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Question 1Double entry, reconciliation, errors and recording models
An enterprise acquired a piece of production equipment on December 20, 2023, at an initial cost of RMB 600,000. The estimated useful life is 5 years, with an estimated net residual value of RMB 24,000. The enterprise uses the Double-Declining Balance Method (双倍余额递减法) to calculate depreciation. What is the depreciation expense recognized for this equipment in the second year (calendar year 2025)?
- RMB 240,000
- RMB 144,000 Correct answer.
- RMB 115,200
- RMB 138,240
Explanation
Under the Double-Declining Balance Method: Annual depreciation rate = 2 / Useful life = 2 / 5 = 40%. Year 1 (2024) depreciation = Opening Carrying Amount * 40% = 600,000 * 40% = RMB 240,000 (residual value is not deducted in initial years). Year 2 opening carrying amount = 600,000 - 240,000 = RMB 360,000. Year 2 (2025) depreciation = 360,000 * 40% = RMB 144,000. (In the final two years, the remaining carrying amount minus estimated net residual value is converted to straight-line depreciation).
Question 2Double entry, reconciliation, errors and recording models
On January 1, 2024, Company A purchased corporate bonds with a face value of RMB 1,000,000 for RMB 950,000 (including transaction costs). The bonds have a 3-year term, an annual coupon rate of 4% payable annually on December 31, and an effective interest rate (实际利率) of 5.86%. Company A classifies this bond as a Debt Investment measured at Amortized Cost (债权投资). What is the interest revenue recognized in the Income Statement for the year ended December 31, 2024?
- RMB 40,000
- RMB 55,670 Correct answer.
- RMB 58,600
- RMB 15,670
Explanation
Under CAS 22, for financial assets measured at Amortized Cost, interest revenue is recognized by multiplying the opening carrying amount (amortized cost) by the effective interest rate: Interest Revenue = Opening Amortized Cost * Effective Interest Rate = RMB 950,000 * 5.86% = RMB 55,670. The coupon cash received = Face Value * Coupon Rate = RMB 1,000,000 * 4% = RMB 40,000. The discount amortization = 55,670 - 40,000 = RMB 15,670, increasing the bond's carrying amount at year-end to 950,000 + 15,670 = RMB 965,670.
Question 3Double entry, reconciliation, errors and recording models
When an enterprise derecognizes (sells) a bond investment classified as 'Other Debt Investments' (其他债权投资, measured at FVOCI) under CAS 22, how is the cumulative gain or loss previously recognized in Other Comprehensive Income (OCI / 其他综合收益) treated?
- It remains in Other Comprehensive Income indefinitely
- It is reclassified (recycled) from Other Comprehensive Income into Investment Income in the Income Statement (当期损益 / 投资收益) Correct answer.
- It is transferred directly to Retained Earnings without passing through the Income Statement
- It is reclassified to offset Capital Reserve (资本公积)
Explanation
Under CAS 22, for Other Debt Investments (其他债权投资 - debt instruments measured at FVOCI), upon derecognition, the cumulative gain or loss previously recognized directly in Other Comprehensive Income (OCI) is reclassified (recycled) from OCI into current profit or loss (Investment Income / 投资收益). This distinguishes debt instruments at FVOCI from non-trading equity instruments designated at FVOCI.
Question 4Double entry, reconciliation, errors and recording models
Company B irrevocably designated an investment in non-trading equity shares of a listed company as 'Other Equity Instrument Investments' (其他权益工具投资) measured at FVOCI under CAS 22. Upon ultimate sale of these shares, which accounting treatment is MANDATED by CAS 22?
- The cumulative fair value change in Other Comprehensive Income is transferred directly into Retained Earnings (留存收益), and NO amount is recycled to Profit or Loss Correct answer.
- The cumulative fair value change in Other Comprehensive Income is reclassified into Investment Income in Profit or Loss
- All dividend income received during the holding period must be reversed from Profit or Loss into equity
- The entire original cost must be restated at historical cost with all gains credited to Capital Reserve
Explanation
Under CAS 22, when an entity makes the irrevocable designation for non-trading equity instruments as 'Other Equity Instrument Investments' (其他权益工具投资), all changes in fair value are recognized in OCI (except dividend income which is recognized in P&L if criteria are met). Crucially, upon derecognition, the cumulative gain or loss recognized in OCI CANNOT be recycled to profit or loss; it must be transferred directly from OCI into Retained Earnings (留存收益 - surplus reserve and undistributed profits).
