Edexcel IAL · Thinka 原創模擬試題

2024 Edexcel IAL Accounting (YAC11) 模擬試題連答案詳解

Thinka Jan 2024 Cambridge International A Level-Style Mock — Accounting (YAC11)

200 180 分鐘2024
An original Thinka practice paper modelled on the structure and difficulty of the Jan 2024 Cambridge International A Level Accounting (YAC11) paper. Not affiliated with or reproduced from Cambridge.

甲部

Answer BOTH questions in this section. Show all workings.
2 題目 · 110
題目 1 · comprehensive
55
Zenith Manufacturing plc is considering investing in a brand-new production line to manufacture high-performance components. The project, designated as Project Gamma, requires an initial investment in specialised machinery of \( \text{£}800,000 \) on 1 January Year 1.

The machinery will have an estimated useful life of 4 years, after which it will be sold for a scrap value of \( \text{£}120,000 \). Straight-line depreciation will be applied.

In addition, working capital of \( \text{£}60,000 \) is required at the start of the project (Year 0) and will be recovered in full at the end of Year 4.

Sales volume and selling price projections are as follows:
- **Year 1:** 20,000 units at \( \text{£}40 \) per unit
- **Year 2:** 25,000 units at \( \text{£}42 \) per unit
- **Year 3:** 30,000 units at \( \text{£}45 \) per unit
- **Year 4:** 15,000 units at \( \text{£}45 \) per unit

Variable operating costs are estimated to remain constant at \( \text{£}22 \) per unit throughout the 4 years. Annual fixed operating costs (excluding depreciation) are estimated at \( \text{£}180,000 \) per year.

Zenith Manufacturing plc uses a cost of capital (discount rate) of 10% for projects of normal risk, but requires a higher return for riskier ventures.

**Discount Factors:**
- **Year 1:** 10% = 0.909 | 20% = 0.833
- **Year 2:** 10% = 0.826 | 20% = 0.694
- **Year 3:** 10% = 0.751 | 20% = 0.579
- **Year 4:** 10% = 0.683 | 20% = 0.482

**Required:**

(a) Calculate for each of the Years 1 to 4:
(i) the annual revenue and variable operating costs. (4 marks)
(ii) the annual net cash flows, clearly showing Year 0 and all cash flows including capital expenditure, working capital, operating cash flows, and terminal values. (8 marks)

(b) Using the cash flows calculated in (a)(ii), calculate:
(i) the Net Present Value (NPV) of the project using a discount rate of 10%. (6 marks)
(ii) the Net Present Value (NPV) of the project using a discount rate of 20%. (5 marks)
(iii) the Internal Rate of Return (IRR) of the project. (4 marks)

(c) Calculate:
(i) the Payback Period (expressed in years and months). (4 marks)
(ii) the Accounting Rate of Return (ARR) based on the average investment method (working capital may be excluded or included in average investment; clearly state your approach). (8 marks)

(d) Evaluate the project and recommend whether Zenith Manufacturing plc should accept or reject the investment. Discuss both financial indicators and at least three non-financial or ethical factors (such as employee welfare, environmental sustainability, and product safety). (16 marks)
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解題

### Workings and Detailed Calculations

**(a) (i) Annual Revenue and Variable Operating Costs**
- **Year 1:**
- Revenue: \( 20,000 \times \text{£}40 = \text{£}800,000 \)
- Variable Cost: \( 20,000 \times \text{£}22 = \text{£}440,000 \)
- **Year 2:**
- Revenue: \( 25,000 \times \text{£}42 = \text{£}1,050,000 \)
- Variable Cost: \( 25,000 \times \text{£}22 = \text{£}550,000 \)
- **Year 3:**
- Revenue: \( 30,000 \times \times \text{£}45 = \text{£}1,350,000 \)
- Variable Cost: \( 30,000 \times \text{£}22 = \text{£}660,000 \)
- **Year 4:**
- Revenue: \( 15,000 \times \text{£}45 = \text{£}675,000 \)
- Variable Cost: \( 15,000 \times \text{£}22 = \text{£}330,000 \)

**(a) (ii) Annual Net Cash Flows (Years 0 to 4)**
- **Year 0:**
- Capital Outlay: \( (\text{£}800,000) \)
- Working Capital: \( (\text{£}60,000) \)
- **Net Cash Flow Year 0:** \( (\text{£}860,000) \)
- **Year 1:**
- Revenue: \( \text{£}800,000 \)
- Less: Variable Costs: \( (\text{£}440,000) \)
- Less: Fixed Costs: \( (\text{£}180,000) \)
- **Net Cash Flow Year 1:** \( \text{£}180,000 \)
- **Year 2:**
- Revenue: \( \text{£}1,050,000 \)
- Less: Variable Costs: \( (\text{£}550,000) \)
- Less: Fixed Costs: \( (\text{£}180,000) \)
- **Net Cash Flow Year 2:** \( \text{£}320,000 \)
- **Year 3:**
- Revenue: \( \text{£}1,350,000 \)
- Less: Variable Costs: \( (\text{£}660,000) \)
- Less: Fixed Costs: \( (\text{£}180,000) \)
- **Net Cash Flow Year 3:** \( \text{£}510,000 \)
- **Year 4:**
- Revenue: \( \text{£}675,000 \)
- Less: Variable Costs: \( (\text{£}330,000) \)
- Less: Fixed Costs: \( (\text{£}180,000) \)
- Add: Scrap Value: \( \text{£}120,000 \)
- Add: Working Capital Recovery: \( \text{£}60,000 \)
- **Net Cash Flow Year 4:** \( \text{£}165,000 + \text{£}120,000 + \text{£}60,000 = \text{£}345,000 \)

