By Wayne Cole

SYDNEY, Sept 30 (Reuters) -Asia share markets were mostly firmer on Monday as China announced more stimulus measures, though the Nikkei dived on concerns Japan's new prime minister favoured normalising interest rates.

Continued Israeli strikes across Lebanon added geopolitical uncertainty to the mix, though oil prices were still weighed down by the risk of increased supply. O/R

The week is packed with major U.S. economic data including a payrolls report that could decide whether the Federal Reserve delivers another outsized rate cut in November.

The Nikkei .N225 led the early action with a dive of 4.0% as investors anxiously waited for more direction from new Prime Minister Shigeru Ishiba, who has been critical of the Bank of Japan's easy policies in the past.

However, he sounded more conciliatory over the weekend saying monetary policy "must remain accommodative" given the state of the economy.

That helped the dollar bounce 0.5% to 142.85 yen JPY=EBS, after sliding 1.8% on Friday from a 146.49 top. USD/

"Ishiba has endorsed the BoJ's intention to normalise monetary policy, albeit leaving it uncertain as to the pace and timing," said HSBC economist Jun Takazawa.

"If additional stimulus measures are realised, this would also likely buttress the recovering trend in spending, thereby strengthening the BoJ's conviction to raise interest rates at a gradual pace," he added. "All in all, we continue to see a constructive outlook for Japan."

Over in China, the central bank said it would tell banks to lower mortgage rates for existing home loans by the end of October, likely by 50 basis points on average.

That follows a barrage of monetary, fiscal and liquidity support measures announced last week in Beijing's biggest stimulus package since the pandemic.

"We believe deflation risks are now being taken more seriously," said Christian Keller, head of economic research at Barclays. "At the same time, the Politburo suggests a consensus has likely been reached in Beijing that fiscal stimulus and central government leverage are necessary to arrest the downturn."

"This is an important shift in a market that was looking for more than just the bare minimum."

WALL ST ON A ROLL

The blue-chip CSI300 .CSI300 and Shanghai Composite .SSEC indexes gained roughly 16% and 13%, respectively, last week. Hong Kong's Hang Seng index .HSI jumped 13%.

On Monday, MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS firmed 0.2%, having surged 6.1% last week to a seven-month high.

Wall Street also had a rousing week helped by a benign reading on core U.S. inflation on Friday that left the door open to another half-point rate cut from the Fed.

Futures 0#FF: imply around a 53% chance the Fed will ease by 50 basis points on Nov. 7, though the presidential election two days earlier remains a major unknown. FEDWATCH

A host of Fed speakers will have their say this week, led by Chair Jerome Powell later on Monday. Also due are data on job openings and private hiring, along with ISM surveys on manufacturing and services.

S&P 500 futures ESc1 were up 0.1% on Monday, while Nasdaq futures NQc1 added 0.2%. The S&P 500 .SPX index is up 20% year-to-date and on track for its strongest January-September performance since 1997.

In currency markets, the dollar index was flat at 100.41 =USD after easing 0.3% last week. The euro stood at $1.1169 EUR=EBS, having bounced on Friday in the wake of the benign U.S. inflation report. USD/

The euro zone releases its inflation figures this week, along with producer prices and unemployment. German inflation and retail sales are due later on Monday, while European Central Bank President Christine Lagarde speaks to parliament.

A softer dollar combined with lower bond yields to help gold reach record highs at $2,685 an ounce. It was last at $2,664 an ounce XAU=, and on track for its best quarter since 2016. GOL/

Oil prices were erratic as concerns about possible increased supply from Saudi Arabia countered tensions in the Middle East. O/R

Brent LCOc1 fell 1 cent to $71.86 a barrel, while U.S. crude CLc1 rose 3 cents to $68.21 per barrel.

Reporting by Wayne Cole; Editing by Jamie Freed

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