If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. Money transfers via MoneyGram system can be used as by bank customers, and by people who do not have bank accounts. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. The benefits of money transfers by MoneyGram: the payment of transfers is made in cash. The benefits of money transfers by MoneyGram: simplicity in making up.