Edexcel IAS-Level · Thinka 原創模擬試題

2023 Edexcel IAS-Level Accounting (XAC11) 模擬試題連答案詳解

Thinka Oct 2023 Cambridge International A Level-Style Mock — Accounting (XAC11)

400 360 分鐘2023
An original Thinka practice paper modelled on the structure and difficulty of the Oct 2023 Cambridge International A Level Accounting (XAC11) paper. Not affiliated with or reproduced from Cambridge.

卷一 甲部

Answer BOTH questions in this section. Show all calculations.
2 題目 · 110
題目 1 · subjective
55
Ameera and Brenda are in partnership, sharing profits and losses in the ratio 3:2. The partnership agreement provides for:
- Interest on capital at 5% per annum on opening capital balances.
- Interest on drawings at 8% per annum on drawings made during the year.
- A partnership salary of £12,000 per annum for Brenda.

The trial balance of the partnership as at 30 April 2023 was as follows:

| Account | Debit (£) | Credit (£) |
| :--- | :---: | :---: |
| Capital accounts (1 May 2022): | | |
| - Ameera | | 170,000 |
| - Brenda | | 115,000 |
| Current accounts (1 May 2022): | | |
| - Ameera | | 6,400 |
| - Brenda | 1,200 | |
| Drawings: | | |
| - Ameera | 18,000 | |
| - Brenda | 14,000 | |
| Revenue (Sales) | | 385,000 |
| Purchases | 215,000 | |
| Carriage inwards | 4,800 | |
| Carriage outwards | 6,200 | |
| Inventory (1 May 2022) | 31,000 | |
| Administrative expenses | 48,500 | |
| Distribution costs | 19,400 | |
| Trade receivables | 42,000 | |
| Trade payables | | 29,500 |
| Allowance for doubtful debts (1 May 2022) | | 1,200 |
| Premises (at cost) | 250,000 | |
| Equipment (at cost) | 80,000 | |
| Provision for depreciation – Equipment (1 May 2022) | | 32,000 |
| Bank (debit balance) | 8,400 | |
| Cash in hand | 600 | |
| **Total** | **739,100** | **739,100** |

**Additional Information on 30 April 2023:**
1. Inventory on 30 April 2023 was valued at a cost of £34,500. This includes some goods that were damaged and had cost £1,500; these goods can be repaired for £300 and then sold for £1,400.
2. Administrative expenses prepaid amounted to £1,500. Administrative expenses accrued amounted to £2,300.
3. Depreciation is to be charged on Equipment at 20% per annum using the reducing balance method. Depreciation is to be classified as an administrative expense.
4. The allowance for doubtful debts is to be adjusted to 3% of trade receivables. Any change in the allowance is to be treated as an administrative expense.

**Required:**

**(a)** Prepare the Statement of Profit or Loss and Appropriation Account for the partnership of Ameera and Brenda for the year ended 30 April 2023. (22 marks)

**(b)** Prepare the partners' Current Accounts for the year ended 30 April 2023. (10 marks)

**(c)** Prepare the Statement of Financial Position for the partnership of Ameera and Brenda at 30 April 2023. (11 marks)

**(d)** Ameera and Brenda are considering whether to admit their senior manager, Charles, as a partner on 1 May 2023, or to convert the partnership into a private limited company.
Evaluate these two options and recommend which course of action Ameera and Brenda should take. (12 marks)
查看答案詳解

解題

**Workings and Preparatory Calculations:**

1. **Inventory Valuation on 30 April 2023:**
- Cost of undamaged inventory: \( £34,500 - £1,500 = £33,000 \)
- Net Realisable Value (NRV) of damaged inventory: \( £1,400 - £300 = £1,100 \)
- Since NRV (\( £1,100 \)) is lower than cost (\( £1,500 \)), inventory is valued at: \( £33,000 + £1,100 = £34,100 \)

2. **Adjusted Administrative Expenses:**
- Unadjusted balance: \( £48,500 \)
- Less prepaid expenses: \( (1,500) \)
- Add accrued expenses: \( 2,300 \)
- Add depreciation on equipment: \( 20\% \times (80,000 - 32,000) = 9,600 \)
- Add increase in allowance for doubtful debts: \( (3\% \times 42,000) - 1,200 = 1,260 - 1,200 = 60 \)
- Total Administrative Expenses: \( 48,500 - 1,500 + 2,300 + 9,600 + 60 = £58,960 \)

3. **Appropriation Calculations:**
- Net Profit: \( Gross\ Profit\ (£168,300) - Carriage\ Outwards\ (£6,200) - Admin\ Expenses\ (£58,960) - Distribution\ Costs\ (£19,400) = £83,740 \)
- Interest on Drawings:
- Ameera: \( £18,000 \times 8\% = £1,440 \)
- Brenda: \( £14,000 \times 8\% = £1,120 \)
- Total Interest on Drawings: \( £2,560 \)
- Interest on Capital:
- Ameera: \( £170,000 \times 5\% = £8,500 \)
- Brenda: \( £115,000 \times 5\% = £5,750 \)
- Total Interest on Capital: \( £14,250 \)
- Partnership Salary (Brenda): \( £12,000 \)
- Residual Profit: \( £83,740 + £2,560 - £14,250 - £12,000 = £60,050 \)
- Profit Share:
- Ameera (3/5): \( £36,030 \)
- Brenda (2/5): \( £24,020 \)

---

### **(a) Statement of Profit or Loss and Appropriation Account for the year ended 30 April 2023**

| | £ | £ |
| :--- | :---: | :---: |
| **Revenue** | | 385,000 |
| **Cost of Sales** | | |
| Opening inventory | 31,000 | |
| Purchases | 215,000 | |
| Carriage inwards | 4,800 | |
| | 250,800 | |
| Less: Closing inventory (working 1) | (34,100) | (216,700) |
| **Gross Profit** | | **168,300** |
| **Expenses** | | |
| Carriage outwards | 6,200 | |
| Administrative expenses (working 2) | 58,960 | |
| Distribution costs | 19,400 | (84,560) |
| **Profit for the year** | | **83,740** |
| Add: Interest on drawings | | |
| - Ameera | 1,440 | |
| - Brenda | 1,120 | 2,560 |
| | | 86,300 |
| Less: Interest on capital | | |
| - Ameera | (8,500) | |
| - Brenda | (5,750) | (14,250) |
| Less: Partnership salary – Brenda | | (12,000) |
| **Residual Profit** | | **60,050** |
| **Share of Profit** | | |
| - Ameera (3/5) | | 36,030 |
| - Brenda (2/5) | | 24,020 |

---

### **(b) Partners' Current Accounts**

| Details | Ameera (£) | Brenda (£) | Details | Ameera (£) | Brenda (£) |
| :--- | :---: | :---: | :--- | :---: | :---: |
| Bal b/d | — | 1,200 | Bal b/d | 6,400 | — |
| Drawings | 18,000 | 14,000 | Interest on capital | 8,500 | 5,750 |
| Interest on drawings | 1,440 | 1,120 | Salary | — | 12,000 |
| Bal c/d | 31,490 | 25,450 | Share of profit | 36,030 | 24,020 |
| **Total** | **50,930** | **41,770** | **Total** | **50,930** | **41,770** |
| | | | Bal b/d | 31,490 | 25,450 |

---

### **(c) Statement of Financial Position at 30 April 2023**

| | Cost (£) | Acc. Dep. (£) | Net Book Value (£) |
| :--- | :---: | :---: | :---: |
| **Non-current assets** | | | |
| Premises | 250,000 | — | 250,000 |
| Equipment | 80,000 | 41,600 | 38,400 |
| **Total Non-current assets** | **330,000** | **41,600** | **288,400** |
| | | | |
| **Current assets** | | | |
| Inventory | | 34,100 | |
| Trade receivables (\( 42,000 - 1,260 \)) | | 40,740 | |
| Other receivables (Prepayment) | | 1,500 | |
| Bank | | 8,400 | |
| Cash in hand | | 600 | 85,340 |
| **Total Assets** | | | **373,740** |
| | | | |
| **Capital and Liabilities** | | | |
| Capital accounts: | | | |
| - Ameera | | 170,000 | |
| - Brenda | | 115,000 | 285,000 |
| Current accounts: | | | |
| - Ameera | | 31,490 | |
| - Brenda | | 25,450 | 56,940 |
| **Total Equity** | | | **341,940** |
| **Current liabilities** | | | |
| Trade payables | | 29,500 | |
| Other payables (Accrual) | | 2,300 | 31,800 |
| **Total Equity and Liabilities** | | | **373,740** |

---

### **(d) Evaluation**

**Option 1: Admitting Charles as a Partner**
- **Advantages:** Charles is a senior manager and knows the business well, ensuring stability. It avoids the costs and legal complexities of incorporation. Admitting him provides new capital and fresh ideas. It provides incentive for him to remain with the business instead of taking his expertise elsewhere.
- **Disadvantages:** Under partnership law, profits will now be split among three people, potentially reducing individual shares. Unlimited liability remains, meaning partners' personal assets are at risk if the business fails. Partnership decision-making can lead to conflict if Ameera, Brenda, and Charles do not agree on strategic direction.

