Carlyle Group LP, the world’s second-biggest private-equity firm, said the funds from which it can collect a slice of profits appreciated 3 percent in the second quarter and 9 percent in the year’s first half.

Carry funds that invest in buyouts gained 5 percent in the quarter and 15 percent in 2013, Washington-based Carlyle said Monday in an e-mailed statement. The Standard & Poor’s 500 Index of large U.S. companies rose 2.4 percent and the MSCI All-Country World Index fell 1.2 percent in the quarter.

The firm, which oversaw $176 billion across 114 funds and 76 funds-of-funds as of March 31, is set to report full earnings for the second quarter next month. Carlyle held its initial public offering last year and has disclosed preliminary fund performance before its scheduled earnings reports to allow stockholders to see the figures when its fund investors typically do.

Most of Carlyle’s strategies posted gains for the quarter. Carry funds in Carlyle’s real estate unit were unchanged and those investing in energy declined 3 percent. The firm’s Global Market Strategies funds appreciated 8 percent. GMS carry funds, which invest in distressed companies and lend to middle-sized companies as well as energy and power projects, advanced 22 percent over the past year.