How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. For the recipient MoneyGram service of wired transfer is free. All expenses will be paid by the sender at the time of sending money. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram hired compliance officers in many of their global offices to ensure compliance with regulations of specific countries or regions.