
Respuesta :
Answer and Explanation:
The computation is shown below:
a. The current value of the company is
As it is mentioned that the company has no debt that means it is unlevered firm that is equivalent to unlevered value of the company Â
Unlevered value of the firm = Â Vu Â
Vu = EBIT ×  (1 - tax rate ) ÷ unlevered Cost of Equity
= EBIT × (1 - tax rate ) ÷ R0 Â
= $25,000  ×  (1 -  0.22 ) ÷ 12% Â
= $162,500 Â
b-1.
The computation of the value of the firm in the case when the value of the firm is equivalent to 50% of unlevered value
VL = Vu + Borrowing × tax rate Â
where, Â
Debt = borrowing = 50% × unlevered value of company Â
Debt = borrowing = 50% x Vu Â
So,
VL = Vu + Borrowing x tax rate Â
VL = $162,500 + ($162,500 × 50%) × 22% Â
= $162,500 + $17,875 Â
= $180,375 Â
b-2.
The computation of the value of the firm in the case when the value of the firm is equivalent to 100% of unlevered value
Levered value of the firm VL Â
VL = Vu + Borrowing × tax rate Â
Debt = borrowing = 100% × unlevered value of company Â
Debt = borrowing = 100% × Vu
So, Â Â
VL = Vu + Borrowing x tax rate Â
= $162,500 + ($162,500 × 100%) × 22% Â
= $162,500 + 35,750 Â
= $198,250 Â
C.1.
The computation of the value of the firm in the case when the value of the firm is equivalent to 50% of the levered value
VL = Vu + Borrowing × tax rate Â
= Vu + (VL × 50%) × tax rate Â
VL = Vu + (VL × 50%) × 22% Â
VL = Vu + 0.11 VL Â
VL - 0.11 VL = 162,500 Â
0.89 VL = 162,500 Â
VL= 182,584.27 Â
C.2.
The computation of the value of the firm in the case when the value of the firm is equivalent to 100% of the levered value Â
Levered value of the firm VL Â
VL = Vu + Borrowing x tax rate Â
VL = Vu + (VL × 100%) × tax rate Â
= Vu + (VL × 100%) × 22% Â
= Vu + 0.22 VL Â
VL - 0.22 VL = 162,500 Â
0.78 VL = 162,500 Â
VL= $208,333.33