All Blacks are understood to own shares in other villages set to take part in the merger.
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Carter has previously told The Press that he had invested in seven retirement villages, including facilities in Blenheim, Nelson and Christchurch.
He was introduced to the retirement sector by Ben Hurst, the son of 1970s All Black Ian Hurst, according to the Christchurch newspaper.
Once the merger is complete, Hercules will have more than 2000 residents, with roughly half accommodated in aged care facilities and the other half in retirement villages.
Shareholders of the 19 villages are expected to meet early next month to approve the transfer of their shares into Hercules in exchange for shares in the new company.
"To complete the transaction, Hercules has undertaken that the company will seek to complete an initial public offering and listing on the NZX main board," the statement said.
"Final details of the offer, including a possible name change, will be finalised by the Hercules board prior to registration of an IPO prospectus."
The offer is intended to raise $50 million to $100 million through the issue of new shares, which Hercules said would be used to pay down debt and provide funds for future growth.
The statement did not provide any details on the timing of the offer.