The benefits of money transfers by MoneyGram: there is no need to open a checking account when implementing the transfer. MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year. The benefits of money transfers by MoneyGram: sender of of transfer can choose to receive a money transfer currency - U.S. dollars or euros.