📖 比率分析周测（15 题）

Financial Statement Analysis

I. Lesson Focus

This lesson integrates and tests the practical application of cross-sectional (benchmarking against peers at a single point in time) and time-series (trend analysis over multiple periods for the same company) techniques. Candidates must master the calculation and economic interpretation of profitability, liquidity, solvency, efficiency, and market ratios, understand the DuPont decomposition, and recognize common analytical pitfalls. The focus is on real analytical judgment rather than mechanical computation.

II. The Problem

A single year’s financial ratios provide limited insight. Is a current ratio of 2.5 strong or weak? Is a 35% gross margin competitive? Without comparing the company to its industry peers (cross-sectional analysis) and to its own historical performance (time-series analysis), an analyst cannot determine whether the firm possesses a sustainable competitive advantage, whether financial risk is rising, or whether operating trends are deteriorating. This lesson uses 15 targeted practice questions to reinforce the underlying theory, formulas, and interpretive frameworks required to answer such questions correctly on the exam and in professional practice.

III. Core Logic of Cross-Sectional Analysis

Cross-sectional analysis compares ratios of different companies at the same point in time, most commonly within the same industry.
Key requirements:
- Companies must be economically comparable in size, business model, and geographic exposure.
- Primary ratios examined include profitability (ROE, ROA, gross margin, net margin), liquidity (current, quick, cash ratios), leverage (debt-to-assets, interest coverage), and operating efficiency (receivables, inventory, and total asset turnover).
- Differences may stem from genuine competitive strengths, accounting policy choices, or operating model variations; further decomposition is always required.

IV. Core Logic of Time-Series Analysis

Time-series analysis examines the same company’s ratios across multiple periods to identify trends, inflection points, and sustainability.
Key considerations:
- Persistent declines in gross margin or receivables turnover often signal competitive pressure, credit policy relaxation, or cost control problems.
- Trends must be interpreted in the context of the macroeconomic environment, industry cycle, and corporate strategy.
- Useful tools include year-over-year and quarter-over-quarter growth rates, common-size trend percentages, and regression-based trend lines.

V. Major Financial Ratios and Interpretation Framework

Profitability Ratios
- Gross margin = (Revenue – Cost of goods sold) / Revenue
- Net profit margin = Net income / Revenue
- Return on assets (ROA) = Net income / Average total assets
- Return on equity (ROE) = Net income / Average shareholders’ equity
- DuPont decomposition: ROE = Net profit margin × Asset turnover × Equity multiplier

Liquidity Ratios
- Current ratio = Current assets / Current liabilities
- Quick ratio = (Current assets – Inventory) / Current liabilities
- Cash ratio = (Cash + Cash equivalents) / Current liabilities

Solvency Ratios
- Debt-to-assets ratio = Total liabilities / Total assets
- Interest coverage = EBIT / Interest expense
- Fixed charge coverage = (EBIT + Lease payments) / (Interest expense + Lease payments)

Efficiency Ratios
- Receivables turnover = Credit sales / Average receivables
- Inventory turnover = Cost of goods sold / Average inventory
- Total asset turnover = Revenue / Average total assets
- Payables turnover = Purchases / Average payables

Market Ratios
- Price-to-earnings (P/E) = Market price per share / Earnings per share
- Price-to-book (P/B) = Market price per share / Book value per share

Worked Cases

Case 1: Cross-Sectional Analysis – Two Appliance Manufacturers

Company A (market leader) 2023: Revenue CNY 8 bn, Net income CNY 0.96 bn, Avg. total assets CNY 6 bn, Avg. equity CNY 3 bn, Current assets CNY 1.8 bn, Current liabilities CNY 0.9 bn, Inventory CNY 0.4 bn.
Company B (new entrant): Revenue CNY 2.5 bn, Net income CNY 0.175 bn, Avg. total assets CNY 2.8 bn, Avg. equity CNY 1.2 bn, Current assets CNY 0.9 bn, Current liabilities CNY 0.6 bn, Inventory CNY 0.35 bn.

Calculated ratios:
Company A: Net margin = 12%, ROA = 16%, ROE = 32%, Current ratio = 2.0, Quick ratio = 1.56.
Company B: Net margin = 7%, ROA = 6.25%, ROE ≈ 14.58%, Current ratio = 1.5, Quick ratio ≈ 0.92.

Interpretation: Company A demonstrates clear superiority in profitability and liquidity, consistent with economies of scale and brand strength. Company B’s quick ratio below 1.0 signals elevated short-term liquidity risk.

