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 offers an efficient, fast and secure way to send money around the world. In whatever part of the world you are, you can trust your money transfer to the company MoneyGram. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.