📖 比率分析综合复习

Financial Statement Analysis

I. Lesson Focus

This lesson integrates all major categories of financial ratios—liquidity, solvency, profitability, efficiency, DuPont decomposition, and equity valuation—into a cohesive analytical framework. Candidates must be able to compute ratios, interpret their interrelationships, identify red flags for manipulation, and use cross-validation techniques to assess the true financial health of a company.

II. The Problem

A manufacturing firm reports sharply higher net income in 2023, yet operating cash flow remains persistently negative and inventory turnover has deteriorated significantly. Its current ratio appears healthy, but the quick ratio has collapsed. An investor needs to determine whether the company has genuinely improved profitability or is merely using accounting manipulation to polish its financial statements. A comprehensive ratio analysis framework is required that cross-checks different ratio families, reveals underlying economic reality, and prevents being misled by isolated metrics.

III. The Core Framework of Ratio Analysis

Ratio analysis is not about viewing single numbers in isolation. Instead, liquidity, solvency, profitability, efficiency, DuPont analysis, and equity valuation ratios must be combined through trend analysis, peer comparison, and cross-validation to detect anomalies.

1. Liquidity Ratios

• Current Ratio = Current Assets / Current Liabilities
• Quick Ratio = (Current Assets – Inventories) / Current Liabilities
• Cash Ratio = (Cash + Cash Equivalents) / Current Liabilities

Key Teaching Point: The current ratio can be overstated by inflating receivables or inventory; therefore it must always be validated against the quick ratio and cash-flow-based measures.

2. Solvency Ratios

• Debt-to-Assets = Total Liabilities / Total Assets
• Equity Multiplier = Total Assets / Shareholders’ Equity = 1 + Debt-to-Equity
• Interest Coverage = EBIT / Interest Expense
• Fixed Charge Coverage = (EBIT + Lease Payments) / (Interest + Lease Payments)

Mechanism: Highly leveraged firms experience a rapid increase in default risk when interest coverage falls during an economic downturn.

3. Profitability Ratios

• Gross Profit Margin = Gross Profit / Revenue
• Operating Margin = Operating Profit / 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

4. Efficiency (Activity) Ratios

• Receivables Turnover = Revenue / Average Receivables
• Inventory Turnover = Cost of Goods Sold / Average Inventory
• Payables Turnover = Purchases / Average Payables
• Total Asset Turnover = Revenue / Average Total Assets
• Cash Conversion Cycle (CCC) = DIO + DSO – DPO

Critical Relationship: A shorter cash conversion cycle reduces working-capital requirements and typically improves free cash flow.

5. DuPont Analysis

Classic three-factor DuPont: $$ ROE = \text{Net Profit Margin} \times \text{Asset Turnover} \times \text{Equity Multiplier} $$

Extended five-factor DuPont: $$ ROE = \frac{\text{EBT}}{\text{EBIT}} \times \frac{\text{EBIT}}{\text{Revenue}} \times \frac{\text{Revenue}}{\text{Total Assets}} \times \frac{\text{Total Assets}}{\text{Equity}} \times \frac{\text{Net Income}}{\text{EBT}} $$

This decomposition precisely isolates whether ROE changes are driven by margin improvement, efficiency gains, or increased financial leverage.

6. Equity Valuation and Dividend Ratios

• Price-to-Earnings (P/E) = Price per Share / EPS
• Price-to-Book (P/B) = Price per Share / Book Value per Share
• Dividend Payout Ratio = Dividends / Net Income
• Retention Ratio = 1 – Dividend Payout Ratio
• Sustainable Growth Rate = ROE × Retention Ratio

IV. Interrelationships and Cross-Validation

• ROE = ROA × Equity Multiplier
• ROA = Net Profit Margin × Asset Turnover
• Cash-flow ratios (e.g., Operating Cash Flow / Current Liabilities) validate the quality of liquidity ratios
• Rising net margin accompanied by falling gross margin may indicate expense capitalization or non-recurring gains

Practical Technique: When multiple ratios deteriorate simultaneously (falling inventory turnover + lengthening CCC + negative operating cash flow), the likelihood of premature revenue recognition or inventory overstatement is high.

Worked Cases

Case 1: DuPont Analysis to Locate the Driver of ROE Decline

XYZ Company data (in millions):

Calculate ROE, net profit margin, asset turnover, and equity multiplier for both years and identify the main cause of the ROE decline.