---

**(b) (i) NPV at 10% Discount Rate**
- **Year 0:** \( (\text{£}860,000) \times 1.000 = (\text{£}860,000) \)
- **Year 1:** \( \text{£}180,000 \times 0.909 = \text{£}163,620 \)
- **Year 2:** \( \text{£}320,000 \times 0.826 = \text{£}264,320 \)
- **Year 3:** \( \text{£}510,000 \times 0.751 = \text{£}383,010 \)
- **Year 4:** \( \text{£}345,000 \times 0.683 = \text{£}235,635 \)
- **Sum of PVs:** \( \text{£}1,046,585 \)
- **NPV at 10%:** \( \text{£}1,046,585 - \text{£}860,000 = +\text{£}186,585 \)

**(b) (ii) NPV at 20% Discount Rate**
- **Year 0:** \( (\text{£}860,000) \times 1.000 = (\text{£}860,000) \)
- **Year 1:** \( \text{£}180,000 \times 0.833 = \text{£}149,940 \)
- **Year 2:** \( \text{£}320,000 \times 0.694 = \text{£}222,080 \)
- **Year 3:** \( \text{£}510,000 \times 0.579 = \text{£}295,290 \)
- **Year 4:** \( \text{£}345,000 \times 0.482 = \text{£}166,290 \)
- **Sum of PVs:** \( \text{£}833,600 \)
- **NPV at 20%:** \( \text{£}833,600 - \text{£}860,000 = -\text{£}26,400 \)

**(b) (iii) Internal Rate of Return (IRR)**
Using the formula:
\[ \text{IRR} = L + \left( \frac{A}{A - B} \right) \times (H - L) \]
Where:
- \( L = 10\% \)
- \( H = 20\% \)
- \( A = \text{£}186,585 \)
- \( B = -\text{£}26,400 \)

\[ \text{IRR} = 10\% + \left( \frac{186,585}{186,585 - (-26,400)} \right) \times (20\% - 10\%) \]
\[ \text{IRR} = 10\% + \left( \frac{186,585}{212,985} \right) \times 10\% = 10\% + 8.76\% = 18.76\% \]

---

**(c) (i) Payback Period**
- Year 0: \( (\text{£}860,000) \)
- Year 1: Outlay remaining = \( \text{£}860,000 - \text{£}180,000 = \text{£}680,000 \)
- Year 2: Outlay remaining = \( \text{£}680,000 - \text{£}320,000 = \text{£}360,000 \)
- Year 3: Operating cash inflow = \( \text{£}510,000 \)
- Fraction of Year 3 required = \( \frac{360,000}{510,000} = 0.706 \text{ years} \)
- \( 0.706 \times 12 \text{ months} = 8.47 \text{ months} \) (approx. 8.5 months)
- **Payback Period:** 2 years and 8.5 months (or 2.71 years).

**(c) (ii) Accounting Rate of Return (ARR)**

**Method 1: Excluding Working Capital from average investment**
- **Total Net Profits over life of project:**
- Total cash inflows from operations (excluding scrap and working capital): \( \text{£}180,000 + \text{£}320,000 + \text{£}510,000 + \text{£}165,000 = \text{£}1,175,000 \)
- Less Total Depreciation: \( \text{£}800,000 - \text{£}120,000 = \text{£}680,000 \)
- Total Net Profit = \( \text{£}495,000 \)
- Average Annual Profit = \( \frac{\text{£}495,000}{4 \text{ years}} = \text{£}123,750 \)
- **Average Investment:**
- \( \frac{\text{Initial Capital Outlay} + \text{Scrap Value}}{2} = \frac{\text{£}800,000 + \text{£}120,000}{2} = \text{£}460,000 \)
- **ARR:**
- \( \frac{\text{£}123,750}{\text{£}460,000} \times 100 = 26.90\% \)

**Method 2: Including Working Capital in average investment**
- Average Investment = \( \text{£}460,000 + \text{£}60,000 = \text{£}520,000 \)
- **ARR:**
- \( \frac{\text{£}123,750}{\text{£}520,000} \times 100 = 23.80\% \)
*(Note: Both methods are fully acceptable with clear workings)*

