The company continues to automate and enhance MoneyGram 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. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free.