The greatest increases in What are the main benefits of money transfers by MoneyGram? Individual flexible service. The recipient has the opportunity to receive money at any MoneyGram office anywhere in the world. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.