The Use of Ratio Analysis and The Clientele Effect (Math Problem Sample)
EXCERPT OF THE Math problem 
Arrow technology, INC (ATI) has total assets of $10 million and expected operating income (EBIT) of $2.5 million. If ATI uses debt in its capital structure, the cost of this debt will be 12 percent per annum. tHE QUESTION REQUIRED THE USE OF RATIO ANALYSIS. AMONG THE RATIOS USED INCLUDE profitability ratio such as EBIT, RETURN ON EQUITY ET AL..Explain ation on what is meant by the clientele effect
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Section 13-10: Question six
Debt ratio (Debit/total asset)
 
 
0%
 
25%
 
50%
 
Total assets
 
10,000,000
 
10,000,000
 
10,000,000
 
Debt (@ 12% interest)
 
0
 
2,500,000
 
5,000,000
 
Equity
 
10,000,000
 
7,500,000
 
5,000,000
 
Total liability and equity
 
10,000,000
 
10,000,000
 
10,000,000
 
Expected operating income (EBIT)
 
2,500,000
 
2,500,000
 
2,500,000
 
Less interest (@ 12%)
 
0
 
(300,000)
 
(600,000)
 
Earnings before tax
 
2,500,000
 
2,200,000
 
1,900,000
 
Less: income tax @ 40%
 
(1,000,000)
 
(880,000)
 
(760,000)
 
Earning after tax
 
1,500,000
 
1,320,000
 
1,140,000
 
Return on equity
 
15%
 
17.6%
 
22.8%
 
Effects of 20% decrease in EBIT to $2,000,000
 
Expected operating income (EBIT)
 
2,000,000
 
2,000,000
 
2,000,000
 
Less: interest (@ 12%)
 
0
 
(300,000)
 
(600,000)
 
Earnings before tax
 
2,000,000
 
1,700,000
 
1,400,000
 
Less: income tax @ 40%
 
(800,000)
 
(680,000)
 
(560,000)
 
Earning after tax
 
1,200,000
 
1,020,000
 
840,000
 
Return on equity
 
12%
 
13.6%
 
16.8%
 
Effects of 20% increase in EBIT to $3,000,000
 
Expected operating income (EBIT)
 
3,000.000
 
3,000,000
 
3,000,000
 
Less: interest (@ 12%)
 
0
 
(300,000)
 
(600,000)
 
Earnings before tax
 
3,000,000
 
2,700,000
 
2,400,000
 
Less: income tax @ 40%
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