Question

Last year Oliver Inc had a total assets turnover of 1.60 and an equity multiplier of 1.85. Its sales were $200,000 and its net income was $10,000. The CFO believes that the company could have operated more efficiently, lowered its costs, and increased its net income by $5,000 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

Answer 1

7.4%

Step-by-step explanation:

As we know that

ROE = Profit margin × Total asset turnover × Equity multiplier

where,

Profit margin = (Net income ÷ Sales) × 100

= ($10,000 ÷ $200,000) × 100

= 5%

So, the ROE would be

= 5% × 1.60 × 1.85

= 14.8%

Now if the net income is increased by $5,000

So, the updated profit margin would be

= (Net income ÷ Sales) × 100

= ($15,000 ÷ $200,000) × 100

= 7.5%

And updated ROE would be

= 7.5% × 1.60 × 1.85

= 22.2%

So, the change in ROE would be

= 22.2% - 14.8%

= 7.4%