Analyzing a macroprudential instrument during the COVID-19 pandemic using border collision bifurcation

Abstract

Recibido (22/05/2020) Revisado (14/02/2021) Aceptado (07/05/2021) RESUMEN: Entender y predecir el fenómeno inflacionario es un problema central para los economistas y agentes tomadores de decisiones. Tradicionalmente se han utilizado técnicas econométricas de series de tiempo para estudiar este fenómeno; pero, ¿puede la economía de la complejidad aportar una visión complementaria a los estudios anteriores?

Analysis of Banking Deposit Cost in the Dynamics of Loan: Bifurcation and Chaos Perspectives

“…We follow [23], [24], [19], to model the loan dynamics of a bank but with a simpler balance sheet structure as in [22]. Suppose a bank has a balance sheet component: deposit (𝑫), equity (𝑬), and loan (𝑳).…”

“…The bank's equity will be bounded below by the capital regulation from the central bank. In the reality, as presented in [23], the banking data shows that the ratio of equity respect to loan can be assumed as constant.…”

The Role of Cost of Loan in Banking Loan Dynamics: Bifurcation and Chaos Analysis

“…To model the loan dynamics of a bank, we use [22], [23], but with a simpler balance sheet structure than in [21]. Consider a bank's balance sheet item: deposit (𝑫), equity (𝑬), and loan (𝑳).…”

“…The capital rule from the central bank will set lower boundaries for the bank's equity. In practice, as shown in [22], the banking data demonstrates that the equity to loan ratio can be taken to remain constant. Therefore, we are able to write 𝑬/𝑳 = 𝜿, for some 𝟎 < 𝜿 < 𝟏.…”