The Amer Company has the following characteristics: Sales = $1,000, Total assets = $1,000. Total debt/Total assets =35%, Basic Earning Power (BEP) ratio = 20%, Tax rate = 40%, Interest rate on total debt = 4.57%. What is Amer's ROE?

Respuesta :

Answer:

ROE  = 16.98%

Explanation:

The question is to determine Amer Company's Return on Equity

The following steps are taken:

1) The Total Debt ÷ Total Assets = 35%

It means Total Debt ÷  1000= 0.35

Meaning 0.35 x $1,000 = $350 and this is the total debt

2) Calculate Interest on debt

Interest on debt = Interest rate on total debt x total debt

= 4.57% x $350 = $16

3) Now calculate the Net Income from Earnings before Interest and Tax

Earnings before Interest and tax = $200

less interest                                       $16

Earnings Before Tax                       $184

Subtract tax (40% of EBT)                 $73.6

Net income                                       $110.4

4) Calculate the Return on Equity

= Net income/ Shareholders' Equity

= $110.4/ ($1,000-$300)

= 16.98%

Amer's Return on Equity is 16.98%.

Here, we are to calculate the Return on Equity. we will first calculate the Total debt.

Total Debt / Total Assets = 35%

Total Debt / $1,000 = 0.35

Total Debt = 0.35 * $1,000

Total Debt = $350

 

Interest on debt = Interest rate on total debt * Total debt

Interest on debt = 4.57% * $350

Interest on debt = $16

Calculation of the Net Income from Earnings before Interest and Tax.

Particulars                                           Amount

Earnings before Interest and tax         $200

Less: interest                                         $16  

Earnings Before Tax                             $184

Less: Tax (40% of $184)                        $73.6

Net income                                            $110.4

Return on Equity = Net income/ Shareholders' Equity

Return on Equity = $110.4/ ($1,000-$300)

Return on Equity = 16.98%

Therefore, Amer's Return on Equity is 16.98%.

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