All questions
Question 1
A company's revenue per salesperson improved from $1,200,000 to $1,600,000 over two years. During the same period, the sales force was reduced by 25%. Which additional analysis is most important before concluding productivity improved?
- The improved ratio confirms the remaining sales force became more productive
- Revenue per salesperson is the best and only measure of sales force effectiveness
- Headcount reduction always improves per-person productivity ratios and should be viewed positively
- Headcount reduction mechanically increases revenue per salesperson even without any revenue improvement; the analysis should examine whether total revenue and customer coverage changed to determine if the ratio improvement reflects genuine productivity (correct answer)
Explanation: A 25% reduction in sales force headcount mechanically increases revenue per salesperson. If total revenue remained flat and headcount fell 25%, revenue per salesperson rises by approximately 33% (from $1.2M to $1.6M) with no actual productivity improvement. The critical questions are: Did total revenue grow, shrink, or hold flat? Did the company lose customers or market coverage as a result of the headcount reduction? A ratio that improves solely through denominator reduction should not be interpreted as genuine productivity improvement without verifying the numerator trend. Option A accepts the ratio change uncritically. Option B is an overstatement. Option C treats headcount reduction as inherently positive without considering revenue impact.
Question 2
A company reports net income of $1,248,000, beginning total assets of $8,000,000, and ending total assets of $9,600,000. What is the return on assets (ROA)?
- 14.2% (correct answer)
- 15.6%
- 13.0%
- 12.5%
Explanation: Average total assets = ($8,000,000 + $9,600,000) / 2 = $8,800,000. ROA = $1,248,000 / 8,800,000=14.21,248,000 / 8,000,000=15.61,248,000 / $9,600,000 = 13.0%). Option D applies an incorrect denominator. Question 3
A company's free cash flow yield is 2.5% (FCF divided by market cap) while its earnings yield (EPS divided by price) is 6.5%. Which concern does this large gap raise?
- The high earnings yield confirms the stock is undervalued and should be purchased
- The large gap between earnings yield and FCF yield suggests earnings quality concerns - reported earnings far exceed actual free cash flow, pointing to non-cash earnings or high reinvestment requirements (correct answer)
- FCF yield is always a less reliable metric than earnings yield for performance evaluation
- The gap is normal and merely reflects standard accrual accounting differences between earnings and cash
Explanation: When earnings yield (a measure of reported profitability) is nearly three times FCF yield (a measure of actual cash generation), the company is recognizing earnings that are not being converted into cash. This can result from: high non-cash income components (favorable fair value adjustments), aggressive revenue accruals, or high reinvestment requirements (capex exceeds depreciation). The large divergence warrants investigation into the quality and sustainability of reported earnings. Option A focuses on only one metric and ignores the divergence signal. Option C is incorrect; FCF yield is often considered a higher-quality metric because cash is harder to manipulate than accrual earnings. Option D understates a nearly 4-percentage-point gap as routine accrual differences.
Question 4
A company has weighted average shares outstanding of 5,000,000 and net income of $8,500,000. What is basic earnings per share?
- $1.30
- $2.50
- $0.40
- $1.70 (correct answer)
Explanation: Basic EPS = Net income / Weighted average shares outstanding = $8,500,000 / 5,000,000 = $1.70. Option A divides by 6,538,000 shares. Option B divides by 3,400,000 shares. Option C divides by 21,250,000 shares, which is far larger than the stated share count.
Question 5
A company generates total revenue of $24,000,000 and has 300 full-time employees. What is revenue per employee?
- $120,000
- $60,000
- $80,000 (correct answer)
- $96,000
Explanation: Revenue per employee = Total revenue / Number of employees = $24,000,000 / 300 = $80,000. Option A divides by 200 employees. Option B divides by 400 employees. Option D divides by 250 employees.
Question 6
A company's operating margin improved from 18% to 26% over two years. Further analysis shows depreciation declined from 8% to 3% of revenue as assets became fully depreciated. Which concern does this raise about using operating margin as a performance indicator?
