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Question 1National accounts, money and fiscal reasoning
After accounting for the revised composition of China's M1 measure, an M1-M2 growth gap that moves from negative to positive can be consistent with which interpretation, subject to corroboration from other data?
- More money is in transaction-ready components relative to broader money growth, which may accompany stronger payment activity but is not by itself proof of enterprise confidence or an equity-market signal Correct answer.
- Enterprises are hoarding cash in long-term fixed deposits due to a severe economic depression
- The central bank is aggressively contracting high-powered base money to curb hyperinflation
- Foreign direct investment has ceased completely and capital is fleeing the domestic market
Explanation
Faster M1 than M2 growth can be consistent with funds moving into more transaction-ready form and with stronger payment activity. Since the 2025 M1 revision also includes individual demand deposits and payment-institution customer reserves, the gap is not a pure enterprise-deposit signal. It should be corroborated with credit, production, profits, and market data rather than treated as a deterministic bull-market indicator.
Question 2National accounts, money and fiscal reasoning
When the CPI-PPI Scissors Gap (CPI同比增速 - PPI同比增速) widens because PPI declines significantly while CPI remains stable, what is the typical impact on profit margins across the industrial chain?
- Where selling prices and volumes remain stable and lower producer prices pass through to inputs, some midstream or downstream manufacturers may experience margin expansion Correct answer.
- Upstream extractors necessarily gain margin because lower PPI always reduces their extraction costs faster than selling prices
- Every downstream manufacturer gains the same margin regardless of its pricing power, inventory cycle, or input mix
- The wider gap proves margin expansion even when selling prices and volumes are falling sharply
Explanation
A falling PPI alongside stable CPI can suggest that some producer-input costs are weakening relative to consumer prices. A downstream margin benefit is plausible only where the relevant inputs actually become cheaper and the firm maintains selling prices, product mix, and volumes. PPI and CPI cover different baskets, so the aggregate gap does not guarantee a margin result for every company or sector.
Question 3National accounts, money and fiscal reasoning
In the classic Merrill Lynch Investment Clock heuristic (美林投资时钟), which asset class is associated with the recovery phase, when growth improves and inflation falls?
- Equities (股票) Correct answer.
- Cash and Money Market Instruments (现金)
- Commodities (大宗商品)
- Sovereign Bonds (债券)
Explanation
The classic Investment Clock associates recovery (growth up, inflation down) with equities, overheating with commodities, stagflation with cash, and recession/disinflation with bonds. It is a historical asset-allocation heuristic, not a guarantee that the associated asset will outperform or a stand-alone investment recommendation.
Question 4National accounts, money and fiscal reasoning
Within the classic Investment Clock heuristic, which of these asset classes is associated with the stagflation phase (growth down, inflation up)?
- Cash / Ultra-short Money Market Instruments (现金及货币基金) Correct answer.
- Long-duration Growth Equities (高估值成长股)
- 30-Year Government Bonds (超长期国债)
- Real Estate Development Equities (高杠杆房地产股票)
Explanation
The classic Investment Clock associates stagflation with cash or short-duration money-market exposure because slowing growth can pressure earnings while rising inflation can pressure longer-duration bonds. This is a model association, not a guarantee: cash has reinvestment and inflation risk, and actual performance depends on policy, starting valuations, and the severity of each shock.
Question 5National accounts, money and fiscal reasoning
An equity strategist calculates the Equity Risk Premium (ERP / 股权风险溢价) for the CSI 300 Index (沪深300) using the Fed model formulation: $\text{ERP} = \frac{1}{\text{Index P/E}} - \text{10-Year China Government Bond Yield}$. If the CSI 300 Trailing P/E is 12.5x and the 10-Year China Government Bond Yield is 2.30%, what is the calculated ERP?
- 5.70% Correct answer.
- 8.00%
- 10.20%
- 3.45%
Explanation
The equity earnings yield is $E/P = 1 / (P/E) = 1 / 12.5 = 0.08 = 8.00\%$.
The stated Fed-model spread is:
$$\text{ERP} = \text{Earnings Yield} - \text{Risk-free Rate} = 8.00\% - 2.30\% = 5.70\%$$
Whether 5.70% is high or low requires a consistently defined historical series and does not by itself establish expected return or investment value.
Question 6National accounts, money and fiscal reasoning
When the China Government Bond yield curve experiences a "Bear Flattening" (熊平 / 收益率曲线熊市平坦化: Short-end yields rise faster than long-end yields), what macroeconomic conditions and monetary policy stance are typically driving the market?
- The central bank is actively tightening monetary policy or raising short-term policy rates to control inflation/overheating, causing short-end yields to spike while long-term economic growth expectations cool down Correct answer.
- The central bank is aggressively cutting interest rates and buying long-term bonds through quantitative easing
- The economy is entering a deep deflationary spiral with collapsing private credit demand
- The government has announced the complete cancellation of all sovereign bond auctions
Explanation
In yield curve terminology, a "Bear Flattening" (熊市平坦化) occurs in a rising yield environment (bearish for bond prices) where short-term interest rates increase significantly faster than long-term interest rates. This is typically driven by central bank monetary tightening, repo rate hikes, or interbank liquidity drains to curb inflation, while long-term yields are anchored by expectations that future GDP growth and terminal inflation will moderate as a result of the tightening.
Question 7National accounts, money and fiscal reasoning
In China's macroeconomic indicator taxonomy, which of the following is categorized as a Leading Indicator (先行指标) of future economic activity?
- Manufacturing Purchasing Managers' Index New Export Orders (制造业PMI新出口订单指数) and M1 Growth Rate Correct answer.
- Industrial Value-Added (规模以上工业增加值)
- Urban Registered Unemployment Rate (城镇调查失业率)
- Consumer Price Index (居民消费价格指数 CPI)
Explanation
Macroeconomic indicators are classified by timing relative to the business cycle:
- Leading Indicators (先行指标): PMI New Orders, New Export Orders, M1 Money Supply, Total Social Financing Growth, Stock Market Indices, and Real Estate Land Acquisition Area.
- Coincident Indicators (一致指标): Industrial Value-Added, GDP, Freight Volume, Electricity Consumption, and Retail Sales of Consumer Goods.
- Lagging Indicators (滞后指标): Unemployment Rate, CPI, PPI, and Non-Performing Loan (NPL) Ratios.
Question 8National accounts, money and fiscal reasoning
What is the primary macroeconomic transmission role of China's Special Local Government Bonds (地方政府专项债券) in counter-cyclical fiscal policy?
- Providing dedicated capital and project funding for major infrastructure, transportation, and industrial park projects with commercial cash flows, serving as a primary counter-cyclical investment tool to stabilize economic growth Correct answer.
