be placed on the construction, existence, and uniqueness of the continuous-time framework and its formulation as a differential equation driven by the operating cash flows. Finally, the financial implications of time dynamics will be considered. The focus will be on how the dynamic clearing solutions differ from those of… Expand

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References

SHOWING 1-10 OF 63 REFERENCES
Impact of contingent payments on systemic risk in financial networks
In this paper we study the implications of contingent payments on the clearing wealth in a network model of financial contagion. We consider an extension of the Eisenberg–Noe financial contagionExpand
Contagion in financial networks
  • Prasanna Gai, S. Kapadia
  • Business
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2010
This paper develops an analytical model of contagion in financial networks with arbitrary structure. We explore how the probability and potential impact of contagion is influenced by aggregate andExpand
Complexity, concentration and contagion
This paper develops a network model of interbank lending in which unsecured claims, repo activity and shocks to the haircuts applied to collateral assume centre stage. We show how systemic liquidityExpand
Financial contagion and asset liquidation strategies
This paper provides a framework for modeling the financial system with multiple illiquid assets during a crisis. This work generalizes the paper by Amini etal. (2016) by allowing for differingExpand
Capital regulation under price impacts and dynamic financial contagion
TLDR
A continuous time model for price-mediated contagion precipitated by a common exogenous stress to the banking book of all firms in the financial system is constructed and existence and uniqueness are found for the joint system of firm behavior and the asset prices. Expand
Uniqueness of equilibrium in a payment system with liquidation costs
We study a financial network where forced liquidations of an illiquid asset have a negative impact on its price, thus reinforcing network contagion. We give conditions for uniqueness of the clearingExpand
Bilateral Exposures and Systemic Solvency Risk
By introducing a structure of the balance sheets of the banks, which takes into account their bilateral exposures in terms of stocks or lendings, we get a structural model for default analysis. ThisExpand
Liquidity Risk and Contagion
This paper explores liquidity risk in a system of interconnected financial institutions when these institutions are subject to regulatory solvency constraints and mark their assets to market. WhenExpand
How Likely Is Contagion in Financial Networks?
Interconnections among financial institutions create potential channels for contagion and amplification of shocks to the financial system. We estimate the extent to which interconnections increaseExpand
Financial Networks and Contagion
We study cascades of failures in a network of interdependent financial organizations: how discontinuous changes in asset values (e.g., defaults and shutdowns) trigger further failures, and how thisExpand
...
1
2
3
4
5
...