Answer:
Expected return on equity is 11.33%
Explanation:
Using Weighted Average Cost Capital without tax formula, overall rate of return is given by the formula:
WACC=(Ke*E/V)+(Kd*D/V)
Kd is the cost of debt at 6%
Ke is the cost of equity at 12%
D/E=1/2 which means debt is 1 and equity is 2
D/V=debt/debt+equity=1/1+2=1/3
E/V=equity/debt+equity=2/1+2=2/3
WACC=(12%*2/3)+(6%*1/3)
WACC=10%
If the firm reduces debt-equity ratio to 1/3,1 is for debt 3 is for equity
D/V=debt/debt+equity=1/1+3=1/4
E/V=equity/debt+equity=3/1+3=3/4
WACC=10%
10%=(Ke*3/4)+(6%*1/4)
10%=(Ke*3/4)+1.5%
10%-1.5%=Ke*3/4
8.5%=Ke*3/4
8.5%=3Ke/4
8.5%*4=3 Ke
34%=3 Ke
Ke=34%/3
Ke=11.33%
The variable cost is calculated as -
Sales - Variable cost = Contribution Margin
Given, Contribution Margin = 25 %
Variable cost = 1 - Contribution Margin = 1 - 25 % = 75 %
25 % of Sales = Contribution Margin = $ 400,000
Sales = $ 400,000 ÷ 25 %
Sales = $ 1,600,000
Variable costs = 75% of Sales = 75 % × $ 1,600,000 = $ 1,200,000
$41,600
is the correct answer
please give brainliest
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I hope this helps.
