If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. MoneyGram 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. The benefits of money transfers by MoneyGram: branching of network of the implementation of transfers across the world.