MoneyGram International, one of the leaders in the market of international money transfers, announced about its entering the market of Bosnia and Herzegovina, started cooperation with the country's largest bank Nova Bank. 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. 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. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.