If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.