MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.