Question 5Double entry, reconciliation, errors and recording models
On March 1, 2025, Company H purchased 50,000 shares of a publicly listed firm as a Financial Asset at Fair Value through Profit or Loss (FVTPL / 交易性金融资产) at RMB 10 per share, incurring transaction fees of RMB 3,000. On June 30, 2025, the market price was RMB 12 per share. On August 15, 2025, Company H sold all 50,000 shares at RMB 13 per share, paying transaction fees of RMB 4,000. What is the TOTAL net impact of these transactions on Company H's operating profit for the year 2025?
- RMB 143,000 Correct answer.
- RMB 146,000
- RMB 150,000
- RMB 153,000
Explanation
For FVTPL assets under CAS 22: (1) Acquisition: initial cost = 50,000 * 10 = RMB 500,000; transaction fee of RMB 3,000 is recognized immediately as an Investment Loss (reducing profit by RMB 3,000). (2) June 30 fair value adjustment: fair value = 50,000 * 12 = RMB 600,000; gain on fair value change = 600,000 - 500,000 = +RMB 100,000 (P&L). (3) August 15 disposal: net proceeds = 50,000 * 13 - 4,000 = RMB 646,000; investment income on disposal = Net proceeds (646,000) - Carrying amount (600,000) = +RMB 46,000 (P&L). Total cumulative P&L impact in 2025 = -3,000 + 100,000 + 46,000 = +RMB 143,000 (or simply total net cash in 646,000 minus total cash out 503,000 = RMB 143,000).
Question 6Double entry, reconciliation, errors and recording models
Under the Expected Credit Loss (ECL) model in CAS 22, when a financial instrument experiences a 'significant increase in credit risk' (SICR) since initial recognition but has not yet become credit-impaired, into which stage is it categorized and how is its loss allowance measured?
- Stage 1, measured at 12-month expected credit losses
- Stage 2, measured at lifetime expected credit losses (整个存续期预期信用损失) Correct answer.
- Stage 3, measured at lifetime expected credit losses with interest calculated on net carrying amount
- Stage 4, measured at historical default loss rate
Explanation
Under CAS 22's three-stage ECL model: Stage 1 covers instruments with no significant increase in credit risk since initial recognition (loss allowance = 12-month ECL; interest based on gross carrying amount). Stage 2 applies when credit risk has increased significantly since initial recognition but the asset is not credit-impaired (loss allowance = Lifetime ECL; interest still based on gross carrying amount). Stage 3 applies when the asset is credit-impaired (loss allowance = Lifetime ECL; interest based on net amortized cost).
Question 7Double entry, reconciliation, errors and recording models
Under CAS 14 (Revenue), which of the following criteria establishes that a performance obligation is satisfied 'OVER TIME' (在某一时段内履行履约义务) rather than at a point in time?
- The customer signs an acceptance receipt upon final physical warehouse delivery
- The entity has a present legal right to payment and physical possession has transferred to the customer
- The entity's performance does not create an asset with an alternative use to the entity, AND the entity has an enforceable right to payment for performance completed to date throughout the contract period (具有不可替代用途且有权就累计至今已完成的履约部分收取款项) Correct answer.
- The customer makes an initial 20% non-refundable cash deposit
Explanation
Under Article 11 of CAS 14, a performance obligation is satisfied over time if ANY ONE of the following three criteria is met: (1) The customer simultaneously receives and consumes the benefits provided by the entity's performance as the entity performs; (2) The entity's performance creates or enhances an asset that the customer controls as the asset is created/enhanced; OR (3) The entity's performance does not create an asset with an alternative use to the entity, AND the entity has an enforceable right to payment for performance completed to date throughout the contract duration.
Question 8Double entry, reconciliation, errors and recording models
Company S signed a contract to sell Equipment X and Product Y for a bundled contract price of RMB 800,000. Under standalone market sales, the standalone selling price of Equipment X is RMB 600,000 and the standalone selling price of Product Y is RMB 400,000. Both represent distinct performance obligations. How much transaction price should be allocated to Equipment X under CAS 14?
- RMB 480,000 Correct answer.