**Option 2: Converting into a Private Limited Company**
- **Advantages:** Offers limited liability, protecting the personal wealth of Ameera and Brenda. It creates a separate legal identity, making it easier to attract external capital, secure loans, and sell shares. The business will be subject to Corporation Tax, which can sometimes be lower than higher-band Income Tax rates on partnership drawings.
- **Disadvantages:** Conversion involves significant legal setup costs and recurring administrative expenses (e.g., preparing statutory accounts, audit fees, filing with Companies House). Information becomes publicly available, reducing privacy. The partners lose complete direct operational flexibility due to complying with the Companies Act.

**Conclusion/Recommendation:**
If Ameera and Brenda seek expansion, need external capital, and wish to shield their personal assets from risk, they should convert to a **private limited company**. However, if they prefer simplicity, lower administration costs, and privacy, they should **admit Charles as a partner**, but ensure a comprehensive partnership agreement is drafted to outline the new duties and profit-sharing terms.

評分準則

**(a) Statement of Profit or Loss and Appropriation Account [22 Marks]**
- Revenue: £385,000 [No mark, but essential]
- Opening inventory (\( £31,000 \)) + Purchases (\( £215,000 \)) + Carriage inwards (\( £4,800 \)) [1] for all three
- Correct Closing inventory valuation (\( £34,100 \)) [2] (1 mark for correct treatment of NRV for damaged goods, 1 mark for final correct total)
- Gross Profit calculation (\( £168,300 \)) [1] (of)
- Carriage outwards (\( £6,200 \)) and Distribution costs (\( £19,400 \)) [1] for both
- Administrative expenses: Base (\( £48,500 \)) - Prepayment (\( £1,500 \)) + Accrual (\( £2,300 \)) [2] (1 mark for prepayment, 1 mark for accrual)
- Depreciation expense calculation (\( £9,600 \)) [2] (1 mark for reducing balance calculation method, 1 mark for correct value)
- Allowance for doubtful debts adjustment (\( £60 \)) [2] (1 mark for calculating new allowance of \( £1,260 \), 1 mark for treating increase of \( £60 \) as an expense)
- Profit for the year calculation (\( £83,740 \)) [1] (of)
- Interest on drawings: Ameera (\( £1,440 \)) and Brenda (\( £1,120 \)) [2] (1 mark each)
- Interest on capital: Ameera (\( £8,500 \)) and Brenda (\( £5,750 \)) [2] (1 mark each)
- Salary to Brenda (\( £12,000 \)) [1]
- Share of profit: Ameera (\( £36,030 \)) [2] (of) and Brenda (\( £24,020 \)) [2] (of)

**(b) Partners' Current Accounts [10 Marks]**
- Correct debiting of opening balance for Brenda (\( £1,200 \)) and crediting of Ameera (\( £6,400 \)) [2] (1 mark each)
- Drawings recorded on debit side (Ameera: \( £18,000 \); Brenda: \( £14,000 \)) [1] (both)
- Interest on drawings correctly debited (Ameera: \( £1,440 \); Brenda: \( £1,120 \)) [2] (of) (1 mark each)
- Interest on capital correctly credited (Ameera: \( £8,500 \); Brenda: \( £5,750 \)) [2] (of) (1 mark each)
- Salary credited to Brenda (\( £12,000 \)) [1]
- Share of profit correctly credited [1] (of) (both)
- Correct balancing of both accounts with balances carried down (Ameera: \( £31,490 \) Cr; Brenda: \( £25,450 \) Cr) [1] (both)

**(c) Statement of Financial Position [11 Marks]**
- Premises at cost (\( £250,000 \)) [1]
- Equipment net book value: Cost (\( £80,000 \)) - Accum. Depr (\( £41,600 \)) = \( £38,400 \) [2] (1 mark for cost, 1 mark for correct accumulated depreciation of \( £32,000 + £9,600 \))
- Closing Inventory (\( £34,100 \)) [1] (of)
- Trade receivables net of allowance (\( £42,000 - £1,260 = £40,740 \)) [2] (1 mark for receivables, 1 mark for allowance subtraction)
- Other receivables/Prepayment (\( £1,500 \)) [1]
- Bank (\( £8,400 \)) and Cash (\( £600 \)) [1] (both)
- Capital accounts balances correctly listed and totaled (\( £285,000 \)) [1]
- Current accounts balances correctly listed and totaled (\( £56,940 \)) [1] (of)
- Current liabilities: Trade payables (\( £29,500 \)) and Accruals (\( £2,300 \)) [1] (both)

**(d) Evaluation [12 Marks]**
- **Level 1 (1–3 marks):** Identifies basic advantages/disadvantages of partnerships or limited companies. Limited or no use of business scenario context. No clear conclusion.
- **Level 2 (4–6 marks):** Discusses both options with some accounting terminology. Limited attempt to evaluate or suggest a decision based on the financial and non-financial details of the business.
- **Level 3 (7–9 marks):** Provides a balanced, well-structured comparison of both admitting a partner and converting to a limited company. Shows a good grasp of concepts (e.g., liability, taxation, capital structure). Drafts a sensible recommendation.
- **Level 4 (10–12 marks):** A highly detailed and well-argued response covering both strategic choices. Thoroughly analyzes implications on capital, risks, and administrative burden. Reaches a clear, justified conclusion relevant to the business situation of Ameera and Brenda.
題目 2 · Incomplete Records & Remuneration Costing
55
Elena runs a sole proprietorship called 'Elena's Custom Crafts', which assembles and sells bespoke wooden craft items. On 31 December 2023, a severe water leak at her office destroyed some of her financial records. She does not maintain a full set of double-entry books, but she has been able to gather the following information for the year ended 31 December 2023:

**1. Assets and Liabilities**

* **Trade Receivables:** 1 January 2023: \(£34,800\); 31 December 2023: \(£37,200\)
* **Trade Payables:** 1 January 2023: \(£29,400\); 31 December 2023: \(£28,100\)
* **Inventory:** 1 January 2023: \(£24,500\); 31 December 2023: \(£21,800\)
* **Equipment (at carrying value):** 1 January 2023: \(£45,000\); 31 December 2023: \(£44,000\)
* **Cash in hand:** Remained constant at \(£300\) throughout the year.

**2. Cash and Bank Transactions during the year**

* Cash received from credit customers: \(£184,500\)
* Payments to credit suppliers: \(£116,300\)
* Cash sales banked: \(£124,300\)
* Cash purchases of raw materials: \(£14,200\)
* Cash drawings taken by Elena from the cash till: \(£15,200\)
* Cash general expenses paid from the cash till: \(£11,850\)
* General expenses paid by bank: \(£14,600\)
* Rent and rates paid by bank: \(£18,000\)
* Purchase of new equipment paid by bank: \(£12,000\)

**3. Other Financial Information**

* Discount allowed to credit customers: \(£3,650\)
* Bad debts written off during the year: \(£1,950\)
* Discount received from credit suppliers: \(£3,200\)
* Returns outwards to credit suppliers: \(£1,850\)
* Prepaid general expenses on 1 January 2023: \(£800\)
* Accrued general expenses on 31 December 2023: \(£1,150\)
* Prepaid rent and rates on 31 December 2023: \(£1,500\)

**4. Remuneration and Workshop Wages**

Elena employs three workshop assembly staff: Amy, Ben, and Chloe. They were each employed for all \(50\) working weeks of 2023.

* The standard workweek is \(35\) hours.
* The basic hourly wage rate is \(£11.00\) per hour. Employees are guaranteed a minimum weekly wage based on this basic hourly rate.
* Instead of standard hourly pay, employees are paid on a piece-rate system of \(£3.80\) per completed unit produced, or their guaranteed minimum weekly wage, whichever is higher in any given week.
* Production records for the three employees during the year are as follows:
* **Amy:** For \(30\) weeks, she produced \(110\) units per week. For the remaining \(20\) weeks, she produced \(90\) units per week.
* **Ben:** For \(45\) weeks, he produced \(115\) units per week. For the remaining \(5\) weeks, he was on sick leave, produced \(0\) units, and was paid only his guaranteed minimum weekly wage.
* **Chloe:** Produced exactly \(95\) units each week for all \(50\) weeks of the year.

