(adds employer, location of economist quoted in para 7)
* S&P500 futures edge higher, hover near record high
* Long-term U.S. bond yields near 13-month peak
* Investors bets on earlier economic normalisation
* Some investors see Fed revising up economic, rates forecasts
* Global asset performance http://tmsnrt.rs/2yaDPgn
By Hideyuki Sano
TOKYO, March 15 (Reuters) - Global stock prices inched higher while U.S. bond yields hovered near a 13-month peak on Monday as investors bet U.S. economic growth will accelerate after the $1.9 trillion stimulus bill President Joe Biden signed into law last week.
A rollout of COVID-19 vaccinations in the United States and some other countries stoked a bullish mood on risk assets even as investors become wary of key central bank policy meets later in the week, including the U.S. Federal Reserve's.
"The U.S. is now vaccinating more three million people a day, with President Biden now saying all adults will be able to get a shot by May 1. It could soon achieve a herd immunity and an economic normalisation," said Norihiro Fujito, chief investment strategist at Mitsubishi UFJ Morgan Stanley Securities.
U.S. S&P500 futures rose 0.2% in early Asian trade, trading just below a record high level touched last week, while Japan's Nikkei ticked up 0.3%.
Mainland Chinese shares buckled the trend to trade lower despite data showing a quickening in industrial output and a rise in retail sales.
MSCI's broadest index of Asia-Pacific shares outside Japan rose 0.2%, with Hong Kong leading the gains.
"Most market participants and policy-makers have been surprised by the speed of the recovery. On our estimates, the U.S. economy will reach pre-COVID-19 output levels by the current quarter," said Chetan Ahya, global head of economics at Morgan Stanley in New York, in a note.
"Fiscal policy is doing much more than fill the output hole. Transfers to households have already exceeded the income lost in the recession. As reopening gathers pace, the labour market is poised for a sharp rebound."
The U.S. House of Representatives gave final approval last week to the COVID-19 relief bill, giving Biden his first major victory in office.
Some investors speculate part of $1,400 direct payments to households could find its way to stock markets, as seemed to be the case with similar direct payments made last year for coronavirus relief.
Investors also suspect the $1.9 trillion package, which amounts to more than 8% of the country's GDP, could stoke inflation - to the detriment of bonds, especially when their yields are so low.