If MoneyGram money transfer, for some reason has not been received by the addressee, the sender will receive a refund. 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. MoneyGram's consumers and agents expect reliability and safety and that is precisely what MoneyGram continues to deliver, transaction by transaction. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). The benefits of money transfers by MoneyGram: the transfer is available in the system to obtain within 90 days. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.