- Funding the routine daily administrative payroll of municipal civil servants
- Replacing all corporate income taxes across private sector technology firms
- Purchasing overseas foreign equity index funds to diversify provincial budgets
Explanation
Special Local Government Bonds (地方政府专项债券) are debt instruments issued by provincial governments to finance revenue-generating public infrastructure projects (e.g., transport, energy grids, logistics hubs, municipal facilities). Unlike General Bonds (which fund non-revenue public welfare and are repaid from general budgetary revenue), Special Bonds are repaid from the project's own operating revenues and government-managed fund land proceeds, functioning as China's primary fiscal instrument for counter-cyclical infrastructure investment (逆周期调节基建投资).
Question 9National accounts, money and fiscal reasoning
An analyst models the central bank policy rate using a standard Taylor Rule: $i = r^* + \pi + 0.5(\pi - \pi^*) + 0.5(y - y^*)$. If the equilibrium real interest rate $r^* = 2.0\%$, the inflation target $\pi^* = 2.0\%$, current actual inflation $\pi = 3.0\%$, and the GDP output gap $(y - y^*) = +2.0\%$, what is the prescribed target policy interest rate $i$?
- 6.50% Correct answer.
- 5.00%
- 4.50%
- 8.00%
Explanation
Applying the Taylor Rule:
$$i = r^* + \pi + 0.5(\pi - \pi^*) + 0.5(y - y^*)$$
$$i = 2.0\% + 3.0\% + 0.5(3.0\% - 2.0\%) + 0.5(2.0\%)$$
$$i = 5.0\% + 0.5(1.0\%) + 0.5(2.0\%) = 5.0\% + 0.5\% + 1.0\% = 6.50\%$$
The target policy interest rate is 6.50%.
Question 10National accounts, money and fiscal reasoning
In the analysis of China's industrial inventory cycle (库存周期), which phase is characterized by "Declining Demand / Revenue Growth alongside Declining Finished Goods Inventory Growth"?
- Active Destocking Phase (主动去库存: Demand Down, Inventory Down) Correct answer.
- Passive Restocking Phase (被动补库存: Demand Down, Inventory Up)
- Active Restocking Phase (主动补库存: Demand Up, Inventory Up)
- Passive Destocking Phase (被动去库存: Demand Up, Inventory Down)
Explanation
The 4 phases of the Chinese industrial inventory cycle are:
1. Passive Destocking (被动去库存): Demand recovers (Up), but production has not caught up -> Inventory falls (Down) [Early Bull Market].
2. Active Restocking (主动补库存): Demand expands (Up), manufacturers aggressively ramp production -> Inventory rises (Up) [Mid-to-Late Bull Market].
3. Passive Restocking (被动补库存): Demand weakens (Down), but output remains high -> Unsold goods accumulate -> Inventory rises (Up) [Early Bear Market].
4. Active Destocking (主动去库存): Demand drops (Down), enterprises cut production and slash prices -> Inventory falls (Down) [Late Bear Market / Bottoming Phase].
Question 11National accounts, money and fiscal reasoning
A central bank reduces the required reserve ratio ($r_d$) by 50 basis points from 10.0% to 9.5%. If the cash drain ratio $k = 0.05$ and excess reserve ratio $e = 0.02$, what is the change in the theoretical money multiplier $m = \frac{1 + k}{r_d + e + k}$?
- The money multiplier increases from approximately 6.18 to 6.36 (an increase of ~0.18) Correct answer.
- The money multiplier decreases from 10.0 to 9.5
- The money multiplier remains unchanged at 5.00
- The money multiplier doubles from 6.00 to 12.00
Explanation
Using the broad money multiplier formula $m = \frac{1 + k}{r_d + e + k}$:
1. Before the cut ($r_d = 0.10$):
$$m_1 = \frac{1 + 0.05}{0.10 + 0.02 + 0.05} = \frac{1.05}{0.17} \approx 6.1765$$
2. After the 50 bps cut ($r_d = 0.095$):
$$m_2 = \frac{1 + 0.05}{0.095 + 0.02 + 0.05} = \frac{1.05}{0.165} \approx 6.3636$$
3. Change: $\Delta m = 6.3636 - 6.1765 = +0.1871$.
Question 12National accounts, money and fiscal reasoning
During a phase of macroeconomic deceleration and corporate credit polarization, how does the Credit Spread (信用利差) between AA-rated private enterprise bonds and AAA-rated state-owned enterprise (SOE) bonds typically behave?
- The credit spread widens significantly as risk-averse investors demand a higher default risk premium on private enterprise debt while seeking safety in top-tier SOE bonds Correct answer.
- The credit spread narrows to zero because all corporate bonds carry identical credit risk
- AA private enterprise bond yields fall below risk-free sovereign debt yields
- Credit spreads remain fixed at exactly 50 basis points by statutory mandate
Explanation
Here the measured spread is the yield on the AA private-enterprise bond minus the yield on the comparable AAA SOE bond. During a slowdown or credit polarization, investors may require more credit and liquidity compensation for the lower-rated private issuer while favoring the higher-rated SOE issuer, widening the spread. Maturity, seniority, liquidity, guarantees, and issuer fundamentals must also be controlled.
Question 13National accounts, money and fiscal reasoning
In China's Balance of Payments (国际收支平衡表) accounting, how are merchandise goods exports and inward Foreign Direct Investment (FDI / 外商直接投资) recorded?
- Merchandise goods exports are recorded in the Current Account (经常账户), while inward Foreign Direct Investment is recorded in the Capital and Financial Account (资本和金融账户) Correct answer.
- Merchandise exports are recorded in the Financial Account, while FDI is recorded in the Current Account
- Both merchandise exports and FDI are recorded exclusively in the Reserve Assets Account
- Both items are recorded in the Net Errors and Omissions Account
Explanation
Under the IMF Balance of Payments Manual (BPM6) utilized by the State Administration of Foreign Exchange (SAFE):
- The Current Account (经常账户) records trade in goods (merchandise exports/imports), services trade, primary income (compensation and investment income), and secondary income (current transfers).
- The Capital and Financial Account (资本与金融账户) records capital transfers and cross-border financial transactions, including Direct Investment (FDI), Portfolio Investment (stocks and bonds), and Other Investment (loans, currency, deposits).
Question 14National accounts, money and fiscal reasoning
An equity strategist calculates the "Buffett Indicator" (Securitization Ratio / 证券化率: Total Stock Market Capitalization to Nominal GDP ratio) to gauge market valuation. If China's total A-share market capitalization is ¥84 trillion and nominal annual GDP is ¥126 trillion, what is the securitization ratio?
- 66.67% Correct answer.
- 150.00%
- 42.50%
- 84.00%
Explanation
The securitization ratio is:
$$\text{Securitization Ratio} = \frac{\text{Total Market Capitalization}}{\text{Nominal GDP}} = \frac{¥84\text{ Trillion}}{¥126\text{ Trillion}} = \frac{2}{3} \approx 66.67\%$$
Interpretation requires consistent choices for market coverage and GDP, as well as the economy's financing structure; the calculated ratio alone is not a universal buy or sell threshold.
