How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Bank services of MoneyGram on money transfer are available only to individuals. What are the main benefits of money transfers by MoneyGram? Reliability - the international payment system gives complete assurance that the money will be paid to the recipient. Money transfer wired system MoneyGram offers annually U.S. $ 500,000 in grants to charitable organizations to support education programs in developing countries.