(For a Reuters live blog on U.S., UK and European stock markets, click or type LIVE/ in a news window.)

* May PPI falls unexpectedly, weekly jobless claims at 10-month high

* Tesla up as Musk says shareholders to approve his $56 bln pay package

* Broadcom soars after FY forecast raise on AI chips strength

* Futures: Dow down 0.19%, S&P up 0.22%, Nasdaq up 0.64%

June 13 (Reuters) - Futures for the S&P 500 and Nasdaq indexes extended gains on Thursday while the Dow pared losses, as lower-than-forecast producer inflation data fanned expectations of interest rate cuts from the Federal Reserve.

A rally in tech stocks persisted in premarket trading, putting the Nasdaq on track for a record-high open.

Shares of Broadcom soared 13.5% after the company raised its forecast for revenue from chips designed for artificial intelligence operations, and announced a 10-for-1 forward stock split. Peer Nvidia rose 2.7%.

A Labor Department report showed the U.S. producer price index (PPI) unexpectedly fell 0.2% month-on-month in May, compared with a 0.1% increase expected by economists polled by Reuters.

Meanwhile, the number of Americans filing new claims for

unemployment benefits

increased to a 10-month high last week.

Markets lifted bets on a September start to rate cuts to above 70% from 60% before the data, according to the CME's FedWatch tool. That was despite policymakers projecting only one rate cut this year.

Investor sentiment was also supported by softer-than-expected U.S. consumer inflation data on Wednesday and Fed Chairman Jerome Powell's acknowledgement that progress had been made in tackling price pressures.

"PPI was a good number ... it speaks to the Fed's comments that inflation has shown signs of moderating, but they still need to see more signs of moderation in inflation," said Robert Pavlik, senior portfolio manager at Dakota Wealth.

"But we're moving in the right direction and it speaks to the potential for a rate cut of most likely in September," Pavlik said.

UBS Global Research said it now expects the Fed to cut interest rates in December instead of September, while Goldman Sachs and Morgan Stanley continue to expect the first cut in September.

Also on tap, New York Fed President John Williams will moderate a panel later in the day.

Benchmark Treasury yields extended losses from the previous session, helping lift stocks further.

At 8:50 a.m. ET, Dow e-minis were down 85 points, or 0.22%, S&P 500 e-minis were up 10.25 points, or 0.19%, and Nasdaq 100 e-minis were up 120.5 points, or 0.62%.

Apple edged down 0.2%, after jumping to an all-time-high in the previous session and briefly overtaking Microsoft as the world's most valuable company.

Tesla leapt 7% after Elon Musk said company shareholders were voting to approve his $56 billion pay package and to move the electric-vehicle maker's legal home to Texas.

Virgin Galactic plunged 10.1%, a day after announcing a 1-for-20 reverse stock split.

(Reporting by Lisa Mattackal and Johann M Cherian in Bengaluru; Editing by Devika Syamnath)