- Operating margin improvement always reflects genuine operational improvement
- Declining depreciation improves operating margin and also signals prudent asset management
- The margin improvement may be partially mechanical - as assets become fully depreciated, depreciation expense declines, directly reducing operating expenses and improving operating margin without any change in underlying revenue-generating ability, while future capital replacement needs may be building (correct answer)
- Depreciation is a non-cash charge and therefore should never affect the interpretation of any operating performance metric
Explanation: Operating margin = EBIT / Revenue = (Revenue - COGS - SGA - D&A) / Revenue. Unlike EBITDA, operating margin includes depreciation as a deduction, so a decline in D&A directly and mechanically reduces operating expenses and improves the margin percentage. In this case, a 5-percentage-point decline in D&A as a share of revenue can account for much of the observed 8-point operating margin improvement, with no necessary change in sales effectiveness, pricing power, or cost discipline. The secondary concern is that fully depreciated assets will eventually require capital replacement; future D&A will rise again (or capex will consume cash), making the current margin improvement partially temporary. Option A accepts margin improvement at face value without examining its source. Option B incorrectly frames asset aging as prudent management rather than a capital replacement risk. Option D overstates the case; depreciation is a non-cash charge but it is a direct component of operating expenses and absolutely affects operating margin calculations.
Question 7
A technology company's metrics over four years show: revenue growth decelerating from 45% to 12%; gross margin stable at 68%; operating losses narrowing from -25% to -8% of revenue. Which performance evaluation is most analytically complete?
- The company is failing because it continues to report operating losses
- The company is performing well because gross margin is high and losses are narrowing
- The revenue growth deceleration is the most critical signal - the path to profitability depends on reaching sufficient scale before growth slows further; stable gross margins and narrowing losses are positive but growth trajectory determines whether unit economics will ultimately cover fixed costs (correct answer)
- Operating losses are irrelevant for growth-stage technology companies and should not be considered
Explanation: For a growth-stage company with a high gross margin and fixed-cost-heavy operating structure, the path to profitability depends on growing revenue to a level where the contribution margin covers fixed operating costs at scale. The deceleration from 45% to 12% growth is the pivotal concern: if growth continues to slow before the company reaches the scale required for positive operating income, losses may persist or widen even as the margin percentage improves. Stable gross margins (68%) and narrowing losses are genuinely positive signals, but they are only part of the story. Option A dismisses positive leading indicators by focusing only on current losses. Option B is correct directionally but incomplete. Option D incorrectly dismisses operating losses as irrelevant.
Question 8
Company X has: revenue growth 25%, gross margin 35%, operating margin 3%, free cash flow yield -2%. Company Y has: revenue growth 8%, gross margin 42%, operating margin 18%, free cash flow yield 6%. Which evaluation is most complete?
- Company Y has stronger fundamental performance - its lower growth is supported by healthy margins and positive free cash flow, while Company X is growing rapidly but burning cash with thin margins (correct answer)
- Company X is the stronger performer because revenue growth is the most critical indicator of long-term value
- Company Y is overvalued because slow-growth companies deserve lower multiples
- Both companies perform equivalently since growth and margins are offsetting factors
Explanation: A comprehensive evaluation uses multiple metrics together rather than privileging one. Company Y's performance profile - higher margins, positive free cash flow - reflects a business generating genuine economic returns. Company X is growing rapidly but at margins so thin that it is consuming cash. Rapid growth with negative free cash flow is a fragile combination; it depends on continued access to external capital and assumes margins will improve at scale. Company Y's lower growth rate does not diminish its fundamental quality. Option B elevates revenue growth above all other metrics without justification. Options C and D either distort the comparison or dismiss the significant differences between the two profiles.
Question 9
A company's stock trades at $34.00 per share and its basic EPS is $1.70. What is the price-to-earnings (P/E) ratio?
- 20x (correct answer)
- 5x
- 35x
- 57.8x
Explanation: P/E = Stock price / EPS = $34.00 / $1.70 = 20x. The P/E ratio indicates how much investors are willing to pay per dollar of current earnings. Option B inverts the ratio. Option C adds $1 to the stock price before dividing. Option D uses a different EPS figure in the denominator.
Question 10
A company reports revenue of $15,000,000 in Year 1 and $18,300,000 in Year 2. What is the year-over-year revenue growth rate?
- 18.0%
- 22.0% (correct answer)
- 17.9%
- 25.3%
Explanation: Revenue growth = (Year 2 - Year 1) / Year 1 = ($18,300,000 - $15,000,000) / $15,000,000 = $3,300,000 / $15,000,000 = 22.0%. Option A divides the increase by Year 2 revenue instead of Year 1. Option C uses an incorrect base. Option D applies a different denominator.