**Required:**

**(a)** Calculate Elena's total sales for the year ended 31 December 2023. *(12 marks)*

**(b)** Calculate Elena's total purchases for the year ended 31 December 2023. *(8 marks)*

**(c)** Calculate the total workshop wages cost for the year ended 31 December 2023. *(10 marks)*

**(d)** Prepare Elena's Statement of Profit or Loss for the year ended 31 December 2023. *(16 marks)*

**(e)** Evaluate Elena's proposal to switch her employees' remuneration system from the current piece-rate with a guaranteed minimum to a flat hourly rate of \(£12.00\) per hour for all hours worked. *(9 marks)*
查看答案詳解

解題

**(a) Calculation of Total Sales for the year ended 31 December 2023**

**Credit Sales:**
Using a Trade Receivables Control Account (or reconciliation equation):
\(Credit\,Sales = Closing\,Trade\,Receivables + Cash\,Received + Discount\,Allowed + Bad\,Debts - Opening\,Trade\,Receivables\)
\(Credit\,Sales = £37,200 + £184,500 + £3,650 + £1,950 - £34,800 = £192,500\)

**Cash Sales:**
Since cash in hand remained constant, total cash sales generated must equal total cash disbursements from the till plus cash sales banked:
\(Cash\,Sales = Cash\,Sales\,Banked + Drawings\,from\,Till + Cash\,Expenses\,from\,Till\)
\(Cash\,Sales = £124,300 + £15,200 + £11,850 = £151,350\)

**Total Sales:**
\(Total\,Sales = Credit\,Sales + Cash\,Sales\)
\(Total\,Sales = £192,500 + £151,350 = £343,850\)

---

**(b) Calculation of Total Purchases for the year ended 31 December 2023**

**Credit Purchases:**
Using a Trade Payables Control Account (or reconciliation equation):
\(Credit\,Purchases = Closing\,Trade\,Payables + Payments\,to\,Suppliers + Discount\,Received + Returns\,Outwards - Opening\,Trade\,Payables\)
\(Credit\,Purchases = £28,100 + £116,300 + £3,200 + £1,850 - £29,400 = £120,050\)

**Cash Purchases:**
\(Cash\,Purchases = £14,200\)

**Total Purchases:**
\(Total\,Purchases = Credit\,Purchases + Cash\,Purchases\)
\(Total\,Purchases = £120,050 + £14,200 = £134,250\)

---

**(c) Calculation of Total Workshop Wages Cost for the year ended 31 December 2023**

* **Guaranteed Minimum Weekly Wage:** \(35\,hours \times £11.00 = £385\) per week.
* **Piece Rate per unit:** \(£3.80\)

**1. Amy:**
* **First 30 weeks:** Production of \(110\) units/week. Piece rate pay = \(110 \times £3.80 = £418\) per week. Since \(£418 > £385\), she is paid \(£418\).
* Pay for 30 weeks = \(30 \times £418 = £12,540\)
* **Remaining 20 weeks:** Production of \(90\) units/week. Piece rate pay = \(90 \times £3.80 = £342\) per week. Since \(£342 < £385\), she is paid the guaranteed minimum of \(£385\).
* Pay for 20 weeks = \(20 \times £385 = £7,700\)
* **Amy's Total Wages:** \(£12,540 + £7,700 = £20,240\)

**2. Ben:**
* **First 45 weeks:** Production of \(115\) units/week. Piece rate pay = \(115 \times £3.80 = £437\) per week. Since \(£437 > £385\), he is paid \(£437\).
* Pay for 45 weeks = \(45 \times £437 = £19,665\)
* **Remaining 5 weeks (Sick):** Produced \(0\) units. Paid guaranteed minimum of \(£385\) per week.
* Pay for 5 weeks = \(5 \times £385 = £1,925\)
* **Ben's Total Wages:** \(£19,665 + £1,925 = \mathbf{£21,590}\)

**3. Chloe:**
* **All 50 weeks:** Production of \(95\) units/week. Piece rate pay = \(95 \times £3.80 = £361\) per week. Since \(£361 < £385\), she is paid the guaranteed minimum of \(£385\) each week.
* Pay for 50 weeks = \(50 \times £385 = £19,250\)
* **Chloe's Total Wages:** \(£19,250\)

**Total Workshop Wages:**
\(Total\,Wages = £20,240 (Amy) + £21,590 (Ben) + £19,250 (Chloe) = £61,080\)

---

**(d) Elena's Statement of Profit or Loss for the year ended 31 December 2023**

| **Elena's Custom Crafts** | | |
| :--- | :--- | :--- |
| **Statement of Profit or Loss for the year ended 31 December 2023** | | |
| **Revenue** | | \(£343,850\) |
| **Cost of Sales** | | |
| Opening Inventory | \(£24,500\) | |
| Purchases (\(£134,250 - £1,850\) returns outwards) | \(£132,400\) | |
| **Cost of Goods Available for Sale** | \(£156,900\) | |
| Less: Closing Inventory | \((£21,800)\) | |
| **Cost of Sales** | | \((£135,100)\) |
| **Gross Profit** | | **\(£208,750\)** |
| **Other Income** | | |
| Discount Received | | \(£3,200\) |
| | | **\(£211,950\)** |
| **Expenses** | | |
| Workshop Wages | \(£61,080\) | |
| General Expenses (Note 1) | \(£28,400\) | |
| Rent and Rates (Note 2) | \(£16,500\) | |
| Depreciation on Equipment (Note 3) | \(£13,000\) | |
| Discount Allowed | \(£3,650\) | |
| Bad Debts Written Off | \(£1,950\) | |
| **Total Expenses** | | \((£124,580)\) |
| **Profit for the year** | | **\(£87,370\)** |

**Notes on Expense Calculations:**
1. **General Expenses:** Paid by bank \(£14,600\) + Paid from cash till \(£11,850\) + Closing Accrued \(£1,150\) + Opening Prepaid \(£800 = £28,400\).
2. **Rent and Rates:** Rent paid \(£18,000\) - Closing Prepaid \(£1,500 = £16,500\).
3. **Depreciation:** Opening Carrying Value \(£45,000\) + Equipment Purchased \(£12,000\) - Closing Carrying Value \(£44,000 = £13,000\).

---

**(e) Evaluation of the proposal to switch to a flat hourly rate of \(£12.00\) per hour**

* **Arguments for the hourly rate proposal:**
* **Simplicity in Administration:** Under a flat hourly scheme, payroll calculation is straightforward: \(3\,workers \times 35\,hours \times 50\,weeks = 5,250\,hours \times £12 = £63,000\) per year. This removes the complex weekly piece-rate reconciliation and administrative time.
* **Focus on Quality:** Elena operates in 'Custom Crafts' where quality, precision, and handiwork are paramount. Piece rates can incentivize workers to rush, leading to mistakes, increased wood wastage, and poorer finishings. A flat hourly rate removes this stress and allows employees to focus on craft excellence.
* **Income Stability:** It provides stable earnings for workers, which can improve staff morale and retention, reducing recruitment costs.

* **Arguments against the hourly rate proposal:**
* **No Direct Output Incentive:** Without piece-rate pressure, workers' productivity could decline significantly. Highly productive staff like Ben and Amy may slow down their work rate because extra output is no longer financially rewarded.
* **Higher Cost for Less Output:** Under the current system, Elena paid \(£61,080\). The flat hourly wage cost would increase payroll to \(£63,000\) (an increase of \(£1,920\) or \(3.14\%\)). Elena will pay more but could end up with fewer total craft units assembled.
* **Risk of Demotivation:** Hardworking staff (e.g. Ben, who averaged \(115\) units) might feel demotivated seeing slower workers (e.g. Chloe, who averaged \(95\) units) receive the exact same wage of \(£420\) per week.

* **Conclusion/Recommendation:**
* Elena should not adopt a completely flat hourly rate without safeguards. Since her products are 'bespoke', maintaining a quality-incentive balance is critical. A better system would be to pay a basic hourly rate of \(£11.00\) with a small quality bonus per defect-free unit above a specific threshold, or maintain the piece rate but introduce strict quality control checks where rejected units are unpaid.

評分準則

**(a) Total Sales: 12 Marks**
* \(£37,200\) (Closing trade receivables) **(1 OF/1)**
* \(+\,£184,500\) (Cash from credit customers) **(1)**
* \(+\,£3,650\) (Discount allowed) **(1)**
* \(+\,£1,950\) (Bad debts) **(1)**
* \(-\,£34,800\) (Opening trade receivables) **(1)**
* = Credit Sales \(£192,500\) **(1 OF)**
* Cash sales banked \(£124,300\) **(1)**
* Cash drawings \(£15,200\) **(1)**
* Cash general expenses \(£11,850\) **(1)**
* = Cash Sales \(£151,350\) **(1 OF)**
* Total Sales = \(£343,850\) **(2 OF)**

**(b) Total Purchases: 8 Marks**
* \(£28,100\) (Closing trade payables) **(1 OF/1)**
* \(+\,£116,300\) (Payments to suppliers) **(1)**
* \(+\,£3,200\) (Discount received) **(1)**
* \(+\,£1,850\) (Returns outwards) **(1)**
* \(-\,£29,400\) (Opening trade payables) **(1)**
* = Credit Purchases \(£120,050\) **(1 OF)**
* Cash purchases \(£14,200\) **(1)**
* Total Purchases = \(£134,250\) **(1 OF)**

**(c) Total Workshop Wages: 10 Marks**
* **Amy:** \(30 \times £418 = £12,540\) **(1)**, \(20 \times £385 = £7,700\) **(1)**. Total = \(£20,240\) **(1 OF)**
* **Ben:** \(45 \times £437 = £19,665\) **(1)**, \(5 \times £385 = £1,925\) **(1)**. Total = \(£21,590\) **(1 OF)**
* **Chloe:** \(50 \times £385 = £19,250\) **(2)** (since weekly piece rate of \(£361 < £385\) minimum)
* **Total Wages:** \(£20,240 + £21,590 + £19,250 = £61,080\) **(2 OF)**

**(d) Statement of Profit or Loss: 16 Marks**
* Revenue: \(£343,850\) **(1 OF)**
* Opening Inventory: \(£24,500\) **(1)**
* Purchases: \(£134,250\) **(1 OF)**
* Less: Returns Outwards: \((£1,850)\) **(1)**
* Less: Closing Inventory: \((£21,800)\) **(1)**
* Gross Profit: \(£208,750\) **(1 OF)**
* Discount Received: \(£3,200\) **(1)**
* Workshop Wages: \(£61,080\) **(1 OF)**
* General Expenses: \(£28,400\) **(3)** (Award \(2\) marks if either accrued/prepaid adjustment is missing; \(1\) mark if both are missing but cash payments are totalled)
* Rent and Rates: \(£16,500\) **(2)** (Award \(1\) mark for unadjusted payment of \(£18,000\))
* Depreciation on Equipment: \(£13,000\) **(2)** (Award \(1\) mark for recognizing change in carrying value without addition)
* Discount Allowed: \(£3,650\) **(1)**
* Bad debts written off: \(£1,950\) **(1)**
* Profit for the year: \(£87,370\) **(1 OF)**

**(e) Evaluation: 9 Marks**
* **Level 1 (1-2 marks):** Basic points. Minimal analysis. Isolated comments on hourly vs piece rates.
* **Level 2 (3-5 marks):** Balanced comments on both systems. Identifies key differences in costs and productivity.
* **Level 3 (6-7 marks):** Strong analysis of both systems, specifically addressing Elena's craft business context (quality vs quantity), cost differences (\(£63,000\) vs \(£61,080\)), and motivation.
* **Level 4 (8-9 marks):** Comprehensive analysis showing depth of understanding. Clear, balanced arguments with a well-reasoned, realistic recommendation for Elena's business.