Question 15Business strategy
Which of the following sets of operational and market characteristics best defines an industry in the "Introduction Stage" (导入期 / 幼年期) of its industry lifecycle?
- Uncertain technology routes, high R&D and market education expenses, low market penetration, negative or minimal net profits, and significant operating cash outflows Correct answer.
- Standardized technology, slow revenue growth, stable high gross margins, massive cash dividends, and saturated customer demand
- Intense price wars among oligopolies, falling product prices, overcapacity, and customer migration to substitutes
- Zero competition, guaranteed government purchasing contracts, and permanent immunity from technological obsolescence
Explanation
During the Introduction Stage (导入期) of the industry lifecycle, the core technology is nascent with competing standards, customer awareness is low requiring heavy market education, production yields are limited, and companies incur massive R&D and capital expenditures leading to negative net income and negative free cash flows.
Question 16Business strategy
At which stage of the industry lifecycle do leading enterprises typically generate their peak Free Cash Flows (自由现金流), maintain stable oligopolistic market shares, and distribute substantial cash dividends to shareholders?
- Maturity Stage (成熟期) Correct answer.
- Introduction Stage (导入期)
- Early Growth Stage (成长初期)
- Decline Stage (衰退期)
Explanation
In the Maturity Stage (成熟期), market growth stabilizes, capital expenditure requirements (CapEx) for expanding capacity decline sharply, industry concentration stabilizes around established oligopolies with high barriers to entry, and operating margins remain strong. As a result, firms generate peak free cash flows and allocate capital toward cash dividends and share repurchases.
Question 17Business strategy
In Porter's Five Forces Model (波特五力模型), which of the following market conditions significantly STRENGTHENS the Bargaining Power of Buyers (下游买方议价能力)?
- Products are highly standardized/undifferentiated, buyer purchase volumes represent a large percentage of total supplier sales, and buyer switching costs are very low Correct answer.
- The industry has thousands of small, fragmented retail buyers with zero purchasing coordination
- Suppliers possess patented, highly differentiated critical components with high switching costs
- Buyers have zero capability or threat of backward vertical integration into manufacturing
Explanation
Under Porter's Five Forces framework, downstream buyer bargaining power is strongest when: (1) buyers purchase in large concentrated volumes; (2) the industry's products are standardized commodities; (3) switching costs to alternate suppliers are negligible; (4) buyers face low profit margins and are price-sensitive; and (5) buyers pose a credible threat of backward integration.
Question 18Business strategy
An industry consists of five competing manufacturers with the following market shares: Company A (35%), Company B (25%), Company C (20%), Company D (10%), Company E (10%). What is the Four-Firm Concentration Ratio ($CR_4$) and the Herfindahl-Hirschman Index (HHI)?
- $\text{CR}_4 = 90\%$; $\text{HHI} = 2,450$ Correct answer.
- $\text{CR}_4 = 70\%$; $\text{HHI} = 1,800$
- $\text{CR}_4 = 100\%$; $\text{HHI} = 3,200$
- $\text{CR}_4 = 80\%$; $\text{HHI} = 2,100$
Explanation
1. The Four-Firm Concentration Ratio ($CR_4$) is the sum of the market shares of the top 4 firms:
$$\text{CR}_4 = 35\% + 25\% + 20\% + 10\% = 90\%$$
2. The Herfindahl-Hirschman Index (HHI) is calculated by summing the squares of the percentage market shares of all firms in the market:
$$\text{HHI} = 35^2 + 25^2 + 20^2 + 10^2 + 10^2 = 1,225 + 625 + 400 + 100 + 100 = 2,450$$
The computed HHI is 2,450. Any regulatory concentration label depends on the jurisdiction and current review framework; the arithmetic alone supplies no legal classification.
Question 19Business strategy
In an antitrust review of an industry with an initial HHI of 1,600, Firm 2 (market share 20%) proposes to merge with Firm 3 (market share 15%). By how many points will the HHI increase after the merger, and what will be the new HHI?
- The HHI will increase by 600 points to a new HHI of 2,200 Correct answer.
- The HHI will increase by 300 points to a new HHI of 1,900
- The HHI will increase by 1,225 points to a new HHI of 2,825
- The HHI will decrease by 200 points due to operational synergies
Explanation
The HHI change from merging firms with shares $s_1$ and $s_2$ is:
$$\Delta \text{HHI} = (s_1 + s_2)^2 - (s_1^2 + s_2^2) = 2 \times s_1 \times s_2$$
Thus $2 \times 20 \times 15 = 600$, and the new HHI is $1,600 + 600 = 2,200$. Regulatory significance depends on the governing jurisdiction's current merger-review framework; the arithmetic does not itself decide legality.
Question 20Business strategy
In supply chain and industry value chain analysis, what is the "Bullwhip Effect" (牛鞭效应), and how does it manifest in upstream raw material and component sectors?
- Small fluctuations in downstream retail end-consumer demand become increasingly amplified and distorted as orders travel upstream, causing severe demand volatility, inventory swings, and capacity overshooting for upstream suppliers Correct answer.
- Upstream raw material prices remain perfectly fixed forever while downstream consumer prices fluctuate wildly
- Downstream retailers bear 100% of supply chain costs while upstream suppliers have zero production expenses
- Supply chain logistics delivery times decrease to zero as distance increases
Explanation
The Bullwhip Effect (牛鞭效应) describes the phenomenon where small variations in end-consumer retail demand create magnified fluctuations in orders upstream through retailers, wholesalers, finished goods manufacturers, and raw material extractors. This occurs due to demand forecasting updating, order batching, price fluctuations, and rationing gaming. For upstream cyclical sectors (e.g., lithium salts, semiconductor wafers, steel), it causes severe over-expansion during up-cycles and brutal inventory destocking during downturns.
Question 21Business strategy
In equity research competitive advantage analysis, which of the following scenarios best demonstrates an "Economic Moat" (经济护城河) built on high Switching Costs (转换成本)?
- An enterprise ERP and core-banking software provider whose systems are deeply embedded in client workflows, so migration would require material retraining, implementation work, data conversion, and operational-risk controls Correct answer.
- A fast-food restaurant selling standard fried chicken where consumers can walk to an adjacent store at zero cost
- A commodity wheat producer selling grain at the global spot price
- A roadside gasoline station competing purely on price with three identical stations on the same corner
Explanation
Switching costs (转换成本) are the economic, technical, contractual, and operational burdens a customer bears when changing providers. Deep integration, retraining, data conversion, testing, and business-continuity work can make enterprise software costly to replace and can support retention or pricing power. Their magnitude must be evidenced for the company being analyzed rather than assumed from the product label.
Question 22Business strategy
On an industry Cost Curve (行业成本曲线), the long-term equilibrium market clearing price for a standardized cyclical commodity (e.g. polysilicon, lithium carbonate, aluminum smelting) is primarily anchored by:
- The relevant full cash or long-run marginal cost of the producer needed to supply the last unit of demand (边际出清成本) Correct answer.
