HomeSmart, the nation’s 10th largest brokerage, has filed paperwork with the U.S. Securities and Exchange Commission to go public on the Nasdaq exchange under the ticker “HS.” The move would bring the number of brokerages part of public company among the nation’s 10 largest brokerages to seven. The financial resources that public markets provide companies is forcing more and more brokerage companies who want to compete for a spot on the leaderboard to consider the opportunity.