When sending the transfer via MoneyGram in one currency and receiving it in another, then currency conversion is carried out at the current rate of sales of current service point. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram Commission income on remittances and other revenues of MoneyGram in the 2nd quarter 2012 increased by 10% compared to the same period last year and 13% in the base currency.