- RMB 500,000
- RMB 600,000
- RMB 400,000
Explanation
Under Step 4 of CAS 14, the transaction price is allocated to each distinct performance obligation based on the relative proportion of their standalone selling prices (相对单独售价比例): Total standalone selling prices = 600,000 + 400,000 = RMB 1,000,000. Proportion for Equipment X = 600,000 / 1,000,000 = 60%. Allocated transaction price to Equipment X = 60% * RMB 800,000 = RMB 480,000. (Allocated price for Product Y = 40% * 800,000 = RMB 320,000).
Question 9Double entry, reconciliation, errors and recording models
When reconciling Net Profit to Cash Flows from Operating Activities using the Indirect Method in the supplementary schedule of the Cash Flow Statement under CAS 31, how should 'Depreciation of Fixed Assets' and 'Increase in Inventory' be adjusted?
- Depreciation is added back (+); Increase in Inventory is deducted (-) Correct answer.
- Depreciation is deducted (-); Increase in Inventory is added (+)
- Both Depreciation and Increase in Inventory are added back (+)
- Both Depreciation and Increase in Inventory are deducted (-)
Explanation
Under the Indirect Method: Net Profit is adjusted for non-cash expenses, non-operating items, and working capital changes. (1) Depreciation of Fixed Assets is a non-cash expense that reduced net profit without cash outflow, so it is ADDED BACK (+). (2) An Increase in Inventory represents cash tied up in working capital (inventory purchases exceeding cost of goods sold), so it is DEDUCTED (-).
Question 10Financial 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 11Financial 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 12Financial 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 13Financial 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 14Financial 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 15Financial 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 16Financial 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 17Financial 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 18Financial 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 19Financial 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 20Financial 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 21Financial 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 22Financial 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 23Financial 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 24Management costing, budgets and relevant decisions
A factory analyzes its equipment maintenance costs across the past year using the High-Low Method (高低点法). The highest production activity occurred in October (12,000 machine hours, total cost RMB 86,000), and the lowest occurred in February (7,000 machine hours, total cost RMB 56,000). What are the estimated unit variable cost ($b$) and total monthly fixed cost ($a$) for maintenance?
- $b = \text{RMB } 6.00$ per hour; $a = \text{RMB } 14,000$ Correct answer.
- $b = \text{RMB } 5.00$ per hour; $a = \text{RMB } 26,000$
- $b = \text{RMB } 6.00$ per hour; $a = \text{RMB } 72,000$
- $b = \text{RMB } 7.17$ per hour; $a = \text{RMB } 0$
Explanation
Under the High-Low Method (高低点法), the high and low points are chosen based on the ACTIVITY level ($X$):
1. Unit variable cost $b = \frac{Y_{\text{high}} - Y_{\text{low}}}{X_{\text{high}} - X_{\text{low}}} = \frac{86,000 - 56,000}{12,000 - 7,000} = \frac{30,000}{5,000} = \text{RMB } 6.00$ per machine hour.
2. Total fixed cost $a = Y_{\text{high}} - b \times X_{\text{high}} = 86,000 - (6.00 \times 12,000) = 86,000 - 72,000 = \text{RMB } 14,000$ (or using the low point: $56,000 - 6.00 \times 7,000 = 56,000 - 42,000 = \text{RMB } 14,000$).
Question 25Management costing, budgets and relevant decisions
Compared to a Static/Fixed Budget (固定预算), which of the following is the PRIMARY advantage of a Flexible Budget (弹性预算 / 变动预算)?
- It eliminates all discretionary fixed costs across departments.
- It provides budget estimates across a range of operational activity levels, facilitating realistic variance analysis. Correct answer.
- It is unaffected by macroeconomic fluctuations because it relies on historical actual figures.
- It removes the need for physical production and sales volume forecasts.
Explanation
A Flexible Budget (弹性预算) is prepared for a range of activity levels (typically 70%–110% or 80%–120% of normal capacity) based on cost behavior relationships ($Y = a + bX$). Its key advantages are wide adaptability and direct comparability for performance evaluation when actual volume differs from the static budget target.
Question 26Management costing, budgets and relevant decisions
Which budgeting methodology assumes a 'zero baseline' (基期为零), re-evaluating every expenditure from scratch based on future operational necessity and cost-benefit justification rather than adjusting historical base-period spending?
- Incremental Budgeting (增量预算)
- Zero-Based Budgeting (零基预算 / ZBB) Correct answer.
