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Systemic Risk and Interbank Lending

Li-Hsien Sun

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Abstract: We propose a simple model of the banking system incorporating a game feature where the evolution of monetary reserve is modeled as a system of coupled Feller diffusions. The Markov Nash equilibrium generated through minimizing the linear quadratic cost subject to Cox-Ingersoll-Ross type processes creates liquidity and deposit rate. The adding liquidity leads to a flocking effect but the deposit rate diminishes the growth rate of the total monetary reserve causing a large number of bank defaults. In addition, the corresponding Mean Field Game and the infinite time horizon stochastic game with the discount factor are also discussed.

Date: 2016-11, Revised 2017-03
New Economics Papers: this item is included in nep-ban, nep-mac and nep-mon
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Citations: View citations in EconPapers (2)

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