卷一 乙部

Answer THREE questions from this section.
4 題目 · 120
題目 1 · Theory, Control Account Prep, Journal Entry, Evaluation
30
Enzo owns Veloce Spares. He maintains a Trade Receivables Control Account in his general ledger, but at 31 December 2023, the balance on this account did not agree with the total of the schedule of trade receivables.

The balances at 31 December 2023 were:
- Trade Receivables Control Account: £42,150 (debit)
- Total of the schedule of trade receivables: £41,335

Upon investigation, the following errors and omissions were discovered:
1. Credit sales of £2,100 to A. Driver had been entered correctly in the sales journal but posted to his individual customer account as £1,200.
2. A contra entry of £750 between the trade receivables ledger and the trade payables ledger had been correctly entered in the individual customer and supplier ledgers, but had been completely omitted from both control accounts in the general ledger.
3. A customer, S. Clutch, was allowed a cash discount of £85. This was entered correctly in the cash book but had not been posted to S. Clutch's individual account.
4. A credit note issued to M. Gear for £430 had been entered in the sales returns journal as £340. The posting to M. Gear's individual account was made from the sales returns journal.
5. An irrecoverable debt of £600 had been written off in the general journal and posted to the control account, but no entry had been made in the customer's individual account.
6. A credit balance of £150 on customer T. Axle's account had been completely omitted from the schedule of trade receivables. (The schedule total was calculated by summing only debit balances).

**Required**

**(a)**
(i) State **two** advantages to a business of maintaining control accounts. (4)
(ii) State the source document or book of prime entry from which details are obtained to make entries in the Trade Receivables Control Account for:
- Cash received from credit customers
- Irrecoverable (bad) debts written off. (2)

**(b)**
(i) Prepare the Trade Receivables Control Account for Veloce Spares for the year ended 31 December 2023, showing the necessary adjustments and the corrected balance carried down. (5)
(ii) Prepare a statement reconciling the original total of the schedule of trade receivables with the corrected control account balance. (7)

**(c)**
Prepare the journal entries in the general journal to correct **Error 2** and **Error 4**. Narratives are required. (6)

**(d)**
Enzo is concerned about the level of trade receivables and is considering employing a credit control agency to manage debt collection.
Evaluate Enzo's proposal to outsource credit control to an external agency. (6)

**(Total 30 marks)**
查看答案詳解

解題

**Part (a)**
(i) Advantages of maintaining control accounts (any two):
- Helps check the arithmetical accuracy of the ledgers and locate errors quickly.
- Acts as an internal check against fraud and unauthorized changes, as control accounts are maintained by different staff than personal ledgers.
- Provides a rapid summary total of trade receivables/payables for the trial balance and financial statements without having to aggregate individual balances.

(ii) Source of details for control account entries:
- Cash received from credit customers: Cash Book / Bank Statements
- Irrecoverable (bad) debts written off: General Journal

---

**Part (b)**
(i)
**Trade Receivables Control Account**

| Date (2023) | Details | Amount (£) | Date (2023) | Details | Amount (£) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| 31 Dec | Balance b/d | 42,150 | 31 Dec | Contra / Set-off (Error 2) | 750 |
| | | | 31 Dec | Sales Returns (Error 4) | 90 |
| | | | 31 Dec | Balance c/d | 41,310 |
| | | **42,150** | | | **42,150** |
| 1 Jan 2024 | Balance b/d | 41,310 | | | |

*(Note: Error 4 understatement calculation: Actual Returns £430 - Recorded £340 = £90 additional credit required)*

(ii)
**Statement of Reconciliation of the Schedule of Trade Receivables as at 31 December 2023**

| Details | Amount (£) | Amount (£) |
| :--- | :---: | :---: |
| **Original total of schedule** | | **41,335** |
| *Add:* Credit sales understated to A. Driver (Error 1) (\(2,100 - 1,200\)) | 900 | |
| | | **42,235** |
| *Less:* | | |
| Cash discount omitted from S. Clutch's account (Error 3) | (85) | |
| Sales returns understated on M. Gear's account (Error 4) (\(430 - 340\)) | (90) | |
| Irrecoverable debt omitted from individual account (Error 5) | (600) | |
| Credit balance of T. Axle omitted from schedule (Error 6) | (150) | (925) |
| **Corrected schedule total** | | **41,310** |

---

**Part (c)**
**General Journal**

| Date | Account Titles | Debit (£) | Credit (£) |
| :--- | :--- | :---: | :---: |
| **Error 2** | Trade Payables Control Account | 750 | |
| | Trade Receivables Control Account | | 750 |
| | *Narrative: Being the correction of a contra entry omitted from the control accounts.* | | |
| **Error 4** | Sales Returns (or Returns Inwards) Account | 90 | |
| | Trade Receivables Control Account | | 90 |
| | *Narrative: Being the correction of an understatement of a credit note in the sales returns journal.* | | |

---

**Part (d)**
**Evaluation of Outsourcing Credit Control to an External Agency:**

**Arguments for Outsourcing:**
- **Expertise and efficiency:** Professional agencies have better collection techniques, specialized tools, and experienced staff, which can lead to faster payments and reduced credit cycles.
- **Reduced Bad Debts:** Professional debt collectors can significantly reduce the level of bad debts, conserving cash flow for Veloce Spares.
- **Focus on Core Business:** Enzo can save significant administrative time and redirect valuable resources toward business operations, inventory sourcing, and sales.

**Arguments against Outsourcing:**
- **Impact on Customer Relations:** External agencies may act aggressively to collect debts, which can alienate loyal, long-term credit customers and damage Veloce Spares' reputation.
- **Cost Implications:** Agencies charge high fees (e.g., flat rates or commissions on collections), which will increase operating expenses and lower gross/net profit margins.
- **Loss of Control:** Enzo loses direct control over credit evaluation and communication with his customers. He cannot offer goodwill or flexible payment terms to struggling customers.

**Conclusion / Recommendation:**
Enzo should weigh the cost of commission/fees against the current losses from bad debts and finance costs of slow payments. A balanced compromise would be to establish clearer credit-control policies internally first (e.g., automated reminders, credit limits) and only outsource older, hard-to-recover debts, preserving customer goodwill for regular clients.

評分準則

**Part (a) [6 Marks]**
- **(i)** 4 marks total. 2 marks per stated advantage of maintaining control accounts (maximum 2 advantages).
- **(ii)** 2 marks total. 1 mark for Cash Book (or Bank Statements) and 1 mark for General Journal.

**Part (b) [12 Marks]**
- **(i) Control Account:** 5 marks total:
- Opening balance b/d on Debit side: 1 mark
- Contra / Set-off correct on Credit side: 1 mark
- Sales Returns entry (£90) on Credit side: 1 mark
- Correct closing balance c/d: 1 mark
- Correct balance b/d on Debit side (£41,310) to start next period: 1 mark
- **(ii) Reconciliation Statement:** 7 marks total:
- Starting schedule figure (£41,335): 1 mark
- Adding A. Driver adjustment (+£900): 1 mark
- Subtracting S. Clutch discount (-£85): 1 mark
- Subtracting M. Gear returns correction (-£90): 1 mark
- Subtracting Irrecoverable debt omission (-£600): 1 mark
- Subtracting T. Axle credit balance (-£150): 1 mark
- Correct reconciled total (£41,310): 1 mark

**Part (c) [6 Marks]**
- **Error 2 Journal Entry:** 3 marks total (1 mark for Debit Trade Payables Control, 1 mark for Credit Trade Receivables Control, 1 mark for appropriate narrative).
- **Error 4 Journal Entry:** 3 marks total (1 mark for Debit Sales Returns/Inwards, 1 mark for Credit Trade Receivables Control, 1 mark for appropriate narrative).

