George Osborne renewed his commitment to promote competition in retail banking on Wednesday, and inquired into the effects of mandatory branch sales by Lloyds and RBS.
Bankers who are reckless with customers' or taxpayers' money could face criminal charges and have bonuses and pensions clawed back.
Chris Wheeler, bank analyst at Mediobanca, expects the U.K. Chancellor to outline his plans for the privatization of Lloyds and RBS next week.
European shares closed slightly lower on Monday, dragged down by miners following warnings from analysts that Chinese growth would slow further after weaker than expected trade data.
Lloyds Banking Group Chairman Win Bischoff is to retire in the next year, handing the reins to a successor who must steer it through a potentially risky multi-billion pound government share sale.
The head of the Co-operative Bank stepped down on Friday, after agency Moody's downgraded its debt ratings and said it might have to ask for money to bolster its capital.
Investors cheered HSBC first quarter results on Tuesday, but analysts said the bank's profit-beat was misleading, and recommended RBS and Lloyds shares.
Cormac Leech, bank equity researcher at Liberum Capital, says HSBC's results are disappointing and advises switching to Lloyds and RBS.
Royal Bank of Scotland is expected to report its first quarterly profit in 18 months on Friday, the fruit of efforts to focus on bread and butter lending.
John Nelson, Lloyd's of London chairman, explains why the insurance sector as a whole is returning to profitability, despite several global catastrophes.
After five long years of deleveraging, the U.K. banking sector finally looks ready to make a comeback, with 2013 set to be a turnaround year.
European shares pared gains on Tuesday to close lower, after a raft of euro zone economic data softened earlier rises from positive earnings reports.
David Enrich, European banking editor at Wall Street Journal, discusses European banks' quarterly results and says the positive outcome of the crisis is that banks have refocused on core areas.
Simon Maughan, financials sector strategist at Olivetree Financial Group, tells CNBC that investors are looking for progress on capital, progress on earnings and a dividend, which is what Lloyds Banking Group is about.
European shares closed higher on Monday after Italy's new Prime Minister announced his reform plans in his maiden speech to parliament.
The Bank of England's Funding for Lending Scheme (FLS) is like a "pretty bandaid" for the banking sector, one economist told CNBC on Wednesday after the central bank expanded the program.
Britain's biggest retail bank Lloyds received more complaints than any of its rivals in the second half of 2012, data published by the U.K.'s financial regulator showed.
James Crosby, former boss of failed British bank HBOS, offered on Tuesday to give up his knighthood and nearly a third of his pension after being denounced by lawmakers for the "colossal failure" that led to his bank's collapse.
Bank chiefs at HBOS, once one of Britain's biggest banks, were condemned as a "model of self-delusion", in a damming report by Britain's Banking Standards Commission on Friday.
Patrick Jenkins, banking editor at Financial Times, tells CNBC that the HBOS report will lift the lid on a culture "driven by seeking profit at all costs" which should provide lessons for the future.