$4.$ MLK$,$ LLC$.,$ has sold shoes for over $112$ years. The company currently has debt$-$equity ratio of $2\mathrm{.}7$ and a tax rate of $\backslash (42\backslash \%\backslash ).$ The required return of the firm's levered equity is $\backslash (30\backslash \%\backslash ).$ The company is planning an expansion in its production capacity. They will buy an equipment that it is expected to generate the following unlevered differential free cash flows: At Year $0,$ the initial investment would be $\backslash (-\backslash$$ $11,400,000\backslash ).$ At Year $1$ the FCF would be $\backslash (\backslash$$ $5,363,875\backslash ).$ At Year $2$ the FCF would be $\backslash (\backslash$$ $10,173,584\backslash ).$ At Year $3$ the FCF would be $\backslash (\backslash$$ $19,985,461\backslash ).$ a$)$ What would be the value of the project if they finance strictly with equity? HINT: You need to compute R$0$ b$)$ The company has arranged a debt issue of $\backslash (\backslash$$ $9,660,000\backslash )$ to finance the expansion. Under the loan, the company would pay interest of $\backslash (11\backslash \%\backslash )$ at the end of each year on the outstanding balance at the beginning of the year. If they take the debt, the company would also make year$-$end payments of one third of the debt, completely retiring the issue by the end of the third year. What would be the value of the project if the company finances with the proposed debt and computes the APV? HINT: The debt is amortized c$)$ The company has arranged a bond debt issue of $\backslash (\backslash$$ $9,660,000\backslash )$ to finance the expansion. Under the bond, the company would pay interest of $\backslash (11\backslash \%\backslash )$ at the end of each year. If they take the debt, the company would pay the debt outstanding at the end of the third year. What would be the value of the project if the company finances with the proposed debt and computes the APV? HINT: The debt is not amortized d$)$ If the debt is not amortized, based on the Flow to Equity, What would be the value of the project? HINT: You already have Rs$,$ compute the Levered Cash Flows e$)$ Assume that MLK$,$ LLC target debt$-$to$-$equity ratio is $2\mathrm{.}2.$ Considering the WACC approach, What would be the value of the project? HINT: Determine the target weights for Equity and Debt