A research on the effectiveness of coordination mechanisms of central bank on cross-shipping

Abstract

Abstract: In order to avoid overuse of the public service of RMB cash issuance and processing, the People′s Bank of China (PBOC) has made a regulation on the fit-sorting of the cash returned to the RMB issue treasury from the private sector of commercial banks. Commercial banks, due to lack of corresponding supervision and punishment rules, driven by their own interests, are still tend to adopt cross-shipping to avoid fit-sorting obligations, which makes it difficult to implement the regulation of the central bank. To solve this problem, it is necessary for PBOC to choose the appropriate coordination mechanism to supervise and encourage the private sector in the cash supply chain to fulfill the duty of fit-sorting, reduce the cross-shipping and the social cost of the cash circulation. In this context, the research on coordination mechanism in the management of RMB issuance and circulation not only provides theoretical reference for PBOC to formulate relevant implementation rules, but also helps the banking industry to achieve the strategic goal: "safe circulation of cash, cost reduction, capital saving and efficiency increasing".
With combination of the closed-loop supply chain theory with the practice of RMB issuance and circulation, the paper establishes the framework of cash closed-loop supply chain. In the forward cash supply chain, the commercial bank withdraws the issuing funds from the RMB issue treasury of the central bank to their commercial vaults，and pays them to the public at Banking Offices. So RMB cash enters the market and the currency issuance is completed. In the reverse cash supply chain, the public deposits their cash at commercial banking offices, then commercial banks recycle them to the RMB issue Treasury of the central bank and the currency withdrawal is completed.
From the perspective of the incentive of commercial banks, we build a cost model about cash flow operation based on the framework of cash closed-loop supply chain. Next, we analyze the optimal strategy of fit-sorting and dispatching under the elastic fee on different types of commercial banks, and theoretically prove that this mechanism could motivate commercial banks to carry out fully fit-sorting. We compared the optimal strategy of fit-sorting the different types of commercial Banks through numerical examples, discussed the coordination effect of the elastic penalty mechanism on the cross-shipping decisions. And we reached the following conclusions: (1) the elastic penalty mechanism has the dual effect of reward and punishment for commercial banks with different deposits and withdrawals. To be specific, the commercial banks (A) with the amount of pays out withdrawal greater the deposits, must fit-sorting all the deposits to avoid punishment, while the commercial banks (B) with deposits less than the amount of pays out withdrawal, can be rewarded by choosing excessive fit-sorting. (2) Under the elastic penalty mechanism, commercial banks will change their original strategies of fit-sorting and dispatching, and the reduction for cross-shipping is positively related to escort price, and changes in the opposite direction with cash storage price as well as private fit-sorting price. (3) The impact effect of the elastic penalty mechanism on the cost of commercial banks is positively related to the price of fit-sorting service of the central bank, and changes in the opposite direction with the cash storage price of the issue Treasury and the private fit-sorting price. Therefore, under the trend of cash logistics outsourcing and cash processing cost reduction, the elastic penalty mechanism can promote commercial banks to reduce cross-shipping behavior more effectively and fulfill the duty of fit-sorting in a way with the minimum social cost.

Key words: RMB, cash closed-loop supply chain, elastic penalty mechanism, commercial bank, cross-shipping, agent custodial inventory

Qiu Hong, Zhu Nan, Ye Siyu. A research on the effectiveness of coordination mechanisms of central bank on cross-shipping[J]. Science Research Management, 2021, 42(8): 111-121.

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