- The production cost of the lowest-cost tier-1 producer in the world
- The highest price recorded during the previous speculative bubble
- The statutory book value per share of the largest state-owned enterprise in the sector
Explanation
In a competitive commodity model, capacity is ranked on a cost curve and the producer needed for the marginal unit helps anchor the long-run clearing price. The appropriate measure may be marginal cash cost, replacement cost, or a fuller long-run cost depending on the commodity and horizon. 'AISC' is a sector-specific convention and should not be imposed universally on polysilicon, lithium, and aluminum.
Question 23Business strategy
A semiconductor manufacturing facility has annual Fixed Operating Costs of ¥400 million and a Variable Cost Ratio of 40% (Variable Cost / Revenue = 0.40). In Year 1, Revenue is ¥1,000 million. In Year 2, Revenue increases by 20% to ¥1,200 million. What is the Degree of Operating Leverage (DOL) at Year 1 and the percentage increase in Operating Profit (EBIT)?
- $\text{DOL} = 3.0$; EBIT increases by 60% Correct answer.
- $\text{DOL} = 1.5$; EBIT increases by 30%
- $\text{DOL} = 5.0$; EBIT increases by 100%
- $\text{DOL} = 2.0$; EBIT increases by 40%
Explanation
1. Contribution Margin (CM) in Year 1 = $\text{Revenue} \times (1 - 0.40) = ¥1,000\text{M} \times 0.60 = ¥600\text{M}$.
2. EBIT in Year 1 = $\text{CM} - \text{Fixed Costs} = ¥600\text{M} - ¥400\text{M} = ¥200\text{M}$.
3. Degree of Operating Leverage at base revenue:
$$\text{DOL} = \frac{\text{Contribution Margin}}{\text{EBIT}} = \frac{¥600\text{M}}{¥200\text{M}} = 3.0$$
4. With a 20% revenue increase ($\Delta S / S = 20\%$):
$$\% \Delta \text{EBIT} = \text{DOL} \times \% \Delta \text{Revenue} = 3.0 \times 20\% = 60\%$$
(Verification: In Year 2, Revenue = ¥1,200M, CM = ¥720M, EBIT = ¥720M - ¥400M = ¥320M. Growth = $(320 - 200) / 200 = 60\%$).
Question 24Business strategy
Which of the following industry sectors is best classified as a Defensive Industry (防御型行业 / 弱周期行业)?
- Public Utilities (water, power transmission, gas supply) and Essential Consumer Goods (staple foods, basic pharmaceuticals) Correct answer.
- Commercial Aircraft Manufacturing and Heavy Mining Machinery
- Luxury Yachts, High-end Hospitality, and Resort Tourism
- Steel Smelting, Bulk Shipping (Capesize Dry Bulk), and Construction Excavators
Explanation
Defensive Industries (防御型行业) produce goods and services with low price and income elasticity of demand (e.g., electric utilities, municipal water, staple food, essential healthcare). Consumer demand remains stable regardless of whether the macro economy is expanding or in recession, resulting in low revenue beta relative to GDP.
Question 25Business strategy
When the solar photovoltaic industry rapidly transitioned from P-type PERC cell technology to N-type TOPCon and HJT technologies, how did this technological S-curve substitution affect existing PERC manufacturing lines?
- Existing PERC lines could face lower utilization or pricing and possible impairment indicators if they could not be economically upgraded as demand shifted toward higher-efficiency N-type cells Correct answer.
- PERC manufacturing lines became instantly more profitable because older equipment requires no electricity
- The transition guaranteed that PERC technology would remain the dominant global standard for the next 50 years
- Technological substitution had zero impact because solar customers ignore conversion efficiency
Explanation
A shift toward higher-efficiency N-type technologies can reduce demand and pricing power for older PERC capacity and can create impairment indicators for assets that cannot be economically upgraded. The scale and timing of any write-down depend on line compatibility, product demand, utilization, prices, and recoverable value; technology labels alone do not determine an accounting impairment.
Question 26Business strategy
A premium baijiu distiller faces an estimated price elasticity of demand $|E_d| = 0.40$ (price inelastic). If the company increases the ex-factory selling price (出厂价) of its flagship product by 10%, what will be the expected percentage change in sales volume and total revenue?
- Sales volume decreases by 4.0%, and Total Revenue increases by approximately 5.6% Correct answer.
- Sales volume decreases by 10.0%, and Total Revenue remains unchanged
- Sales volume increases by 4.0%, and Total Revenue increases by 14.0%
- Sales volume decreases by 25.0%, and Total Revenue falls by 15.0%
Explanation
1. Price Elasticity of Demand: $E_d = \frac{\% \Delta Q}{\% \Delta P} = -0.40$.
2. With $\% \Delta P = +10\%$, the change in quantity demanded is:
$$\% \Delta Q = -0.40 \times (+10\%) = -4.0\%$$
3. New Total Revenue: $\text{TR}_1 = P_0(1 + 0.10) \times Q_0(1 - 0.04) = P_0 Q_0 \times (1.10 \times 0.96) = 1.056 \times \text{TR}_0$.
Total revenue increases by $+5.6\%$. When demand is price-inelastic ($|E_d| < 1$), price increases expand total revenue, demonstrating strong enterprise pricing power.
Question 27Business strategy
In China's industrial upgrading and high-value manufacturing transition, what are the "New Three" (新三样) export pillars that succeeded the "Old Three" (apparel, footwear, home appliances)?
- Electric Vehicles (新能源汽车), Lithium-ion Batteries (锂电池), and Solar Photovoltaic Products (光伏产品) Correct answer.
- Crude Oil, Thermal Coal, and Iron Ore
- Real Estate Development, Steel Rebar, and Cement
- Textiles, Plastic Toys, and Bicycles
Explanation
In China's modern macroeconomic foreign trade statistics, the "New Three" (新三样) refer to Electric Vehicles (EVs / 新能源汽车), Lithium-ion Batteries (锂电池), and Solar Photovoltaic Products (光伏产品). They represent China's successful structural transition from low-margin labor-intensive manufacturing ("Old Three": garments, furniture, appliances) to advanced high-tech clean energy equipment and green manufacturing exports.
Question 28Business strategy
Under China's "Dual Carbon" goals (双碳目标: Carbon Peak by 2030, Carbon Neutrality by 2060), what is the primary operational mechanism of the National Carbon Emission Trading Market (全国碳排放权交易市场)?
- Allocating emission allowances (CEA) to high-emission enterprises and enabling carbon-efficient firms to sell surplus allowances to carbon-intensive firms, creating market-driven price incentives to decarbonize Correct answer.
