The offer received bids for over 215 crore shares against the total issue size of more than 25 crore shares, data available with the NSE till 1900 hours showed.
Institutional Investors' category was oversubscribed 10.81 times and other investors 5.89 times.
"We are grateful to all investors for their overwhelming response to India's first ever InvIT Fund IPO. This is indicative of the trust and confidence shown by them in IRB Infra, which has a proven track record of successfully executing large BOT projects across all terrains of country.
IRB InvIT Fund on Tuesday raised around Rs 2,100 crore from anchor investors.
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The IPO, the first in the InvIT space, has a price band of Rs 100-102.
InvITs or infrastructure investment trusts are those debt instruments that will be traded in the market and can act as investment vehicles for sponsors.
The listing of instruments will enable promoters to monetise completed assets and raise funds for other long-term projects.
The InvIT trust has six operational road assets and the proceeds from the IPO will be utilised mostly to repay the debt of its special purpose vehicles (SPVs) created for the toll-road projects.
As per the InvIT regulation, the sponsor will hold 15 per cent units for an initial three years.
IDFC Bank, Credit Suisse Securities and ICICI Securities are the lead managers.
"This issuance opens up a new avenue in infrastructure financing introducing the concept of unit capital which we would see considerable amount of money being raised through this route in the next few months," ICICI Securities Ltd MD and CEO Shilpa Kumar said.