- Periodic Budgeting (定期预算)
- Rolling Budgeting (滚动预算)
Explanation
Zero-Based Budgeting (零基预算 / ZBB) ignores historical cost levels and starts from a clean slate (zero baseline). Every operational activity and budget item must be thoroughly justified based on cost-benefit analysis, urgency, and resource constraints, effectively eliminating historical inefficiencies and budget padding.
Question 27Management costing, budgets and relevant decisions
An enterprise implements a continuous Rolling Budget (滚动预算 / 连续预算) updated on a quarterly basis. Which of the following statements regarding the structural operation and benefits of rolling budgeting is CORRECT?
- The budget period strictly terminates at the end of the statutory calendar year on December 31.
- It maintains a constant forward-looking 12-month budget horizon by adding a new quarter as each current quarter elapses. Correct answer.
- It requires all capital expenditures to be re-authorized under zero-base rules every month.
- It completely replaces the need for operational cash flow tracking and daily cash budgets.
Explanation
A Rolling Budget (滚动预算) continuously projects a fixed future horizon (typically 12 months or 4 quarters). As each month or quarter finishes, it is dropped and the next future period is added, ensuring management always maintains dynamic forward visibility and alignment with changing operational conditions.
Question 28Management costing, budgets and relevant decisions
A manufacturing enterprise prepares its Production Budget (生产预算) for the first quarter. Projected sales volume is 20,000 units for Q1 and 25,000 units for Q2. Company policy dictates that finished goods ending inventory for each quarter must equal 10% of the following quarter's expected sales. If the beginning finished goods inventory on January 1 is 2,000 units, how many units must be produced in Q1?
- 19,500 units
- 20,500 units Correct answer.
- 22,500 units
- 23,000 units
Explanation
In the production budget (expressed purely in physical units):
Expected Production Volume $= \text{Expected Sales Volume} + \text{Target Ending Inventory} - \text{Beginning Inventory}$.
1. Q1 Target Ending Inventory $= 25,000 \times 10\% = 2,500$ units.
2. Q1 Expected Production $= 20,000 + 2,500 - 2,000 = 20,500$ units.
Question 29Management costing, budgets and relevant decisions
A firm forecasts quarterly sales revenues: Q1 = RMB 500,000; Q2 = RMB 600,000; Q3 = RMB 700,000. Customer collection experience demonstrates that 60% of sales are collected in cash during the quarter of sale, 30% in the following quarter, and the remaining 10% in the second following quarter. What is the budgeted cash collection from sales in Q3?
- RMB 420,000
- RMB 600,000
- RMB 650,000 Correct answer.
- RMB 700,000
Explanation
Cash collections in Q3 arise from sales in Q3, Q2, and Q1:
- From Q3 sales ($60\%$ of RMB 700,000) $= \text{RMB } 420,000$
- From Q2 sales ($30\%$ of RMB 600,000) $= \text{RMB } 180,000$
- From Q1 sales ($10\%$ of RMB 500,000) $= \text{RMB } 50,000$
Total Q3 Cash Collections $= 420,000 + 180,000 + 50,000 = \text{RMB } 650,000$.
Question 30Management costing, budgets and relevant decisions
In the Manufacturing Overhead Budget (制造费用预算), total budgeted manufacturing overhead for Q2 is RMB 180,000, which includes RMB 45,000 of plant equipment depreciation. How much cash disbursement should be incorporated into the Cash Budget for manufacturing overhead in Q2?
- RMB 180,000
- RMB 135,000 Correct answer.
- RMB 225,000
- RMB 45,000
Explanation
Depreciation is a non-cash expense (非付现成本). In converting budgeted manufacturing overhead to cash disbursements for the Cash Budget, non-cash charges must be deducted:
$\text{Cash Disbursement for Overhead} = \text{Total Budgeted Overhead} - \text{Depreciation} = 180,000 - 45,000 = \text{RMB } 135,000$.
Question 31Management costing, budgets and relevant decisions
A department compiles a flexible budget formula for utility costs: $Y = 30,000 + 4.5X$, where $X$ represents machine operating hours. If the department actually operates 8,000 machine hours during the month, what is the flexible budget allowance for utility expenses?
- RMB 36,000
- RMB 66,000 Correct answer.
