Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Given two companies with identical net income but different equity levels, which of the following statements about their Return on Equity (ROE) is correct?
A
The company with lower equity will have a higher ROE.
B
ROE is not affected by the amount of equity.
C
Both companies will have the same ROE.
D
The company with higher equity will have a higher ROE.
Verified step by step guidance
1
Understand the concept of Return on Equity (ROE). ROE is a financial ratio that measures a company's profitability relative to its equity. The formula for ROE is: ROE = (Net Income) / (Shareholder's Equity).
Analyze the relationship between net income and equity in the ROE formula. If two companies have the same net income but different equity levels, the company with lower equity will have a higher ROE because the denominator (equity) is smaller.
Consider the implications of the ROE formula. A smaller equity base amplifies the ROE value for the same net income, while a larger equity base reduces the ROE value.
Evaluate the given options based on the formula and reasoning. The correct statement is: 'The company with lower equity will have a higher ROE.' This is because ROE is inversely proportional to equity when net income is constant.
Reject the other options. 'ROE is not affected by the amount of equity' is incorrect because equity directly impacts the ROE calculation. 'Both companies will have the same ROE' is incorrect because their equity levels differ. 'The company with higher equity will have a higher ROE' is incorrect because higher equity reduces ROE for the same net income.