Investments, tenth edition



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ROE

(1) 

Net Profit/

Pretax Profit

(2) 

Pretax 

Profit/EBIT

(3) 

EBIT/Sales 

(Margin)

(4) 

Sales/Assets 

(Turnover)

(5) 

Assets/

Equity

(6) 

Compound 

Leverage 

Factor (2) 3 (5)

Bad year


 Nodett

.030


.6

1.000


.0625

0.800


1.000

1.000


 Somdett

.018


.6

0.360


.0625

0.800


1.667

0.600


Normal year

 Nodett


.060

.6

1.000



.1000

1.000


1.000

1.000


 Somdett

.068


.6

0.680


.1000

1.000


1.667

1.134


Good year

 Nodett


.090

.6

1.000



.1250

1.200


1.000

1.000


 Somdett

.118


.6

0.787


.1250

1.200


1.667

1.311


 Table 19.7 

 Ratio decomposition analysis for Nodett and Somdett 

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7/17/13   4:13 PM

7/17/13   4:13 PM

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  C H A P T E R  

1 9


 Financial 

Statement 

Analysis 

647


 A closely related statistic to the interest burden ratio is the    interest  coverage  ratio,      or 

   times  interest  earned.       The  ratio  is  defined  as   

Interest coverage 5 EBIT/Interest expense 

A high coverage ratio indicates that the likelihood of bankruptcy is low because annual 

earnings are significantly greater than annual interest obligations. It is widely used by both 

lenders and borrowers in determining the firm’s debt capacity and is a major determinant 

of the firm’s bond rating. 

 Factor 5, the ratio of assets to equity, is a measure of the firm’s degree of financial lever-

age. It is called the    leverage  ratio    and is equal to 1 plus the total debt-to-equity ratio.  

4

    In  our 



numerical example in  Table 19.7 , Nodett has a leverage ratio of 1, while Somdett’s is 1.667.  

 From our discussion in Section 19.2, we know that financial leverage helps boost ROE 

only if ROA is greater than the interest rate on the firm’s debt. How is this fact reflected in 

the ratios of  Table 19.7 ? 

 The answer is that to measure the full impact of leverage in this framework, the analyst 

must take the product of the interest burden and leverage ratios (i.e., factors 2 and 5, shown 

in  Table 19.7  as column 6). For Nodett, factor 6, which we call the  compound leverage factor,  

remains a constant 1.0 under all three scenarios. But for Somdett, we see that the compound 

leverage factor is greater than 1 in normal years (1.134) and in good years (1.311), indicating 

the positive contribution of financial leverage to ROE. It is less than 1 in bad years, reflecting 

the fact that when ROA falls below the interest rate, ROE falls with increased use of debt. 

 We can summarize all of these relationships as follows. From Equation 19.2,   

ROE 5 Tax burden 3 Interest burden 3 Margin 3 Turnover 3 Leverage 

Because   

 ROA 

5 Margin 3  Turnover 



 (19.3)  

and   


Compound leverage factor 5 Interest burden 3 Leverage 

we can decompose ROE equivalently as follows:   

 ROE 

5 Tax burden 3 ROA 3 Compound leverage factor 



 (19.4)   

 Equation 19.3 shows that ROA is the  product  of margin and turnover. High values of 

one of these ratios are often accompanied by low values of the other. For example, Walmart 

has low profit margins but high turnover, while Tiffany has high margins but low turnover. 

Firms would love to have high values for both margin and turnover, but this generally will 

not be possible: Retailers with high markups will sacrifice sales volume, and conversely, 

those with low turnover need high margins just to remain viable. Therefore, comparing 

these ratios in isolation usually is meaningful only in evaluating firms following similar 

strategies in the same industry. Cross-industry comparison can be misleading. 

  Figure 19.2  shows evidence of the turnover-profit margin trade-off. Industries with high 

turnover such as groceries or retail apparel tend to have low profit margins, while indus-

tries with high margins such as utilities tend to have low turnover. The two curved lines 

in the figure trace out turnover-margin combinations that result in an ROA of either 3% 

or 6%. You can see that most industries lie inside of this range, so ROA across industries 

demonstrates far less variation than either turnover or margin taken in isolation.  

 

  



4

    Assets

Equity

5

Equity



1 Debt

Equity


5 1 1

Debt


Equity

  

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648

P A R T   V

 Security 

Analysis


 Consider two firms with the same ROA of 10% per year. The first is a discount super-

market chain, the second is a gas and electric utility. 

 As  Table 19.8  shows, the supermarket chain has a “low” profit margin of 2% and 

achieves a 10% ROA by “turning over” its assets five times per year. The capital-intensive 

utility, on the other hand, has a “low” asset turnover ratio of only .5 times per year and 

achieves its 10% ROA through its higher, 20%, profit margin. The point here is that a 

“low” margin or asset turnover ratio need not indicate a troubled firm. Each ratio must 

be interpreted in light of industry norms.  



 Example  19.3 

Margin versus Turnover 

0.5

1.0


1.5

Asset Turnover

2.0

2.5


3.0

0.0


0

2

4



Profit Margin (%)

6

8



10

12

14



ROA 

= 6%


Utilities

Oil & Gas

Extraction

Amusements

Hotels

Petroleum



Personal Services

Food Products

Transportation

Equipment

Restaurants

Industrial

Equipment

Wholesalers–

Nondurables

Wholesalers–

Durables

Retailing–Apparel

Retailing–General

Merchandise

Grocery Stores

Paper


Lumber

Metals


Communications

Agricultural

Production

Printing and Publishing

Airlines

Health Services

ROA 

= 3%


 Figure 19.2 

Median ROA, profit margin, and asset turnover for 23 industries, 1990–2004  

 Source: “Figure D: ROAs of Sample Firms (1977–1986)” from Thomas I. Selling and Clyde P. Stickney, ”The Effects of Business Environ-

ments and Strategy on a Firm’s Rate of Return on Assets.” Copyright 1989. CFA Institute, Reproduced and republished from  Financial 



Analysis Journal,  January–February 1989, pp. 43–52, with permission from the CFA Institute. All rights reserved. Updates courtesy of 

Professors James Wahlen, Stephen Baginski, and Mark Bradshaw. 

 Do a ratio decomposition analysis for the Mordett Corporation of Concept Check 1, preparing a table 

similar to  Table 19.7 . 

 CONCEPT CHECK 

19.2 

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bod61671_ch19_635-677.indd   648

7/17/13   4:13 PM

7/17/13   4:13 PM

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  C H A P T E R  

1 9


 Financial 

Statement 

Analysis 

649



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