I85PREP
⌘ K
CICPA Financial Cost Management (China) - independent subject foundations study materials
CICPA Financial Cost Management (China) - independent subject foundations study resources

CICPA Financial Cost Management (China) - independent subject foundations practice questions

One question at a time. Build your CICPA Financial Cost Management (China) - independent subject foundations understanding.

First 50 of 190 questions. Each one lists the choices, the correct answer, and an explanation. The checker at the top of this page saves progress in this browser when it is available.

Continue in the practice tool above to load more questions, 50 at a time.

Question 1Management costing, budgets and relevant decisions

A project generates annual Sales Revenue of ¥4,000,000, incurs Cash Operating Costs of ¥2,200,000, and has annual non-cash Depreciation of ¥600,000. The corporate income tax rate is 25%. What is the project's Annual Operating Cash Flow (OCF / 营业现金毛流量)?

  1. ¥1,500,000 Correct answer.
  2. ¥1,200,000
  3. ¥900,000
  4. ¥1,800,000

Explanation

Annual Operating Cash Flow (OCF) can be verified using three standard formulas: 1. Direct / Sales Method: $\text{Pre-tax Operating Profit (EBIT)} = \text{Sales} - \text{Cash Costs} - \text{Depreciation} = 4,000,000 - 2,200,000 - 600,000 = ¥1,200,000$. $\text{Income Taxes} = \text{EBIT} \times T = 1,200,000 \times 0.25 = ¥300,000$. $\text{OCF} = \text{Sales} - \text{Cash Costs} - \text{Income Taxes} = 4,000,000 - 2,200,000 - 300,000 = ¥1,500,000$. 2. Indirect / Net Income Method: $\text{Net Income} = \text{EBIT} \times (1 - T) = 1,200,000 \times 0.75 = ¥900,000$. $\text{OCF} = \text{Net Income} + \text{Depreciation} = 900,000 + 600,000 = ¥1,500,000$. 3. Tax Shield Method: $\text{OCF} = (\text{Sales} - \text{Cash Costs}) \times (1 - T) + \text{Depreciation} \times T = (4,000,000 - 2,200,000) \times 0.75 + 600,000 \times 0.25 = 1,800,000 \times 0.75 + 150,000 = 1,350,000 + 150,000 = ¥1,500,000$. All formulations consistently yield ¥1,500,000.

Question 2Management costing, budgets and relevant decisions

A project terminates at the end of Year 5. In Year 5, Operating Cash Flow is ¥800,000. The project's fixed equipment has an estimated market disposal value of ¥120,000, while its tax book value (undepreciated basis) at the end of Year 5 is ¥180,000. Net working capital of ¥250,000 committed at project inception is fully recovered at the end of Year 5. The corporate income tax rate is 25%. What is the Total Net Cash Inflow for Year 5 ($CF_5$)?

  1. ¥1,185,000 Correct answer.
  2. ¥1,170,000
  3. ¥1,155,000
  4. ¥935,000

Explanation

Year 5 Cash Inflow consists of: 1. Operating Cash Flow = ¥800,000. 2. Terminal Recovery of Net Working Capital = ¥250,000 (tax-free capital return). 3. Net Salvage Cash Flow from Fixed Asset Disposal: - Market salvage value = ¥120,000 - Tax Book Value = ¥180,000 - Loss on disposal = ¥180,000 - ¥120,000 = ¥60,000 - Tax savings (tax shield) from disposal loss = ¥60,000 × 25% = ¥15,000 (cash inflow) - Net disposal cash inflow = Market Value + Tax Savings = ¥120,000 + ¥15,000 = ¥135,000. 4. Total Year 5 Cash Inflow: $CF_5 = 800,000 + 250,000 + 135,000 = ¥1,185,000$.

Question 3Management costing, budgets and relevant decisions

A capital project requires an initial investment of ¥1,000,000 at $t=0$ and generates equal annual cash inflows of ¥300,000 at the end of each year for 5 years. The company's WACC is 10.0%. Given the annuity present value factor $(P/A, 10\%, 5) = 3.7908$. What are the project's Net Present Value (NPV) and Profitability Index (PI)?

  1. NPV = ¥137,240; PI = 1.1372 Correct answer.
  2. NPV = ¥500,000; PI = 1.5000
  3. NPV = ¥137,240; PI = 0.1372
  4. NPV = -¥62,760; PI = 0.9372

Explanation

1. Present Value of Future Cash Inflows: $PV(\text{Inflows}) = A \times (P/A, 10\%, 5) = ¥300,000 \times 3.7908 = ¥1,137,240$. 2. Net Present Value (NPV): $NPV = PV(\text{Inflows}) - \text{Initial Outlay} = ¥1,137,240 - ¥1,000,000 = ¥137,240$. 3. Profitability Index (PI / 现值指数): $PI = \frac{PV(\text{Inflows})}{\text{Initial Outlay}} = \frac{1,137,240}{1,000,000} = 1.13724 \approx 1.1372$. Because $NPV > 0$ and $PI > 1.0$, the project is financially acceptable.

Question 4Management costing, budgets and relevant decisions

A proposed investment project has an initial cash outlay of ¥400,000 and yields cash inflows of ¥160,000, ¥180,000, and ¥200,000 at the ends of Years 1, 2, and 3, respectively. At a discount rate of 16.0%, the project's NPV is +¥12,500; at a discount rate of 20.0%, the project's NPV is -¥17,500. Using linear interpolation, what is the project's Internal Rate of Return (IRR)?

  1. 17.67% Correct answer.
  2. 18.00%
  3. 18.33%
  4. 16.71%

Explanation

Using the linear interpolation formula for IRR: $\text{IRR} = r_1 + \frac{\text{NPV}_1}{\text{NPV}_1 - \text{NPV}_2} \times (r_2 - r_1)$ Where: - $r_1 = 16.0\%, \text{NPV}_1 = +¥12,500$ - $r_2 = 20.0\%, \text{NPV}_2 = -¥17,500$ $\text{IRR} = 16.0\% + \frac{12,500}{12,500 - (-17,500)} \times (20.0\% - 16.0\%)$ $\text{IRR} = 16.0\% + \frac{12,500}{30,000} \times 4.0\% = 16.0\% + 0.416667 \times 4.0\% = 16.0\% + 1.6667\% \approx 17.67\%$.

Question 5Management costing, budgets and relevant decisions

A project requires an initial investment of ¥1,000,000 at $t=0$ and generates cash inflows of ¥400,000 at Year 1, ¥500,000 at Year 2, and ¥600,000 at Year 3. The company's cost of capital and reinvestment rate is 10.0%. What is the project's Modified Internal Rate of Return (MIRR / 修正内含报酬率)?

  1. 17.78% Correct answer.
  2. 21.50%
  3. 15.00%
  4. 24.80%

Explanation

Under the terminal value / reinvestment approach for MIRR: 1. Compound all intermediate cash inflows to the terminal Year 3 at the cost of capital (r = 10.0%): - TV_3 = 400,000 * (1 + 0.10)^2 + 500,000 * (1 + 0.10)^1 + 600,000 - TV_3 = 400,000 * 1.21 + 500,000 * 1.10 + 600,000 = 484,000 + 550,000 + 600,000 = ¥1,634,000. 2. Solve for MIRR that equates initial outlay to terminal value: PV of Outlays * (1 + MIRR)^3 = TV_3 1,000,000 * (1 + MIRR)^3 = 1,634,000 (1 + MIRR)^3 = 1.634 1 + MIRR = (1.634)^(1/3) approx 1.17778 MIRR = 17.78%.

Question 6Management costing, budgets and relevant decisions

A company is selecting between two mutually exclusive projects with unequal economic lives. Project A has a life of 3 years and an NPV of ¥180,000. Project B has a life of 5 years and an NPV of ¥250,000. The cost of capital for both projects is 10.0%. Given discount factors: $(P/A, 10\%, 3) = 2.4869$ and $(P/A, 10\%, 5) = 3.7908$. Using the Equivalent Annual Annuity (EAA / 等额年金法), which project should the company choose and what are their respective EAAs?

  1. Choose Project A (EAA_A = ¥72,379 > EAA_B = ¥65,949) Correct answer.
  2. Choose Project B (EAA_B = ¥75,000 > EAA_A = ¥60,000)
  3. Choose Project B because its total NPV (¥250,000) exceeds Project A's NPV (¥180,000)
  4. Choose Project A because its payback period is shorter regardless of EAA

Explanation

When comparing mutually exclusive projects with unequal lives, total NPV cannot be compared directly without assuming replacement: 1. $\text{EAA}_A = \frac{\text{NPV}_A}{(P/A, 10\%, 3)} = \frac{¥180,000}{2.4869} = ¥72,379.27 \approx ¥72,379$. 2. $\text{EAA}_B = \frac{\text{NPV}_B}{(P/A, 10\%, 5)} = \frac{¥250,000}{3.7908} = ¥65,949.14 \approx ¥65,949$. Because $\text{EAA}_A (¥72,379) > \text{EAA}_B (¥65,949)$, Project A creates more economic value per year of operation and is the superior project under continual replacement.

Question 7Management costing, budgets and relevant decisions

A project requires an initial investment of ¥600,000 and generates net cash inflows of ¥200,000 in Year 1, ¥250,000 in Year 2, and ¥300,000 in Year 3. The discount rate is 10.0%. The present value factors are: $(P/F, 10\%, 1) = 0.9091$, $(P/F, 10\%, 2) = 0.8264$, $(P/F, 10\%, 3) = 0.7513$. What are the project's Static (Undiscounted) Payback Period and Dynamic (Discounted) Payback Period, respectively?

  1. Static Payback = 2.50 years; Discounted Payback = 2.94 years Correct answer.
  2. Static Payback = 2.50 years; Discounted Payback = 2.50 years
  3. Static Payback = 2.00 years; Discounted Payback = 3.00 years
  4. Static Payback = 2.33 years; Discounted Payback = 2.75 years

Explanation

1. Static Payback Period: - Year 1: Cumulative cash inflow = ¥200,000 - Year 2: Cumulative cash inflow = ¥200,000 + ¥250,000 = ¥450,000 - Unrecovered balance at end of Year 2 = ¥600,000 - ¥450,000 = ¥150,000 - Static Payback = $2 + \frac{150,000}{300,000} = 2.50$ years. 2. Discounted Payback Period: - PV(Year 1) = $200,000 \times 0.9091 = ¥181,820$; Cumulative PV = ¥181,820 - PV(Year 2) = $250,000 \times 0.8264 = ¥206,600$; Cumulative PV = $181,820 + 206,600 = ¥388,420$ - PV(Year 3) = $300,000 \times 0.7513 = ¥225,390$; Cumulative PV = $388,420 + 225,390 = ¥613,810$ - Unrecovered PV at end of Year 2 = $¥600,000 - ¥388,420 = ¥211,580$ - Discounted Payback = $2 + \frac{211,580}{225,390} = 2 + 0.9387 = 2.9387 \approx 2.94$ years.

Question 8Management costing, budgets and relevant decisions

Which basic product costing method is strictly applicable to large-scale, continuous, multi-step mass production (大量大批多步骤生产) where management requires tracking the cost of semi-finished goods produced in each intermediate manufacturing step (如冶金、纺织企业)?

  1. Step-by-Step Process Costing (分步法) Correct answer.
  2. Job-Order Costing (分批法)
  3. Simple / Single-Step Costing (品种法)
  4. Classification Costing (分类法)

Explanation

In product costing systems: 1. Step-by-Step Process Costing (分步法): Applied to mass, multi-step production where management requires costing for each intermediate production step and semi-finished good (e.g. steel metallurgy, textiles, machinery manufacturing). 2. Simple/Single-Step Costing (品种法): Applied to mass single-step production or multi-step production where management does not need intermediate stage costing (e.g. power generation, coal mining). 3. Job-Order Costing (分批法): Applied to small-batch, customized, single-unit production (e.g. shipbuilding, heavy specialized machinery, customized printing).

Question 9Management costing, budgets and relevant decisions

In Parallel Step-by-Step Process Costing (平行结转分步法 / 不结转半成品成本分步法), what does the Broad In-Process Inventory (广义在产品) for Process Step 1 encompass at the end of an accounting period?

  1. WIP remaining physically inside Step 1, semi-finished goods of Step 1 in intermediate warehouses, and semi-finished goods of Step 1 being processed in downstream Steps 2, 3, etc. that are not yet finished products Correct answer.
  2. Only the physical unfinished units currently located on the floor of Step 1
  3. All completed final finished goods produced during the current calendar year
  4. Raw materials stored in the central purchasing warehouse prior to issue

Explanation

Under Parallel Step-by-Step Process Costing (平行结转分步法), costs of semi-finished goods are NOT sequentially transferred between steps. Instead, each step directly calculates its share of cost embedded in the final completed product versus its share remaining in 'Broad In-Process Inventory' (广义在产品). For Step 1, Broad WIP includes all units that have absorbed Step 1 costs but have NOT yet emerged as final finished goods-specifically: 1. Narrow WIP physically remaining inside Step 1; 2. Semi-finished goods produced by Step 1 stored in intermediate storage; 3. Units produced by Step 1 currently undergoing processing in Step 2, Step 3, etc.

Question 10Management costing, budgets and relevant decisions

What is the principal methodological advantage of Parallel Step-by-Step Process Costing over Sequential Step-by-Step Process Costing?

  1. It computes each step's cost contribution to final finished goods in parallel without requiring step-by-step cost transfers or complex cost restatement (成本还原) Correct answer.
  2. It provides comprehensive accounting cost records for semi-finished goods stored in intermediate warehouses
  3. It facilitates physical inventory management and custody responsibility across individual production shops
  4. It automatically eliminates direct labor variances without standard costing procedures

Explanation

The defining advantages and trade-offs of Parallel Process Costing (平行结转分步法) are: 1. Primary Advantage: Each manufacturing step directly and concurrently calculates the cost share attributable to final finished goods. It completely eliminates the sequential rolling transfer of semi-finished goods costs and obviates the complex, tedious task of Cost Restatement (成本还原). 2. Main Limitation: It does not generate cost records for intermediate semi-finished goods, which weakens physical tracking and shop-level cost control compared to Sequential Process Costing (逐步结转分步法).

Question 11Management costing, budgets and relevant decisions

A company manufactures a single product with a standard direct material consumption of 4.0 kg per unit at a standard price of ¥10.00/kg (Standard Direct Material Cost = ¥40.00/unit). In the current period, the company produced 1,500 units of finished goods, purchased and used 6,400 kg of direct materials at an actual price of ¥9.50/kg (Total actual material cost = ¥60,800). What are the Direct Materials Price Variance (价差) and Direct Materials Quantity Variance (量差)?

  1. Price Variance = -¥3,200 (Favorable); Quantity Variance = +¥4,000 (Unfavorable) Correct answer.
  2. Price Variance = +¥3,200 (Unfavorable); Quantity Variance = -¥4,000 (Favorable)
  3. Price Variance = -¥3,000 (Favorable); Quantity Variance = +¥4,000 (Unfavorable)
  4. Price Variance = -¥3,200 (Favorable); Quantity Variance = +¥3,800 (Unfavorable)

Explanation

Under standard cost variance analysis: 1. Direct Materials Price Variance (材料价格差异): $\text{Price Variance} = \text{Actual Quantity Used} \times (\text{Actual Price} - \text{Standard Price})$ $\text{Price Variance} = 6,400 \text{ kg} \times (¥9.50 - ¥10.00) = 6,400 \times (-¥0.50) = -¥3,200$ (Favorable / 节约差异). 2. Direct Materials Quantity Variance (材料用量差异): $\text{Standard Quantity for Actual Output} = 1,500 \text{ units} \times 4.0 \text{ kg/unit} = 6,000 \text{ kg}$. $\text{Quantity Variance} = (\text{Actual Quantity} - \text{Standard Quantity Allowed}) \times \text{Standard Price}$ $\text{Quantity Variance} = (6,400 \text{ kg} - 6,000 \text{ kg}) \times ¥10.00 = +400 \text{ kg} \times ¥10.00 = +¥4,000$ (Unfavorable / 超支差异). 3. Total Material Cost Variance = $-¥3,200 + ¥4,000 = +¥800$ (Net Unfavorable).

Question 12Management costing, budgets and relevant decisions

A company produces a standard component. The standard direct labor time is 2.5 hours per unit, and the standard direct labor wage rate is ¥20.00/hour. During the month, the factory produced 800 units, worked 2,100 actual direct labor hours, and incurred total direct labor payroll of ¥44,100 (actual wage rate = ¥21.00/hour). What are the Direct Labor Rate Variance (工资率差异) and Direct Labor Efficiency Variance (人工效率差异)?

  1. Labor Rate Variance = +¥2,100 (Unfavorable); Labor Efficiency Variance = +¥2,000 (Unfavorable) Correct answer.
  2. Labor Rate Variance = -¥2,100 (Favorable); Labor Efficiency Variance = +¥2,000 (Unfavorable)
  3. Labor Rate Variance = +¥2,100 (Unfavorable); Labor Efficiency Variance = +¥2,100 (Unfavorable)
  4. Labor Rate Variance = +¥2,000 (Unfavorable); Labor Efficiency Variance = +¥2,100 (Unfavorable)

Explanation

1. Direct Labor Rate Variance (直接人工工资率差异): $\text{Rate Variance} = \text{Actual Hours} \times (\text{Actual Wage Rate} - \text{Standard Wage Rate})$ $\text{Rate Variance} = 2,100 \text{ hrs} \times (¥21.00 - ¥20.00) = 2,100 \times (+¥1.00) = +¥2,100$ (Unfavorable / 超支). 2. Direct Labor Efficiency Variance (直接人工效率差异): $\text{Standard Hours Allowed for Actual Output} = 800 \text{ units} \times 2.5 \text{ hrs/unit} = 2,000 \text{ hours}$. $\text{Efficiency Variance} = (\text{Actual Hours} - \text{Standard Hours Allowed}) \times \text{Standard Wage Rate}$ $\text{Efficiency Variance} = (2,100 \text{ hrs} - 2,000 \text{ hrs}) \times ¥20.00 = +100 \text{ hrs} \times ¥20.00 = +¥2,000$ (Unfavorable / 超支). 3. Total Direct Labor Variance = $+¥2,100 + ¥2,000 = +¥4,100$ (Unfavorable).

Question 13Management costing, budgets and relevant decisions

A manufacturing plant sets a variable manufacturing overhead standard of 3.0 machine hours per unit at a standard variable overhead rate of ¥12.00 per machine hour. In June, 1,000 units were produced. The actual machine hours worked were 3,200 hours, and total actual variable manufacturing overhead incurred was ¥36,800 (Actual rate = ¥11.50/hour). What are the Variable Overhead Spending Variance (耗费差异) and Variable Overhead Efficiency Variance (效率差异)?

  1. Spending Variance = -¥1,600 (Favorable); Efficiency Variance = +¥2,400 (Unfavorable) Correct answer.
  2. Spending Variance = +¥1,600 (Unfavorable); Efficiency Variance = -¥2,400 (Favorable)
  3. Spending Variance = -¥1,500 (Favorable); Efficiency Variance = +¥2,400 (Unfavorable)
  4. Spending Variance = -¥1,600 (Favorable); Efficiency Variance = +¥2,300 (Unfavorable)

Explanation

1. Variable Overhead Spending Variance (变动制造费用耗费差异): $\text{Spending Variance} = \text{Actual Machine Hours} \times (\text{Actual Rate} - \text{Standard Rate})$ $\text{Spending Variance} = 3,200 \text{ hrs} \times (¥11.50 - ¥12.00) = 3,200 \times (-¥0.50) = -¥1,600$ (Favorable / 节约). 2. Variable Overhead Efficiency Variance (变动制造费用效率差异): $\text{Standard Hours Allowed for Actual Output} = 1,000 \text{ units} \times 3.0 \text{ hrs/unit} = 3,000 \text{ hours}$. $\text{Efficiency Variance} = (\text{Actual Hours} - \text{Standard Hours Allowed}) \times \text{Standard Rate}$ $\text{Efficiency Variance} = (3,200 \text{ hrs} - 3,000 \text{ hrs}) \times ¥12.00 = +200 \text{ hrs} \times ¥12.00 = +¥2,400$ (Unfavorable / 超支). 3. Total Variable Overhead Variance = $-¥1,600 + ¥2,400 = +¥800$ (Unfavorable).

Question 14Management costing, budgets and relevant decisions

When a multiproduct enterprise replaces a traditional volume-based overhead allocation system (based solely on direct labor hours) with an Activity-Based Costing (ABC) system, what systematic Cost Distortion (成本扭曲 / 成本交叉补贴) is typically revealed?

  1. High-volume, standardized products were over-costed (over-subsidizing other products), whereas low-volume, customized complex products were under-costed Correct answer.
  2. High-volume products were under-costed, whereas low-volume complex products were over-costed
  3. All products were uniformly under-costed due to the omission of non-manufacturing administrative costs
  4. Direct material unit costs were distorted due to incorrect price variance allocations

Explanation

Under traditional volume-based costing, overhead is allocated proportionally to volume drivers (e.g. direct labor hours or machine hours). However, non-unit-level overhead (batch setups, engineering change orders, material handling, quality inspections) is driven by batch complexity rather than volume. As a result: 1. High-volume, simple standardized products consume few batch/order activities per unit but absorb an excessively large share of volume overhead, leading to Over-Costing (高估成本). 2. Low-volume, complex customized products consume a disproportionate share of batch and product-sustaining resources but absorb little volume overhead, leading to Under-Costing (低估成本). ABC corrects this cross-subsidization.

Question 15Management costing, budgets and relevant decisions

A company manufactures a single product with a selling price of $P = ¥150.00$ per unit, a unit variable cost of $V = ¥90.00$ per unit, and total annual fixed operating costs of $F = ¥360,000$. What is the Unit Contribution Margin ($UCM$), Contribution Margin Ratio ($CMR$), Break-Even Volume in Units ($BEP_{\text{units}}$), and Break-Even Sales Revenue ($BEP_{\text{revenue}}$)?

  1. UCM = ¥60.00; CMR = 40.0%; BEP_units = 6,000 units; BEP_revenue = ¥900,000 Correct answer.
  2. UCM = ¥90.00; CMR = 60.0%; BEP_units = 4,000 units; BEP_revenue = ¥600,000
  3. UCM = ¥60.00; CMR = 40.0%; BEP_units = 4,000 units; BEP_revenue = ¥600,000
  4. UCM = ¥60.00; CMR = 66.7%; BEP_units = 6,000 units; BEP_revenue = ¥900,000

Explanation

According to fundamental Cost-Volume-Profit (CVP / 本量利) analysis: 1. Unit Contribution Margin ($UCM$) = Selling Price - Unit Variable Cost = $¥150.00 - ¥90.00 = ¥60.00$ per unit. 2. Contribution Margin Ratio ($CMR$) = $\frac{UCM}{P} = \frac{¥60.00}{¥150.00} = 40.0\%$. 3. Break-Even Sales Volume in Units ($BEP_{\text{units}}$) = $\frac{\text{Fixed Costs}}{UCM} = \frac{¥360,000}{¥60.00} = 6,000$ units. 4. Break-Even Sales Revenue ($BEP_{\text{revenue}}$) = $\frac{\text{Fixed Costs}}{CMR} = \frac{¥360,000}{0.40} = ¥900,000$ (Equivalently: $6,000 \text{ units} \times ¥150.00 = ¥900,000$).

Question 16Management costing, budgets and relevant decisions

A corporation operates at a baseline with the following annual figures: Sales Revenue = ¥2,000,000 (Sales volume = 20,000 units, Unit price = ¥100.00), Total Variable Costs = ¥1,200,000 (Unit variable cost = ¥60.00), Total Fixed Operating Costs = ¥400,000, and Operating Profit (EBIT) = ¥400,000. Under CVP Sensitivity Analysis (本量利敏感性分析), what are the Sensitivity Coefficients of EBIT with respect to Unit Selling Price ($P$) and Unit Variable Cost ($V$)?

  1. Price Sensitivity = 5.0; Unit Variable Cost Sensitivity = -3.0 Correct answer.
  2. Price Sensitivity = 5.0; Unit Variable Cost Sensitivity = +3.0
  3. Price Sensitivity = 2.0; Unit Variable Cost Sensitivity = -1.5
  4. Price Sensitivity = 2.5; Unit Variable Cost Sensitivity = -2.0

Explanation

The sensitivity coefficient measures the percentage change in EBIT resulting from a 1% change in a given operational variable: $\text{Sensitivity Coefficient} = \frac{\%\Delta \text{EBIT}}{\%\Delta \text{Parameter}}$ 1. Sensitivity of EBIT to Unit Selling Price ($P$): When price changes by $\Delta P$, $\Delta \text{EBIT} = \Delta P \times Q$. $\frac{\Delta \text{EBIT} / \text{EBIT}}{\Delta P / P} = \frac{Q \times P}{\text{EBIT}} = \frac{\text{Base Sales Revenue}}{\text{Base EBIT}} = \frac{¥2,000,000}{¥400,000} = +5.0$. (A 1% increase in price increases EBIT by 5%). 2. Sensitivity of EBIT to Unit Variable Cost ($V$): When variable cost changes by $\Delta V$, $\Delta \text{EBIT} = -\Delta V \times Q$. $\frac{\Delta \text{EBIT} / \text{EBIT}}{\Delta V / V} = -\frac{Q \times V}{\text{EBIT}} = -\frac{\text{Base Total Variable Costs}}{\text{Base EBIT}} = -\frac{¥1,200,000}{¥400,000} = -3.0$. (A 1% increase in unit variable cost reduces EBIT by 3%).

Question 17Financial appraisal, financing and conditional valuation models

In the preparation of management-oriented financial statements (管理用财务报表), which of the following items is correctly classified as an Operating Asset (经营资产) rather than a Financial Asset (金融资产)?

  1. Trading financial assets held for short-term speculative gains (交易性金融资产)
  2. Cash and cash equivalents required to maintain daily routine business operations (生产经营所需的货币资金) Correct answer.
  3. Equity investments in entities over which the company has no control, joint control, or significant influence (其他权益工具投资)
  4. Derivative financial assets held for arbitrage trading purposes (衍生金融资产)

Explanation

Under the CICPA management-oriented financial statement framework (管理用财务报表体系), assets are bifurcated into Operating Assets (经营资产) and Financial Assets (金融资产). Operating assets are assets used in the production and sales of goods or provision of services. Cash and cash equivalents required to maintain the enterprise's routine operational liquidity are operating assets. In contrast, trading financial assets, passive financial equity investments (financial assets at fair value through OCI / 其他权益工具投资), and speculative/arbitrage derivative assets generate financial returns unrelated to core operations and are classified as financial assets.

Question 18Financial appraisal, financing and conditional valuation models

An enterprise's management balance sheet shows the following year-end balances: Operating Current Assets = ¥3,500,000; Operating Current Liabilities = ¥1,300,000; Operating Long-Term Assets = ¥5,000,000; Operating Long-Term Liabilities = ¥800,000; Financial Assets = ¥400,000; Financial Liabilities = ¥2,600,000. What are the company's Net Operating Assets (净经营资产) and Net Debt (净负债)?

  1. Net Operating Assets = ¥6,400,000; Net Debt = ¥2,200,000 Correct answer.
  2. Net Operating Assets = ¥7,200,000; Net Debt = ¥2,600,000
  3. Net Operating Assets = ¥6,400,000; Net Debt = ¥3,000,000
  4. Net Operating Assets = ¥8,500,000; Net Debt = ¥2,200,000

Explanation

Under the management balance sheet framework: 1. Net Operating Working Capital (NOWC) = Operating Current Assets - Operating Current Liabilities = ¥3,500,000 - ¥1,300,000 = ¥2,200,000. 2. Net Operating Long-Term Assets = Operating Long-Term Assets - Operating Long-Term Liabilities = ¥5,000,000 - ¥800,000 = ¥4,200,000. 3. Net Operating Assets (NOA) = NOWC + Net Operating Long-Term Assets = ¥2,200,000 + ¥4,200,000 = ¥6,400,000. (Alternatively, NOA = Total Operating Assets [¥8,500,000] - Total Operating Liabilities [¥2,100,000] = ¥6,400,000). 4. Net Debt = Financial Liabilities - Financial Assets = ¥2,600,000 - ¥400,000 = ¥2,200,000. By fundamental identity: Net Operating Assets (¥6,400,000) = Net Debt (¥2,200,000) + Net Operating Equity (¥4,200,000).

Question 19Financial appraisal, financing and conditional valuation models

A corporation reports Revenue of ¥20,000,000, Operating Costs of ¥12,000,000, Selling and Administrative Expenses of ¥3,000,000, and Interest Expense (financial expense) of ¥600,000. There are no financial incomes or asset impairment losses. The corporate income tax rate is 25%. During the year, Net Operating Assets increased by ¥1,150,000. What is the corporation's Net Operating Profit After Tax (NOPAT / 税后经营净利润) and Free Cash Flow to the Firm (FCFF / 实体现金流量)?

  1. NOPAT = ¥3,750,000; FCFF = ¥2,600,000 Correct answer.
  2. NOPAT = ¥3,300,000; FCFF = ¥2,150,000
  3. NOPAT = ¥3,750,000; FCFF = ¥4,900,000
  4. NOPAT = ¥4,400,000; FCFF = ¥3,250,000

Explanation

1. Pre-tax Operating Profit (EBIT) = Revenue - Operating Costs - Selling & Administrative Expenses = ¥20,000,000 - ¥12,000,000 - ¥3,000,000 = ¥5,000,000. 2. Net Operating Profit After Tax (NOPAT) = EBIT × (1 - Tax Rate) = ¥5,000,000 × (1 - 0.25) = ¥3,750,000. 3. Free Cash Flow to Firm (FCFF / 实体现金流量) = NOPAT - Net Operating Asset Increase = ¥3,750,000 - ¥1,150,000 = ¥2,600,000. (Note: Net Profit = (EBIT - Interest) × (1 - T) = (5,000,000 - 600,000) × 0.75 = ¥3,300,000. NOPAT = Net Profit + After-tax Interest = 3,300,000 + 600,000 × 0.75 = ¥3,750,000).

Question 20Financial appraisal, financing and conditional valuation models

Under the Management Extended DuPont Analysis System (管理用杜邦分析体系), a firm reports: Net Operating Asset Net Margin (净经营资产净利率) = 16.0%, After-tax Net Interest Rate (税后利息率) = 6.0%, and Net Financial Leverage (净财务杠杆 = Net Debt / Equity) = 1.25. What is the firm's Return on Net Assets / Return on Equity (ROE / 权益净利率)?

  1. 28.5% Correct answer.
  2. 26.0%
  3. 21.0%
  4. 18.5%

Explanation

According to the core equation of the Management Extended DuPont Analysis: ROE (权益净利率) = Net Operating Asset Net Margin + Leverage Contribution Rate (杠杆贡献率) Leverage Contribution Rate = (Net Operating Asset Net Margin - After-tax Net Interest Rate) × Net Financial Leverage Spread (经营差异率) = 16.0% - 6.0% = 10.0%. Leverage Contribution Rate = 10.0% × 1.25 = 12.5%. ROE = 16.0% + 12.5% = 28.5%. This demonstrates how positive financial leverage magnifies the return to equity shareholders as long as the return on net operating assets exceeds the after-tax cost of net debt.

Question 21Financial appraisal, financing and conditional valuation models

A manufacturing company had beginning shareholders' equity of ¥10,000,000. In the current year, it generated Sales Revenue of ¥25,000,000 and Net Profit of ¥2,000,000, and paid cash dividends of ¥600,000. The company issued no new equity and conducted no share repurchases. Assuming the company maintains its current financial policies and operating efficiency in the coming year, what is its Sustainable Growth Rate (可持续增长率) calculated on the basis of beginning equity?

  1. 14.0% Correct answer.
  2. 12.28%
  3. 20.0%
  4. 6.0%

Explanation

1. Current year Profit Retention Ratio = (Net Profit - Dividends) / Net Profit = (¥2,000,000 - ¥600,000) / ¥2,000,000 = ¥1,400,000 / ¥2,000,000 = 70%. 2. Retained Earnings added to equity = ¥1,400,000. 3. Using the Beginning Equity formulation for Sustainable Growth Rate (期初权益计算公式): Sustainable Growth Rate (SGR) = Current Year Retained Earnings / Beginning Equity = ¥1,400,000 / ¥10,000,000 = 14.0%. (Equivalently: SGR = Net Profit Margin [8%] × Asset Turnover × Beginning Equity Multiplier × Retention Ratio [70%] = 14.0%).

Question 22Financial appraisal, financing and conditional valuation models

A firm reports the following year-end financial ratios: Net Profit Margin = 8.0%, Total Asset Turnover = 1.50 times, Equity Multiplier (Total Assets / Equity) = 1.80, and Dividend Payout Ratio = 40.0%. If the firm issues no new equity, conducts no share repurchases, and keeps these four ratios constant, what is its Sustainable Growth Rate (SGR) calculated using the ending balance sheet formula?

  1. 15.00%
  2. 12.96%
  3. 14.89% Correct answer.
  4. 11.47%

Explanation

1. Profit Retention Ratio = 1 - Dividend Payout Ratio = 1 - 0.40 = 0.60 (60.0%). 2. Calculate the product term: $P \times A \times T \times R = \text{Net Profit Margin} \times \text{Asset Turnover} \times \text{Equity Multiplier} \times \text{Retention Ratio}$ $P \times A \times T \times R = 0.08 \times 1.50 \times 1.80 \times 0.60 = 0.1296$ (or 12.96%). 3. Using the ending-equity Sustainable Growth Rate formula: $\text{SGR} = \frac{P \times A \times T \times R}{1 - (P \times A \times T \times R)} = \frac{0.1296}{1 - 0.1296} = \frac{0.1296}{0.8704} \approx 0.148897 \approx 14.89\%$.

Question 23Financial appraisal, financing and conditional valuation models

A company had Sales Revenue of ¥100,000,000 in 2025. It projects that Sales Revenue will increase by 20% in 2026 to ¥120,000,000. Operating assets and operating liabilities vary in direct proportion to sales, with ratios to sales of 65% and 15%, respectively. The company expects a Net Profit Margin of 6.0% and will maintain a Dividend Retention Ratio of 60.0%. The company has no excess financial assets. What is the External Financing Needed (EFN / 外部融资需求) for 2026?

  1. ¥5,680,000 Correct answer.
  2. ¥10,000,000
  3. ¥4,320,000
  4. ¥7,120,000

Explanation

Under the Percent-of-Sales forecasting method: 1. Sales Increase $\Delta \text{Sales} = ¥120,000,000 - ¥100,000,000 = ¥20,000,000$. 2. Increase in Operating Assets = $\Delta \text{Sales} \times 65\% = ¥20,000,000 \times 0.65 = ¥13,000,000$. 3. Increase in Spontaneous Operating Liabilities = $\Delta \text{Sales} \times 15\% = ¥20,000,000 \times 0.15 = ¥3,000,000$. 4. Net Increase in Operating Capital Requirement = $¥13,000,000 - ¥3,000,000 = ¥10,000,000$ (or $\Delta \text{Sales} \times (65\% - 15\%) = ¥20,000,000 \times 0.50 = ¥10,000,000$). 5. Projected Net Profit for 2026 = Projected Sales $\times$ Net Profit Margin = $¥120,000,000 \times 6.0\% = ¥7,200,000$. 6. Projected Addition to Retained Earnings = Projected Net Profit $\times$ Retention Ratio = $¥7,200,000 \times 60.0\% = ¥4,320,000$. 7. External Financing Needed (EFN) = Net Asset Increase - Retained Earnings Increase = $¥10,000,000 - ¥4,320,000 = ¥5,680,000$.

Question 24Financial appraisal, financing and conditional valuation models

An enterprise determines that its Operating Assets/Sales ratio is 70% and its Spontaneous Operating Liabilities/Sales ratio is 20%. It maintains a constant Net Profit Margin of 8.0% and a Dividend Payout Ratio of 50.0% (Retention Ratio = 50.0%). The enterprise issues no new equity and has no available financial assets. What is the enterprise's Internal Growth Rate (IGR / 内含增长率)?

  1. 8.70% Correct answer.
  2. 8.00%
  3. 6.40%
  4. 5.00%

Explanation

The Internal Growth Rate (IGR) is the maximum sales growth rate achievable when External Financing Needed (EFN) is exactly zero ($EFN = 0$). Let $g$ be the internal growth rate: $EFN = g \times (\text{Operating Assets}\% - \text{Operating Liabilities}\%) - (1 + g) \times \text{Net Profit Margin} \times \text{Retention Ratio} = 0$ $g \times (0.70 - 0.20) - (1 + g) \times 0.08 \times 0.50 = 0$ $0.50g - 0.04(1 + g) = 0$ $0.50g - 0.04 - 0.04g = 0$ $0.46g = 0.04$ $g = \frac{0.04}{0.46} = \frac{4}{46} \approx 0.086956 \approx 8.70\%$. Thus, when sales grow at 8.70%, internal retained earnings exactly match the required net operating asset expansion without any external debt or equity financing.

Question 25Financial appraisal, financing and conditional valuation models

In 2025, a company generated Free Cash Flow to the Firm (FCFF / 实体现金流量) of ¥5,000,000. During the year, the company paid Net Interest Expense after tax of ¥800,000. It also repaid bank borrowings of ¥1,500,000 and obtained new bank loans of ¥2,500,000. There were no preferred stock dividends. What is the Free Cash Flow to Equity (FCFE / 股权现金流量) for 2025?

  1. ¥5,200,000 Correct answer.
  2. ¥4,200,000
  3. ¥3,200,000
  4. ¥6,800,000

Explanation

Under the CICPA management cash flow framework: 1. Cash Flow to Debt (债务现金流量) = After-tax Net Interest Expense - Net Debt Increase (Net Debt Financing) Net Debt Increase = New Debt Issued - Debt Principal Repaid = ¥2,500,000 - ¥1,500,000 = ¥1,000,000. Cash Flow to Debt = ¥800,000 - ¥1,000,000 = -¥200,000 (net cash inflow from creditors to firm). 2. Free Cash Flow to Equity (FCFE) = Free Cash Flow to Firm (FCFF) - Cash Flow to Debt FCFE = ¥5,000,000 - (-¥200,000) = ¥5,000,000 + ¥200,000 = ¥5,200,000. (Alternatively: FCFE = FCFF - After-tax Interest + Net Debt Issued - Debt Repaid = 5,000,000 - 800,000 + 1,000,000 = ¥5,200,000).

Question 26Financial appraisal, financing and conditional valuation models

According to corporate financial theory in the CICPA syllabus, if a firm's actual sales growth rate exceeds its sustainable growth rate in a given year, and the firm issues no new equity and does not change its dividend payout ratio or capital structure (debt-to-equity ratio), which of the following operational changes MUST occur?

  1. Total Asset Turnover or Net Profit Margin must increase Correct answer.
  2. Total Asset Turnover and Equity Multiplier must both decrease
  3. Operating liabilities must decrease relative to operating assets
  4. Cash conversion cycle must lengthen and cost of debt must increase

Explanation

Sustainable Growth Rate (SGR) is determined by four drivers: Net Profit Margin, Total Asset Turnover, Equity Multiplier, and Profit Retention Ratio. If actual sales growth exceeds SGR while equity financing is prohibited, the dividend payout ratio is held constant (retention ratio constant), and the capital structure (equity multiplier) is unchanged, the additional growth must be supported by improved operating efficiency-namely an increase in Net Profit Margin (profitability) or an increase in Total Asset Turnover (asset efficiency/productivity), or both.

Question 27Financial appraisal, financing and conditional valuation models

A commercial bank offers a corporate loan with an Annual Percentage Rate (APR / 名义年利率) of 12.0%, compounded monthly. What is the Effective Annual Rate (EAR / 有效年利率) of this loan?

  1. 12.68% Correct answer.
  2. 12.00%
  3. 12.55%
  4. 13.04%

Explanation

The formula relating the Effective Annual Rate (EAR) to the nominal annual rate ($r$) and compounding frequency ($m$) is: $\text{EAR} = \left(1 + \frac{r}{m}\right)^m - 1$ Given nominal annual rate $r = 12.0\%$ and compounding frequency $m = 12$ (monthly compounding): Period rate $i = \frac{12.0\%}{12} = 1.0\% = 0.01$. $\text{EAR} = (1 + 0.01)^{12} - 1 = (1.01)^{12} - 1 \approx 1.126825 - 1 = 12.6825\% \approx 12.68\%$. Due to intra-year compounding, the effective annual borrowing cost exceeds the nominal rate by approximately 68 basis points.

Question 28Financial appraisal, financing and conditional valuation models

An infrastructure project guarantees an annual cash inflow of ¥200,000 at the end of each year for 6 consecutive years, with the first payment received at the end of Year 4 (a 3-year deferral period, $m = 3, n = 6$). The relevant discount rate is 8.0%. Given discount factors $(P/A, 8\%, 6) = 4.6229$ and $(P/F, 8\%, 3) = 0.7938$, what is the Present Value (现值) of this deferred annuity today?

  1. ¥733,857 Correct answer.
  2. ¥924,580
  3. ¥679,500
  4. ¥582,340

Explanation

A deferred annuity can be valued using the standard two-step discounting formula: $PV = A \times (P/A, i, n) \times (P/F, i, m)$ Where: - $A = ¥200,000$ (annual annuity payment) - $n = 6$ (number of annuity payment periods) - $m = 3$ (deferral period: first payment at $t=4$, so deferral is $4 - 1 = 3$ years) - $i = 8.0\%$ $PV = 200,000 \times (P/A, 8\%, 6) \times (P/F, 8\%, 3) = 200,000 \times 4.6229 \times 0.7938 = 200,000 \times 3.669288 = ¥733,857.60 \approx ¥733,857$. (Alternatively: $PV = 200,000 \times [(P/A, 8\%, 9) - (P/A, 8\%, 3)] = 200,000 \times [6.2469 - 2.5771] = 200,000 \times 3.6698 \approx ¥733,960$).

Question 29Financial appraisal, financing and conditional valuation models

An investment portfolio is constructed with two assets: Asset A constitutes 60% of the portfolio weight with an expected return of 14.0% and a standard deviation of 20.0%; Asset B constitutes 40% of the weight with an expected return of 8.0% and a standard deviation of 10.0%. The correlation coefficient between Asset A and Asset B is $\rho_{AB} = 0.50$. What are the Expected Return and Standard Deviation of this portfolio?

  1. Expected Return = 11.60%; Standard Deviation = 14.42% Correct answer.
  2. Expected Return = 11.60%; Standard Deviation = 16.00%
  3. Expected Return = 11.00%; Standard Deviation = 14.42%
  4. Expected Return = 12.00%; Standard Deviation = 15.00%

Explanation

1. Portfolio Expected Return $E(R_p) = w_A E(R_A) + w_B E(R_B) = 0.60(14.0\%) + 0.40(8.0\%) = 8.40\% + 3.20\% = 11.60\%$. 2. Portfolio Variance $\sigma_p^2 = w_A^2 \sigma_A^2 + w_B^2 \sigma_B^2 + 2 w_A w_B \sigma_A \sigma_B \rho_{AB}$ $\sigma_p^2 = (0.6)^2 (0.20)^2 + (0.4)^2 (0.10)^2 + 2(0.6)(0.4)(0.20)(0.10)(0.50)$ $\sigma_p^2 = (0.36)(0.04) + (0.16)(0.01) + 2(0.24)(0.02)(0.50)$ $\sigma_p^2 = 0.0144 + 0.0016 + 0.0048 = 0.0208$. 3. Portfolio Standard Deviation $\sigma_p = \sqrt{0.0208} \approx 0.144222 = 14.42\%$. Because $\rho_{AB} < 1$, the portfolio standard deviation (14.42%) is lower than the weighted average of individual standard deviations ($0.6 \times 20\% + 0.4 \times 10\% = 16.0\%$), proving the diversification benefit.

Question 30Financial appraisal, financing and conditional valuation models

An institutional fund manages ¥100,000,000 allocated among three stocks: ¥40,000,000 in Stock X (Beta = 1.50), ¥35,000,000 in Stock Y (Beta = 0.80), and ¥25,000,000 in Stock Z (Beta = 1.20). The risk-free rate is 3.5% and the expected return on the market portfolio is 11.5% (Market Risk Premium = 8.0%). Under the Capital Asset Pricing Model (CAPM), what is the portfolio's Beta and its Required Rate of Return?

  1. Portfolio Beta = 1.18; Required Return = 12.94% Correct answer.
  2. Portfolio Beta = 1.17; Required Return = 13.50%
  3. Portfolio Beta = 1.18; Required Return = 11.50%
  4. Portfolio Beta = 1.25; Required Return = 13.50%

Explanation

1. Portfolio Weights: $w_X = 40 / 100 = 0.40$, $w_Y = 35 / 100 = 0.35$, $w_Z = 25 / 100 = 0.25$. 2. Portfolio Beta $\beta_p = \sum w_i \beta_i = 0.40(1.50) + 0.35(0.80) + 0.25(1.20) = 0.60 + 0.28 + 0.30 = 1.18$. 3. Required Return under CAPM: $E(R_p) = R_f + \beta_p \times [E(R_m) - R_f] = 3.5\% + 1.18 \times (11.5\% - 3.5\%) = 3.5\% + 1.18 \times 8.0\% = 3.5\% + 9.44\% = 12.94\%$.

Question 31Financial appraisal, financing and conditional valuation models

Which of the following statements correctly distinguishes the Capital Market Line (CML / 资本市场线) from the Security Market Line (SML / 证券市场线) in modern portfolio theory?

  1. The horizontal axis of the CML measures total risk (standard deviation $\sigma$), whereas the horizontal axis of the SML measures systematic risk (Beta $\beta$) Correct answer.
  2. The CML applies to all individual assets and inefficient portfolios, whereas the SML applies only to efficient portfolios
  3. The slope of the CML is the market risk premium $(R_m - R_f)$, whereas the slope of the SML is the Sharpe ratio $(R_m - R_f)/\sigma_m$
  4. An increase in general investor risk aversion shifts the intercept of the SML upward while keeping its slope unchanged

Explanation

Under Capital Asset Pricing theory: 1. The Capital Market Line (CML) depicts the relationship between expected return and Total Risk (standard deviation $\sigma$) and applies ONLY to efficient portfolios formed by combining the risk-free asset with the market portfolio. Its slope is the Sharpe ratio: $[E(R_m) - R_f] / \sigma_m$. 2. The Security Market Line (SML) depicts the relationship between expected return and Systematic Risk (Beta $\beta$) and applies to ALL individual securities, inefficient portfolios, and efficient portfolios. Its slope is the Market Risk Premium: $[E(R_m) - R_f]$.

Question 32Financial appraisal, financing and conditional valuation models

In a well-functioning capital market, as an investor increases the number of randomly selected individual stocks in an equally-weighted portfolio from 5 to 500, what happens to the portfolio's Total Risk, Systematic Risk, and Unsystematic Risk?

  1. Unsystematic risk approaches zero, systematic risk remains at the average market level, and total risk decreases toward systematic risk Correct answer.
  2. Both systematic risk and unsystematic risk decrease toward zero
  3. Total risk remains unchanged, but the proportion of systematic risk decreases
  4. Systematic risk is completely eliminated while unsystematic risk remains constant

Explanation

Portfolio risk is composed of Systematic (market/undiversifiable) Risk and Unsystematic (firm-specific/diversifiable) Risk. As the number of randomly selected securities $n$ increases, individual firm-specific variances and unique independent shocks cancel each other out, driving Unsystematic Risk asymptotically to zero. However, Systematic Risk-measured by the average covariance among all securities in the market-cannot be diversified away. Consequently, Total Risk decreases and asymptotically approaches the market-weighted Systematic Risk level.

Question 33Financial appraisal, financing and conditional valuation models

Consider two risky assets, Asset 1 and Asset 2, with standard deviations $\sigma_1 = 15\%$ and $\sigma_2 = 25\%$, respectively. When the correlation coefficient between the two assets is perfectly negative ($\rho_{12} = -1.0$), what weight $w_1$ in Asset 1 will create a completely risk-free zero-variance portfolio ($\sigma_p = 0$)?

  1. 62.5% Correct answer.
  2. 50.0%
  3. 37.5%
  4. 75.0%

Explanation

When correlation coefficient $\rho = -1.0$, the portfolio standard deviation equation simplifies to: $\sigma_p = |w_1 \sigma_1 - w_2 \sigma_2| = |w_1 \sigma_1 - (1 - w_1) \sigma_2|$ To achieve a zero-variance risk-free portfolio ($\sigma_p = 0$): $w_1 \sigma_1 - (1 - w_1) \sigma_2 = 0$ $w_1 \sigma_1 + w_1 \sigma_2 = \sigma_2$ $w_1 (\sigma_1 + \sigma_2) = \sigma_2$ $w_1 = \frac{\sigma_2}{\sigma_1 + \sigma_2} = \frac{25\%}{15\% + 25\%} = \frac{25}{40} = 0.625 = 62.5\%$. Correspondingly, weight in Asset 2 is $w_2 = 1 - 0.625 = 37.5\%$. Verification: $\sigma_p = 0.625(15\%) - 0.375(25\%) = 9.375\% - 9.375\% = 0\%$.

Question 34Financial appraisal, financing and conditional valuation models

A corporation issues a 5-year coupon bond with a face value of ¥1,000 and an annual coupon rate of 8.0%, payable semi-annually (¥40 every 6 months). The current market required nominal annual yield is 6.0%. Given discount factors for 10 semi-annual periods at 3.0%: $(P/A, 3\%, 10) = 8.5302$ and $(P/F, 3\%, 10) = 0.7441$. What is the intrinsic value of the bond?

  1. ¥1,085.31 Correct answer.
  2. ¥1,000.00
  3. ¥924.69
  4. ¥1,120.00

Explanation

For a semi-annual coupon bond: 1. Semi-annual coupon payment $C = \frac{1,000 \times 8.0\%}{2} = ¥40$. 2. Semi-annual market discount rate $r = \frac{6.0\%}{2} = 3.0\%$. 3. Number of compounding periods $n = 5 \times 2 = 10$ semi-annual periods. 4. Intrinsic Bond Value $V = C \times (P/A, r, n) + M \times (P/F, r, n)$ $V = 40 \times (P/A, 3\%, 10) + 1,000 \times (P/F, 3\%, 10)$ $V = 40 \times 8.5302 + 1,000 \times 0.7441 = 341.208 + 744.100 = ¥1,085.308 \approx ¥1,085.31$. Because the coupon rate (8.0%) exceeds the market required yield (6.0%), the bond trades at a premium above its ¥1,000 par value.

Question 35Financial appraisal, financing and conditional valuation models

A 3-year corporate bond with a face value of ¥1,000 pays an annual coupon of 6.0% (¥60 per year) and is currently trading at a market price of ¥948.00. Using standard discount factors: at 8.0%, $(P/A, 8\%, 3) = 2.5771$ and $(P/F, 8\%, 3) = 0.7938$ (giving $PV = ¥948.43$); at 9.0%, $(P/A, 9\%, 3) = 2.5313$ and $(P/F, 9\%, 3) = 0.7722$ (giving $PV = ¥924.08$). Using linear interpolation, what is the bond's Yield to Maturity (YTM / 到期收益率)?

  1. 8.02% Correct answer.
  2. 8.50%
  3. 7.85%
  4. 9.10%

Explanation

Using linear interpolation: At $r_1 = 8.0\%$, $PV_1 = 60 \times 2.5771 + 1,000 \times 0.7938 = 154.626 + 793.80 = ¥948.426$. At $r_2 = 9.0\%$, $PV_2 = 60 \times 2.5313 + 1,000 \times 0.7722 = 151.878 + 772.20 = ¥924.078$. Target market price $P = ¥948.00$. $\text{YTM} = r_1 + \frac{PV_1 - P}{PV_1 - PV_2} \times (r_2 - r_1)$ $\text{YTM} = 8.0\% + \frac{948.426 - 948.000}{948.426 - 924.078} \times (9.0\% - 8.0\%)$ $\text{YTM} = 8.0\% + \frac{0.426}{24.348} \times 1.0\% = 8.0\% + 0.0175\% \approx 8.0175\% \approx 8.02\%$.

Question 36Financial appraisal, financing and conditional valuation models

A 3-year bond with a face value of ¥1,000 pays an annual coupon of 10.0% and is currently priced at par ¥1,000.00 (Yield to Maturity $y = 10.0\%$). The present values of cash flows at $t=1, 2, 3$ are ¥90.91, ¥82.64, and ¥826.45, respectively. What is the Macaulay Duration (麦考利久期) of this bond, and what is the estimated percentage change in bond price if the market yield increases by 50 basis points (+0.50%)?

  1. Macaulay Duration = 2.74 years; Price change = -1.24% Correct answer.
  2. Macaulay Duration = 3.00 years; Price change = -1.50%
  3. Macaulay Duration = 2.74 years; Price change = +1.24%
  4. Macaulay Duration = 2.49 years; Price change = -2.49%

Explanation

1. Macaulay Duration calculation: $D = \frac{\sum_{t=1}^n t \times PV(CF_t)}{P} = \frac{1(90.91) + 2(82.64) + 3(826.45)}{1,000} = \frac{90.91 + 165.28 + 2,479.35}{1,000} = \frac{2,735.54}{1,000} = 2.73554 \approx 2.74$ years. 2. Modified Duration $D^* = \frac{D}{1 + y} = \frac{2.73554}{1 + 0.10} = 2.48685$ years. 3. Estimated percentage price change for $\Delta y = +0.50\% = +0.005$: $\frac{\Delta P}{P} \approx -D^* \times \Delta y = -2.48685 \times 0.005 = -0.012434 = -1.2434\% \approx -1.24\%$. When interest rates rise by 50 bps, the bond price drops by approximately 1.24%.

Question 37Financial appraisal, financing and conditional valuation models

Assuming market required yields remain constant over time, which of the following statements correctly describes the price behavior of a Discount Bond (折价发行债券) as it approaches maturity?

  1. The value of the discount bond gradually increases over time, converging to par value at maturity Correct answer.
  2. The value of the discount bond gradually decreases over time, converging to zero at maturity
  3. The value of the discount bond fluctuates sinusoidally but remains below par until the final redemption date
  4. The value of the discount bond remains strictly constant because the coupon rate does not change

Explanation

Under constant market required yields: 1. A Discount Bond (Coupon Rate < Market Yield) trades below par value ($P < M$). As time elapses and maturity approaches, the remaining number of below-market coupon periods decreases, and the pull-to-par effect causes the bond's clean price to monotonically increase toward its par value ($M$) at maturity. 2. Conversely, a Premium Bond (Coupon Rate > Market Yield) gradually decreases in price toward par value. 3. A Par Bond remains at par value throughout its life.

Question 38Financial appraisal, financing and conditional valuation models

A listed company just paid an annual cash dividend of $D_0 = ¥2.00$ per share yesterday. The company's dividends are expected to grow at a constant perpetual rate of $g = 5.0\%$ per year indefinitely. If the required rate of return on common equity is $r_s = 10.0\%$, what is the intrinsic value of the stock today according to the Gordon Dividend Growth Model?

  1. ¥42.00 Correct answer.
  2. ¥40.00
  3. ¥21.00
  4. ¥44.10

Explanation

According to the Gordon Constant Growth Dividend Discount Model: 1. Next year's expected dividend $D_1 = D_0 \times (1 + g) = ¥2.00 \times (1 + 0.05) = ¥2.10$. 2. Intrinsic Value $P_0 = \frac{D_1}{r_s - g} = \frac{2.10}{0.10 - 0.05} = \frac{2.10}{0.05} = ¥42.00$. (Note: A common error is using $D_0$ directly: $2.00 / 0.05 = ¥40.00$, which ignores the dividend growth in the first year).

Question 39Financial appraisal, financing and conditional valuation models

A growth firm just distributed a dividend of $D_0 = ¥1.00$ per share. Analysts forecast that dividends will grow at a supernormal rate of 20.0% per year for the next 2 years (Years 1 and 2), after which growth will stabilize at a perpetual constant rate of 5.0% per year from Year 3 onward. The cost of equity is 12.0%. What is the intrinsic value per share ($P_0$)?

  1. ¥19.44 Correct answer.
  2. ¥21.60
  3. ¥15.45
  4. ¥24.00

Explanation

Using the Two-Stage Dividend Discount Model: 1. Supernormal Stage Dividends: - D1 = D0 * (1 + 0.20) = 1.00 * 1.20 = 1.20 - D2 = D1 * (1 + 0.20) = 1.20 * 1.20 = 1.44 2. Stable Growth Stage Dividend at Year 3: - D3 = D2 * (1 + 0.05) = 1.44 * 1.05 = 1.512 3. Terminal Stock Value at Year 2 (P2): - P2 = D3 / (rs - g_stable) = 1.512 / (0.12 - 0.05) = 1.512 / 0.07 = 21.60 4. Discounting Cash Flows to Present (P0): - PV(D1) = 1.20 / (1.12) = 1.0714 - PV(D2 + P2) = (1.44 + 21.60) / (1.12)^2 = 23.04 / 1.2544 = 18.3673 - P0 = 1.0714 + 18.3673 = 19.4387 approx 19.44.

Question 40Financial appraisal, financing and conditional valuation models

In relative valuation models (相对价值评估模型), what is the fundamental economic driver (驱动因素) that uniquely differentiates the Price-to-Book (P/B / 市净率) ratio model from the Price-to-Earnings (P/E / 市盈率) ratio model?

  1. Return on Equity (ROE / 权益净利率) Correct answer.
  2. Sales Revenue Growth Rate (营业收入增长率)
  3. Operating Margin Ratio (营业净利率)
  4. Financial Leverage Ratio (产权比率)

Explanation

According to the fundamental equity valuation formulas: - P/E Model: $\frac{P_0}{E_1} = \frac{\text{Dividend Payout Ratio}}{r_s - g}$ - P/B Model: $\frac{P_0}{B_0} = \frac{\text{ROE} \times \text{Dividend Payout Ratio}}{r_s - g}$ - P/S Model: $\frac{P_0}{S_0} = \frac{\text{Net Profit Margin} \times \text{Dividend Payout Ratio}}{r_s - g}$ Comparing P/B to P/E reveals that $\text{P/B} = \text{P/E} \times \text{ROE}$. Therefore, Return on Equity (ROE / 权益净利率) is the key fundamental driver of the Price-to-Book multiple, meaning peer firms selected for P/B comparable valuation must possess similar ROEs.

Question 41Financial appraisal, financing and conditional valuation models

A financial analyst is valuing Target Company using the Adjusted Price-to-Earnings Ratio (修正市盈率法 / PEG approach). Target Company has expected annual EPS growth of 18.0% and expected next-year EPS of ¥2.50. A comparable peer firm has a forward P/E ratio of 20.0 and an expected EPS growth rate of 10.0%. What is the target company's implied stock value per share?

  1. ¥90.00 Correct answer.
  2. ¥50.00
  3. ¥75.00
  4. ¥112.50

Explanation

Under the Adjusted P/E (修正市盈率) comparable method: 1. Peer Adjusted P/E ratio (PEG) = $\frac{\text{Peer P/E}}{\text{Peer Growth Rate} \times 100} = \frac{20.0}{10.0} = 2.0$. 2. Target Company Implied P/E ratio = Peer Adjusted P/E $\times (\text{Target Growth Rate} \times 100) = 2.0 \times 18.0 = 36.0$. 3. Target Company Implied Stock Value = Target Expected EPS $\times$ Target Implied P/E = $¥2.50 \times 36.0 = ¥90.00$. (This adjusts for the fact that Target Company has higher growth than its peer, justifying a higher P/E multiple).

Question 42Financial appraisal, financing and conditional valuation models

A corporation plans to issue 5-year corporate bonds with a face value of ¥1,000 and an annual coupon rate of 7.0%, paid annually. The bonds are expected to be issued at ¥980.00, and underwriting/flotation costs will be 2.0% of the issue price (Net proceeds per bond = ¥960.40). Using discount factors: at 8.0%, $(P/A, 8\%, 5) = 3.9927$ and $(P/F, 8\%, 5) = 0.6806$ (giving $PV = ¥960.09$). The corporate income tax rate is 25%. What is the corporation's After-Tax Cost of Debt (税后债务资本成本)?

  1. 6.00% Correct answer.
  2. 8.00%
  3. 5.25%
  4. 7.00%

Explanation

1. Determine pre-tax cost of debt ($K_d$) using the cash flow valuation identity: $\text{Net Issue Proceeds} = \text{Annual Coupon} \times (P/A, K_d, 5) + \text{Par Value} \times (P/F, K_d, 5)$ Net Issue Proceeds = $¥980.00 \times (1 - 0.02) = ¥960.40$. At $K_d = 8.0\%$: $PV = 70 \times 3.9927 + 1,000 \times 0.6806 = 279.489 + 680.600 = ¥960.089 \approx ¥960.40$. Thus, the pre-tax cost of debt is $K_{d,\text{pre-tax}} \approx 8.00\%$. 2. Compute After-Tax Cost of Debt: $K_{d,\text{after-tax}} = K_{d,\text{pre-tax}} \times (1 - T) = 8.00\% \times (1 - 0.25) = 6.00\%$.

Question 43Financial appraisal, financing and conditional valuation models

A listed company's pre-tax cost of long-term debt is 6.0%. Under the Bond Yield Plus Risk Premium Method (债券收益率风险调整模型), if the historical equity risk premium of the company's common stock over its own pre-tax bond yield is determined to be 4.5%, what is the company's Cost of Common Equity?

  1. 10.5% Correct answer.
  2. 9.0%
  3. 7.8%
  4. 11.5%

Explanation

Under the Bond Yield Plus Risk Premium Method: $K_s = K_{d,\text{pre-tax}} + RP_c$ Where: - $K_{d,\text{pre-tax}} = 6.0\%$ (the company's own pre-tax long-term debt cost) - $RP_c = 4.5\%$ (the risk premium of equity over debt for this specific enterprise, typically 3% to 5% in empirical practice) $K_s = 6.0\% + 4.5\% = 10.5\%$. Note that in CICPA finance methodology, the base is the company's pre-tax debt yield rather than after-tax debt cost.

Question 44Financial appraisal, financing and conditional valuation models

A listed company's stock currently trades at $P_0 = ¥20.00$ per share. The company expects to pay a dividend of $D_1 = ¥1.00$ per share at the end of next year, and dividends are projected to grow at a constant rate of $g = 5.0\%$ indefinitely. If the company issues new common shares, it will incur underwriting and legal flotation costs of 4.0% of the issue price. What are the Cost of Retained Earnings ($K_s$) and the Cost of New Common Equity ($K_e$), respectively?

