Modeling Financial System with Interbank Flows, Borrowing, and Investing

Aditya Maheshwari and Andrey Sarantsev
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Aditya Maheshwari: Department of Statistics and Applied Probability, University of California, Santa Barbara, CA 93106, USA
Andrey Sarantsev: Department of Mathematics and Statistics, University of Nevada, Reno, NV 89557, USA

Risks, 2018, vol. 6, issue 4, 1-26

Abstract: In our model, private actors with interbank cash flows similar to, but more general than that by Carmona et al. (2013) borrow from the non-banking financial sector at a certain interest rate, controlled by the central bank, and invest in risky assets. Each private actor aims to maximize its expected terminal logarithmic wealth. The central bank, in turn, aims to control the overall economy by means of an exponential utility function. We solve all stochastic optimal control problems explicitly. We are able to recreate occasions such as liquidity trap. We study distribution of the number of defaults (net worth of a private actor going below a certain threshold).

Keywords: systemic risk; stochastic control; principal–agent problem; stochastic game; stationary distribution; stochastic stability; Lyapunov function (search for similar items in EconPapers)
JEL-codes: C G0 G1 G2 G3 K2 M2 M4 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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