2018
DOI: 10.3390/risks6040131
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Modeling Financial System with Interbank Flows, Borrowing, and Investing

Abstract: 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. Each private actor aims to maximize its expected terminal logarithmic utility. 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 occas… Show more

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Cited by 5 publications
(3 citation statements)
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References 34 publications
(94 reference statements)
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“…This function is used when forming an optimal portfolio for an investor focused on income generation. Maheshwari and Sarantsev (2018) is considering an optimal risk management model. The investors are private entities that borrowed money from the central bank at a controlled interest rate.…”
Section: Literature Reviewmentioning
confidence: 99%
“…This function is used when forming an optimal portfolio for an investor focused on income generation. Maheshwari and Sarantsev (2018) is considering an optimal risk management model. The investors are private entities that borrowed money from the central bank at a controlled interest rate.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Starting from Fouque and , several other papers on systemic risk have studied different versions of this mean-reverting setup (mostly without the common noise). These contributions can be loosely grouped into: systems with stabilisation by a central agent Garnier et al [2013Garnier et al [ , 2017, games with delay Carmona et al [2018], Fouque and Zhang [2018], games with model uncertainty Huang and Jaimungal [2017], utility optimisation by the individual banks and a central bank Maheshwari and Sarantsev [2017], methods for introducing heterogeneity Chong and Kluppelberg, Fang et al [2017], jump-diffusion dynamics Bo and Capponi [2018], Borovykh et al [2018], Benazzoli et al and connections to the theory of risk measures Biagini et al [2019a]. Still focusing on mean-reversion, constraints on the state space have been considered via Feller type square root diffusions in Bo and Capponi [2018], Fouque and , Shkolnikov and Ichiba [2013], Sun [2018] (with various additional features) and, in such a framework, Capponi et al [2019] has recently proposed a network structure with finitely many clusters of banks, where each cluster mean-reverts around different predetermined levels modelling the presence of target leverage ratios.…”
Section: Mean Field Approachesmentioning
confidence: 99%
“…Studies have talked about the effect of risk on performance and competition. Maheshwari and Sarantsev (2018) evaluated risk in a bank and its effect on banks' business through a financial model. Traditional Lerner Index based measure does not account for the risk, particularly NPA (Non-Performing Assets) provision and cost for capital adequacy in the pricing process.…”
Section: Introductionmentioning
confidence: 99%