After the correction of tariffs, volumes of MoneyGram transfers increased by 30%. What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. The easiest way to send money via MoneyGram - is to use our website and find the nearest MoneyGram agent location. 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. Very intensive and focused approach has helped MoneyGram to grow business at a rapid pace and establish MoneyGram as a global player in the marketplace. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.