(42)Opening up the possibility of appointing a depositary established in another Member State should be accompanied by increased supervisory reach. Therefore, the depositary should be required to cooperate not only with its competent authorities but also with the competent authorities of the AIF for which the depositary has been appointed and the competent authorities of the home Member State of the AIFM that manages the AIF, if those competent authorities are located in a different Member State than that of the depositary.