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? Cost. Today, it is most advantageous to the customer service of all the similar services. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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.