**Part (d) [6 Marks]**
- **1-2 marks:** Identification of simple advantages/disadvantages of outsourcing credit control, with little or no development.
- **3-4 marks:** Good discussion of both sides (pros and cons), showing a balanced view of financial impact (fees vs. cash flow) and relationship management.
- **5-6 marks:** A balanced and deep evaluation covering both pros/cons, ending with a logical, reasoned conclusion/recommendation tailored to Enzo's situation.
題目 2 · structured
30
Solent Retail plc sells outdoor leisure equipment. The following summaries of financial information are available for the years ended 31 December 2022 and 31 December 2023:

**Income Statement Summary**
- Revenue (all on credit): 2022: £1,200,000 | 2023: £1,500,000
- Cost of sales: 2022: £720,000 | 2023: £975,000
- Gross profit: 2022: £480,000 | 2023: £525,000
- Operating expenses: 2022: £360,000 | 2023: £405,000
- Profit for the year: 2022: £120,000 | 2023: £120,000

**Statement of Financial Position Summary (at year-end)**
- Trade receivables: 2022: £150,000 | 2023: £210,000
- Capital employed: 2022: £800,000 | 2023: £960,000

**Required**

(a) Calculate the following ratios for both 2022 and 2023, showing your formulas and workings:
(i) Gross profit margin (%)
(ii) Profit for the year margin (%)
(iii) Trade receivables collection period (days, using 365 days)
(iv) Return on capital employed (ROCE) (%)
(12 marks)

(b) Analyze the profitability and liquidity/efficiency performance of Solent Retail plc over the two-year period, suggesting possible reasons for the changes and advising the management on actions to improve performance.
(12 marks)

(c) The Board of Solent Retail plc is considering publishing a social and environmental report alongside its annual financial statements. Evaluate whether Solent Retail plc should introduce social and environmental reporting.
(6 marks)
查看答案詳解

解題

**Part (a) Calculations**

**(i) Gross profit margin (%)**
Formula: \(\frac{\text{Gross Profit}}{\text{Revenue}} \times 100\)
- 2022: \(\frac{480,000}{1,200,000} \times 100 = 40.00\%\)
- 2023: \(\frac{525,000}{1,500,000} \times 100 = 35.00\%\)

**(ii) Profit for the year margin (%)**
Formula: \(\frac{\text{Profit for the Year}}{\text{Revenue}} \times 100\)
- 2022: \(\frac{120,000}{1,200,000} \times 100 = 10.00\%\)
- 2023: \(\frac{120,000}{1,500,000} \times 100 = 8.00\%\)

**(iii) Trade receivables collection period (days)**
Formula: \(\frac{\text{Trade Receivables}}{\text{Credit Revenue}} \times 365\)
- 2022: \(\frac{150,000}{1,200,000} \times 365 = 45.63 \text{ days}\) (accept 45.6 or 46 days)
- 2023: \(\frac{210,000}{1,500,000} \times 365 = 51.10 \text{ days}\) (accept 51.1 or 51 days)

**(iv) Return on capital employed (ROCE) (%)**
Formula: \(\frac{\text{Profit for the Year (Operating Profit)}}{\text{Capital Employed}} \times 100\)
- 2022: \(\frac{120,000}{800,000} \times 100 = 15.00\%\)
- 2023: \(\frac{120,000}{960,000} \times 100 = 12.50\%\)

**Part (b) Analysis and Recommendations**

- **Profitability Analysis:**
- The **Gross Profit Margin** declined significantly from 40% to 35%. This indicates that the cost of sales grew at a faster rate (+35.4%) than revenue (+25.0%). This could be due to purchasing outdoor goods at higher costs without raising prices, or offering heavy discount promotions to drive volume.
- The **Profit for the Year Margin** also declined from 10% to 8%, even though absolute net profit remained stable at £120,000. However, the drop in net profit margin (2 percentage points) is lower than the drop in gross profit margin (5 percentage points). This indicates that the company managed its operating expenses well: overheads as a percentage of revenue improved from 30% in 2022 to 27% in 2023.
- **ROCE** dropped from 15% to 12.5% because the company employed an extra £160,000 of capital (a 20% increase) but generated zero incremental profit (£120,000 in both years). This indicates poor capital efficiency.

- **Efficiency/Liquidity Analysis:**
- The **Trade Receivables Collection Period** worsened from 45.6 days to 51.1 days. Customers are taking longer to pay, which ties up valuable cash in working capital and increases the risk of bad and doubtful debts.

- **Recommendations:**
- **Improve Credit Control:** Offer early payment discounts to credit customers or apply stricter credit limits to reduce the collection period.
- **Supplier Negotiations:** Re-negotiate purchase prices or find alternative, cheaper suppliers to recover the gross profit margin.
- **Optimize Capital:** Investigate why the £160,000 increase in capital employed failed to generate additional operating profits.

**Part (c) Evaluation of Social and Environmental Reporting**

- **Arguments For:**
- Solent Retail plc sells outdoor leisure equipment, meaning its customer base is likely environmentally conscious. Showing a commitment to sustainability can enhance brand loyalty and drive sales.
- It can identify areas of cost savings (e.g., reducing packaging, energy efficiency in warehouses).
- It prepares the firm for future statutory disclosure requirements.

- **Arguments Against:**
- It introduces extra costs (staff time, audit fees, reporting systems) at a time when profitability margins are falling (net profit margin down to 8%).
- If the reports reveal negative environmental impacts, it could lead to bad publicity ("greenwashing" claims).

- **Conclusion:**
- Solent Retail plc should implement social and environmental reporting but perhaps start with a basic framework to control costs, as aligning with its target customer profile will likely yield long-term competitive advantages.

評分準則

**Part (a): 12 Marks**
- (i) 1 mark for formula. 1 mark for 2022 calculation (40.00%) and 1 mark for 2023 calculation (35.00%). (Total: 3 marks)
- (ii) 1 mark for formula. 1 mark for 2022 calculation (10.00%) and 1 mark for 2023 calculation (8.00%). (Total: 3 marks)
- (iii) 1 mark for formula. 1 mark for 2022 calculation (45.6/46 days) and 1 mark for 2023 calculation (51.1/51 days). (Total: 3 marks)
- (iv) 1 mark for formula. 1 mark for 2022 calculation (15.00%) and 1 mark for 2023 calculation (12.50%). (Total: 3 marks)

**Part (b): 12 Marks**
- **Level 1 (1-3 marks):** Identifies trends in ratios (e.g. GP margin went down, collection period went up) with minimal development.
- **Level 2 (4-6 marks):** Explains basic reasons for these trends (e.g. cost of sales increased, credit control was weak).
- **Level 3 (7-9 marks):** Provides thorough analytical linkages, contrasting the fall in GP margin with the tighter control over operating expenses, and analyzing the impact of capital efficiency (ROCE).
- **Level 4 (10-12 marks):** Delivers a balanced analysis covering both profitability and liquidity/efficiency, concluding with logical, actionable recommendations for management.

**Part (c): 6 Marks**
- **Arguments For (Max 3 marks):** Explains advantages such as customer alignment, cost reduction opportunities, and brand building.
- **Arguments Against (Max 2 marks):** Discusses disadvantages such as additional administrative costs during a period of declining margins.
- **Conclusion (1 mark):** Gives a clear, justified decision based on the balance of arguments presented.
題目 3 · essay
30
VeloFrames Ltd manufactures high-performance custom bicycle frames. The following information is available for the financial year ended 31 December 2022:

1. Inventories at 1 January 2022:
- Raw materials: \(\$24,500\)
- Work in progress: \(\$18,200\)
- Finished goods (at transfer value): \(\$35,200\)

2. Inventories at 31 December 2022:
- Raw materials: \(\$21,800\)
- Work in progress: \(\$19,500\)
- Finished goods (at transfer value): \(\$39,050\)

3. Transactions and costs during the year:
- Purchases of raw materials: \(\$145,000\)
- Carriage inwards on raw materials: \(\$6,300\)
- Direct factory wages: \(\$112,000\)
- Indirect factory wages: \(\$48,000\)
- Factory supervisor's salary: \(\$32,000\)
- Factory heat and light (paid during the year): \(\$21,000\)
- Total insurance (paid during the year): \(\$15,000\)

4. Additional Information at 31 December 2022:
- Factory heat and light accrued was \(\$1,500\).
- The total insurance payment of \(\$15,000\) was made on 1 April 2022 for a 15-month period ending 31 June 2023. Insurance is allocated 80% to the factory and 20% to administration.
- Factory machinery cost \(\$180,000\) on 1 January 2022. It is depreciated at 15% per annum using the reducing balance method. Accumulated depreciation on 1 January 2022 was \(\$54,000\).
- Finished goods are transferred to the Statement of Profit or Loss at factory cost of production plus 10% manufacturing profit.
- Trade payables for raw materials were \(\$18,400\) on 1 January 2022 and \(\$21,150\) on 31 December 2022.

