In linear algebra, the Cholesky decomposition or Cholesky factorization is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions, e.g., Monte Carlo simulations.
Published in Chapter:
The Growth Effects of Financial Development Over Economic Cycle in South Africa
Naser Yenus Nuru (Adigrat University, Ethiopia) and Hayelom Yrgaw Gereziher (Adigrat University, Ethiopia)
Copyright: © 2021
|Pages: 17
DOI: 10.4018/978-1-7998-4817-2.ch007
Abstract
This study examines the effects of financial development, proxied by domestic credit, on growth for South Africa across the states of the economy over the sample period 1970Q1-2019Q3. To address this point, the authors use Jorda's local projection method to generate impulse response functions for this small developing open economy. The shocks, however, are identified by applying short-run contemporaneous restrictions in a vector autoregressive model based on Cholesky identification scheme. The states of the economy are determined by a threshold variable, namely output growth. The results indicate that one standard deviation shock in domestic credit leads to a significant increment in output in this economy. This effect, though, is a bit pronounced in recession than the expansion state. One standard deviation shock in domestic credit leads to around 0.8 and 0.5% increment in output in recession and expansion states at the fourth quarter and on impact, respectively. The results are also robust to an alternative proxy variable of financial development.