To get the loan approved, he had to go through a lot of hoop-jumping with paperwork and documentation.

hoop-jumping 是由名词 hoop（环、圈）和动词 jump（跳跃）组成的复合词，字面意思是"跳圈"。 hoop-jumping 在这里是比喻用法，指"完成一系列繁琐的程序或要求"，就像马戏团表演中动物需要跳过多个圈一样，形容需要克服很多繁琐的障碍。