---

**(d) Evaluation**
- **Financial factors:**
- The project yields a positive NPV of \( +\text{£}186,585 \) at the company's 10% cost of capital. This means it creates substantial shareholder wealth.
- The IRR is 18.76%, which is well above the hurdle rate of 10%.
- The ARR is 26.90% (or 23.80%), which is highly attractive compared to alternative standard financial market rates.
- The Payback Period is 2 years and 8.5 months, which is relatively quick for a 4-year project, minimizing exposure to medium-term risk.
- **Non-financial and ethical factors:**
- **Employee Welfare:** Introducing a new production line might require retraining workers. There are ethical implications regarding the safety and health conditions of operating new high-performance manufacturing machinery. Zenith must ensure adequate safety standards are met.
- **Environmental Sustainability:** Manufacturing high-performance components can produce waste and consume substantial energy. Zenith needs to consider the carbon footprint, energy efficiency of the new machinery, and the disposal/recycling of scrap metals and chemical effluents.
- **Market Position & Innovation:** Developing new high-performance components keeps Zenith competitive and positions it as an industry leader, which is positive for long-term survival.
- **Supplier & Customer Relationships:** A sudden rise in production requires stable ethical procurement of raw materials. Zenith should ensure its suppliers pay fair wages and do not exploit workers.

評分準則

**(a)(i)** [4 Marks]
- Year 1 to 4 Revenues correctly computed: 2 marks (all correct = 2, 1-2 errors = 1)
- Year 1 to 4 Variable Operating Costs correctly computed: 2 marks

**(a)(ii)** [8 Marks]
- Year 0 outflows (capital + working capital): 2 marks
- Years 1-3 net cash operating flows: 2 marks
- Year 4 operating cash flow: 1 mark
- Year 4 scrap value: 1 mark
- Year 4 working capital recovery: 1 mark
- Presentation/Layout of Cash Flows: 1 mark

**(b)(i)** [6 Marks]
- Correct discount factors applied: 2 marks
- Present value calculations: 2 marks
- Final NPV calculation (\( +\text{£}186,585 \)): 2 marks (allow OFR from a(ii))

**(b)(ii)** [5 Marks]
- Correct 20% discount factors applied: 2 marks
- Present value calculations: 2 marks
- Final NPV calculation (\( -\text{£}26,400 \)): 1 mark (allow OFR)

**(b)(iii)** [4 Marks]
- Use of correct IRR interpolation formula: 1 mark
- Accurate substitution of NPV values: 2 marks
- Final IRR calculation (\( 18.76\% \)): 1 mark (accept range of 18.5% to 19.0% depending on rounding/interpolation points)

**(c)(i)** [4 Marks]
- Cumulative cash flows correct tracking: 2 marks
- Fraction calculation: 1 mark
- Payback Period final response (2 years, 8.5 months): 1 mark

**(c)(ii)** [8 Marks]
- Total cash flow calculation: 2 marks
- Depreciation deduction to find profit: 2 marks
- Average investment calculation (machinery +/- working capital): 2 marks
- Final ARR calculation: 2 marks (allow 26.90% or 23.80%)

**(d)** [16 Marks]
- **Levels of Response:**
- **Level 1 (1-4 marks):** Basic points on NPV or ARR without deep evaluation. No discussion of non-financial aspects.
- **Level 2 (5-8 marks):** Discusses NPV and at least one other financial tool. Touches on non-financial factors superficially.
- **Level 3 (9-12 marks):** Clear comparison of financial indicators (NPV, IRR, ARR, Payback). Discusses at least two non-financial/ethical factors (e.g. environment, employee training).
- **Level 4 (13-16 marks):** Comprehensive financial analysis (including risk analysis via IRR and payback) and thorough ethical/non-financial discussion. A well-justified final recommendation is provided.
題目 2 · comprehensive
55
Apex Group plc is a large, stock-market-listed engineering business. The directors have recently published the company's financial results for the financial years ended 31 December Year 1 and 31 December Year 2. Below are key extracts from the financial statements along with relevant stock market data.

### **Extracts from Statement of Profit or Loss**

| Item | Year 1 (£) | Year 2 (£) |
| :--- | :---: | :---: |
| Revenue | 4,500,000 | 5,200,000 |
| Gross Profit | 1,800,000 | 1,976,000 |
| Operating Profit (EBIT) | 750,000 | 840,000 |
| Finance Costs (Interest Expense) | (100,000) | (120,000) |
| Profit before Tax | 650,000 | 720,000 |
| Taxation | (130,000) | (144,000) |
| Profit for the Year | 520,000 | 576,000 |

### **Extracts from Statement of Financial Position (as at 31 December)**

| Assets & Liabilities | Year 1 (£) | Year 2 (£) |
| :--- | :---: | :---: |
| Non-Current Assets | 3,200,000 | 3,800,000 |
| Current Assets | 1,200,000 | 1,450,000 |
| **Total Assets** | **4,400,000** | **5,250,000** |
| **Equity and Liabilities:** | | |
| Ordinary Share Capital (£0.50 nominal value) | 1,000,000 | 1,000,000 |
| Share Premium | 400,000 | 400,000 |
| Retained Earnings | 600,000 | 920,000 |
| **Total Equity** | **2,000,000** | **2,320,000** |
| Non-Current Liabilities (8% Debentures) | 1,250,000 | 1,500,000 |
| Current Liabilities | 1,150,000 | 1,430,000 |
| **Total Equity and Liabilities** | **4,400,000** | **5,250,000** |

### **Additional Market Data**
- **Market Price per Ordinary Share** as at 31 December: Year 1 = \( \text{£}3.25 \); Year 2 = \( \text{£}4.80 \).
- **Ordinary Dividends Paid and Proposed** for the year: Year 1 = \( \text{£}200,000 \); Year 2 = \( \text{£}256,000 \).

