Question

Last year Mason Inc. had a total assets turnover of 1.33 and an equity multiplier of 1.75. Its sales were $320,000 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? Select the correct answer. a. 4.38% b. 2.14% c. 3.26% d. 3.82% e. 2.70%

Answer 1

Answer: d. 3.82%

Explanation:

ROE = Net Income / Equity so Equity need to be ascertained.

1.75 = Total Assets/ Total Equity

Total Equity = Total Assets/ 1.75

1.33 = Revenue / Total Assets

Total Assets = Revenue / 1.33

= 320,000/1.33

= $240,601.50

Total Equity = 240,601.50/1.75

= $137,486.57

Old ROE = 10,549/ 137,489.57

= 0.07672582

= 7.67%

New ROE = (10,549 + 5,250) / 137,489.57

= 0.11491053466

= 11.49%

Difference = 11.49 - 7.67

= 3.82%