- RMB 30,000
- RMB 72,000
Explanation
Using the flexible budget formula $Y = a + bX$:
$Y = 30,000 + (4.5 \times 8,000) = 30,000 + 36,000 = \text{RMB } 66,000$.
Question 32Financial appraisal, financing and conditional valuation models
An investor plans to deposit RMB 50,000 at the end of each year for 5 consecutive years into a trust account yielding an annual interest rate of 6% compounded annually. Given the Ordinary Annuity Future Value Factor $(F/A, 6\%, 5) = 5.6371$, what will be the accumulated total balance in the account at the end of Year 5?
- RMB 250,000
- RMB 281,855 Correct answer.
- RMB 210,618
- RMB 298,766
Explanation
Using the Ordinary Annuity Future Value formula: $FVA = A \times (F/A, i, n) = 50,000 \times 5.6371 = \text{RMB } 281,855$.
Question 33Financial appraisal, financing and conditional valuation models
What is the mathematical relationship between the Present Value of an Annuity Due (即付年金 / 预付年金现值, payments at the beginning of each period) and the Present Value of an Ordinary Annuity (普通年金现值, payments at the end of each period) for the same payment $A$, interest rate $i$, and periods $n$?
- $P_{\text{due}} = P_{\text{ordinary}} \times (1 + i)$ or $P_{\text{due}} = A \times [(P/A, i, n - 1) + 1]$ Correct answer.
- $P_{\text{due}} = P_{\text{ordinary}} / (1 + i)$
- $P_{\text{due}} = P_{\text{ordinary}} \times (1 - i)$
- $P_{\text{due}} = A \times [(P/A, i, n + 1) - 1]$
Explanation
Because each cash flow in an Annuity Due occurs exactly one period earlier than in an Ordinary Annuity, its present value is discounted by one fewer period: $P_{\text{due}} = P_{\text{ordinary}} \times (1 + i)$. Alternatively, in terms of annuity factor tables: $P_{\text{due}} = A \times [(P/A, i, n - 1) + 1]$ (terms reduced by 1, factor coefficient increased by 1).
Question 34Financial appraisal, financing and conditional valuation models
A real estate lease contract requires annual rental payments of RMB 100,000 for 6 consecutive years, with the FIRST payment commencing at the end of Year 4 (deferred period $m = 3$ years, payment period $n = 6$ years). Assuming an annual discount rate of 8%, given $(P/A, 8\%, 6) = 4.6229$ and $(P/F, 8\%, 3) = 0.7938$, what is the Present Value of this Deferred Annuity (递延年金现值) today (at Year 0)?
- RMB 462,290
- RMB 366,966 Correct answer.
- RMB 339,783
- RMB 293,573
Explanation
For a Deferred Annuity with deferral period $m = 3$ and payment periods $n = 6$: First find the value of the 6-year ordinary annuity at the end of the deferral period (Year 3): $PV_3 = A \times (P/A, i, n) = 100,000 \times 4.6229 = \text{RMB } 462,290$. Then discount this lump sum back to Year 0: $PV_0 = PV_3 \times (P/F, i, m) = 462,290 \times 0.7938 = \text{RMB } 366,965.80 \approx \text{RMB } 366,966$.
Question 35Financial appraisal, financing and conditional valuation models
A commercial property generates a constant net annual rental income of RMB 600,000 paid at the end of each year in perpetuity. If the required rate of return (capitalization rate) is 7.5%, what is the capitalized Present Value of this Perpetuity (永续年金现值)?
- RMB 4,500,000
- RMB 6,000,000
- RMB 8,000,000 Correct answer.
- RMB 9,000,000
Explanation
Using the Perpetuity Present Value formula: $PV = \frac{A}{i} = \frac{600,000}{0.075} = \text{RMB } 8,000,000$. This formula forms the basis of the direct capitalization method in property valuation.
Question 36Financial appraisal, financing and conditional valuation models
A commercial bank offers a nominal annual loan interest rate of 12%, compounded quarterly ($m = 4$). What is the Effective Annual Rate (EAR / 实际利率) for the borrower?
- 12.00%
- 12.36%
- 12.55% Correct answer.
- 12.68%
Explanation
Using the Effective Annual Rate (EAR) formula: $EAR = \left(1 + \frac{r}{m}\right)^m - 1 = \left(1 + \frac{12\%}{4}\right)^4 - 1 = (1 + 0.03)^4 - 1 = 1.1255088 - 1 \approx 12.55\%$.
Question 37Financial appraisal, financing and conditional valuation models
When comparing the relative risk of two mutually exclusive investment projects with DIFFERENT expected returns, which statistical metric is the MOST appropriate measure of risk?
- Variance (方差)
- Standard Deviation (标准差)
- Coefficient of Variation (标准离差率 / 变异系数) Correct answer.
- Expected Return (期望收益率)
Explanation
Standard deviation measures absolute dispersion/risk. When two projects have different expected returns (different mean values), standard deviation is not directly comparable. The Coefficient of Variation ($CV = \sigma / \mu$), which measures risk per unit of expected return (relative risk), is the most appropriate indicator for comparing projects with different expected returns.
Question 38Financial appraisal, financing and conditional valuation models
In modern portfolio theory, which type of risk can be eliminated or significantly reduced through asset diversification in a well-diversified investment portfolio?
- Systematic Risk / Market Risk (系统性风险 / 市场风险)
- Unsystematic Risk / Firm-Specific Risk (非系统性风险 / 企业特有风险) Correct answer.
- Macroeconomic Interest Rate Risk
- Inflation Purchasing Power Risk
Explanation
Unsystematic Risk (also known as Firm-Specific Risk, Idiosyncratic Risk, or Diversifiable Risk / 非系统性风险) arises from individual company factors (e.g. litigation, management failure, strike, R&D flop) and can be virtually eliminated through holding a broadly diversified portfolio. Systematic Risk (Market Risk) affects all firms across the economy (e.g. interest rate shifts, GDP recession, war) and CANNOT be diversified away.
Question 39Financial appraisal, financing and conditional valuation models
Under the Capital Asset Pricing Model (CAPM), if Stock A has a Beta coefficient of $\beta_A = 1.5$, what does this indicate regarding the stock's systematic risk relative to the overall market portfolio?
- Stock A has 50% less systematic risk than the overall market portfolio
- Stock A has 50% more systematic risk than the overall market portfolio (its price fluctuates 1.5 times as much as the market) Correct answer.
- Stock A is completely free of systematic risk and bears only idiosyncratic risk
- Stock A has an inverse (negative) price correlation with the overall market portfolio
Explanation
The Beta coefficient ($\beta$) measures the sensitivity of an individual asset's returns to movements in the overall market portfolio (systematic risk). The market portfolio itself has $\beta = 1.0$. A stock with $\beta = 1.5$ is 50% more volatile than the market, indicating higher systematic risk and requiring a higher expected return premium.
Question 40Financial appraisal, financing and conditional valuation models
According to the Capital Asset Pricing Model (CAPM), the risk-free rate of return is $R_f = 3.5\%$, the expected return on the market portfolio is $R_m = 9.5\%$, and Firm Z's stock has a beta coefficient of $\beta_Z = 1.2$. What is the required rate of return on Firm Z's equity ($K_e$)?
- 10.7% Correct answer.
- 11.4%
- 14.9%
- 7.2%
Explanation
Using the CAPM Security Market Line (SML) equation: $E(R_i) = R_f + \beta_i \times (R_m - R_f) = 3.5\% + 1.2 \times (9.5\% - 3.5\%) = 3.5\% + 1.2 \times 6.0\% = 3.5\% + 7.2\% = 10.7\%$.
Question 41Financial appraisal, financing and conditional valuation models
Company E had sales revenue of RMB 100,000,000 in 2024. In 2025, sales are forecasted to increase by 20% to RMB 120,000,000. Sensitive operating assets represent 60% of sales, and sensitive operating liabilities represent 15% of sales. The forecasted sales net profit margin is 10%, and the dividend payout ratio is 40% (retention ratio 60%). Using the Sales Percentage Method (销售百分比法), what is Company E's External Financing Needs (EFN / 外部融资需求量) for 2025?
- RMB 9,000,000
- RMB 1,800,000 Correct answer.
- RMB 4,200,000
- RMB 7,200,000
Explanation
Under the Sales Percentage Method: External Financing Needs (EFN) = $\Delta S \times (\text{Sensitive Assets}\% - \text{Sensitive Liab}\%) - S_1 \times P \times (1 - d)$. Here: Increase in sales $\Delta S = 120,000,000 - 100,000,000 = \text{RMB } 20,000,000$. Forecasted 2025 sales $S_1 = \text{RMB } 120,000,000$. Gross funding requirement = $20,000,000 \times (60\% - 15\%) = 20,000,000 \times 45\% = \text{RMB } 9,000,000$. Internal retained earnings generated = $120,000,000 \times 10\% \times (1 - 40\%) = 12,000,000 \times 60\% = \text{RMB } 7,200,000$. External Financing Needs (EFN) = $9,000,000 - 7,200,000 = \text{RMB } 1,800,000$.
Question 42Financial appraisal, financing and conditional valuation models
Company G's current stock price is $P_0 = \text{RMB } 20$ per share. It expects to pay a cash dividend of $D_1 = \text{RMB } 1.00$ per share next year, and dividends are projected to grow at a constant sustainable rate of $g = 5\%$ indefinitely. Issuance underwriting expenses are 4% of the share price. Using the Gordon Dividend Growth Model, what is the Cost of New Common Equity ($K_e$)?
- 10.00%
- 10.21% Correct answer.
- 9.80%
- 5.21%
Explanation
Using the Dividend Growth Model for new equity: $K_e = \frac{D_1}{P_0 \times (1 - f)} + g = \frac{1.00}{20 \times (1 - 0.04)} + 5\% = \frac{1.00}{19.20} + 5\% = 5.2083\% + 5\% = 10.2083\% \approx 10.21\%$.
Question 43Financial appraisal, financing and conditional valuation models
A manufacturing company sells 50,000 units of Product A at RMB 100 per unit. Unit variable cost is RMB 60, and annual fixed operating costs are RMB 1,000,000. What is the company's Degree of Operating Leverage (DOL / 经营杠杆系数) at this sales volume?
- 1.50
- 2.00 Correct answer.
- 2.50
- 1.25
Explanation
Unit contribution margin = $100 - 60 = \text{RMB } 40$. Total Contribution Margin ($M$) = $50,000 \times 40 = \text{RMB } 2,000,000$. Earnings Before Interest and Taxes ($EBIT$) = $M - F = 2,000,000 - 1,000,000 = \text{RMB } 1,000,000$. Degree of Operating Leverage ($DOL$) = $\frac{M}{EBIT} = \frac{2,000,000}{1,000,000} = 2.00$.
Question 44Financial appraisal, financing and conditional valuation models
If a firm has a Degree of Operating Leverage of $DOL = 2.5$ and a Degree of Financial Leverage of $DFL = 1.6$, what is its Degree of Total Leverage (DTL / 复合杠杆系数), and what will be the percentage increase in Earnings Per Share (EPS) if sales volume increases by 10%?
- $DTL = 4.1$; EPS increases by 41%
- $DTL = 4.0$; EPS increases by 40% Correct answer.
- $DTL = 4.0$; EPS increases by 10%
- $DTL = 0.9$; EPS increases by 9%
Explanation
Degree of Total Leverage ($DTL$) = $DOL \times DFL = 2.5 \times 1.6 = 4.0$. Total leverage measures the sensitivity of EPS to changes in sales volume: $\frac{\Delta EPS}{EPS} = DTL \times \frac{\Delta Sales}{Sales} = 4.0 \times 10\% = 40\%$.
Question 45Financial appraisal, financing and conditional valuation models
Under the Modigliani-Miller (MM) Theorem WITH Corporate Taxes (Proposition I with taxes), how does the value of a levered firm ($V_L$) relate to the value of an identical unlevered firm ($V_U$)?
- $V_L = V_U$
- $V_L = V_U + T_c \times D$ (where $T_c$ is the corporate tax rate and $D$ is the market value of debt) Correct answer.
- $V_L = V_U - T_c \times D$
- $V_L = V_U / (1 - T_c)$
Explanation
In MM Proposition I with Corporate Taxes, interest payments on debt are tax-deductible, creating an interest tax shield. The present value of the perpetual interest tax shield equals $T_c \times D$. Therefore, the value of the levered firm equals the value of the unlevered firm plus the present value of the tax shield: $V_L = V_U + T_c \times D$.
Question 46Financial appraisal, financing and conditional valuation models
According to the Pecking Order Theory (优序融资理论) formulated by Myers and Majluf based on asymmetric information, in what sequence will a company prefer to finance new capital investments?
