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. The greatest increases in If you need to cancel or change a transaction, then you should contact by telephone with the MoneyGram branch agent, made the transaction for you. Technology continues to play a key role in increasing MoneyGram transaction speed, automating and streamlining processes, and creating new functionality. Millions of families depend on MoneyGram to safely send money home or pay the bills. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.