By Jason Douglas 

LONDON--The U.K.'s Chancellor of the Exchequer George Osborne announced Wednesday further cuts to the U.K.'s corporate tax rate and changes to levies on banks, as he set out his first package of tax-and-spending plans following national elections in May.

Presenting his budget to Parliament, Mr. Osborne said he expected to take an extra year of tough government-spending cuts to achieve his goal of closing the U.K.'s budget deficit. Official forecasts Wednesday showed he will run a surplus in early 2020--further pushing back a target that he had hoped when he first took office in 2010 to meet by this year.

On the global economy, Mr. Osborne said the outlook was darkening, citing a slowdown in the U.S. and China as well as the debt crisis in Greece.

While the U.K. economy is stronger than it was five years ago, "the greatest mistake this country could make would be to think all our problems are solved," Mr. Osborne said. "You only have to look at the crisis unfolding in Greece as I speak, to realize that if a country's not in control of its borrowing, the borrowing takes control of the country."

Mr. Osborne, said he would lower the U.K.'s corporate tax rate to 18% over the next five years, making it the lowest in the Group of 20 major economies. The current rate of 20% puts the U.K. at joint lowest of that group with several other countries, including Russia. In the U.S., the federal government taxes corporate profits at 35%, with state taxes on top taking the effective rate closer to 40%.

On the banking sector, Mr. Osborne said he intends to phase out by 2021 a levy on U.K. banks linked to their balance sheets that raised billions of pounds for the exchequer each year.

But from next year, banks face a new 8% surcharge on their profits, which Mr. Osborne said will raise more money from financial firms in the next five years than if the government stuck with the levy.

Together the changes will raise an additional GBP1.7 billion from banks over the next five years, according to Treasury figures.

The change in bank taxation marked a turnaround by Mr. Osborne, who in March told lawmakers the levy was "here to stay." Analysts said Wednesday it should eventually lead to lower bills for HSBC and Standard Chartered, and could encourage HSBC to remain headquartered in the U.K. HSBC Chairman Douglas Flint announced a review of the bank's location in April, to be completed by the end of the year.

A spokesman for Standard Chartered said: "We welcome the announcement on the reduction in the levy rate over 6 years, alongside the fact it will only be charged on U.K. balance sheets after this period." A spokeswoman for HSBC declined to comment.

"The reform and reduction in the bank levy will be welcomed particularly by those banks with large overseas operations," said Matthew Barling, a banking tax partner at PricewaterhouseCoopers. But the rising tax rate on profits sends "a mixed message in terms of competitiveness of the U.K. as a place for carrying on banking business," he said.

The Treasury also gave additional details Wednesday of its plan to start selling shares in 80% state-owned Royal Bank of Scotland Group PLC. It said it expects to raise at least GBP2 billion from share sales by April, and to have sold at least three quarters of the existing stake by 2020.

Mr. Osborne was presenting his first budget since a national election in May handed Prime Minister David Cameron and his center-right Conservative Party a large enough victory to govern alone after five years of coalition with the center-left Liberal Democrats. It is the first all-Conservative budget since 1996.

In a sign of the difficulty for the chancellor of finding additional areas of savings following five years of already steep government-spending reductions, Mr. Osborne Wednesday said he would spread further cuts out over four years rather than three--a move some economists described as a significant easing of the expected squeeze on public services.

He offered U.K. households a mixed bag of giveaways and takeaways, with voter-wooing measures such as 30 hours of free child care a week and plans to raise the minimum wage offset by cuts to welfare benefits enjoyed by many working families and net tax increases.

Mr. Osborne also committed to spending 2% of the U.K.'s annual national income on defense, easing concerns the U.K. would fall short of its commitment as a member of the North Atlantic Treaty Organization. U.S. officials both privately and publicly have expressed concerns to the government that efforts to trim the U.K.'s budget deficit could hinder its military capability.

Margot Patrick and Nicholas Winning contributed to this article.

Write to Jason Douglas at jason.douglas@wsj.com

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