Under the Wolfsberg Correspondent Banking Principles, conducting enhanced due diligence (EDD) is an obligation for correspondent banking clients that present greater risks. This may include conducting additional research and analysis of the client's background, ownership structure, and transactions. EDD may also involve obtaining additional documentation, verifying the client's identity, and conducting periodic reviews to ensure ongoing compliance. The level of EDD required should be commensurate with the level of risk posed by the correspondent banking relationship. Therefore, option B and D are incorrect. Option A is not specific enough to address the question. Option C is the correct answer as it highlights the importance of senior management approval for high-risk relationships, which is a key component of EDD.