---

**Required:**

(a) Calculate the following investment ratios for **both** Year 1 and Year 2 (clearly show your formulas and workings):
(i) Earnings per Share (EPS). (4 marks)
(ii) Price Earnings (P/E) Ratio. (4 marks)
(iii) Dividend per Share (DPS). (4 marks)
(iv) Dividend Yield. (4 marks)
(v) Dividend Cover. (4 marks)

(b) Calculate the following financial performance and capital structure ratios for **both** Year 1 and Year 2:
(i) Return on Capital Employed (ROCE) based on year-end Capital Employed. (6 marks)
(ii) Gearing Ratio (either Debt/Capital Employed or Debt/Equity; state your chosen method). (6 marks)
(iii) Interest Cover. (4 marks)

(c) Evaluate the performance, position, and prospects of Apex Group plc over the two-year period, and discuss whether the company is an attractive investment from the distinct perspectives of:
(i) a long-term institutional investor seeking capital growth. (11 marks)
(ii) a small, retired individual shareholder seeking stable, high dividend income. (12 marks)
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解題

### **(a) Calculation of Investment Ratios (Year 1 & Year 2)**

First, calculate the number of ordinary shares:
\[ \text{Number of ordinary shares} = \frac{\text{Ordinary Share Capital}}{\text{Nominal Value}} = \frac{\text{£}1,000,000}{\text{£}0.50} = 2,000,000 \text{ shares} \]

**(i) Earnings per Share (EPS)**
- **Formula:** \( \frac{\text{Profit for the Year}}{\text{Number of Ordinary Shares}} \)
- **Year 1:** \( \frac{\text{£}520,000}{2,000,000} = \text{£}0.26 \) (or 26.0p) per share
- **Year 2:** \( \frac{\text{£}576,000}{2,000,000} = \text{£}0.288 \) (or 28.8p) per share

**(ii) Price Earnings (P/E) Ratio**
- **Formula:** \( \frac{\text{Market Price per Share}}{\text{Earnings per Share (EPS)}} \)
- **Year 1:** \( \frac{\text{£}3.25}{\text{£}0.26} = 12.5 \text{ times} \)
- **Year 2:** \( \frac{\text{£}4.80}{\text{£}0.288} = 16.67 \text{ times} \)

**(iii) Dividend per Share (DPS)**
- **Formula:** \( \frac{\text{Total Ordinary Dividends}}{\text{Number of Ordinary Shares}} \)
- **Year 1:** \( \frac{\text{£}200,000}{2,000,000} = \text{£}0.10 \) (or 10.0p) per share
- **Year 2:** \( \frac{\text{£}256,000}{2,000,000} = \text{£}0.128 \) (or 12.8p) per share

**(iv) Dividend Yield**
- **Formula:** \( \left( \frac{\text{Dividend per Share}}{\text{Market Price per Share}} \right) \times 100 \)
- **Year 1:** \( \left( \frac{\text{£}0.10}{\text{£}3.25} \right) \times 100 = 3.08\% \)
- **Year 2:** \( \left( \frac{\text{£}0.128}{\text{£}4.80} \right) \times 100 = 2.67\% \)

**(v) Dividend Cover**
- **Formula:** \( \frac{\text{Earnings per Share (EPS)}}{\text{Dividend per Share (DPS)}} \) or \( \frac{\text{Profit for the Year}}{\text{Total Dividends}} \)
- **Year 1:** \( \frac{\text{£}0.26}{\text{£}0.10} = 2.60 \text{ times} \)
- **Year 2:** \( \frac{\text{£}0.288}{\text{£}0.128} = 2.25 \text{ times} \)

---

### **(b) Calculation of Financial Performance and Risk Ratios**

First, calculate Capital Employed (using year-end figures):
\[ \text{Capital Employed} = \text{Total Equity} + \text{Non-Current Liabilities} \]
- **Year 1:** \( \text{£}2,000,000 + \text{£}1,250,000 = \text{£}3,250,000 \)
- **Year 2:** \( \text{£}2,320,000 + \text{£}1,500,000 = \text{£}3,820,000 \)

