Overnight money market rates are the predominant operational target of monetary policy. As a consequence, central banks have re- designed the implementation of monetary policy to keep the deviations of the overnight rate from the key policy rate small and short-lived. This paper uses fractional integration techniques to explore how the operational framework of four major central banks affects the persis- tence of overnight rates. Our results suggest that a well-communicated and transparent interest rate target of the central bank is a particu- larly important condition for a low degree of overnight rate persistence.