Before computers, paper certificates were mailed to you - the investor - with your actual name printed on every share you own. Nowadays book entries are used in place of paper certificates. Originally, this was intended purely to speed up the process and get rid of unnecessary paperwork. The multiple institutions created to handle the book entries and clearing of trades have, over the course of the few decades, merged into a single private organization known as the DTCC (Depository Trust and Clearing Corporation).
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When you use a broker to buy stock the DTCC’s subsidiary, the DTC (Cede & Co.) is the name that is entered on the “books” at Computershare for every single broker held share. You are only the “beneficial owner” on your broker’s books, who is the “beneficial owner” on the DTCC’s books. The DTCC is the primary owner, the broker the secondary owner, and the average investor is a tertiary owner on the share that they bought and paid for.
The only way for an average investor to be the primary owner of any shares of stock they purchase is to direct register that stock with the transfer agent for the company. It puts them on the same level of ownership as the DTCC - directly registered in the ledger of the company whose stock they own. Direct registered stockholders have true possession of their investment and are listed by name in the company’s ledger. Shareholders who hold through brokerage companies cede their ownership rights to others (like the DTCC’s "Cede & Co" & broker-dealers). Leaving them vulnerable to short selling.
Also you can DRS shares held in a retirement (IRA) account. Its a bit more involved and can cause tax events. This website gives guides on how to do it:
There are multiple ways to directly register your shares from your IRA
These guides work for any US company and any US transfer agent. Just swap out GameStop's and Computershare's details for your company and transfer agent.
For people unsure about the whole DRS thing, this website explains a lot.
It's specifically for GME and their transfer agent Computershare, but a lot of the info is the same for any transfer agent (like Odyssey).
https://www.drsgme.org/why-register-shares
Also you can DRS shares held in a retirement (IRA) account. Its a bit more involved and can cause tax events. This website gives guides on how to do it: