Last year Mason Inc. had a total assets turnover of 1.33 and an equity multiplier of 1.75. Its sales were $145,000 and its net income was $10,549. The CFO believes that the company could have operated more efficiently, lowered its costs, and increased its net income by $5,250 without changing its sales, assets, or capital structure. Had it cut costs and increased its net income in this amount, by how much would the ROE have changed?
Return on equity (ROE)=Net income/ Shareholders Equity
=(Net income/Sales)*(Sales/Total Assets)*(Total Assets/Shareholders
Equity)
Net income/Sales is called as profit margin
Sales/Total Assets is called as asset turnover
Total Assets/Shareholders equity is called as financial leverage or
equity multiplier.
ROE=(Net income/Sales)*(asset turnover)*(equity
multiplier)
=(10549/145000)*1.33*1.75=0.169329638
When the net income is increased by $5,250, new net income is
10549+5250=15799, new ROE will be:
=(15799/145000)*1.33*1.75=0.25360119
Change in ROE=0.25360119-0.169329638=0.084271552 or 8.43%
(Rounded to two decimal places)
So, the ROE would increase by 8.43%
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