what will be its new ebit if sales drop to 60,00,000
Answers
Solution:
Given,
Sales = 85, 00,000
Variable Cost = 52, 00,000
Fixed Cost = 7, 00,000
Debts = 55, 00,000 (9%)
Equity Capital = 65, 00,000
Therefore, Contribution = sales-variable cost = 85, 00,000-52, 00,000=33, 00,000
EBIT (Earnings before Interest and Tax) = Contribution-fixed cost
EBIT=33, 00,000-7, 00,000=26, 00,000
\text { operating Leverage }=\frac{\text {Contribution}}{\text {EBIT}}=\frac{33,00,000}{26,00,000}=1.27
\text {Financial Leverage}=\frac{\text {Debt}}{\text {Equity}}=\frac{55,00,000 \times \frac{9}{100}}{65,00,000}=\frac{495000}{6500000}=0.076
\text { Combined Leverage }=\text { operating Leverage } \times \text { Financial Leverage }=1.27 \times 0.076=0.097
New EBIT after sales drop,
EBIT= 60, 00,000-52, 00,000-7, 00,000=1, 00,000
New EBIT after sales drop is 1, 00,000
The operating, financial and combined leverage is 1.27, 0.076 and 0.097 respectively
The new EBIT if sales drop to 60,00,000 is 1,00,000
Explanation:
a. The computation of the operating leverage is shown below:
= (Sales - Variable costs) ÷ (Sales - Variable costs - Fixed costs)
= (85,00,000 - 52,00,000) ÷ (85,00,000 - 52,00,000 - 7,00,000)
= 33,000,000 ÷ 26,00,000
= 1.27
The (Sales - Variable costs) = Contribution margin
The (Sales - Variable costs - Fixed costs) = EBIT
b. The computation of the financial leverage is shown below:
= (Debt) ÷ (Equity)
where,
Debt is
= Debt × interest rate
= 55,00,000 ×9%
= 4,95,000
And, the equity is 65,00,000
So, the financial leverage is
= 4,95,000 ÷ 65,00,000
= 0.076
c. The computation of the combined leverage is shown below:
= Operating leverage × Financial leverage
= 1.27 × 0.076
= 0.097
And, the new EBIT is
= Sales - Variable costs - Fixed costs
= 60,000,000 - 52,00,000 - 7,00,000
= 1,00,000
We simply applied the above formulas so the computation can be done in easily manner.
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