Convertible Notes (companies, conversion)

[legofizz]

I have a question on these. After I acquire them, and the maturity date on these notes has been reached, what is the fastest feasible time for conversion and liquidation? Assuming the underlying companies are publicly listed.

On the side note, I am in the process of starting a company that deals primarily in convertible notes up, so I would like to have a greater understanding of the exact process of how these processes would work. Thank you.