The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. AgentConnect allows MoneyGram agents to integrate the money transfer service with their internal security and training processes. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. It is very convenient and quick to transfer money without opening accounts and having no payment cards, precisely due to this wired transfer system MoneyGram has become one of the most common worldwide.