Soaring demand for shares in Big Hit has given it a market valuation of £3.2bn ($4.1bn), with shares priced at the top of the expected price range.
Big Hit boss Bang Si-hyuk, who owns 43% of the management label, will become a billionaire.
In August, he gave each BTS member 68,385 shares, worth £6.2m in total.
Currently priced at between 105,000-135,000 won (£70.03-£88.70) per share, Big Hit expects to raise about £638.3m with the sale of 7.13 million new shares when it is listed on Korea's Stock Exchange, the KOSPI, on 15 October.