📖 FSA 模块终测（20 题）

Financial Statement Analysis

I. Lesson Focus

This lesson consolidates all core Financial Statement Analysis (FSA) tools from the CFA Level I curriculum. Candidates must master the complete set of activity, liquidity, solvency, profitability, and valuation ratios, understand the impact of accounting policy choices on reported numbers, and be able to apply DuPont analysis and cash-flow-based adjustments. The module ends with integrated scenario-based questions that test both calculation accuracy and conceptual interpretation.

II. The Problem

An analyst receives the three primary financial statements of a manufacturing company and notices that different accounting choices—such as inventory costing (FIFO vs. LIFO), depreciation methods, capitalization versus expensing of expenditures, and revenue recognition timing—can dramatically alter key metrics including net profit margin, asset turnover, ROA, ROE, and interest coverage. Without a systematic command of every core formula, the directional impact of policy changes, and common calculation traps, the analyst cannot reliably assess earnings quality, liquidity, leverage, operating efficiency, or sustainable growth, leading to flawed investment conclusions. This lesson reinforces the entire FSA domain through rigorous review and targeted practice.

III. Financial Statement Analysis Framework Review

The FSA framework consists of six steps:
1. Define the purpose and context of the analysis.
2. Collect input data (financial statements, notes, MD&A).
3. Process the data (adjust for non-recurring items, normalize accounting policies).
4. Analyze and interpret the processed data using ratios, trend analysis, and common-size statements.
5. Develop conclusions and recommendations.
6. Follow up and monitor.

The quantitative heart of this module lies in steps 3 and 4—specifically the calculation, interpretation, and limitations of financial ratios.

IV. Major Financial Ratio Categories and Formulas

(A) Activity (Turnover) Ratios

• Receivables turnover = Credit sales / Average receivables
• Inventory turnover = Cost of goods sold / Average inventory
• Payables turnover = Purchases / Average payables
• Total asset turnover = Revenue / Average total assets
• Working capital turnover = Revenue / Average working capital

Days ratios are the reciprocal multiplied by 365 (e.g., Days of inventory on hand = 365 / Inventory turnover).

(B) Liquidity Ratios

• Current ratio = Current assets / Current liabilities
• Quick ratio (Acid-test) = (Cash + Marketable securities + Receivables) / Current liabilities
• Cash ratio = (Cash + Marketable securities) / Current liabilities
• Defensive interval ratio = (Cash + Marketable securities + Receivables) / Daily cash expenditures

(C) Solvency (Leverage) Ratios

• Debt-to-equity ratio = Total liabilities / Total equity
• Interest coverage = EBIT / Interest expense
• Fixed charge coverage = (EBIT + Lease payments) / (Interest expense + Lease payments)
• Debt-to-EBITDA or Cash-flow-to-debt = Operating cash flow / Total debt

(D) Profitability Ratios

• Gross profit margin = Gross profit / Revenue
• Operating profit margin = Operating income / 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
• Extended (five-factor) DuPont: ROE = (EBT/EBIT) × (EBIT/Revenue) × (Revenue/Assets) × (Assets/Equity) × (1 – Tax rate)

(E) Valuation and Growth Ratios

• Price-to-earnings (P/E) = Market price per share / EPS
• Price-to-book (P/B) = Market price per share / Book value per share
• Sustainable growth rate = ROE × Retention ratio = ROE × (1 – Dividend payout ratio)

V. Impact of Accounting Policy Choices on Ratios

• FIFO vs. LIFO in inflationary periods: LIFO produces higher COGS, lower net income, lower inventory balance, and therefore higher inventory turnover.
• Accelerated vs. straight-line depreciation: Higher early-period expense lowers early profitability, ROA, and ROE while leaving operating cash flow unchanged.
• Capitalizing vs. expensing (R&D, interest, software): Capitalization increases both assets and current-period profit; subsequent depreciation/amortization reduces future profit.
• Aggressive vs. conservative revenue recognition: Directly affects net profit margin and receivables turnover.

Analysts must read footnotes to identify and reverse such choices when comparing companies.

Worked Cases

Case 1: DuPont Decomposition

A company reports revenue of CNY 80 million, net income of CNY 7.2 million, average total assets of CNY 60 million, and average equity of CNY 30 million.

ROE = 7.2 / 30 = 24%
Net profit margin = 7.2 / 80 = 9.0%
Asset turnover = 80 / 60 = 1.333×
Equity multiplier = 60 / 30 = 2.0×
Check: 9.0% × 1.333 × 2.0 = 24%, confirming the decomposition is exact.

