Staff at Bank of Ireland, the country’s largest bank by assets, are set to receive their first pay increase in six years after the part state-owned lender reached an agreement with its largest trade union on Friday. Bank of Ireland said the new proposals would increase salaries by 1.75 percent this year, back-dated to July, and by 2 percent from January. The bank, Ireland’s only lender to escape nationalisation, reported a profit for the first time in five years in August.