- Imposing a total nationwide ban on all industrial electricity consumption
- Distributing unlimited free carbon credits to all enterprises without monitoring emissions
- Confiscating all thermal power plants without financial compensation
Explanation
China's national carbon market allocates China Emission Allowances (CEA / 碳排放配额) to covered entities using sector and output-based benchmarks, supported by monitored and verified emissions data. An entity with surplus allowances can sell them, while one with a compliance shortfall must obtain allowances. This intensity-benchmark design creates a carbon-price incentive, but it should not be described as a universal fixed absolute emissions cap.
Question 29Business strategy
In Porter's Five Forces analysis, which of the following industry conditions significantly INCREASES the Bargaining Power of Suppliers (供应商议价能力)?
- The supplier industry is dominated by a few concentrated oligopolists, the input is critical to the buyer's product quality, switching costs are prohibitive, and suppliers pose a credible threat of forward integration Correct answer.
- Suppliers produce a standardized commodity with hundreds of alternative global producers
- Buyers represent 80% of total supplier revenue and can easily backward-integrate
- Substitute inputs are abundant, cheap, and immediately available
Explanation
Suppliers possess strong bargaining power over an industry when: (1) the supply market is concentrated and dominated by few players (e.g., ASML in EUV lithography, TSMC in advanced wafer foundry); (2) the supplier's product is a differentiated, mission-critical input; (3) buyers face high switching costs; (4) there are no effective substitutes; and (5) suppliers can credibly integrate forward into the buyer's industry.
Question 30Business strategy
An enterprise Cloud SaaS company reports an Average Revenue Per User (ARPU) of ¥24,000 per year, a Gross Margin of 80%, an annual customer churn rate (Churn) of 12%, and a Customer Acquisition Cost (CAC) of ¥40,000. What is the Customer Lifetime Value (LTV) and the LTV/CAC ratio?
- $\text{LTV} = ¥160,000$; $\text{LTV/CAC} = 4.0\text{x}$ Correct answer.
- $\text{LTV} = ¥200,000$; $\text{LTV/CAC} = 5.0\text{x}$
- $\text{LTV} = ¥80,000$; $\text{LTV/CAC} = 2.0\text{x}$
- $\text{LTV} = ¥120,000$; $\text{LTV/CAC} = 3.0\text{x}$
Explanation
Using the simplified steady-state formula:
$$\text{LTV} = \frac{¥24,000 \times 0.80}{0.12} = ¥160,000$$
and $\text{LTV/CAC} = ¥160,000 / ¥40,000 = 4.0\text{x}$. Any judgment about quality must also consider discounting, cohort retention, expansion revenue, payback period, and CAC definition; a fixed 3.0x cutoff is only a heuristic.
Question 31Business strategy
When assessing the "Domestic Replacement" (国产替代) competitive progress of Chinese semiconductor equipment manufacturers, which metric provides the most direct evidence of commercial fab penetration?
- Domestic Bidding Win Rate (中标率) and Verified Tool Penetration Rate (验证导入率) in domestic semiconductor fabrication lines (Wafer Fabs) Correct answer.
- Total number of marketing brochures distributed at overseas consumer electronics expos
- Number of non-technical trademarks registered in the company name
- Amount of bank deposits held in personal savings accounts by retail sales staff
Explanation
In equity research coverage of semiconductor equipment and high-end industrial tools, the Domestic Replacement Rate (国产化率) is evaluated using hard fab data: the Bidding Win Rate (中标率 / 招标份额) across major domestic logic and memory fabs (e.g., SMIC, YMTC, CXMT), repeat order volumes, and verification pass rates for specific process nodes (etching, cleaning, thin-film deposition, CMP).
Question 32Business strategy
Under the classic Experience Curve Effect (经验曲线效应 / 学习效应), what is the fundamental mathematical relationship between unit production costs and cumulative production volume?
- A fitted experience curve models real unit cost as declining by a roughly constant percentage each time cumulative production doubles Correct answer.
- Unit costs increase exponentially with cumulative production volume
- Production costs are completely independent of cumulative volume and depend solely on marketing expenses
- Unit costs decline only for the first ten units produced and then remain permanently flat
Explanation
An experience curve models real unit cost as declining by a fitted percentage with each doubling of cumulative production. The percentage is empirical and industry-specific, reflecting learning, process redesign, yield improvement, specialization, and scale; it is not universally 15–25% and need not persist unchanged.
Question 33Financial statements, assets, inventory and cash-flow models
Under the classic 3-Factor DuPont Analysis Model (传统杜邦分析体系), Return on Equity (ROE / 净资产收益率) is decomposed into which three core financial ratios?
- $\text{ROE} = \text{Net Profit Margin (净利润率)} \times \text{Total Asset Turnover (总资产周转率)} \times \text{Equity Multiplier (权益乘数)}$ Correct answer.
- $\text{ROE} = \text{Gross Margin} \times \text{Current Ratio} \times \text{Debt-to-Equity Ratio}$
- $\text{ROE} = \text{Operating Margin} \times \text{Inventory Turnover} \times \text{Cash Ratio}$
- $\text{ROE} = \text{EBIT Margin} \times \text{Accounts Receivable Turnover} \times \text{Asset-Liability Ratio}$
Explanation
The 3-factor DuPont decomposition breaks down ROE into:
$$\text{ROE} = \frac{\text{Net Profit}}{\text{Equity}} = \frac{\text{Net Profit}}{\text{Revenue}} \times \frac{\text{Revenue}}{\text{Assets}} \times \frac{\text{Assets}}{\text{Equity}}$$
- Net Profit Margin (盈利能力): Profitability per dollar of sales.
- Asset Turnover (营运能力): Efficiency in utilizing total assets to generate sales.
- Equity Multiplier (财务杠杆): Degree of financial leverage.
Question 34Financial statements, assets, inventory and cash-flow models
A listed company reports Net Income of ¥180 million on Revenue of ¥1,500 million. Its Average Total Assets are ¥3,000 million and Average Shareholders' Equity is ¥1,200 million. What are the company's Net Profit Margin, Total Asset Turnover, Equity Multiplier, and ROE?
- Net Profit Margin = 12.0%; Asset Turnover = 0.50x; Equity Multiplier = 2.50; ROE = 15.0% Correct answer.
- Net Profit Margin = 15.0%; Asset Turnover = 0.60x; Equity Multiplier = 2.00; ROE = 18.0%
- Net Profit Margin = 10.0%; Asset Turnover = 0.50x; Equity Multiplier = 3.00; ROE = 15.0%
- Net Profit Margin = 12.0%; Asset Turnover = 1.00x; Equity Multiplier = 1.25; ROE = 15.0%
Explanation
1. Net Profit Margin = $\frac{\text{Net Income}}{\text{Revenue}} = \frac{¥180\text{M}}{¥1,500\text{M}} = 12.0\%$.
2. Total Asset Turnover = $\frac{\text{Revenue}}{\text{Average Assets}} = \frac{¥1,500\text{M}}{¥3,000\text{M}} = 0.50\text{x}$.
