MaybeGood Inc $($MG$)$ is a specialized entity that is raising $$100$MM in equity capital $($representing $100\%$ ownership of the firm$).$ The firm's management is telling potential investors that it hopes to grow the $$100$MM into $$150$MM in $2\mathrm{.}2$ years. At this time $(2\mathrm{.}2$ years from now$),$ MG will pay its owners the amount the $$100$MM has grown to $($hopefully $$150$MM$)$ and close down the entity.

What is MG$\text{'}$s cost of equity capital, rE$?$