Case 2: Time-Series Analysis – Three-Year Trend of a Retailer

Data (CNY millions):
Year | Revenue | Gross profit | Inventory | Receivables | Net income
2021 | 500 | 150 | 80 | 45 | 35
2022 | 620 | 180 | 110 | 68 | 42
2023 | 680 | 190 | 135 | 92 | 38

Key trends:
- Gross margin: 30.0% → 29.0% → 27.9% (persistent decline)
- Inventory turnover: 4.38 → 4.00 → 4.00 (modest deterioration)
- Receivables turnover: 11.1 → 10.4 → 8.5 (clear worsening)
- Net margin: 7.0% → 6.8% → 5.6% (steady decline)

Interpretation: Declining margins combined with sharply slowing receivables collection suggest relaxed credit policies, rising bad debts, or intensified competition. Further investigation of allowance accounts and cash flow is warranted.

Case 3: DuPont Analysis Integrating Both Approaches

Company A ROE: 18% (2021), 20% (2022), 15% (2023).
DuPont breakdown:
2021: 8% × 1.5 × 1.5 = 18%
2022: 9% × 1.6 × 1.39 ≈ 20%
2023: 6% × 1.4 × 1.79 ≈ 15%

Cross-sectional benchmark: Industry average ROE = 16%. In 2023 the firm underperformed the industry.
Analysis: The 2023 increase in the equity multiplier (higher leverage) was more than offset by sharp declines in both margin and turnover. The company appears to have used additional debt to mask deteriorating operational performance, elevating financial risk.

Traps

Key Formulas

• ROE = Net profit margin × Asset turnover × Equity multiplier (DuPont)
• Quick ratio = (Current assets – Inventories) / Current liabilities
• Interest coverage = EBIT / Interest expense
• Days receivables = 365 / Receivables turnover
• Sustainable growth rate ≈ ROE × Retention ratio
• Total asset turnover = Revenue / Average total assets
• Equity multiplier = Average total assets / Average equity (higher value = greater leverage)
• Cash conversion cycle = Days inventory + Days receivables – Days payables

Practice Questions

Q1. Compared with the industry average, a firm has a higher net profit margin but a significantly lower asset turnover. The most likely explanation is:
A. Aggressive revenue recognition policies
B. Heavy investment in automated equipment causing high depreciation
C. Holding large amounts of idle cash
D. Substantially faster inventory turnover than peers

Q2. In a time-series analysis, a company’s current ratio has risen for three consecutive years while net cash from operating activities remains negative. This most likely indicates:
A. Material improvement in liquidity
B. Accumulation of inventory or relaxed credit terms to support the ratio
C. Superior solvency versus industry peers
D. Sharp reduction in capital expenditures

Q3. Which metric is most appropriate for cross-sectional analysis of operating efficiency between two retailers?
A. Three-year average ROE
B. Current-period inventory turnover versus industry median
C. Year-over-year change in gross margin
D. Current interest coverage ratio

Q4. A firm’s ROE is 18% while the industry average is 15%. Its net margin is 120% of industry and asset turnover is 80% of industry. Its equity multiplier is approximately what multiple of the industry average?
A. 0.94×
B. 1.125×
C. 1.56×
D. 0.75×

Q5. A manufacturer’s inventory turnover fell from 4.5× to 3.2× while gross margin rose from 28% to 32%. The most plausible explanation is:
A. Successful product differentiation allowing higher prices
B. Large raw-material purchases for volume discounts while sales slowed
C. Accelerated inventory write-downs
D. Change from FIFO to LIFO in an inflationary environment

Q6. When performing cross-sectional analysis on two firms in an inflationary period (one using FIFO, the other LIFO), the analyst should most likely adjust:
A. Sales revenue
B. Cost of goods sold and inventory balances
C. Interest expense
D. Depreciation expense

Q7. A company’s net profit margin has remained stable at 9% for four years, yet ROE declined from 22% to 14%. The most likely cause is a decrease in:
A. Asset turnover and/or equity multiplier
B. Gross margin
C. Operating expense ratio
D. The applicable tax rate

Q8. Which statement about the cash conversion cycle is correct?
A. A shorter cycle implies the firm requires more working capital
B. Cash conversion cycle = Days inventory + Days payables – Days receivables
C. A shorter cycle generally improves return on assets
D. The cycle has no relationship with liquidity ratios

Answers

Takeaways

• Cross-sectional analysis requires “same industry, same period, comparable firms”; focus on relative positioning.
• Time-series analysis emphasizes trend direction, inflection points, and sustainability within macroeconomic and industry context.
• DuPont decomposition links profitability, efficiency, and leverage; every ROE change can be fully explained by its three components.
• No single ratio is sufficient; always corroborate with at least two or three related metrics (e.g., current + quick + operating cash flow).
• Accounting policy differences (inventory, depreciation, revenue recognition, lease capitalization) must be identified before cross-firm comparisons.
• The cash conversion cycle is a comprehensive measure of working-capital efficiency; reductions typically improve ROA and free cash flow.