  1. Cost of Retained Earnings = 10.00%; Cost of New Equity = 10.21% Correct answer.
  2. Cost of Retained Earnings = 10.00%; Cost of New Equity = 10.00%
  3. Cost of Retained Earnings = 10.21%; Cost of New Equity = 10.00%
  4. Cost of Retained Earnings = 9.80%; Cost of New Equity = 10.50%

Explanation

1. Cost of Retained Earnings ($K_s$) carries zero flotation costs: $K_s = \frac{D_1}{P_0} + g = \frac{1.00}{20.00} + 0.05 = 0.05 + 0.05 = 10.00\%$. 2. Cost of New Common Equity ($K_e$) accounts for flotation cost percentage $F = 4.0\%$: $K_e = \frac{D_1}{P_0 \times (1 - F)} + g = \frac{1.00}{20.00 \times (1 - 0.04)} + 0.05 = \frac{1.00}{19.20} + 0.05 \approx 0.052083 + 0.05 = 10.2083\% \approx 10.21\%$. Because new equity issuance involves flotation friction, $K_e > K_s$.

Question 45Financial appraisal, financing and conditional valuation models

A company has a target capital structure consisting of 40% Long-Term Debt, 10% Preferred Equity, and 50% Common Equity (based on market values). The company's pre-tax cost of long-term debt is 6.0%, its income tax rate is 25%, its cost of preferred equity is 8.0%, and its cost of common equity is 13.0%. What is the company's Weighted Average Cost of Capital (WACC)?

  1. 9.10% Correct answer.
  2. 9.70%
  3. 8.50%
  4. 10.20%

Explanation

1. After-tax Cost of Debt $K_{d,\text{after-tax}} = 6.0\% \times (1 - 0.25) = 4.50\%$. 2. Cost of Preferred Equity $K_p = 8.00\%$ (preferred dividends are not tax-deductible). 3. Cost of Common Equity $K_s = 13.00\%$. 4. Compute WACC using target weights: $\text{WACC} = w_d K_{d,\text{after-tax}} + w_p K_p + w_s K_s$ $\text{WACC} = 0.40 \times 4.50\% + 0.10 \times 8.00\% + 0.50 \times 13.00\%$ $\text{WACC} = 1.80\% + 0.80\% + 6.50\% = 9.10\%$.

Question 46Financial appraisal, financing and conditional valuation models

Under which set of conditions is it strictly appropriate for a corporate management team to use the existing Company Weighted Average Cost of Capital (Company WACC) as the hurdle/discount rate for evaluating a new capital investment project?

  1. The new project's business risk is identical to the company's average existing business risk, and the company maintains its current target capital structure for the project Correct answer.
  2. The new project has higher risk than current operations, provided it is financed entirely with low-cost debt
  3. The project's IRR exceeds the cost of debt, regardless of the project's risk profile or industry sector
  4. The company's overall stock beta is less than 1.0, regardless of the new project's operational sector

Explanation

The Company WACC reflects the average risk of existing operations and existing financing structure. It can serve as the project discount rate if and only if two conditions are simultaneously satisfied: 1. Operating/Business Risk Equivalence: The new project's asset risk is identical to the average asset risk of the company's current business operations. 2. Financial Risk / Capital Structure Equivalence: The financing method for the project adheres to the company's target capital structure without altering overall financial leverage.

Question 47Financial appraisal, financing and conditional valuation models

In project capital budgeting, what is the theoretically preferred method for incorporating security issuance flotation costs (发行费用) incurred when raising project capital?

  1. Deduct the flotation costs as an upfront initial cash outflow ($CF_0$) in the project's cash flow schedule Correct answer.
  2. Permanently increase the project discount rate (WACC) to amortize the flotation cost over the project's life
  3. Capitalize the flotation costs into the asset's tax basis and claim annual tax depreciation on them
  4. Ignore flotation costs because they represent sunk costs incurred in financial markets

Explanation

In standard corporate finance theory and CICPA guidelines, flotation costs are one-time transaction fees incurred at the start of financing. The correct treatment is to include flotation costs directly as part of the project's initial cash outflow ($CF_0$) at $t=0$. Adjusting the WACC upward is flawed because it compounds the flotation cost over the entire project horizon, unfairly penalizing long-lived projects with excessive cost burdens.

Question 48Financial appraisal, financing and conditional valuation models

An investor establishes a Protective Put strategy (保护性看跌期权) by purchasing 1 share of common stock at $S_0 = ¥50.00$ and simultaneously buying 1 European put option with an exercise price of $K = ¥48.00$ for an option premium of $P = ¥3.00$. What is the investor's Maximum Possible Loss, and what is the Net Profit if the stock price at expiration is $S_T = ¥65.00$?

  1. Maximum Loss = ¥5.00; Net Profit at ¥65 = ¥12.00 Correct answer.
  2. Maximum Loss = ¥3.00; Net Profit at ¥65 = ¥15.00
  3. Maximum Loss = ¥5.00; Net Profit at ¥65 = ¥15.00
  4. Maximum Loss = ¥2.00; Net Profit at ¥65 = ¥12.00

Explanation

In a Protective Put strategy: 1. Total initial cash outlay = Stock Purchase Price + Put Premium = $¥50.00 + ¥3.00 = ¥53.00$. 2. If the stock price drops below the strike price ($S_T < 48$), the put option is exercised, ensuring minimum gross proceeds of $K = ¥48.00$. Maximum Loss = Total Initial Outlay - Exercise Price = $¥53.00 - ¥48.00 = ¥5.00$ (or $(S_0 - K) + P = (50 - 48) + 3 = ¥5.00$). 3. If $S_T = ¥65.00$, the put option expires worthless ($P_T = 0$). Net Profit = Gross Payoff - Initial Outlay = $(S_T - S_0) - P = (65.00 - 50.00) - 3.00 = 15.00 - 3.00 = ¥12.00$.

Question 49Financial appraisal, financing and conditional valuation models

An investor adopts a Covered Call strategy (抛补看涨期权) by purchasing 1 share of stock at $S_0 = ¥40.00$ and writing (selling) 1 European call option with strike price $K = ¥45.00$ for a premium of $C = ¥4.00$. What is the investor's Maximum Net Profit, and what is the Break-Even Stock Price at expiration?

  1. Maximum Profit = ¥9.00; Break-Even Price = ¥36.00 Correct answer.
  2. Maximum Profit = ¥5.00; Break-Even Price = ¥40.00
  3. Maximum Profit = ¥4.00; Break-Even Price = ¥41.00
  4. Maximum Profit = ¥9.00; Break-Even Price = ¥44.00

Explanation

In a Covered Call strategy: 1. Initial net investment = Stock Purchase Price - Call Premium Received = $¥40.00 - ¥4.00 = ¥36.00$. 2. Break-Even Price at expiration occurs when gross stock value equals net initial investment: $\text{Break-Even Price} = S_0 - C = ¥40.00 - ¥4.00 = ¥36.00$. 3. Maximum Net Profit is achieved when $S_T \ge K = ¥45.00$, where the stock is called away at $K$: $\text{Maximum Net Profit} = (K - S_0) + C = (45.00 - 40.00) + 4.00 = 5.00 + 4.00 = ¥9.00$. (Upside is capped at ¥9.00, while downside risk is cushioned by the ¥4.00 option premium down to ¥36.00).

Question 50Financial appraisal, financing and conditional valuation models

An investor anticipates significant volatility ahead of an earnings release and establishes a Long Straddle strategy (多头对敲) by purchasing 1 European call option (Strike $K = ¥50.00$, Premium $C = ¥4.00$) and 1 European put option (Strike $K = ¥50.00$, Premium $P = ¥3.00$) on the same underlying stock. What are the Lower and Upper Break-Even stock prices at expiration, and what is the Net Profit if the stock price moves to $S_T = ¥62.00$?

  1. Lower Break-Even = ¥43.00; Upper Break-Even = ¥57.00; Net Profit at ¥62 = ¥5.00 Correct answer.
  2. Lower Break-Even = ¥46.00; Upper Break-Even = ¥54.00; Net Profit at ¥62 = ¥12.00
  3. Lower Break-Even = ¥43.00; Upper Break-Even = ¥57.00; Net Profit at ¥62 = ¥12.00
  4. Lower Break-Even = ¥47.00; Upper Break-Even = ¥53.00; Net Profit at ¥62 = ¥5.00

Explanation

In a Long Straddle strategy: 1. Total premium cost = $C + P = ¥4.00 + ¥3.00 = ¥7.00$. 2. Upper Break-Even Stock Price = $\text{Strike} + \text{Total Premium} = ¥50.00 + ¥7.00 = ¥57.00$. 3. Lower Break-Even Stock Price = $\text{Strike} - \text{Total Premium} = ¥50.00 - ¥7.00 = ¥43.00$. 4. If $S_T = ¥62.00$, the call option is exercised with gross payoff of $62.00 - 50.00 = ¥12.00$, while the put option expires worthless ($P_T = 0$). Net Profit = Gross Payoff - Total Premium = $¥12.00 - ¥7.00 = ¥5.00$.