* Asian stock markets : https://tmsnrt.rs/2zpUAr4
* Asia shares ease, but U.S. futures bounce
* U.S. CPI seen sealing case for early Fed taper
* Longer-term Treasuries give up some gains
* Oil bounces as Saudi Arabia raises its prices
By Wayne Cole
SYDNEY, Dec 6 (Reuters) - Asian share markets lagged a bounce in U.S. and European futures on Monday, while bonds surrendered some of their recent gains and oil rallied as Saudi Arabia lifted its crude prices.
November's mixed U.S. jobs report did little to shake market expectations of a more aggressive tightening by the Federal Reserve, leaving a week to wait for a consumer price report that could make the case for an early tapering.
Omicron remained a concern as the variant spread to about one-third of U.S. states, though there were reports from South Africa that cases there only had mild symptoms.
Early trade was cautious as MSCI's broadest index of Asia-Pacific shares outside Japan inched down 0.4%.
Japan's Nikkei eased 0.6%, even as the government considered raising its economic growth forecast to account for a record $490 billion stimulus package.
Chinese blue chips managed a 0.7% gain after state media quoted Premier Li Keqiang as saying Beijing will cut banks' reserve requirement ratios (RRR) "in a timely way".
Shares of embattled property developer China Evergrande Group slid 11% after saying there was no guarantee it would have enough funds to meet debt repayments.
Wall Street was looking to rally after Friday's late slide, with S&P 500 futures adding 0.4% and Nasdaq futures 0.1%. EUROSTOXX 50 futures firmed 1.0% and FTSE futures 0.7%. While headline U.S. payrolls had underwhelmed in November, the survey of households was far stronger with a 1.1 million jump in jobs taking unemployment down to 4.2%. "We think the Fed will view the economy as much closer to full employment than previously thought," said Barclays economist Michael Gapen.
"Hence, we expect an accelerated taper at the December meeting, followed by the first rate hike in March. We continue to expect three 25 basis point hikes in 2022."
The futures market is almost fully priced for a hike to 0.25% by May and 0.5% by November.
The hawkish outlook is one reason BofA chief investment strategist Michael Hartnett is bearish on equities for 2022, expecting a "rates shock" and a tightening of financial conditions.
He favours real assets, real estate, commodities, volatility, cash and emerging markets, while bonds, credit and equities could struggle.
For now, short-term Treasury yields are being pushed higher but the longer-end has rallied as investors wager an earlier start to hikes will mean slower economic growth and inflation over time and a lower peak for the funds rate.
Ten-year U.S. yields dived almost 13 basis points last week and were last at 1.38%, shrinking the spread over two-years to the smallest this year.
The rise in short-term rates has helped underpin the U.S. dollar, particularly against growth-leveraged currencies seen as vulnerable to the spread of the Omicron variant.
The U.S. dollar hit 13-month peaks on the Australian and New Zealand dollars but its index was relatively steady on the majors at 96.214.
The euro eased a touch to $1.1295, still well above its recent trough at $1.1184, while the dollar steadied on the safe haven yen at 113.01.
Bitcoin shed a fifth of its value on Saturday as profit-taking and macro-economic concerns triggered nearly $1 billion worth of selling across cryptocurrencies.
Bitcoin was last at $48,954, having been as low as $41,967 over the weekend.
In commodities, gold found some support from the decline in longer-term bond yields but has been trading sideways for several months in a $1,720/1,870 range. Early Monday, it was steady at $1,785 an ounce.
Oil prices bounced after top exporter Saudi Arabia raised prices for its crude sold to Asia and the United States, and as indirect U.S.-Iran talks on reviving a nuclear deal appeared to hit an impasse.
Brent climbed $1.45 to $71.33 a barrel, while U.S. crude added $1.46 to $67.72 per barrel.
(Reporting by Wayne Cole; Editing by Sam Holmes)