The paper of Gertler and Kiyotaki (2015a) is important step forward in the modeling of financial sector in macroeconomic models, because it combines financial accelerator mechanism with the bank runs, two phenomena observed in the last economic crisis. Therefore, aim of the paper is to replicate the results of the Gertler and Kiyotaki (2015a) in order to check their validity. Also the procedure for solving the model is rewritten in order to be precise, conceptually clear and easy to follow. For the replication, the numerical solver based on the quasi-Newton method is used. The results of the replication confirms the results of the Gertler and Kiyotaki (2015a). The model should be further developed in order to incorporate more complex banking sector that includes commercial banks.