The Bank of New York Company said yesterday that it had signed a definitive agreement to purchase the corporate trust business of the Nationsbank Corporation.

The Bank of New York Company said yesterday that it planned to buy back up to 16 million shares on the open market through 1996.

The Bank of New York Mortgage Company offers mortgages for unit owners in qualifying co-ops.

The Bank of New York Company said first-quarter earnings rose 14 percent on increased lending and higher revenue in the company's securities-processing business.

One pick was the Bank of New York Company, which has been very active as a custodian and recordkeeper for international investments.

The Bank of New York Mortgage Company is the administering bank for the pool.

The Bank of New York Company reported record earnings that were inflated by a gain on the sale of a business.

Bank of New York Company reached agreement with Irving's preferred shareholders to waive a "poison pill" provision that would block a takeover.

Directors at the Bank of New England Company agreed yesterday to continue studying a proposal to give bondholders 92 percent of the company's equity.

Among other banking companies to report earnings, the Bank of New York Company announced lower profits as it charged off a loss on more bad loans.