Sept 24 (Reuters) - Welsh Carson-backed Clearwater Analytics Holdings Inc’s shares opened about 32% higher than their initial public offering price (IPO) in market debut on Friday, giving the software company a valuation of nearly $5.5 billion. Shares of the company, which makes investment management software, opened at $23.75, compared with the IPO price of $18 per share. (Reporting by Sohini Podder in Bengaluru; Editing by Shinjini Ganguli)