3. Equity Multiplier = $\frac{\text{Average Assets}}{\text{Average Equity}} = \frac{¥3,000\text{M}}{¥1,200\text{M}} = 2.50$.
4. $\text{ROE} = 12.0\% \times 0.50 \times 2.50 = 15.0\%$.
(Verification: $\text{ROE} = \frac{\text{Net Income}}{\text{Equity}} = \frac{¥180\text{M}}{¥1,200\text{M}} = 15.0\%$).
Question 35Financial statements, assets, inventory and cash-flow models
Under the extended 5-Factor DuPont Analysis Model, a firm reports: EBIT = ¥500M; Pre-Tax Income (EBT) = ¥400M; Net Income = ¥300M; Revenue = ¥2,500M; Average Total Assets = ¥5,000M; Average Shareholders' Equity = ¥2,000M. What are the Tax Burden, Interest Burden, Operating Margin, Asset Turnover, Financial Leverage, and ROE?
- Tax Burden = 0.75; Interest Burden = 0.80; Operating Margin = 20.0%; Asset Turnover = 0.50x; Leverage = 2.50; ROE = 15.0% Correct answer.
- Tax Burden = 0.80; Interest Burden = 0.75; Operating Margin = 15.0%; Asset Turnover = 1.00x; Leverage = 2.00; ROE = 18.0%
- Tax Burden = 0.60; Interest Burden = 0.90; Operating Margin = 25.0%; Asset Turnover = 0.50x; Leverage = 2.50; ROE = 16.875%
- Tax Burden = 0.75; Interest Burden = 1.00; Operating Margin = 20.0%; Asset Turnover = 0.50x; Leverage = 2.00; ROE = 15.0%
Explanation
The 5-factor DuPont model decomposes ROE as:
$$\text{ROE} = \frac{\text{Net Income}}{\text{EBT}} \times \frac{\text{EBT}}{\text{EBIT}} \times \frac{\text{EBIT}}{\text{Revenue}} \times \frac{\text{Revenue}}{\text{Assets}} \times \frac{\text{Assets}}{\text{Equity}}$$
1. Tax Burden = $\frac{\text{Net Income}}{\text{EBT}} = \frac{¥300\text{M}}{¥400\text{M}} = 0.75$
2. Interest Burden = $\frac{\text{EBT}}{\text{EBIT}} = \frac{¥400\text{M}}{¥500\text{M}} = 0.80$
3. Operating Margin = $\frac{\text{EBIT}}{\text{Revenue}} = \frac{¥500\text{M}}{¥2,500\text{M}} = 20.0\%$
4. Asset Turnover = $\frac{\text{Revenue}}{\text{Assets}} = \frac{¥2,500\text{M}}{¥5,000\text{M}} = 0.50\text{x}$
5. Leverage Multiplier = $\frac{\text{Assets}}{\text{Equity}} = \frac{¥5,000\text{M}}{¥2,000\text{M}} = 2.50$
6. $\text{ROE} = 0.75 \times 0.80 \times 0.20 \times 0.50 \times 2.50 = 15.0\%$.
(Verification: $\text{Net Income} / \text{Equity} = 300 / 2000 = 15.0\%$).
Question 36Financial statements, assets, inventory and cash-flow models
What is the correct mathematical formula for calculating a company's Cash Conversion Cycle (CCC / 现金循环周期)?
- $\text{CCC} = \text{Days Sales Outstanding (DSO / 应收账款周转天数)} + \text{Days Inventory Outstanding (DIO / 存货周转天数)} - \text{Days Payable Outstanding (DPO / 应付账款周转天数)}$ Correct answer.
- $\text{CCC} = \text{DSO} - \text{DIO} + \text{DPO}$
- $\text{CCC} = \text{DSO} + \text{DIO} + \text{DPO}$
- $\text{CCC} = \frac{\text{DSO} \times \text{DIO}}{\text{DPO}}$
Explanation
The Cash Conversion Cycle (CCC) measures the elapsed time in days from cash outlay for inputs to cash collection from sales:
$$\text{Operating Cycle} = \text{DIO} + \text{DSO}$$
$$\text{CCC} = \text{DIO} + \text{DSO} - \text{DPO}$$
A shorter or negative CCC can indicate efficient working-capital management or bargaining power, but it should be assessed with payment discipline, supplier concentration, inventory availability, and business-model context.
Question 37Financial statements, assets, inventory and cash-flow models
A consumer manufacturing firm reports the following annual financial data (using a 360-day year): Annual Revenue = ¥720 million; Cost of Goods Sold (COGS) = ¥540 million; Average Accounts Receivable = ¥90 million; Average Inventory = ¥135 million; Average Accounts Payable = ¥90 million. What are the company's DSO, DIO, DPO, and CCC?
- $\text{DSO} = 45\text{ days}$; $\text{DIO} = 90\text{ days}$; $\text{DPO} = 60\text{ days}$; $\text{CCC} = 75\text{ days}$ Correct answer.
- $\text{DSO} = 60\text{ days}$; $\text{DIO} = 90\text{ days}$; $\text{DPO} = 45\text{ days}$; $\text{CCC} = 105\text{ days}$
- $\text{DSO} = 45\text{ days}$; $\text{DIO} = 60\text{ days}$; $\text{DPO} = 60\text{ days}$; $\text{CCC} = 45\text{ days}$
- $\text{DSO} = 50\text{ days}$; $\text{DIO} = 100\text{ days}$; $\text{DPO} = 50\text{ days}$; $\text{CCC} = 100\text{ days}$
Explanation
1. $\text{DSO} = \frac{\text{Average AR}}{\text{Revenue}} \times 360 = \frac{¥90\text{M}}{¥720\text{M}} \times 360 = 0.125 \times 360 = 45\text{ days}$.
2. $\text{DIO} = \frac{\text{Average Inventory}}{\text{COGS}} \times 360 = \frac{¥135\text{M}}{¥540\text{M}} \times 360 = 0.25 \times 360 = 90\text{ days}$.
3. $\text{DPO} = \frac{\text{Average AP}}{\text{COGS}} \times 360 = \frac{¥90\text{M}}{¥540\text{M}} \times 360 = \frac{1}{6} \times 360 = 60\text{ days}$.
4. $\text{CCC} = \text{DSO} + \text{DIO} - \text{DPO} = 45 + 90 - 60 = 75\text{ days}$.
Question 38Financial statements, assets, inventory and cash-flow models
Retail leaders and leading e-commerce platforms (such as JD.com and Costco) frequently operate with a Negative Cash Conversion Cycle (负现金循环周期, e.g. $\text{CCC} = -15\text{ days}$). What is the core business mechanism behind a negative CCC?
- The enterprise collects cash immediately from end-customers (very low DSO) and turns inventory rapidly (low DIO), while negotiating extended credit payment terms with upstream suppliers (high DPO, where $\text{DPO} > \text{DSO} + \text{DIO}$), effectively using supplier funds as interest-free working capital Correct answer.
