Pacific Packaging's ROE last year was only 3%; 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 $470,000. The firm has no plans to use preferred stock and total assets equal total invested capital. Management projects an EBIT of $780,000 on sales of $10,000,000, and it expects to have a total assets turnover ratio of 2.8. Under these conditions, the tax rate will be 35%. If the changes are made, what will be the company's return on equity

Respuesta :

Answer: 12.53%

Explanation:

EBIT = $780,000

Interest = $470,000

EBT = EBIT - Interest

= $780,000 - $470,000

= $310,000

Net Income = EBT - Tax

= $310,000 - (35% × $310,000)

= $310,000 - (0.35 × $310,000)

= $310,000 - $108,500

= $201,500

Total assets turnover ratio = 2.8

Total assets = $10,000,000/2.8

= 3,571,429

Debt ratio = 55% = 0.55

Debt/Total asset = 0.55

Debt/3,571,429 = 0.55

Debt = 0.55 × 3571429

= 1,964,286.4

Equity = 0.45 × 3571429

= $1607143.5

Return on equity = Net income/Equity

= $201,500/$1,607,143.5

= 0.1253

= 12.53%

The company's return on equity will be 12.53%.