Question

Duffert Industries has total assets of $1,080,000 and total current liabilities (consisting only of accounts payable and accruals) of $100,000. Duffert finances using only long-term debt and common equity. The interest rate on its debt is 7% and its tax rate is 40%. The firm's basic earning power ratio is 15% and its debt-to capital rate is 40%. What are Duffert's ROE and ROIC? Do not round your intermediate calculations.

Answer 1

Answer:

ROIC is 9.26%

ROE is 12.63%

Explanation:

According to the given data we have the following:

Total assets = $1,080,000

Total liabilities = Current liabilities + Debt + Common equity = $1,080,000

D/(D + E) = 0.40

D / ($1,080,000 - 100,000) = 0.40

D = $392,000

Common equity = Total liabilities - Current liabilities - Debt = $1,080,000 - 100,000 - 392,000= $588,000

BEP = 0.15 = EBIT/TA

= EBIT/$1,080,000

Therefore, EBIT = $162,000

In order to calculate the ROIC we would have to make the following calculation:

ROIC = [EBIT(1 – T)]/(D + E) = [$151,200(0.6)]/($392,000 + $588,000) = 9.26%

ROIC is 9.26%

To calculate the ROE we would have to calculate first net income from income statement as follows:

EBIT=$151,200

Less: Interest ($392,000 x 7%) 27,440

EBT= 123,760

Less: Tax 40% 49,504

Net Income= 74,256

Therefore, ROE = NI/E = $74,256/$588,000 = 12.63%

ROE is 12.63%