Case 2: Inventory Costing Effect on Turnover

Revenue = CNY 120 million. COGS under LIFO = CNY 72 million; under FIFO, COGS would be CNY 69 million. Beginning inventory = CNY 15 million, ending = CNY 18 million. Inflationary environment.

Average inventory = (15 + 18) / 2 = 16.5 million
LIFO turnover = 72 / 16.5 ≈ 4.36×
FIFO turnover = 69 / 16.5 ≈ 4.18×
Conclusion: LIFO produces a higher turnover ratio because the numerator (COGS) is larger in an inflationary period.

Case 3: Capitalization versus Expensing—Effect on ROA

R&D expenditure = CNY 6 million, fully expensed, producing reported net income of CNY 12 million and average assets of CNY 100 million. Tax rate = 25%. Policy change requires capitalization and straight-line amortization over 4 years (Year-1 amortization = CNY 1.5 million).

Expensed scenario: ROA = 12 / 100 = 12.0%
Capitalized scenario: Additional profit before tax = 6.0 – 1.5 = 4.5; after-tax = 4.5 × 0.75 = 3.375 million. Adjusted NI = 12 + 3.375 = 15.375 million.
Average assets increase by half the expenditure (mid-year assumption) → 100 + 3 = 103 million.
Adjusted ROA = 15.375 / 103 ≈ 14.93%.
Capitalization therefore materially increases reported ROA in the year of expenditure.

Traps

Key Formulas

• ROE = Net profit margin × Asset turnover × Equity multiplier
• Quick ratio = (Cash + Marketable securities + Receivables) / Current liabilities
• Interest coverage = EBIT / Interest expense
• Sustainable growth rate = ROE × (1 – Dividend payout ratio)
• Cash conversion cycle = DIO + DSO – DPO
• Working capital = Current assets – Current liabilities
• Total asset turnover = Revenue / Average total assets
• Financial leverage (equity multiplier) = Average assets / Average equity

Practice Questions

Q1. In the three-factor DuPont analysis, an increase in the equity multiplier most likely indicates:
A. Higher net profit margin
B. Lower financial leverage
C. Higher financial leverage
D. Lower asset turnover

Q2. In an inflationary environment, a company using LIFO rather than FIFO will most likely report:
A. Lower inventory turnover
B. Higher inventory turnover
C. The same inventory turnover
D. Cannot be determined

Q3. Which of the following is least likely included in the quick ratio?
A. Cash
B. Trading securities
C. Prepaid expenses
D. Trade receivables

Q4. EBIT = $5.0 million, interest expense = $0.8 million, lease payments = $0.4 million. The fixed-charge coverage ratio is closest to:
A. 6.25
B. 5.00
C. 4.50
D. 6.75

Q5. All else equal, if a firm changes from expensing to capitalizing R&D costs, its current-period ROA will most likely:
A. Decrease
B. Increase
C. Remain unchanged
D. Depend solely on the tax rate

Q6. The sustainable growth rate is best expressed as:
A. ROA × Retention ratio
B. ROE × Dividend payout ratio
C. ROE × (1 – Dividend payout ratio)
D. Net profit margin × Asset turnover

Q7. Which ratio uses only balance-sheet items in both numerator and denominator?
A. Current ratio
B. Receivables turnover
C. Net profit margin
D. Interest coverage

Q8. A firm has a cash ratio well above the industry average while its current ratio is in line with the industry. The most likely explanation is:
A. High inventory levels
B. Slow collection of receivables
C. Excessive short-term borrowing
D. Large prepaid expenses

Answers

Takeaways

• Master the three- and five-factor DuPont breakdowns; they are the fastest way to diagnose drivers of ROE changes.
• Accounting policy differences (LIFO/FIFO, capitalization vs. expensing) have predictable directional impacts on profitability, turnover, and return ratios—always adjust when comparing peers.
• Liquidity ratios exclude inventory and prepaids from the quick ratio; solvency analysis centers on EBIT-based coverage and cash-flow-to-debt metrics.
• Use average balance-sheet figures (beginning + ending)/2 for all turnover and return ratios to avoid bias.
• The cash conversion cycle is a key operating-efficiency gauge; shorter cycles usually signal improved working-capital management.
• Ratio analysis ultimately supports valuation—combine P/E, P/B, and growth rates with qualitative assessment of earnings quality.