- The enterprise is insolvent and cannot pay its utility bills
- The enterprise sells all merchandise on 10-year unsecured credit to retail shoppers
- The enterprise maintains zero bank accounts and transacts purely in physical gold bullion
Explanation
A negative CCC occurs when $\text{DPO} > \text{DSO} + \text{DIO}$. A high-turnover retailer may collect customer cash quickly, turn inventory rapidly, and pay suppliers later, creating a working-capital funding benefit. The actual payment terms and benefit vary, and a negative CCC should also be tested for overdue payables or supplier stress.
Question 39Financial statements, assets, inventory and cash-flow models
An equity research analyst observes that Company W reported a 45% year-over-year surge in Net Income, but its Net Operating Cash Flow (经营活动现金流量净额) turned negative and Accounts Receivable grew by 90%. What does this divergence most directly indicate?
- Poor earnings quality (盈余质量低下), potential aggressive revenue recognition, channel stuffing, or mounting customer credit default risk Correct answer.
- Outstanding operational excellence with zero credit risk
- The company has fully paid off all long-term debts with operating cash
- The company's corporate income tax rate has dropped to zero
Explanation
A sustained divergence where Net Income grows strongly while Operating Cash Flow is negative or declining-accompanied by a surge in Accounts Receivable outstripping Revenue growth-is a classic red flag for low earnings quality. It indicates that reported profits are driven by non-cash accruals (uncollected credit sales), aggressive revenue recognition, channel stuffing, or uncollectible receivables rather than genuine cash generation.
Question 40Financial statements, assets, inventory and cash-flow models
In earnings quality and financial statement forensics, what is the definition and formula for Total Accruals (总应计项)?
- $\text{Total Accruals} = \text{Net Income (净利润)} - \text{Net Operating Cash Flow (经营活动现金流量净额)}$ Correct answer.
- $\text{Total Accruals} = \text{Total Assets} - \text{Total Liabilities}$
- $\text{Total Accruals} = \text{Gross Margin} + \text{Operating Margin}$
- $\text{Total Accruals} = \text{Cash and Equivalents} + \text{Short-term Borrowings}$
Explanation
Total Accruals (总应计项) represent the non-cash component of reported earnings:
$$\text{Total Accruals} = \text{Net Income} - \text{Net Operating Cash Flow}$$
Under models such as the Sloan Accrual Anomaly and Modified Jones Model, high positive accruals indicate that earnings rely heavily on accounting estimates and credit receivables rather than realized cash, which correlates with future earnings mean-reversion.
Question 41Financial statements, assets, inventory and cash-flow models
Which of the following accounting anomalies constitutes a major Red Flag (财务造假/粉饰预警信号) for fraudulent or premature revenue recognition?
- A massive concentration of revenue recognized in the final two weeks of December with abnormally loose credit terms, accompanied by a surge in "Bill and Hold" transactions and large sales returns in January of the subsequent fiscal year Correct answer.
- Steady quarterly revenue growth aligned with industry peer order book expansion
- Cash collections from customer invoices deposited in corporate bank accounts within 30 days
- Inventory levels declining proportionally with verified shipment delivery logs
Explanation
Recognizing a disproportionate share of annual revenue in the final weeks of the fourth quarter (year-end revenue spiking), utilizing "Bill and Hold" arrangements without customer requests, shipping unordered goods to distributor channels (channel stuffing), and experiencing widespread customer sales returns or order cancellations immediately after year-end are quintessential red flags of fraudulent revenue inflation.
Question 42Financial statements, assets, inventory and cash-flow models
What is the standard formula for deriving Free Cash Flow to the Firm (FCFF / 实体现金流量) starting from Operating Profit (EBIT)?
- $\text{FCFF} = \text{EBIT}(1 - t) + \text{Depreciation \& Amortization} - \text{Capital Expenditures (CapEx)} - \Delta \text{Net Operating Working Capital (NOWC)}$ Correct answer.
- $\text{FCFF} = \text{Net Income} - \text{Dividends Paid}$
- $\text{FCFF} = \text{Revenue} - \text{Cost of Goods Sold}$
- $\text{FCFF} = \text{EBIT} + \text{Short-term Debt Issued}$
Explanation
Free Cash Flow to the Firm (FCFF) represents the cash flow available to all capital providers (both debt holders and equity shareholders) after covering operating expenses, taxes, and mandatory reinvestments in working capital and fixed assets:
$$\text{FCFF} = \text{NOPAT} + \text{D\&A} - \text{CapEx} - \Delta \text{NOWC} = \text{EBIT}(1 - t) + \text{D\&A} - \text{CapEx} - \Delta \text{NOWC}$$
Question 43Financial statements, assets, inventory and cash-flow models
Which of the following formulas correctly defines the Quick Ratio (Acid-Test Ratio / 速动比率)?
- $\text{Quick Ratio} = \frac{\text{Current Assets} - \text{Inventory} - \text{Prepayments}}{\text{Current Liabilities}}$ Correct answer.
- $\text{Quick Ratio} = \frac{\text{Total Assets}}{\text{Total Liabilities}}$
- $\text{Quick Ratio} = \frac{\text{Cash} + \text{Fixed Assets}}{\text{Current Liabilities}}$
- $\text{Quick Ratio} = \frac{\text{Current Assets} + \text{Long-Term Debt}}{\text{Shareholders' Equity}}$
Explanation
The Quick Ratio measures short-term liquidity by evaluating assets that can be converted to cash almost immediately without substantial loss in value. It excludes illiquid current assets such as Inventory (存货) and Prepayments (预付款项):
$$\text{Quick Ratio} = \frac{\text{Quick Assets}}{\text{Current Liabilities}} = \frac{\text{Cash} + \text{Trading Financial Assets} + \text{Accounts Receivable}}{\text{Current Liabilities}}$$
Question 44Financial statements, assets, inventory and cash-flow models
A corporation reports Operating Income (EBIT) of ¥480 million. Its total gross interest payments are ¥80 million, of which ¥20 million is capitalized into construction-in-progress (资本化利息) and ¥60 million is expensed on the income statement (费用化利息). What is the corporation's Interest Coverage Ratio (利息保障倍数)?
- 6.0x Correct answer.
- 8.0x
- 4.0x
- 12.0x
Explanation
Under standard financial statement analysis guidelines, the Interest Coverage Ratio (利息保障倍数) measures the safety margin of operating earnings relative to ALL contractual interest obligations (both expensed and capitalized interest):
$$\text{Interest Coverage Ratio} = \frac{\text{EBIT}}{\text{Total Interest Payments (Expensed} + \text{Capitalized)}} = \frac{¥480\text{M}}{¥60\text{M} + ¥20\text{M}} = \frac{¥480\text{M}}{¥80\text{M}} = 6.0\text{x}$$
Question 45Financial statements, assets, inventory and cash-flow models
Under the New Lease Standard (CAS 21 / IFRS 16 / 企业会计准则第21号--租赁), what is the balance sheet and income statement effect on lessees when an operating lease is recognized?
