The company continues to automate and enhance MoneyGram The benefits of money transfers by MoneyGram: the payment of transfers is made in cash. The benefits of money transfers by MoneyGram: high level of data protection and confidentiality of money transfers. MoneyGram Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. The Global Funds Transfer segment is the primary segment of MoneyGram, providing money transfer and bill payment services to consumers, who are often unbanked or underbanked.