The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. Understanding that being in another country, you may not be fluent in the local language, that's why MoneyGram always tries to talk to you in your native language. 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.