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Nucor Corporation produces steel and steel products at its eight mills and is a major recycler of scrap metal. The following
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Answer #1

Ans 1) ROA is caculated by dividing net income by average total assets = net income/average total assets

Step 1 ) Total average asset = (previous year asset+ current year asset)/2

Particulars 2015 2016 2017 2018
Total Asset 14327 15223.5 15841.3 17920.6
Average Asset (14327+15223.5)/2 (15223.5+15841.3)/2 (15841.3+17920.6)/2
$14775.25 $15532.4 $16880.95

Step2 ) Net income without any one time effect = net income - one time effect of tax cut and job act

Particulars 2015 2016$ 2017 2018
Net Income 900.4 1380.6 2481.1
One Time effect of tax cut and job effect -175.2
Net Income without any one time effect $900.4 $1205.4 $2481.1

Step3) ROA = Net income/Average Total Asset

Particulars 2015 2016 2017 2018
Net Income without any one time effect 900.4 1380.6 2481.1
Average asset 14775.25 15532.4 16880.95
ROA(net income/average total asset) 6% 9% 15%

Ans2) decomposing ROA into operating profit margin and asset turnover component

operating profit margin = Net income /total turnover

Asset turnover = total turnover/average asset

ROA = operating profit margin * Asset Turnover

Net income/Average Total Asset = (Net Profit/Total Sales) * (Total Sales/Average total asset)

Particulars 2015 2016 2017 2018
Average Asset 14775.25 15532.4 16880.95
Total Sales 16208.1 20252.4 25067.3
Net Income without any one time effect 900.4 1380.6 2481.1
Operating Margin ( Net income/Total Sales) 5.56 6.82 9.90
Asset Turnover 1.10 1.30 1.48
ROA (Operating profit margin * Asset Turnover ratio) Approx 6.09 8.89 14.70

Ans 3) Yes, Nucor's profitability has increased on yearly basis. This can be concluded from operating margin calculated above.In addtiion to this net income without considering one time effect also depict increase in the profitability of the organization.

Ans4) Rate of return on common stockholder's equity is calculated as = earnings available to shareholder/ average common stock equity.

Particulars 2015 2016 2017 2018
Net Income without any one time effect 900.4 1380.6 2481.1
common stockholder's equity 7849.9 8254.7 9084.8 10202
Average common stockholder's equity( (previous year equity+current year equity)/2) 8052.3 8669.75 9643.4
Rate of return 11% 16% 26%
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Answer #2

- PART 1


ROA = Earnings before interest and one-time tax benefits


201620172018
Net Income900.41,380.62,481.1

Minus one-time 

tax benefit)

0(175.2)0

Plus Interest 

expense (after-tax)

169.2(1-0.37)

106.596

173.6(1-0.37)

109.368

135.5(1-0.23)

104.335

Earnings Before

Interest (EBI)

1,006.9961,314.7682,585.435

Assets Begining 

of Year 

14,327.015,223.515,841.3

Assets End

of Year 

15,223.515,841.317,920.6

Average Assets

(Begining + Ending)/2

14,775.2515,532.416,880.95

ROA (EBI 

/ Average Assets)

6.82%8.46%15.32%


- PART 2


To calculate operating margin and asset turnover we use these formulas:


Operating profit margin = Earnings before interest EBI / Sales

Asset turnover = Sales / Average Assets


So we can use the calculations we already did to find these values. 



201620172018

Earnings Before

Interest (EBI)

1006.9961314.7682585.435
Sales16,208.120,252.425,067.3

Operating Profit

Margin (EBI/Sales)

6.21%6.49%10.31%

201620172018
Sales16,208.120,252.425,067.3

Average Assets

14,775.2515,532.416,880.95

Asset Turnover 

(Sale/Avg Assets)

1.10


1.30
1.48


- PART 3


Has Nucor's profitability changed over the three years?


Based on their operating profit margin we calculated we can see that their profitability has changed, so yes. 


- PART 4 


The formula for the rate of return on common stockholders' equity is:

(Net Income - Prefered Dividends) / Average Stockholder's Equity


We don't have any preferred dividends in this question so they can be excluded.



201620172018

Net Income (adjust for one time 

tax benifit)

900.4

1,380.6 - 175.2

1205.4

2,481.1

Average 

stockholder's 

equity

(beg se+ end se)/2

(7,849.9 + 

8,254.7) / 2

8,052.3

(8,254.7 +

9,084.8) / 2

8,669.75

(9,084.8 +

10,202.0) / 2

9,643.4

Return on Common

Stockholder's Equity

(ROCE)

11.18%
13.90%25.73%


source: Working on this problem in an online textbok
answered by: Everett Greenwood
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