Stocks in the Asia-Pacific region climb, while Australia keeps its cash rate steady; India reveals its budget.

• The stock markets in China, Hong Kong, South Korea, and Singapore are shut down for a holiday.
• Despite market anticipation of a rate increase, the Reserve Bank of Australia kept its cash rate at 0.1% on Tuesday and ended its bond buying program as planned.
• India on Tuesday announced its budget for fiscal year 2023.
• On Wall Street, stocks rose for the second day in a row, ending a challenging January.

On Tuesday, Asia-Pacific markets increased, mirroring the upward trend of Wall Street stocks. Australia declared that it would maintain its cash rate, while investors in the region anticipate India's budget announcement.

Japan's stock market rose 0.28% to close at 27,078.48, while the Topix remained unchanged at 1,896.06. Some tech stocks also saw gains, with rising 1.12% and increasing by 0.39%.

On Monday, Sony Interactive Entertainment, a subsidiary of Sony, announced that it had agreed to acquire Bungie, a privately held video game developer, for $3.6 billion.

New orders and stronger output led to Japan's manufacturing activity growing at its fastest pace in nearly eight years, according to Reuters.

The ASX 200 in Australia increased by 0.49% and finished at 7,006, following an earlier decline.

Despite market anticipation of a rate increase, the Reserve Bank of Australia kept its cash rate at 0.1% on Tuesday and ended its bond buying program as planned.

The central bank's Governor Philip Lowe stated that stopping purchases under the bond purchase program does not mean a near-term increase in interest rates. He explained that the Board will not raise the cash rate until actual inflation is consistently within the 2 to 3 percent target range. Although inflation has increased, it is too early to determine if it is sustainably within the target range.

Despite the Omicron outbreak affecting the economy, it has not halted the economic recovery. The Australian economy remains robust and is predicted to see an increase in spending as COVID-19 case numbers decrease.

The dollar was at $0.7040 after the monetary policy decision, a decrease from earlier levels around $0.706.

According to Reuters, Australia's retail sales in December decreased by 4.4% to $31.9 billion Australian dollars ($22.53 billion) after a 7.3% increase in November.

On Tuesday, India unveiled its budget for fiscal year 2023, including a highway expansion program that will receive 200 billion rupees ($2.68 billion) in funding, as well as details on spending, tax collections, and the fiscal deficit, according to Reuters.

Vishnu Varathan of Mizuho Bank expressed concern about the surge in oil prices in his Monday note, stating that it could negatively impact discretionary demand and erode margins, ultimately affecting India's fiscal positions. India is a significant oil consumer and importer.

He stated that the FY2023 Budget should strike a balance between promoting growth and maintaining fiscal discipline.

While the Sensex index rose by 1.23%, India's rose by 1.44%.

Markets in mainland China, Hong Kong, South Korea, and Singapore are closed for a holiday.

On Wall Street, stocks rose for the second day in a row, ending a challenging January.

The S&P 500 experienced a 1.89% increase to 4,515.55, ending the month with a 5.3% decline. This was its worst month since the 12.5% loss in March 2020 and its largest January decline since 2009. The Nasdaq Composite added 406.39 points, or 1.2%, to reach 35,131.86. This helped it cut its monthly loss to 3.3%, as it benefitted from its underweighting in tech shares.

The Nasdaq Composite gained 3.41% to 14,239.88, building on its 3% recovery on Friday. Despite this, the index still suffered an 8.9% decline in January, marking its worst month since March 2020.

Currencies, oil

The dollar index, which measures the greenback against a group of other currencies, fell from approximately 96.6 to 96.590.

The traded at 115.02 per dollar, weakening from levels around 114 previously.

On Monday, oil experienced its largest monthly increase in almost a year due to a supply shortage and political tensions in Eastern Europe and the Middle East, as reported by Reuters.

The number of Russian troops deployed on its border with Ukraine is increasing as the conflict intensifies, with an estimated 100,000 soldiers already stationed there.

The day ended with a gain of 1.31% at $91.21 per barrel.

On Tuesday morning, during Asia hours, U.S. crude increased by 0.22% to $88.34 per barrel, while Brent also rose by 0.2% to $89.46.

This report was contributed to by Tanaya Macheel and Saheli Roy Choudhury of CNBC.