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. MoneyGram MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.