- New Common Equity -> Bank Debt -> Internal Retained Earnings
- Internal Retained Earnings -> Debt Financing (Bank Loans/Bonds) -> External Equity (New Shares) Correct answer.
- Convertible Bonds -> External Equity -> Bank Debt -> Internal Cash
- External Equity -> Debt Financing -> Government Grants
Explanation
Pecking Order Theory posits that due to information asymmetry between corporate managers and external investors, issuing new equity signals that shares may be overvalued, depressing stock price. Consequently, management prefers financing sources with the least information asymmetry: first Internal Retained Earnings (no issuance cost or signaling penalty), second Debt Financing (low asymmetry risk), and only as a last resort External Equity.
Question 47Financial appraisal, financing and conditional valuation models
When evaluating an independent capital investment project using the Net Present Value (NPV / 净现值) method, which decision rule is correct?
- Accept the project if $NPV > 0$, because it indicates the project's return exceeds the required capital cost and will increase shareholder wealth Correct answer.
- Accept the project if $NPV < 0$, because it indicates low initial capital requirements
- Accept the project only if $NPV > \text{Initial Investment Outlay}$
- Accept the project only if $NPV = 0$, representing perfect market equilibrium
Explanation
Under the Net Present Value (NPV) decision rule: If $NPV > 0$, the present value of future cash inflows exceeds the present value of cash outflows discounted at the cost of capital. Accepting the project earns a return in excess of the hurdle rate and increases shareholder wealth / enterprise value. If $NPV = 0$, the project exactly earns the cost of capital. If $NPV < 0$, the project destroys value and should be rejected.
Question 48Financial appraisal, financing and conditional valuation models
A project requires an initial investment of RMB 100,000 and generates net cash inflows of RMB 40,000 at the end of each year for 3 consecutive years. Given $(P/A, 9\%, 3) = 2.5313$ and $(P/A, 10\%, 3) = 2.4869$. What is the project's Internal Rate of Return (IRR / 内含报酬率) calculated via linear interpolation?
- 9.23%
- 9.71% Correct answer.
- 10.45%
- 8.80%
Explanation
At IRR: $PV(\text{Inflows}) - \text{Initial Outlay} = 0 \implies 40,000 \times (P/A, IRR, 3) = 100,000 \implies (P/A, IRR, 3) = 2.5000$. Setting up linear interpolation between 9% (factor 2.5313) and 10% (factor 2.4869): $\frac{IRR - 9\%}{10\% - 9\%} = \frac{2.5000 - 2.5313}{2.4869 - 2.5313} = \frac{-0.0313}{-0.0444} = 0.70495$. Therefore, $IRR = 9\% + 0.70495 \times 1\% = 9.705\% \approx 9.71\%$.
Question 49Financial appraisal, financing and conditional valuation models
A capital investment project requires an initial outlay of RMB 500,000. The present value of its future net cash inflows discounted at the firm's cost of capital is RMB 650,000. What is the Profitability Index (PI / 现值指数) of this project, and how should it be evaluated?
- $PI = 1.30$; Acceptable because $PI > 1.0$ Correct answer.
- $PI = 0.77$; Reject because $PI < 1.0$
- $PI = 0.30$; Acceptable because $PI > 0$
- $PI = 1.15$; Indifferent
Explanation
Profitability Index ($PI$) = $\frac{PV(\text{Future Cash Inflows})}{PV(\text{Initial Cash Outlay})} = \frac{650,000}{500,000} = 1.30$. Because $PI = 1.30 > 1.0$, the project is financially viable and acceptable. (Note: $PI > 1.0$ is mathematically equivalent to $NPV > 0$).
Question 50Financial appraisal, financing and conditional valuation models
Which of the following is a recognized primary LIMITATION of the conventional Static Payback Period (静态投资回收期) method in capital budgeting?
- It is overly complicated to compute and requires advanced iterative calculus algorithms
- It completely ignores the Time Value of Money and ignores all cash flows occurring after the payback cutoff point Correct answer.
- It cannot be applied to projects with uneven annual cash flows
- It always produces conclusions identical to the Internal Rate of Return method
Explanation
The conventional Static Payback Period method has two fundamental theoretical flaws: (1) It treats cash flows received in Year 1 equally with cash flows received in Year 5, completely ignoring the Time Value of Money; and (2) It ignores all cash flows generated AFTER the payback period, potentially biasing against highly profitable, long-horizon projects.