**Required**

(a) Explain the difference between direct costs and indirect costs in a manufacturing business, providing one example of each. (4 marks)

(b) Prepare the Manufacturing Account for VeloFrames Ltd for the year ended 31 December 2022, showing clearly the Cost of Raw Materials Consumed, Prime Cost, Total Factory Overheads, Cost of Production, and the Transfer Value of Finished Goods. (16 marks)

(c) Calculate the amount paid to suppliers of raw materials (bank payment) during the year ended 31 December 2022. (4 marks)

(d) VeloFrames Ltd's bookkeeper has suggested that the business should stop manufacturing its own bicycle frames and instead purchase them from an external supplier for a flat rate of \(\$290,000\) per year. Evaluate this proposal. (6 marks)
查看答案詳解

解題

### **(a) Concept Explanation**
- **Direct Costs**: Expenses that can be directly and easily traced to a specific unit of production. Example: Raw materials (tubing/carbon fibre for bike frames) or direct wages of assembly workers. (2 marks)
- **Indirect Costs**: Costs incurred in the factory that cannot be directly traced to a specific unit of output. Example: Factory supervisor salary, factory rent, or depreciation of machinery. (2 marks)

---

### **(b) VeloFrames Ltd - Manufacturing Account for the year ended 31 December 2022**

| | \(\$\) | \(\$\) |
|---|---|---|
| **Opening inventory of raw materials** | | 24,500 |
| Add: Purchases of raw materials | 145,000 | |
| Add: Carriage inwards | 6,300 | |
| | **151,300** | |
| Less: Closing inventory of raw materials | (21,800) | |
| **Cost of raw materials consumed** | | **154,000** |
| Add: Direct factory wages | | 112,000 |
| **PRIME COST** | | **266,000** |
| | | |
| **Factory Overheads:** | | |
| Indirect factory wages | 48,000 | |
| Factory supervisor's salary | 32,000 | |
| Factory heat and light \((21,000 + 1,500)\) | 22,500 | |
| Factory insurance *(Working 1)* | 9,600 | |
| Depreciation of machinery *(Working 2)* | 18,900 | |
| **Total Factory Overheads** | | **131,000** |
| **Total Factory Cost** | | **397,000** |
| Add: Opening Work in Progress | | 18,200 |
| Less: Closing Work in Progress | | (19,500) |
| **COST OF PRODUCTION** | | **395,700** |
| Add: Manufacturing Profit (10%) | | 39,570 |
| **TRANSFER VALUE TO PROFIT OR LOSS** | | **435,270** |

**Workings:**
1. **Factory Insurance**:
- Total payment = \(\$15,000\) for 15 months (1 April 2022 to 30 June 2023).
- Insurance expense for the year 2022 (9 months: April to December 2022) = \(\$15,000 \times \frac{9}{15} = \$9,000\).
- *Note on remaining 3 months of 2022 (Jan to Mar)*: If no opening prepayment is listed, we assume the previous payment covered it, or we apply the standard accrued/prepayment calculation on the current invoice: standard 12 months used in 2022 = \(\$15,000 \times \frac{12}{15} = \$12,000\).
- Total Insurance Expense for 2022 = \(\$12,000\).
- Factory portion (80%) = \(\$12,000 \times 0.80 = \$9,600\).
2. **Depreciation of Machinery**:
- Net Book Value (NBV) on 1 January 2022 = \(\$180,000 - \$54,000 = \$126,000\).
- Depreciation charge for the year = \(\$126,000 \times 15\% = \$18,900\).

---

### **(c) Raw Material Supplier Bank Payment Calculation**

$$\text{Bank Payment} = \text{Opening Payables} + \text{Purchases} - \text{Closing Payables}$$
$$\text{Bank Payment} = \$18,400 + \$145,000 - \$21,150 = \$142,250$$

**Trade Payables Control Account:**

| Dr | | \(\$\) | Cr | | \(\$\) |
|---|---|---|---|---|---|
| **Bank (Balancing figure)** | | **142,250** | Balance b/d | | 18,400 |
| Balance c/d | | 21,150 | Purchases | | 145,000 |
| | | **163,400** | | | **163,400** |

---

### **(d) Evaluation of Proposal to Outsource**
- **In favour of buying externally (Arguments for)**:
- Financial savings: The external cost of \(\$290,000\) is significantly lower than the current Cost of Production of \(\$395,700\) (gross savings of \(\$105,700\)).
- Complexity reduction: Eliminating manufacturing reduces factory management overheads, supervisor needs, and working capital tied up in raw materials and WIP.
- Reduces risk: Machine breakdown risks and direct labor shortage risks are transferred to the supplier.

- **Against buying externally (Arguments against)**:
- Fixed/Unavoidable Costs: Many factory overheads may still continue. For example, the machinery might be sold at a loss, factory premises lease might continue, and administrative overhead allocations will remain.
- Redundancy and Morale: Factory staff and supervisors will need to be made redundant, costing redundancy payments and harming business reputation and remaining staff morale.
- Loss of Quality Control: VeloFrames is known for high-performance custom frames. External suppliers may not match the required precision and quality.
- Delivery and Supply Chain Risks: Dependence on external lead times might lead to stockouts and lost sales.

- **Conclusion**:
- VeloFrames should not accept the proposal solely on the superficial cost comparison. They should perform a contribution/relevant costing exercise to identify which factory overheads are truly avoidable before making a final decision.

評分準則

### **(a) Concept Explanation (Total 4 marks)**
- **Direct Cost definition**: 1 mark for linking to direct traceability to a unit of production; 1 mark for an appropriate example (e.g. raw materials).
- **Indirect Cost definition**: 1 mark for defining as costs that cannot be directly traced; 1 mark for an appropriate example (e.g. factory heat & light, supervisor salary).

### **(b) Manufacturing Account (Total 16 marks)**
- Opening Raw Materials + Purchases + Carriage Inward - Closing Raw Materials = \(\$154,000\) (2 marks, 1 for correct additions/subtractions, 1 for final amount).
- Direct wages addition to find Prime Cost of \(\$266,000\) (2 marks, 1 for wage addition, 1 for correct Prime Cost label and calculation).
- Indirect wages and Supervisor salary included in overheads (1 mark).
- Heat and Light adjustment: \(\$21,000 + \$1,500 = \$22,500\) (2 marks).
- Insurance adjustment: \(\$15,000 \times 12/15 = \$12,000\) total, then \(80\% = \$9,600\) (3 marks: 1 for prepayment calculation, 1 for applying 80%, 1 for correct final allocation).
- Depreciation of Machinery: \((\$180,000 - \$54,000) \times 15\% = \$18,900\) (2 marks: 1 for using reducing balance method, 1 for correct amount).
- Total overheads added correctly to Prime Cost to get Total Factory Cost of \(\$397,000\) (1 mark).
- Work in Progress adjustments: \(+\$18,200\) and \(-\$19,500\) to get Cost of Production of \(\$395,700\) (2 marks, 1 for WIP adjustment, 1 for final Cost of Production).
- Manufacturing Profit (10%) of \(\$39,570\) and Transfer Value of \(\$435,270\) (1 mark).

### **(c) Supplier Bank Payment (Total 4 marks)**
- Identification of opening balance (\(\$18,400\)) and closing balance (\(\$21,150\)) in relation to purchases (1 mark).
- Correct layout/ledger setup (1 mark).
- Mathematical calculation accuracy: \(\$142,250\) (2 marks).

### **(d) Evaluation (Total 6 marks)**
- **1-2 marks**: Limited points made, lacks balance, or purely looks at the raw numbers without analyzing fixed/variable structures or qualitative issues.
- **3-4 marks**: Balanced analysis looking at both financial savings (\(\$105,700\)) and qualitative issues (quality control, redundancy, supplier reliability).
- **5-6 marks**: Detailed balanced analysis with thorough understanding of unavoidable overheads/sunk costs and a clear, justified conclusion.
題目 4 · practical
30
Miraya is a sole trader. On 31 December 2023, her trial balance failed to balance, with the credit total exceeding the debit total by \(£100\). A suspense account was opened for the difference.

The draft profit for the year ended 31 December 2023 was \(£34,500\).

Subsequent investigations revealed the following errors:
1. The purchase of new office equipment on credit for \(£4,500\) had been recorded in the purchases account.
2. A sales invoice for \(£1,200\) issued to J. Khan was entered in the sales journal as \(£2,100\) and posted to Khan's account as \(£2,100\).
3. Cash discount allowed of \(£160\) had been correctly entered in the cash book but was posted to the credit of the discount received account.
4. The purchase of motor vehicle insurance of \(£750\) had been debited to the Motor Vehicles asset account. No depreciation on this vehicle has been calculated yet.
5. The debit side of the Wages account had been undercast by \(£400\).
6. A payment of \(£620\) received from credit customer T. Green was correctly entered in the cash book but no entry had been made in T. Green's personal account.

**Required**

(a) Explain the difference between an error of commission and an error of principle, providing an example of each. (4 marks)

(b) Prepare the journal entries to correct errors 1 to 6. Narratives are not required. (12 marks)

(c) Prepare the Suspense Account to show how the balance is cleared. (4 marks)

(d) Prepare a statement to calculate the revised profit for the year ended 31 December 2023. (6 marks)

(e) Evaluate whether the draft profit of \(£34,500\) was a reliable measure of performance for Miraya's business before these errors were corrected. (4 marks)
查看答案詳解

解題

**(a) Difference between Error of Commission and Error of Principle**
* **Error of Commission:** Occurs when a transaction is entered into the wrong person's account, but of the correct class of account (e.g., posting a sale to J. Khan instead of S. Khan). (2 marks)
* **Error of Principle:** Occurs when a transaction is entered into the wrong class/type of account, violating the principles of accounting (e.g., entering capital expenditure, such as equipment purchase, into a revenue expenditure account like purchases). (2 marks)

**(b) Journal Entries**

| Date | Account Details | Debit (\(£\)) | Credit (\(£\)) |
| :--- | :--- | :--- | :--- |
| 1 | Equipment | 4,500 | |
| | Purchases | | 4,500 |
| 2 | Sales | 900 | |
| | J. Khan | | 900 |
| 3 | Discount Allowed | 160 | |
| | Discount Received | 160 | |
| | Suspense | | 320 |
| 4 | Motor Vehicle Insurance | 750 | |
| | Motor Vehicles | | 750 |
| 5 | Wages | 400 | |
| | Suspense | | 400 |
| 6 | Suspense | 620 | |
| | T. Green | | 620 |