Question 11
Which of the following ratios is most useful for evaluating a company's ability to generate profit from core operations, before the effects of financing decisions and income tax strategies?
- Operating margin (EBIT divided by revenue) (correct answer)
- Net profit margin (net income divided by revenue)
- Return on assets (net income divided by average total assets)
- Gross margin (gross profit divided by revenue)
Explanation: Operating margin (EBIT / Revenue) measures profitability from core operations after deducting COGS and operating expenses but before the effects of interest (financing) and income taxes. It is the cleanest measure of a manager's operational performance independent of how the company is financed or how its tax position is structured. Option B (net profit margin) includes the impact of both interest and taxes. Option C (ROA) incorporates both the income statement and balance sheet. Option D (gross margin) captures only the production cost efficiency before operating expenses.
Question 12
A company reports: revenue $12,000,000, COGS $7,200,000, SGA $2,400,000, depreciation $480,000, interest expense $360,000, and income tax $312,000. What is the operating margin?
- 12.3%
- 16.0% (correct answer)
- 19.0%
- 22.4%
Explanation: EBIT = Revenue - COGS - SGA - Depreciation = $12,000,000 - $7,200,000 - $2,400,000 - $480,000 = $1,920,000. Operating margin = $1,920,000 / $12,000,000 = 16.0%. Option A deducts interest expense from EBIT before dividing by revenue. Option C uses gross profit divided by revenue (the gross margin). Option D omits depreciation from the EBIT calculation.
Question 13
Using the same company data (EBIT $1,920,000, interest expense $360,000, tax expense $312,000, revenue $12,000,000), what is the net profit margin?
- 12.0%
- 16.0%
- 10.4% (correct answer)
- 8.7%
Explanation: Net income = EBIT - Interest - Taxes = $1,920,000 - $360,000 - $312,000 = $1,248,000. Net profit margin = $1,248,000 / $12,000,000 = 10.4%. Option A reports an incorrect net income. Option B is the operating margin, not the net profit margin. Option D deducts only interest without taxes, then divides by revenue.
Question 14
A company reports EBIT of $1,920,000, depreciation of $480,000, amortization of $120,000, and revenue of $12,000,000. What is the EBITDA margin?
- 16.0%
- 17.0%
- 19.0%
- 21.0% (correct answer)
Explanation: EBITDA = EBIT + Depreciation + Amortization = $1,920,000 + $480,000 + $120,000 = $2,520,000. EBITDA margin = $2,520,000 / $12,000,000 = 21.0%. Option A reports only the operating margin (EBIT/Revenue). Option B adds only amortization to EBIT. Option C adds only depreciation to EBIT.
Question 15
Economic Value Added (EVA) measures which of the following aspects of financial performance?
- The difference between a company's market value and its book value of equity
- The residual profit remaining after deducting the full cost of capital from net operating profit after tax (correct answer)
- Total shareholder return including both dividends received and stock price appreciation
- The ratio of operating income to total capital employed in the business
Explanation: EVA = NOPAT - (WACC x Invested capital). It measures the economic profit remaining after compensating all providers of capital (both debt and equity) for the cost of their investment. A positive EVA indicates value is being created above the cost of capital; a negative EVA indicates value destruction. Option A describes market value added (MVA), a related but different metric. Option C describes total shareholder return, which measures investor returns. Option D describes ROIC, a ratio metric rather than a dollar-denominated residual measure.
Question 16
A company reports NOPAT of $3,600,000, invested capital of $24,000,000, and a WACC of 11%. What is the company's Economic Value Added (EVA)?
- $3,600,000
- -$960,000
- $960,000 (correct answer)
- $2,640,000
Explanation: EVA = NOPAT - (WACC x Invested capital) = $3,600,000 - (0.11 x $24,000,000) = $3,600,000 - $2,640,000 = $960,000. The company is creating 960,000ofvalueaboveitscostofcapital.OptionAreportsNOPATwithoutdeductingthecapitalcharge.OptionBappliesthecorrectformulabutlabelsthesignincorrectly.OptionDreportsonlythecapitalcharge(2,640,000). Question 17
Company A (same industry as Company B) has gross margin 55%, operating margin 8%. Company B has gross margin 52%, operating margin 22%. Which performance evaluation is most accurate?
