US private equity firm Bain Capital will raise its offer price for Japan’s Fuji Soft by about 1.6 per cent, it said on Wednesday, beating a recently increased tender offer from rival KKR. The increase in Bain’s offer price to 9,600 yen ($62.88) per share marks the latest salvo in the ongoing battle between the two private equity giants for the $4bn software maker. US$4BN.