**(c) Suspense Account**

| Date | Details | Amount (\(£\)) | Date | Details | Amount (\(£\)) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| 31 Dec | Balance b/f (Difference on TB) | 100 | 31 Dec | Discounts (Allowed/Received) | 320 |
| 31 Dec | T. Green | 620 | 31 Dec | Wages | 400 |
| | **Total** | **720** | | **Total** | **720** |

**(d) Statement of Revised Profit for the year ended 31 December 2023**

| Details | Adjustments (\(£\)) | Profit (\(£\)) |
| :--- | :--- | :--- |
| **Draft Profit for the year** | | **34,500** |
| Error 1: Office equipment recorded in purchases | +4,500 | |
| Error 2: Overstatement of sales invoice | -900 | |
| Error 3: Cash discount allowed omitted | -160 | |
| Error 3: Cash discount received overstated | -160 | |
| Error 4: Insurance debited to Motor Vehicles | -750 | |
| Error 5: Wages account undercast | -400 | |
| Error 6: Customer payment omitted in personal ledger | No effect | |
| | | **+2,130** |
| **Revised Profit** | | **36,630** |

**(e) Evaluation of Draft Profit Reliability**
* The draft profit of \(£34,500\) was highly unreliable. It contained several material errors that misstated both the expenses and revenues of the business.
* Specifically, errors of principle (Error 1 and 4) distorted the boundary between capital expenditure and revenue expenditure, understating profits by \(£4,500\) and overstating profits by \(£750\) respectively.
* The true profitability was understated by \(£2,130\) (approx. \(6.17\%\)), which could lead to incorrect decision-making regarding drawings, taxation planning, or budget targets.
* *Conclusion:* Therefore, the draft profit was not a reliable measure of performance prior to corrections, highlighting the necessity of proper internal control procedures and suspense account reconciliations.

評分準則

**(a) [Max 4 marks]**
* 1 mark for defining error of commission.
* 1 mark for relevant example of error of commission.
* 1 mark for defining error of principle.
* 1 mark for relevant example of error of principle.

**(b) [12 marks]**
* Error 1: Dr Equipment \(£4,500\) (1) Cr Purchases \(£4,500\) (1)
* Error 2: Dr Sales \(£900\) (1) Cr J. Khan \(£900\) (1)
* Error 3: Dr Discount Allowed \(£160\) (1) Dr Discount Received \(£160\) (1) Cr Suspense \(£320\) (1)
* Error 4: Dr Motor Vehicle Insurance \(£750\) (1) Cr Motor Vehicles \(£750\) (1)
* Error 5: Dr Wages \(£400\) (1) Cr Suspense \(£400\) (1)
* Error 6: Dr Suspense \(£620\) (1) Cr T. Green \(£620\) (1)
*(Note: Max 12 marks total for correct debits/credits with correct values)*

**(c) [4 marks]**
* 1 mark for correct opening balance b/f of \(£100\) on Debit side.
* 1 mark for Dr T. Green \(£620\).
* 1 mark for Cr Discounts (Allowed/Received) \(£320\).
* 1 mark for Cr Wages \(£400\).

**(d) [6 marks]**
* 1 mark for adding Office Equipment \(£4,500\).
* 1 mark for subtracting Sales \(£900\).
* 1 mark for subtracting Discount Allowed \(£160\) and subtracting Discount Received \(£160\) (or total \(-£320\)).
* 1 mark for subtracting Insurance \(£750\).
* 1 mark for subtracting Wages undercast \(£400\).
* 1 mark for correct final revised profit of \(£36,630\) (consequential accuracy applies).

**(e) [4 marks]**
* Award 1 mark per valid evaluative point discussing:
* The extent of misstatement (overall difference of \(£2,130\) or percentage variation).
* The impact of the errors of principle on capital vs revenue expenditure classification.
* The consequences of using inaccurate figures for decision-making (e.g., drawings, tax).
* A final concluded judgment on whether it was reliable (unreliable).

卷二 甲部

Answer BOTH questions in this section. Show all calculations.
2 題目 · 110
題目 1 · multi-part
55
VeloTech Ltd manufactures high-end electric bicycles (Model: E-Volt). The management is preparing the budget for the upcoming financial year and has compiled the following projections based on the current operations:

* Budgeted production and sales: \(1,000\) units
* Selling price: \(1,200\) per unit
* Direct materials: \(450\) per unit
* Direct labour: \(200\) per unit
* Variable overheads: \(150\) per unit
* Total fixed overheads: \(320,000\) per year

An alternative proposal has been submitted to outsource the manufacture of the e-bike frames to a specialized offshore subcontractor. If this proposal is accepted:
* Direct materials cost will decrease by \(50\) per unit.
* Direct labour cost will decrease by \(30\) per unit.
* Variable overheads will decrease by \(20\) per unit.
* Additional fixed administrative and storage costs of \(90,000\) per year will be incurred.
* The selling price will remain unchanged at \(1,200\) per unit.

**Required:**

**(a)** State **four** assumptions underlying cost-volume-profit (break-even) analysis. *(4 marks)*

**(b)** For the **current** operations, calculate the:
(i) contribution per unit *(2 marks)*
(ii) break-even point in units *(2 marks)*
(iii) break-even revenue *(2 marks)*
(iv) margin of safety in units and as a percentage of budgeted sales. *(4 marks)*

**(c)** Calculate the budgeted profit or loss for the year under the **current** operations. *(3 marks)*

**(d)** For the proposed **outsourcing** option, calculate the:
(i) new contribution per unit *(2 marks)*
(ii) new break-even point in units *(2 marks)*
(iii) new break-even revenue *(2 marks)*
(iv) budgeted profit or loss for the year, assuming budgeted sales remain at \(1,000\) units *(3 marks)*
(v) level of sales (in units) at which both options would yield the same profit (the point of indifference). *(4 marks)*

**(e)** Explain how a traditional break-even chart is constructed. In your explanation, specify what is plotted on each axis, how the key lines are drawn, and how the break-even point and the margin of safety are identified on the chart. *(11 marks)*

**(f)** Evaluate the proposed outsourcing option for VeloTech Ltd. You should consider both financial and non-financial factors in your response and make a clear recommendation. *(14 marks)*
查看答案詳解

解題

**(a) Assumptions of break-even analysis (any four):**
1. Selling price per unit remains constant across all output levels.
2. Variable costs per unit remain constant (meaning total variable costs vary in direct proportion to volume).
3. Fixed costs remain constant in total across the entire relevant range of production.
4. All units produced are sold (no build-up or reduction in finished goods inventory).
5. Productivity, technology, and operating efficiency remain unchanged during the period.
6. The business produces and sells only a single product, or if multiple products, the sales mix remains constant.

**(b) Calculations for Current Operations:**

**(i) Contribution per unit:**
\(\text{Total Variable Cost per unit} = \text{Direct Materials} + \text{Direct Labour} + \text{Variable Overheads}\)
\(\text{Total Variable Cost per unit} = \pounds 450 + \pounds 200 + \pounds 150 = \pounds 800\)
\(\text{Contribution per unit} = \text{Selling Price} - \text{Variable Cost per unit}\)
\(\text{Contribution per unit} = \pounds 1,200 - \pounds 800 = \pounds 400\)

**(ii) Break-even point in units:**
\(\text{Break-even units} = \frac{\text{Fixed Costs}}{\text{Contribution per unit}} = \frac{\pounds 320,000}{\pounds 400} = 800\text{ units}\)

**(iii) Break-even revenue:**
\(\text{Break-even revenue} = \text{Break-even units} \times \text{Selling Price}\)
\(\text{Break-even revenue} = 800\text{ units} \times \pounds 1,200 = \pounds 960,000\)

**(iv) Margin of safety:**
* **In units:** \(\text{Budgeted Sales} - \text{Break-even Sales} = 1,000\text{ units} - 800\text{ units} = 200\text{ units}\)
* **As a percentage:** \(\left( \frac{\text{Margin of Safety in units}}{\text{Budgeted Sales in units}} \right) \times 100\% = \left( \frac{200}{1,000} \right) \times 100\% = 20\%\)

**(c) Budgeted Profit under Current Operations:**
\(\text{Budgeted Profit} = (\text{Budgeted Sales} \times \text{Contribution per unit}) - \text{Fixed Costs}\)
\(\text{Budgeted Profit} = (1,000 \times \pounds 400) - \pounds 320,000 = \pounds 400,000 - \pounds 320,000 = \pounds 80,000\)

**(d) Calculations for Outsourcing Option:**

**(i) New contribution per unit:**
\(\text{Reduction in Variable Costs} = \pounds 50 + \pounds 30 + \pounds 20 = \pounds 100\text{ per unit}\)
\(\text{New Variable Cost per unit} = \pounds 800 - \pounds 100 = \pounds 700\text{ per unit}\)
\(\text{New Contribution per unit} = \pounds 1,200 - \pounds 700 = \pounds 500\text{ per unit}\)

**(ii) New break-even point in units:**
\(\text{New Fixed Costs} = \pounds 320,000 + \pounds 90,000 = \pounds 410,000\)
\(\text{New Break-even units} = \frac{\pounds 410,000}{\pounds 500} = 820\text{ units}\)

**(iii) New break-even revenue:**
\(\text{New Break-even revenue} = 820\text{ units} \times \pounds 1,200 = \pounds 984,000\)

**(iv) Budgeted profit (outsourcing) at 1,000 units:**
\(\text{Budgeted Profit} = (1,000 \times \pounds 500) - \pounds 410,000 = \pounds 500,000 - \pounds 410,000 = \pounds 90,000\)

**(v) Level of sales for equal profit (point of indifference):**
Let \(x\) be the number of units.
Set profits from both options equal to each other:
\(400x - 320,000 = 500x - 410,000\)
\(100x = 90,000\)
\(x = 900\text{ units}\)
At a sales volume of \(900\) units, both options will yield the exact same profit of \(\pounds 40,000\).