**(i) Return on Capital Employed (ROCE)**
- **Formula:** \( \left( \frac{\text{Operating Profit (EBIT)}}{\text{Capital Employed}} \right) \times 100 \)
- **Year 1:** \( \left( \frac{\text{£}750,000}{\text{£}3,250,000} \right) \times 100 = 23.08\% \)
- **Year 2:** \( \left( \frac{\text{£}840,000}{\text{£}3,820,000} \right) \times 100 = 21.99\% \) (approx. 22.0%)

**(ii) Gearing Ratio**

*Method A: Debt / Capital Employed*
- **Formula:** \( \left( \frac{\text{Non-Current Liabilities}}{\text{Capital Employed}} \right) \times 100 \)
- **Year 1:** \( \left( \frac{\text{£}1,250,000}{\text{£}3,250,000} \right) \times 100 = 38.46\% \)
- **Year 2:** \( \left( \frac{\text{£}1,500,000}{\text{£}3,820,000} \right) \times 100 = 39.27\% \)

*Method B: Debt / Equity*
- **Formula:** \( \left( \frac{\text{Non-Current Liabilities}}{\text{Total Equity}} \right) \times 100 \)
- **Year 1:** \( \left( \frac{\text{£}1,250,000}{\text{£}2,000,000} \right) \times 100 = 62.50\% \)
- **Year 2:** \( \left( \frac{\text{£}1,500,000}{\text{£}2,320,000} \right) \times 100 = 64.66\% \)

**(iii) Interest Cover**
- **Formula:** \( \frac{\text{Operating Profit (EBIT)}}{\text{Interest Expense}} \)
- **Year 1:** \( \frac{\text{£}750,000}{\text{£}100,000} = 7.50 \text{ times} \)
- **Year 2:** \( \frac{\text{£}840,000}{\text{£}120,000} = 7.00 \text{ times} \)

---

### **(c) Evaluation and Analysis**

**(i) Institutional Investor (Capital Growth Focus):**
- **Capital Appreciation & Valuation:** The market price of shares grew dramatically from \( \text{£}3.25 \) to \( \text{£}4.80 \) (a 47.7% increase), indicating massive capital appreciation. This shows strong stock market confidence.
- **P/E Ratio increase:** The P/E ratio increased from 12.5x to 16.67x. Investors are now paying more for each pound of earnings, reflecting expectations of higher future growth.
- **EPS Growth:** EPS grew from 26p to 28.8p, confirming that the valuation is backed by actual earnings improvement, though the price growth outpaced the earnings growth.
- **Profitability & Efficiency:** ROCE remains solid (exceeding 21% in both years), showing that Apex is managing to deploy capital productively even with expansion. Gross margin dropped slightly from 40% (Year 1) to 38% (Year 2), indicating possible pressure on cost of sales.
- **Verdict:** Highly attractive. Excellent growth and strong investor sentiment.

**(ii) Small Retired Shareholder (Stable and High Income Focus):**
- **Dividend Income:** The absolute Dividend per Share (DPS) increased from 10.0p to 12.8p (a 28% increase), which is highly beneficial for income requirements.
- **Dividend Yield Decrease:** Despite the DPS increase, the actual Dividend Yield decreased from 3.08% to 2.67%. This is because the market price rose faster than the dividends. This might make the stock less attractive if purchasing new shares, though beneficial for existing holders.
- **Dividend Cover Safety:** Dividend cover dropped from 2.60 to 2.25. While still healthy (dividends are covered over twice by earnings), it shows that Apex is distributing a larger share of its earnings (payout ratio increased from 38% to 44%). This suggests slightly less reinvestment for future years but ensures good cash flow today.
- **Solvency Risk (Gearing & Interest Cover):** Gearing is moderate at ~39%, but has risen. Interest cover dropped slightly from 7.5 to 7.0. While still safe, the retired shareholder must be cautious about rising interest burdens.
- **Verdict:** Generally attractive due to the nominal DPS increase, but the falling yield on current market value means it is not a pure high-yield utility stock.

評分準則

**(a)(i)** [4 Marks]
- Year 1: 26p / £0.26 (1 mark calculation, 1 mark final value)
- Year 2: 28.8p / £0.288 (1 mark calculation, 1 mark final value)

**(a)(ii)** [4 Marks]
- Year 1: 12.5 times (1 mark formula/calc, 1 mark final)
- Year 2: 16.67 times (1 mark formula/calc, 1 mark final)

**(a)(iii)** [4 Marks]
- Year 1: 10p / £0.10 (1 mark calculation, 1 mark final)
- Year 2: 12.8p / £0.128 (1 mark calculation, 1 mark final)

**(a)(iv)** [4 Marks]
- Year 1: 3.08% (1 mark calculation, 1 mark final)
- Year 2: 2.67% (1 mark calculation, 1 mark final)

**(a)(v)** [4 Marks]
- Year 1: 2.60 times (1 mark calculation, 1 mark final)
- Year 2: 2.25 times (1 mark calculation, 1 mark final)

**(b)(i)** [6 Marks]
- Year 1 Capital Employed (3,250,000) and ROCE (23.08%): 3 marks
- Year 2 Capital Employed (3,820,000) and ROCE (21.99%): 3 marks

