MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram. Undoubtedly, you should use the system of electronic money transfers MoneyGram, if you want to send or receive money with the guarantee of their delivery and safety. Keep in mind that if your locality there are several banks, working with MoneyGram and you will convert the currency received, before receiving check currency rates in several points - they can vary.