Price-mediated contagion with endogenous market liquidity

Fuente: arXiv
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Autori principali: Cao, Zhiyu, Feinstein, Zachary
Natura: Preprint
Pubblicazione: 2023
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author Cao, Zhiyu
Feinstein, Zachary
author_facet Cao, Zhiyu
Feinstein, Zachary
contents Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market liquidity without regards to the level of stress applied to the system. This paper introduces a framework to understand price-mediated contagion in a system where the capacity of the market to absorb liquidated assets is determined endogenously. In doing so, we construct a joint clearing system in interbank payments, asset prices, and market liquidity. We establish mild assumptions which guarantee the existence of greatest and least clearing solutions. We conclude with detailed numerical case studies which demonstrate the, potentially severe, repercussions of endogenizing the market liquidity on system risk.
format Preprint
id arxiv_https___arxiv_org_abs_2311_05977
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Price-mediated contagion with endogenous market liquidity
Cao, Zhiyu
Feinstein, Zachary
Risk Management
Mathematical Finance
Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market liquidity without regards to the level of stress applied to the system. This paper introduces a framework to understand price-mediated contagion in a system where the capacity of the market to absorb liquidated assets is determined endogenously. In doing so, we construct a joint clearing system in interbank payments, asset prices, and market liquidity. We establish mild assumptions which guarantee the existence of greatest and least clearing solutions. We conclude with detailed numerical case studies which demonstrate the, potentially severe, repercussions of endogenizing the market liquidity on system risk.
title Price-mediated contagion with endogenous market liquidity
topic Risk Management
Mathematical Finance
url https://arxiv.org/abs/2311.05977