Pacific Packaging's ROE last year was only 6%; but its management has developed a new operating plan that calls for a debt-to-capital ratio of 55%, which will result in annual interest charges of $152,000. The firm has no plans to use preferred stock and total assets equal total invested capital. Management projects an EBIT of $452,000 on sales of $4,000,000, and it expects to have a total assets turnover ratio of 3.6. Under these conditions, the tax rate will be 40%. If the changes are made, what will be the company's return on equity

36%

Explanation:

For the computation of the company's return on equity first we need to follow some steps which is shown below:-

Step 1

Earnings before tax = EBIT - Interest

= $452,000 - $152,000

= $300,000

Step 2

Earnings after interest and taxes = Earnings before tax - Tax

= $300,000 - ($300,000 × 40%)

= $300,000 - $120,000

= $180,000

Step 3

Asset turnover ratio = Total revenue ÷ Total assets

3.6 = $4,000,000 ÷ Total assets

Total assets = $1,111,111.11

Step 4

Equity ratio = 1 - Debt ratio

= 1 - 0.55

= 0.45

Step 5

Total Equity = Equity ratio × Total assets

= 0.45 × $1,111,111.11

= $500,000

and finally

Return on Equity = Net income ÷ Equity

= $180,000 ÷ $500,000

= 0.36

or

= 36%

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