Investors local and international have powered Commonwealth Bank’s share price to consecutive records even as analysts warn it is the most overvalued lender in Australia.

The bank waltzed to $115.60 on Tuesday, up 0.7 per cent on its previous closing price and a fresh record for the stock. It continued a bull run for CBA – the nation’s largest financial institution – which has pushed the company’s share price higher at the close of trade for much of the previous four weeks.