**(b)(ii)** [6 Marks]
- Gearing calculation Year 1: 3 marks (Debt/CE = 38.46% or Debt/Equity = 62.5%)
- Gearing calculation Year 2: 3 marks (Debt/CE = 39.27% or Debt/Equity = 64.66%)

**(b)(iii)** [4 Marks]
- Year 1 Interest Cover: 2 marks (7.5 times)
- Year 2 Interest Cover: 2 marks (7.0 times)

**(c)(i)** [11 Marks]
- Institutional investor discussion on capital gains and growth: 3 marks
- Discussion on P/E ratio, EPS growth and market value expectations: 4 marks
- Reference to ROCE, underlying efficiency and capital structure: 3 marks
- Clear recommendation on suitability: 1 mark

**(c)(ii)** [12 Marks]
- Retired shareholder discussion on yield vs. cash payout: 3 marks
- Discussion on the DPS increase and yield dilution: 4 marks
- Discussion on the safety aspect (dividend cover, interest cover, and gearing risk): 4 marks
- Clear final verdict: 1 mark

乙部

Answer THREE questions from this section. Show all workings.
3 題目 · 90
題目 1 · Structured numerical calculation with conceptual explanation and short evaluation
30
Zephyr Ltd is considering an investment in a new manufacturing machine, Project Alpha, to improve its productive capacity. The details of the proposed project are as follows:

- Initial cost of machine: £240,000
- Useful life: 4 years
- Residual value at the end of Year 4: £40,000

Estimated annual operating cash flows are as follows:
- Year 1: Inflows £120,000, Outflows £40,000
- Year 2: Inflows £140,000, Outflows £50,000
- Year 3: Inflows £150,000, Outflows £60,000
- Year 4: Inflows £110,000, Outflows £40,000

The company's cost of capital is 10%. The discount factors at 10% are:
- Year 1: 0.909
- Year 2: 0.826
- Year 3: 0.751
- Year 4: 0.683

Required:
(a) Calculate the Payback Period for Project Alpha. (6 marks)
(b) Calculate the Net Present Value (NPV) for Project Alpha. (10 marks)
(c) Calculate the Accounting Rate of Return (ARR) based on the average investment. (6 marks)
(d) Evaluate whether Zephyr Ltd should proceed with Project Alpha, considering both financial and non-financial factors. (8 marks)
查看答案詳解

解題

(a) Payback Period Calculation:
- Year 0 Outlay: (£240,000)
- Year 1 Net Cash Flow: £120,000 - £40,000 = £80,000 (Cumulative: (£160,000))
- Year 2 Net Cash Flow: £140,000 - £50,000 = £90,000 (Cumulative: (£70,000))
- Year 3 Net Cash Flow: £150,000 - £60,000 = £90,000 (Cumulative: +£20,000)
Payback occurs in Year 3.
Fraction of Year 3 needed = £70,000 / £90,000 = 0.78 years.
Payback Period = 2.78 years (or 2 years 9.3 months).

(b) Net Present Value (NPV) Calculation:
- Year 0: (£240,000) * 1.000 = (£240,000)
- Year 1: £80,000 * 0.909 = £72,720
- Year 2: £90,000 * 0.826 = £74,340
- Year 3: £90,000 * 0.751 = £67,590
- Year 4: (£70,000 operating cash flow + £40,000 residual value) = £110,000 * 0.683 = £75,130
Total Present Value of Cash Inflows = £72,720 + £74,340 + £67,590 + £75,130 = £289,780
Net Present Value = £289,780 - £240,000 = +£49,780.

(c) Accounting Rate of Return (ARR) Calculation:
- Total Net Cash Inflows = £80,000 + £90,000 + £90,000 + £110,000 = £370,000
- Total Depreciation = Initial Cost - Residual Value = £240,000 - £40,000 = £200,000
- Total Net Profit = £370,000 - £200,000 = £170,000
- Average Annual Profit = £170,000 / 4 years = £42,500
- Average Investment = (Initial Cost + Residual Value) / 2 = (£240,000 + £40,000) / 2 = £140,000
- ARR = (£42,500 / £140,000) * 100% = 30.36%.

(d) Evaluation:
- Arguments for proceeding: Positive NPV of +£49,780 indicates the project increases shareholder wealth. ARR of 30.36% is high. Payback of 2.78 years is well within the 4-year project life.
- Arguments against/Risks: Cash flow estimates are subjective and inflation or technological shifts could affect them. The residual value of £40,000 may not be fully realizable in 4 years. Zephyr Ltd must ensure they have the cash to fund the initial £240,000 investment.
- Conclusion: The project is highly viable financially and should be accepted subject to cash availability.

評分準則

(a) Payback Period (6 marks):
- 2 marks for calculating correct net annual cash flows for Years 1, 2, and 3.
- 2 marks for setting up cumulative cash flows.
- 2 marks for final correct payback calculation (2.78 years or 2 years 9.3 months / 10 months).

