MoneyGram wired transfer implemented many changes to its technology platforms designed to prevent or detect suspicious transactions. Money transfers can be claimed within 45 days, but if for some reason, this period is exceeded, the processing operator would need additional time to call the main office of the company of MoneyGram for voice authorization. To find MoneyGram agents will help you easily recognizable logo, as well as our website which will help you find the nearest location to send and receive money via MoneyGram. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc. MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.