@inproceedings{53c7ea3a261c40989eec08191c7a7b05,
title = "Numerical simulation of stochastic model for deposit and loan volume based on the Lotka - Volterra model",
abstract = "Lotka - Volterra model is often used to model the interaction between prey and predator, where the existence of predators depends on the presence of prey. In this paper, Lotka - Volterra model is used to describe the interaction between the volume of deposits and loan. It can be interpreted as the interaction between prey and predators in which deposit as prey and loan as predator. Interaction between Deposit and Loan volume model is expressed in a system of stochastic differential equations, which is derived from the Deterministic Lotka-Volterra model. Unlike in deterministic model, in this stochastic model, the volume of deposit and loan are stochastic variables and a random noise may occur in their interactions. The parameters in the model will be approximated using the Least Squares method for some financial data. The solution of the stochastic model is approximated using Euler-Maruyama method. The simulation of the stochastic models of the deposit and loan volume can represent the perturbation between the deposit and loan volume, and the results will be compared with the financial statement data per month from a commercial bank in Indonesia from 2003 until 2013.",
keywords = "Euler-Maruyama method, Lotka-Volterra model, deposit and loan",
author = "H. Ramanda and Handari, {B. D.} and D. Aldila",
note = "Funding Information: This research is fully supported by PITTA Universitas Indonesia Grant No.: 632/UN2.R3.1/HKP.05.00/2017 Publisher Copyright: {\textcopyright} 2018 Author(s).; 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 ; Conference date: 26-07-2017 Through 27-07-2017",
year = "2018",
month = oct,
day = "22",
doi = "10.1063/1.5064213",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Ratna Yuniati and Terry Mart and Anggraningrum, {Ivandini T.} and Djoko Triyono and Sugeng, {Kiki A.}",
booktitle = "Proceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017",
}