The company continues to automate and enhance MoneyGram How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. 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. Keep in mind that if your locality there are several banks, working with MoneyGram and you will convert the currency received, before receiving check currency rates in several points - they can vary.