By Peter Rudegeair 

Citigroup Inc. said Thursday that its first-quarter profit jumped a larger-than-expected 21% as the lender slashed costs and enjoyed an uptick in investment-banking revenue.

Shares edged up 2% to $54.25 premarket.

The New York-based bank reported a profit of $4.77 billion, or $1.51 a share. That compares with $3.94 billion, or $1.23 a share, in the same period of 2014. Excluding one-time items, per-share earnings were $1.52 in the latest period, beating the $1.39 a share projected by analysts polled by Thomson Reuters.

Revenue fell 2.3% to $19.74 billion. On an adjusted basis, revenue fell 1.9% to $19.81 billion. Analysts had expected $19.82 billion.

Citigroup, under Chief Executive Michael Corbat, has been working to dispose of peripheral business units, resolve outstanding legal matters and repair relationships with regulators. Last month, the bank unveiled the sale of its OneMain Financial subprime lending unit to Springleaf Holdings Inc. as well as the first increase in its dividend since the financial crisis after it passed the Federal Reserve's annual stress test.

The bank's shares have fallen 1.7% since the start of 2015 compared with a 0.9% fall in the KBW index of bank stocks over the same period.

Trading revenue, excluding an accounting adjustment, decreased 9.5% to $4.36 billion from $4.81 billion in the first quarter of 2014. That compares to a 5% drop at Bank of America Corp.

Finance Chief John Gerspach said in March that results would be down in the mid-to-high single digits because of a "modest loss" tied to the sharp, unexpected swings in the Swiss franc as well as weakness in trading spread products such as corporate bonds or mortgage-backed securities. Bond, currency and commodity trading revenue fell 11% to $3.48 billion while stock trading revenue fell 1% to $873 million.

In investment banking, Citigroup earned $298 million in fees from advising on mergers in the first quarter, up 70% from $175 million in the same period of 2014. Merger advisory revenue was up 42% at J.P. Morgan and 50% at Bank of America. Overall investment banking fees were up 14% to $1.2 billion.

Profits in Citi Holdings, where Citigroup stores the "bad bank" assets that it wants to sell, increased to $146 million from a loss of $284 million in the first quarter of 2014. The bank has said it expects Citi Holdings to at least break even for 2015, and it started to turn a profit in the second half of last year.

Citicorp, which houses Citigroup's global consumer and corporate banking divisions, reported a profit of $4.62 billion. That is an increase of about 9% from the $4.23 billion it reported in the same period a year ago. Global consumer banking profits rose 3.8% to $1.73 billion, while profits were roughly flat at $2.93 billion at Citigroup's institutional clients group.

Citigroup slashed expenses 10% to $10.88 billion from $12.15 billion a year earlier. Legal and repositioning costs plunged 65% to $403 million from $1.16 billion in the first quarter of 2014. Citigroup has said it is cooperating with an investigation from the U.S. Department of Justice into potential manipulation in the foreign-exchange market.

Within Citicorp, expenses as a share of revenue were 54% compared with 65% for 2014. Mr. Corbat has said he wants to get the so-called "efficiency ratio" down to the mid-50s for Citicorp in 2015.

Write to Peter Rudegeair at peter.rudegeair@wsj.com

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