- Lessees must recognize a Right-of-Use Asset (使用权资产) and a Lease Liability (租赁负债) on the balance sheet, which increases reported total assets and financial leverage, while replacing rental expense with Depreciation of the right-of-use asset and Interest Expense on the lease liability (elevating reported EBITDA) Correct answer.
- Leases remain completely off-balance-sheet with zero impact on assets or liabilities
- Lessees must recognize the entire lease payment as research and development expense
- Reported EBITDA decreases significantly because lease payments are deducted twice
Explanation
Under CAS 21 / IFRS 16, the former distinction between operating leases and finance leases was eliminated for lessees. Lessees must capitalize virtually all leases onto the balance sheet by recognizing a Right-of-Use Asset and a corresponding Lease Liability (measured at the present value of lease payments). On the income statement, linear operating lease rent is replaced by Right-of-Use Depreciation (operating cost) and Lease Liability Interest Expense (financial expense), which mechanically increases reported EBITDA.
Question 46Financial statements, assets, inventory and cash-flow models
When an analyst sees a substantial increase in Contract Liabilities (合同负债), what does that balance establish and what further analysis is required?
- It represents consideration received before the company has satisfied its performance obligations; the analyst must still test delivery obligations, refund or cancellation terms, customer concentration, and the timing and certainty of revenue recognition Correct answer.
- It proves that every advance receipt will become revenue in the next reporting period
- It is equivalent to interest-bearing bank debt and should be included in net debt without examining contract terms
- It proves accelerating organic demand even if balances arose from acquisitions, cancellations, or extended delivery obligations
Explanation
Under CAS 14, a contract liability records consideration received before the related performance obligation is satisfied. Advance cash can improve revenue visibility, but it is not automatically evidence of pricing power or guaranteed future revenue: analysts must assess remaining obligations, refunds, cancellations, customer concentration, and whether the balance reflects delayed delivery or other operational pressure.
Question 47Financial appraisal, financing and conditional valuation models
According to the Gordon Growth Dividend Discount Model (DDM / 戈登股利增长模型), what is the formula for the intrinsic equity share price $P_0$ when dividends grow at a constant perpetual rate $g$?
- $$P_0 = \frac{D_1}{r_e - g} = \frac{D_0(1 + g)}{r_e - g}$$ Correct answer.
- $$P_0 = \frac{D_0}{r_e + g}$$
- $$P_0 = \frac{D_1}{g - r_e}$$
- $$P_0 = D_0 \times (r_e - g)$$
Explanation
The Gordon Growth Model values a stock as the present value of an infinite stream of dividends growing at a constant rate $g$ (where required return $r_e > g$):
$$P_0 = \sum_{t=1}^{\infty} \frac{D_t}{(1 + r_e)^t} = \frac{D_1}{r_e - g} = \frac{D_0(1 + g)}{r_e - g}$$
Question 48Financial appraisal, financing and conditional valuation models
A commercial bank stock just distributed an annual dividend $D_0 = ¥1.50$ per share. Dividends are projected to grow at a constant perpetual rate of 4.0% per year. If the required rate of return on equity $r_e = 9.0\%$, what is the intrinsic value per share $P_0$?
- ¥31.20 Correct answer.
- ¥30.00
- ¥16.67
- ¥37.50
Explanation
1. Next year's expected dividend:
$$D_1 = D_0(1 + g) = ¥1.50 \times (1 + 0.04) = ¥1.56$$
2. Intrinsic Value per share:
$$P_0 = \frac{D_1}{r_e - g} = \frac{¥1.56}{0.09 - 0.04} = \frac{¥1.56}{0.05} = ¥31.20$$
Question 49Financial appraisal, financing and conditional valuation models
A high-growth technology company paid a base dividend $D_0 = ¥1.00$. Dividends are forecast to grow at 20% per year for the next two years (Stage 1: Years 1 and 2), and then stabilize at a perpetual growth rate $g = 5\%$ from Year 3 onward (Stage 2). If the required rate of return $r_e = 10\%$, what is the current intrinsic share price $P_0$ under the Two-Stage DDM?
- ¥27.27 Correct answer.
- ¥30.24
- ¥21.00
- ¥33.60
Explanation
1. Stage 1 Dividends:
- Year 1: $D_1 = 1.00 \times 1.20 = ¥1.20$; $\text{PV}(D_1) = \frac{1.20}{1.10^1} = ¥1.0909$
- Year 2: $D_2 = 1.20 \times 1.20 = ¥1.44$; $\text{PV}(D_2) = \frac{1.44}{1.10^2} = \frac{1.44}{1.21} = ¥1.1901$
- Total PV of Stage 1 = $1.0909 + 1.1901 = ¥2.2810$
2. Stage 2 Terminal Price at Year 2:
- Year 3 Dividend: $D_3 = D_2(1 + g) = 1.44 \times 1.05 = ¥1.5120$
- Terminal Value $P_2 = \frac{D_3}{r_e - g} = \frac{1.5120}{0.10 - 0.05} = \frac{1.5120}{0.05} = ¥30.24$
- Discounted Terminal Value $\text{PV}(P_2) = \frac{¥30.24}{1.10^2} = \frac{30.24}{1.21} = ¥24.9917$
3. Current Intrinsic Price $P_0 = \text{PV}(\text{Dividends}) + \text{PV}(P_2) = 2.2810 + 24.9917 = ¥27.2727 \approx ¥27.27$.
Question 50Financial appraisal, financing and conditional valuation models
In the Discounted Free Cash Flow to Firm (FCFF) enterprise valuation model, how is the intrinsic Equity Value (股权价值) properly derived from Enterprise Value (企业价值 / EV)?
- $$\text{Equity Value} = \text{Enterprise Value (EV)} - \text{Total Debt} + \text{Cash and Cash Equivalents} - \text{Minority Interests} - \text{Preferred Stock}$$ (or $\text{Equity Value} = \text{EV} - \text{Net Debt} - \text{Minority Interests}$) Correct answer.
- $$\text{Equity Value} = \text{Enterprise Value} + \text{Total Debt} - \text{Cash}$$
- $$\text{Equity Value} = \text{Enterprise Value} \times \text{Tax Rate}$$
- $$\text{Equity Value} = \text{Enterprise Value} - \text{Gross Revenue}$$
Explanation
Enterprise Value (EV) measures the total operating value of the firm belonging to all claimholders (debt, equity, preferred, minority holders). To calculate the net value belonging solely to common equity shareholders:
$$\text{Equity Value} = \text{EV} - \text{Total Debt} + \text{Cash \& Equivalents} - \text{Minority Interests} - \text{Preferred Stock} = \text{EV} - \text{Net Debt} - \text{Minority Interests}$$