For customers, according to the company, transfers in the system of Coinstar Money Transfers on average by 10-15% cheaper than Western Union or MoneyGram. Money transfer system Coinstar Money Transfer is the fastest growing company in the market of remittances. Unclaimed for a year Coinstar money transfers are returned to the sender on request. Coinstar Money Transfer works as follows: The client has to come to the branch office of the agent bank, the money will be transferred in minutes.