If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. MoneyGram offers an efficient, fast and secure way to send money around the world. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. 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. Commission income on remittances and other revenues of MoneyGram in the 2nd quarter 2012 increased by 10% compared to the same period last year and 13% in the base currency.