Tradeweb Markets Inc. is aiming to raise as much as $709.8 million in a U.S. initial public offering that could value the bond and derivative platform at up to $5.8 billion.

Tradeweb, which began its IPO roadshow March 25, is marketing 27.3 million shares for $24 to $26 each, according to a regulatory filing. The listing, on the Nasdaq Global Select Market, is being led by JPMorgan Chase & Co., Citigroup Inc., Goldman Sachs Group Inc. and Morgan Stanley.

The company is part-owned by financial-data platform Refinitiv, which will continue to hold 62.4 percent of voting power after the share...