Solution:
2022:
Net Margin = 120 / 1,200 = 10.0%
Asset Turnover = 1,200 / 1,500 = 0.80
Equity Multiplier = 1,500 / 750 = 2.00
ROE = 10.0% × 0.80 × 2.00 = 16.0%

2023:
Net Margin = 108 / 1,350 = 8.0%
Asset Turnover = 1,350 / 1,800 = 0.75
Equity Multiplier = 1,800 / 720 = 2.50
ROE = 8.0% × 0.75 × 2.50 = 15.0%

Conclusion: ROE fell from 16% to 15% primarily because of declines in both net margin and asset turnover; although leverage increased, it was insufficient to offset the deterioration in profitability and efficiency.

Case 2: Combined Liquidity and Cash-Flow Assessment

Company A has current assets of CNY 80 million (including CNY 42 million inventory) and current liabilities of CNY 50 million. Operating cash flow is –CNY 1.5 million. Compute current and quick ratios and assess risk.

Current Ratio = 80 / 50 = 1.60
Quick Ratio = (80 – 42) / 50 = 0.76

Analysis: Although the current ratio appears acceptable (>1), the quick ratio below 1 combined with negative operating cash flow indicates heavy reliance on inventory liquidation or external financing; short-term solvency risk is actually elevated.

Case 3: Cash Conversion Cycle and Operating Efficiency

Company B 2023 data (CNY millions): Revenue = 2,400, COGS = 1,600, Avg. Receivables = 240, Avg. Inventory = 320, Avg. Payables = 180.

DSO = 240 / (2,400 / 365) ≈ 36.5 days
DIO = 320 / (1,600 / 365) ≈ 73.0 days
DPO = 180 / (1,600 / 365) ≈ 41.1 days
CCC = 36.5 + 73.0 – 41.1 = 68.4 days

Interpretation: A 68.4-day cash conversion cycle is relatively long, implying substantial capital is tied up in inventory and receivables; credit policy and inventory management require close scrutiny.

Traps

Key Formulas

• ROE = Net Profit Margin × Asset Turnover × Equity Multiplier
• Sustainable Growth Rate = ROE × Retention Ratio
• Cash Conversion Cycle = DIO + DSO – DPO
• Quick Ratio = (Current Assets – Inventory) / Current Liabilities
• Interest Coverage = EBIT / Interest Expense
• ROA = Net Income / Average Total Assets
• Equity Multiplier = Total Assets / Equity = 1 + Debt-to-Equity
• Dividend Payout + Retention Ratio = 1

Practice Questions

Q1. A company has a net profit margin of 10%, total asset turnover of 1.2, and equity multiplier of 2.5. Its ROE is closest to:
A. 30%　B. 25%　C. 18%　D. 12%

Q2. If a firm’s cash conversion cycle shortens from 45 days to 32 days, the most likely outcome is:
A. Operating cash flow decreases　B. Working-capital investment decreases　C. Inventory turnover declines　D. Days sales outstanding increases

Q3. Which of the following is most indicative of revenue-recognition manipulation?
A. Continuously rising receivables turnover　B. Sharply declining inventory turnover accompanied by negative operating cash flow　C. Stable rising gross margin　D. Rising interest coverage

Q4. A company reports EBIT of CNY 12 million, interest expense of CNY 3 million, and lease expense of CNY 1.5 million. Its fixed charge coverage ratio is:
A. 4.0　B. 3.0　C. 2.67　D. 4.5

Q5. In DuPont analysis, if net profit margin declines but ROE rises, the most likely explanation is:
A. Sharp decline in asset turnover　B. Significant increase in financial leverage　C. Rising gross margin　D. Declining retention ratio

Q6. Which combination of ratio movements most strongly suggests financial-statement manipulation?
A. Rising current ratio, falling quick ratio, and declining operating cash flow to current liabilities
B. Rising gross margin, rising net margin, and rising ROA
C. Rising inventory turnover and rising receivables turnover
D. Rising interest coverage and falling debt-to-assets

Q7. Sustainable growth rate is highest when a firm has:
A. High ROE and high dividend payout　B. High ROE and high retention ratio　C. Low ROE and low retention ratio　D. High ROA and high leverage

Q8. A firm has average total assets of CNY 80 million, average equity of CNY 32 million, and net income of CNY 6.4 million. Its ROA and ROE are respectively:
A. ROA = 8%, ROE = 20%　B. ROA = 12%, ROE = 20%　C. ROA = 8%, ROE = 15%　D. ROA = 20%, ROE = 8%

Answers

Takeaways

• Single ratios are easily manipulated; always cross-validate with trend, peer, and cash-flow data
• DuPont analysis is the most powerful tool for isolating the drivers of ROE changes
• The cash conversion cycle is the key composite measure of operating efficiency
• Persistent divergence between accrual earnings and operating cash flow is a major red flag for earnings quality
• Increased leverage can temporarily boost ROE but magnifies risk over the long term
• Sustainable growth rate = ROE × retention ratio is essential for evaluating dividend-policy sustainability