(b) NPV Calculation (10 marks):
- 2 marks for correct net cash flow in Year 4 (£110,000 including residual value).
- 4 marks for applying discount factors correctly to all years.
- 2 marks for showing cumulative Present Values (£289,780).
- 2 marks for final NPV calculation (+£49,780).

(c) ARR Calculation (6 marks):
- 2 marks for calculating average annual profit correctly (£42,500).
- 2 marks for calculating average investment correctly (£140,000).
- 2 marks for final ARR percentage (30.36% or 30.4%).

(d) Evaluation (8 marks):
- 2 marks for analyzing financial outcomes (NPV, ARR, Payback).
- 2 marks for identifying non-financial risks/limitations (estimates uncertainty, liquidity, residual value risk).
- 2 marks for balanced discussion.
- 2 marks for clear, reasoned recommendation.
題目 2 · Structured numerical calculation with conceptual explanation and short evaluation
30
Vanguard Manufacturing Ltd produces a single standard product, 'Omega'. The standard cost card for one unit of Omega is as follows:
- Direct materials: 4 kg at £8.00 per kg = £32.00
- Direct labor: 3 hours at £12.00 per hour = £36.00

The budgeted production for the month of October was 2,000 units.

Actual production and cost data for October were as follows:
- Actual units produced: 1,800 units
- Direct materials purchased and used: 7,500 kg costing £58,500
- Direct labor: 5,200 hours worked costing £63,440

Required:
(a) Calculate the following variances for October, indicating whether they are Favourable (F) or Adverse (A):
(i) Direct Material Price Variance (4 marks)
(ii) Direct Material Usage Variance (4 marks)
(iii) Direct Labor Rate Variance (4 marks)
(iv) Direct Labor Efficiency Variance (4 marks)
(b) Prepare a statement reconciling the standard prime cost of actual production with the actual prime cost incurred. (6 marks)
(c) Discuss possible reasons for the material and labor variances calculated in (a), explaining how they might be interrelated. (8 marks)
查看答案詳解

解題

(a) Variances Calculation:
(i) Direct Material Price Variance:
- Formula: (Standard Price - Actual Price) * Actual Quantity
- Actual Price = £58,500 / 7,500 kg = £7.80 per kg
- Variance = (£8.00 - £7.80) * 7,500 kg = £1,500 Favourable (F)

(ii) Direct Material Usage Variance:
- Formula: (Standard Quantity for Actual Production - Actual Quantity) * Standard Price
- Standard Quantity = 1,800 units * 4 kg = 7,200 kg
- Variance = (7,200 kg - 7,500 kg) * £8.00 = £2,400 Adverse (A)

(iii) Direct Labor Rate Variance:
- Formula: (Standard Rate - Actual Rate) * Actual Hours
- Actual Rate = £63,440 / 5,200 hours = £12.20 per hour
- Variance = (£12.00 - £12.20) * 5,200 hours = £1,040 Adverse (A)

(iv) Direct Labor Efficiency Variance:
- Formula: (Standard Hours for Actual Production - Actual Hours) * Standard Rate
- Standard Hours = 1,800 units * 3 hours = 5,400 hours
- Variance = (5,400 hours - 5,200 hours) * £12.00 = £2,400 Favourable (F)

(b) Reconciliation Statement:
Standard Prime Cost of Actual Production (1,800 units * £68.00 standard cost) = £122,400
Variances:
- Material Price Variance: £1,500 F
- Material Usage Variance: (£2,400) A
- Labor Rate Variance: (£1,040) A
- Labor Efficiency Variance: £2,400 F
Net Variance = £460 F
Actual Prime Cost Incurred (£58,500 + £63,440) = £121,940
(Reconciliation: £122,400 - £1,500 + £2,400 + £1,040 - £2,400 = £121,940)

(c) Discussion and Interrelation:
- Materials: The Favourable Material Price variance (£1,500 F) suggests Vanguard bought cheaper, perhaps lower-quality materials. This directly relates to the Adverse Material Usage variance (£2,400 A), as lower-quality materials lead to more wastage or scrap.
- Labor: The Adverse Labor Rate variance (£1,040 A) suggests higher-paid, more highly-skilled workers were used. This matches the Favourable Labor Efficiency variance (£2,400 F), as these skilled workers finished the job faster than the standard time. The interrelation demonstrates how trade-offs in resource selection affect performance metrics.

評分準則

(a) Variance Calculations (16 marks total - 4 marks per variance):
- 2 marks for correct formula/workings of prices or quantities.
- 1 mark for correct numerical value.
- 1 mark for correct classification (F or A).

(b) Reconciliation Statement (6 marks):
- 2 marks for correct Standard Prime Cost of actual production (£122,400).
- 2 marks for correctly listing all four variances with appropriate signs.
- 2 marks for arriving at the correct Actual Prime Cost (£121,940).

