The Global Connections Corporation has a current market capitalization of $$1$ billion. It considers an investment with initial outlay of $$100$ million. The investment increases the net cash flows by $15$ million per year for the indefinite future. GCC faces a tax rate of $30\%,$ has $20\%$ debt in its capital structure which it seeks to maintain in the new project. The firms debt is risk free, at $8\%.$ The relevant interest rate for investment in this line of business is $10\%.$

$(1)$ Calculate the value of the project as if it was all equity financed $(2)$ Use the WACC method to evaluate the project.

$(3)$ Use the Adjusted PV method to evaluate the project.

$(4)$ Use the Flow to Equity method to evaluate the project