The bank sold 5.13 crore shares at an average price Rs 1,565 apiece, which was the lower side of the price band it had set.
The price band, determined by the pricing formula of market regulator Sebi, was fixed at the upper band of Rs 1,629.35 -- around 2 per cent premium on Tuesday's closing price of Rs 1,595.95 a apiece.
Under the Sebi norms, an issuer can offer shares through qualified institutional placement or QIP at a premium or discount of maximum 5 per cent to the Sebi-formulated price band.
Post-equity allotment, government stake will come down to 58.6 per cent from over 62 per cent, the bank added.
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SBI Chairperson Arundhati Bhattacharya said: "QIP saw participation from a wide range of domestic and international investors. That the offering successfully withstood a challenging global and emerging market backdrop underlines the strength of SBI and investor confidence in its equity story."
She further said post-QIP the bank will meet its target of capital raising for the current year. The fresh inflow will substantially augment SBI's capital adequacy ratio.
This round of fund-raising will increase the overall capital adequacy ratio of the bank to 12.81 per cent and the tier I capital adequacy ratio at over 9.67 per cent of assets, the bank said.
Media reports earlier in the day said had it not been for LIC, the issue would have struggled to go through as the nation's largest institutional investor had reportedly pumped in over Rs 3,000 crore into the issue.
Many public sector banks also participated in the share sale with over Rs 2,000 crore worth of bids, while foreign investor response was tepid, according to sources.
This was clear, as a source said, the issue was scheduled to be closed at 8 pm on Wednesday but was kept open at least till 2 pm today.