Final answer:
No, the Administrator of State A does not need the okay of the State B administrator to investigate a broker-dealer registered in State A, even if their principal office is located in State B.
Step-by-step explanation:
The question relates to the authority of state administrators, specifically in the context of businesses and regulatory oversight. If the Administrator of State A wants to investigate a broker-dealer (BD) that is registered in State A but has its principal office in State B, they generally do not need the permission of State B's Administrator to proceed with an investigation. This is because the BD is registered and operating within the jurisdiction of State A, which gives the State A Administrator the authority to regulate and investigate the BD's activities in their state.
However, it should be noted that cooperation between states can sometimes occur, especially when activities span across state lines. In practical terms, while State A may not legally require the consent of State B to conduct an investigation, they may still choose to inform or work with State B's Administrator for efficiency and thoroughness.