If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. In due time MoneyGram separated from the Western Union and became an independent brand. What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.