(c) Discussion and Interrelation (8 marks):
- 2 marks for explaining the material price-usage link (low price, poor quality, more waste).
- 2 marks for explaining the labor rate-efficiency link (high rate, better skill, faster production).
- 2 marks for discussing overall management implications.
- 2 marks for balanced presentation and professional accounting terminology.
題目 3 · Structured numerical calculation with conceptual explanation and short evaluation
30
Nebula Ltd manufactures and sells high-tech filters. The standard cost details per unit are as follows:
- Selling price: £80
- Direct materials: £20
- Direct labor: £15
- Variable production overheads: £5

Fixed production overheads are budgeted at £120,000 per year, and normal operating activity is 12,000 units per year. Fixed selling and administration overheads are £40,000 per year.

Actual operating results for Year 1 were as follows:
- Production: 14,000 units
- Sales: 11,000 units
- Actual fixed production overheads: £120,000

There was no opening inventory at the start of Year 1.

Required:
(a) Calculate the predetermined fixed production overhead absorption rate per unit. (2 marks)
(b) Prepare the Statement of Profit or Loss for Year 1 using:
(i) Marginal Costing. (10 marks)
(ii) Absorption Costing (including adjustment for over/under absorption of overheads). (10 marks)
(c) Prepare a reconciliation statement explaining the difference between the profit under both methods. (4 marks)
(d) Evaluate the usefulness of marginal costing compared to absorption costing for managerial decision-making. (4 marks)
查看答案詳解

解題

(a) Predetermined Fixed Production OAR:
OAR = Budgeted Fixed Production Overheads / Budgeted Output
OAR = £120,000 / 12,000 units = £10 per unit.

(b) (i) Marginal Costing Statement of Profit or Loss:
- Sales (11,000 units * £80) = £880,000
- Variable Cost of Goods Sold:
- Opening Inventory: £0
- Variable Cost of Production (14,000 units * £40) = £560,000
- Less: Closing Inventory (3,000 units * £40) = (£120,000)
- Variable Cost of Sales = £440,000
- Contribution = £880,000 - £440,000 = £440,000
- Less Fixed Overheads:
- Fixed Production Overheads: £120,000
- Fixed Selling & Admin: £40,000
- Net Profit = £440,000 - £160,000 = £280,000.

(b) (ii) Absorption Costing Statement of Profit or Loss:
- Full standard cost per unit = £40 variable + £10 fixed = £50 per unit
- Sales = £880,000
- Cost of Goods Sold:
- Opening Inventory: £0
- Cost of Production (14,000 units * £50) = £700,000
- Less: Closing Inventory (3,000 units * £50) = (£150,000)
- Standard Cost of Sales = £550,000
- Under/Over Absorption Adjustment:
- Fixed overhead absorbed (14,000 units * £10) = £140,000
- Budgeted/Actual overhead = £120,000
- Over-absorbed overhead = £20,000 (Deduct from Cost of Sales)
- Adjusted Cost of Sales = £550,000 - £20,000 = £530,000
- Gross Profit = £880,000 - £530,000 = £350,000
- Less Fixed Selling & Admin = £40,000
- Net Profit = £310,000.

(c) Reconciliation Statement:
- Profit under Absorption Costing: £310,000
- Profit under Marginal Costing: £280,000
- Difference: £30,000
- Explanation: Closing stock has increased by 3,000 units (14,000 produced - 11,000 sold). Under absorption costing, these 3,000 units absorb fixed overheads of 3,000 * £10 = £30,000, which is carried forward to the next year. In marginal costing, all fixed overheads (£120,000) are written off in the current year.

(d) Evaluation:
- Marginal costing is highly useful for short-term planning and decision-making because it avoids arbitrary allocations of fixed costs. It prevents profit from fluctuating with production volume changes.
- Absorption costing is useful for pricing decisions where full costs must be recovered, and it complies with external financial reporting standard requirements (IAS 2).

評分準則

(a) OAR Calculation (2 marks):
- 2 marks for correct calculation of OAR (£10 per unit).

(b) (i) Marginal Costing Statement (10 marks):
- 2 marks for correct Sales revenue (£880,000).
- 2 marks for correct valuation of variable cost of production (£560,000).
- 2 marks for correct valuation of closing stock (£120,000).
- 2 marks for correct Contribution calculation (£440,000).
- 2 marks for correct Net Profit (£280,000).

(b) (ii) Absorption Costing Statement (10 marks):
- 2 marks for full unit cost (£50) and production cost (£700,000).
- 2 marks for correct closing stock valuation (£150,000).
- 2 marks for calculating and correcting over-absorbed overheads (£20,000 deducted).
- 2 marks for correct Gross Profit (£350,000).
- 2 marks for correct Net Profit (£310,000).

(c) Reconciliation (4 marks):
- 2 marks for identifying profit difference (£30,000).
- 2 marks for explaining the reason via the fixed overhead component in closing inventory (3,000 units * £10).

(d) Evaluation (4 marks):
- 2 marks for explaining the benefit of marginal costing in decision-making (e.g., CVP analysis, no profit distortion).
- 2 marks for contrasting with the benefit of absorption costing (full recovery of costs, statutory inventory reporting standards).

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