- Company A is the stronger performer because it has the higher gross margin
- Company B is the stronger overall performer - its modest gross margin disadvantage is far more than offset by dramatically more efficient management of operating expenses (correct answer)
- Both companies perform equivalently because the gross margin difference is within 3 percentage points
- Company A deserves a higher valuation because gross margin is a purer measure of competitive positioning
Explanation: Company B converts each revenue dollar into operating income far more efficiently: a 22% operating margin versus Company A's 8%, a 14-percentage-point advantage. Company A's slightly higher gross margin (55% vs. 52%) is more than consumed by its disproportionately high operating expense structure. The gap between gross and operating margin for Company A (55% - 8% = 47 percentage points) versus Company B (52% - 22% = 30 percentage points) reveals that Company A spends far more on SGA, R&D, or overhead relative to revenue. Option A focuses on one metric while ignoring the more complete picture. Option C applies an arbitrary threshold to dismiss a significant operating margin difference. Option D is an unsupported valuation claim.
Question 18
A company achieves 20% EPS growth. Underlying net income grew 8% and share buybacks reduced the share count by approximately 10%. Which evaluation of this EPS growth quality is most accurate?
- 20% EPS growth is strong performance regardless of the mechanism
- Buyback-driven EPS growth is superior to earnings-driven growth because it directly returns capital to shareholders
- Reducing share count is always value-destructive because it depletes the equity base
- Only 8% of the 20% EPS growth reflects genuine improvement in business profitability; the remaining portion reflects financial engineering through buybacks, which can obscure underlying earnings stagnation if overused (correct answer)
Explanation: When a 10% share count reduction is combined with 8% net income growth, the result is approximately 20% EPS growth ((1.08 / 0.90) - 1). While buybacks can be a legitimate and value-accretive use of capital when shares are undervalued, analysts and investors distinguish between EPS growth driven by improved business performance versus EPS growth engineered through capital structure changes. Heavy reliance on buybacks to meet EPS growth targets can mask deteriorating earnings quality. Option A treats EPS growth as a metric that does not require decomposition. Option B makes an unsupported ranking of growth mechanisms. Option C incorrectly condemns all buybacks as value-destructive.
Question 19
A company's ROIC declined from 20% to 12% over three years. The WACC remained at 10% throughout. Which performance evaluation is most accurate?
- ROIC above WACC at 12% confirms the company continues to create value and no concern exists
- ROIC is declining toward the cost of capital; the trend warrants investigation into whether the causes are deteriorating margins, lower asset efficiency, or capital misallocation before the spread disappears (correct answer)
- A 12% ROIC is excellent performance indicating the company outperforms all peers
- ROIC analysis applies only to capital-intensive industries and has limited applicability here
Explanation: While 12% ROIC still exceeds the 10% WACC - meaning the company is still technically creating value - the declining trend from 20% to 12% is the critical signal. At the current rate of decline, the ROIC-WACC spread could disappear within a few more years, at which point new investment destroys rather than creates value. The analytical imperative is to understand why ROIC is falling: Is it margin compression? Are acquisitions or capital projects delivering below-average returns? Is invested capital growing faster than profits? Option A dismisses the trend by focusing only on the current level. Option C makes an unsupported peer comparison. Option D is an incorrect limitation of ROIC's applicability.
Question 20
A company has a P/E ratio of 35x versus an industry average of 18x. Net income declined 15% in the most recent year. Which evaluation is most analytically appropriate?
- The premium P/E confirms market leadership and justifies the earnings decline
- The P/E ratio is meaningless when earnings are declining
- The stock is definitely overvalued and should be sold immediately
- A 35x P/E with declining earnings warrants careful scrutiny - the premium implies the market expects recovery, but if earnings continue to fall the multiple may compress significantly, creating downside risk (correct answer)
Explanation: A premium P/E with declining earnings creates a precarious situation. The high multiple implies investors expect a strong earnings recovery. If that recovery materializes, the premium may be justified; if earnings continue to deteriorate, the P/E will expand further as earnings fall (making the stock look even more expensive), likely triggering a repricing. Option A uses the premium as self-justifying confirmation without analytical substance. Option B incorrectly dismisses the P/E as meaningless - a high P/E with declining earnings is actually more informative as a risk signal, not less. Option C reaches a definitive conclusion without knowing whether the earnings decline is temporary or structural.