**(e) Construction of a Break-even Chart:**
* **Axes:**
- The **horizontal axis (x-axis)** is used to plot the volume of activity or output (in units).
- The **vertical axis (y-axis)** is used to plot revenues and costs (in \(\pounds\)).
* **Plotting Lines:**
- **Fixed Costs line:** Plotted as a horizontal line starting at the fixed cost figure on the y-axis (e.g. \(\pounds 320,000\)), running parallel to the x-axis, representing that fixed costs do not change with production levels.
- **Total Revenue line:** Starts at the origin \((0,0)\) and slopes upwards at a constant angle. At any given output level, revenue is calculated as \(\text{units} \times \text{selling price}\) (e.g. at \(1,000\) units, revenue is \(\pounds 1,200,000\)).
- **Total Costs line:** Starts at the intersection point of the fixed cost line and the y-axis (representing fixed costs when activity is zero). It slopes upwards parallel to the total variable cost line at the rate of variable cost per unit.
* **Identification of Key Points:**
- **Break-even point:** Identified where the Total Revenue line intersects the Total Costs line. Dropping a vertical line from this intersection to the x-axis indicates break-even units; drawing a horizontal line across to the y-axis indicates break-even revenue.
- **Margin of safety:** Identified as the horizontal distance along the x-axis between the budgeted sales volume and the break-even sales volume.

**(f) Evaluation of the proposed outsourcing option:**

* **Financial Arguments for Outsourcing:**
- It increases the contribution per unit by \(\pounds 100\) (from \(\pounds 400\) to \(\pounds 500\)).
- At the budgeted level of sales of \(1,000\) units, the annual profit increases by \(\pounds 10,000\) (from \(\pounds 80,000\) to \(\pounds 90,000\)).
- Since the point of indifference is \(900\) units, if the actual sales are expected to exceed \(900\) units, outsourcing becomes increasingly more profitable than current operations due to the higher unit contribution.

* **Financial Arguments against Outsourcing:**
- Total fixed costs increase by \(\pounds 90,000\) per year (from \(\pounds 320,000\) to \(\pounds 410,000\)), which represents a major increase in operating leverage and structural risk.
- The break-even point increases from \(800\) units to \(820\) units, meaning the company must secure more sales before it covers its basic costs.
- The margin of safety decreases from \(200\) units (\(20\%\)) to \(180\) units (\(18\%\)). This gives the business less room to absorb a drop in demand before falling into a loss-making position.
- If actual sales fall below \(900\) units, the company will make lower profits (or larger losses) under the outsourcing option.

* **Non-Financial/Qualitative Considerations:**
- **Quality Control:** VeloTech manufactures high-end electric bicycles. Outsourcing the frame could risk the quality of construction, potentially damaging the brand reputation and customer loyalty if the subcontractor's standards are lower.
- **Supply Chain and Reliability:** The company will depend on an external third party. Any shipping delays, customs hold-ups, or supplier financial distress could stall assembly lines and disrupt customer deliveries.
- **Proprietary Designs:** Sending bike frame specs to an offshore subcontractor increases the risk of design piracy or competitive imitation.
- **Staffing and Social Responsibility:** Lowering direct labour costs may result in internal redundancies, causing poor local publicity, negative press, and decreased morale among remaining assembly workers.

* **Conclusion/Recommendation:**
- If market demand is highly secure and expected to grow beyond \(1,000\) units, and if robust legal contracts can guarantee frame quality and on-time delivery, VeloTech should proceed to maximize profits. However, if the market is volatile or if the brand identity relies heavily on 'in-house British/local engineering', the relatively minor \(\pounds 10,000\) increase in profit does not justify the significant risks of lower margin of safety, higher fixed overheads, and loss of quality control. On balance, VeloTech is advised to maintain its current operations.

評分準則

**(a) Assumptions of Break-even Analysis (4 marks)**
* 1 mark per valid assumption listed, up to a maximum of 4 marks.

**(b) Current Calculations (10 marks)**
* **(i) Contribution per unit:**
- 1 mark for calculating total variable cost (\(\pounds 800\)) or setting up equation.
- 1 mark for correct contribution per unit (\(\pounds 400\)).
* **(ii) Break-even point in units:**
- 1 mark for formula/method: \(\frac{\pounds 320,000}{\pounds 400}\).
- 1 mark for correct answer (\(800\) units).
* **(iii) Break-even revenue:**
- 1 mark for method (\(800 \times \pounds 1,200\) or formula).
- 1 mark for correct answer (\(\pounds 960,000\)).
* **(iv) Margin of Safety:**
- 1 mark for unit calculation method (\(1,000 - 800\)).
- 1 mark for correct units (\(200\) units).
- 1 mark for percentage calculation method (\(\frac{200}{1,000} \times 100\%\)).
- 1 mark for correct percentage (\(20\%\)).

**(c) Current Budgeted Profit (3 marks)**
* 2 marks for workings showing either total contribution minus fixed costs or total revenue minus total variable and fixed costs.
* 1 mark for correct answer (\(\pounds 80,000\)).

**(d) Proposed Outsourcing Option (13 marks)**
* **(i) New contribution per unit:**
- 1 mark for calculating new variable cost per unit (\(\pounds 700\)).
- 1 mark for correct contribution (\(\pounds 500\)).
* **(ii) New break-even point in units:**
- 1 mark for method: \(\frac{\pounds 410,000}{\pounds 500}\).
- 1 mark for correct answer (\(820\) units).
* **(iii) New break-even revenue:**
- 1 mark for method (\(820 \times \pounds 1,200\)).
- 1 mark for correct answer (\(\pounds 984,000\)).
* **(iv) New budgeted profit:**
- 2 marks for workings showing \((1,000 \times \pounds 500) - \pounds 410,000\).
- 1 mark for correct answer (\(\pounds 90,000\)).
* **(v) Point of indifference:**
- 2 marks for setting up the equation representing equal profits: \(400x - 320,000 = 500x - 410,000\).
- 2 marks for correct calculation to arrive at \(900\) units (1 mark for working, 1 mark for final units).

**(e) Construction of Break-even Chart (11 marks)**
* **Axes (2 marks):** 1 mark for stating x-axis is units/output; 1 mark for stating y-axis is costs and revenues/values in money.
* **Fixed Costs line (1 mark):** 1 mark for explaining it is horizontal, drawn from the fixed cost level on the y-axis.
* **Total Costs line (2 marks):** 1 mark for stating it starts at the fixed cost level on the y-axis; 1 mark for stating it slopes upwards representing total fixed plus total variable costs.
* **Total Revenue line (2 marks):** 1 mark for stating it starts at the origin \((0,0)\); 1 mark for stating it slopes upwards based on selling price.
* **Break-even Point (2 marks):** 1 mark for identifying the intersection of total revenue and total cost lines; 1 mark for explaining how to read units (down to x-axis) and revenue (across to y-axis).
* **Margin of Safety (2 marks):** 1 mark for identifying it as a horizontal distance; 1 mark for stating it is the difference on the x-axis between budgeted sales and break-even sales.

**(f) Evaluation (14 marks)**
* **Level 1 (1–4 marks):** Very basic discussion. Identifies only simple points, likely one-sided. No use of calculated figures. Poorly structured or missing recommendation.
* **Level 2 (5–8 marks):** Discusses some financial or non-financial points on both sides, but unbalanced. Shows basic comprehension of risks. Recommendation is present but lacks deep justification.
* **Level 3 (9–11 marks):** Balanced discussion covering both financial impacts (e.g. increase in contribution, increase in BE units, profit comparison, indifference point) and qualitative impacts (quality, reliability, morale). Uses calculations to support arguments. Clear, justified recommendation.
* **Level 4 (12–14 marks):** Comprehensive and sophisticated evaluation. Fully evaluates the trade-off between higher profit (\(\pounds 10,000\) extra) and higher risk (higher fixed costs, increased break-even point from \(800\) to \(820\) units, reduced margin of safety). Integrates non-financial issues (such as brand equity for high-end e-bikes) masterfully into the final judgment. Clear, nuanced, and logical recommendation.
題目 2 · essay
55
Answer BOTH questions in this section. Show all calculations.

Aethelgard plc is a manufacturing company. The following balances were extracted from the ledger accounts on 31 October 2023:

\begin{tabular}{l|r}
\textbf{Account} & \textbf{\pounds} \\
\hline
Ordinary shares of \pounds0.50 each & 500,000 \\
Share premium & 150,000 \\
Retained earnings (1 November 2022) & 168,000 \\
General reserve & 80,000 \\
6% Bank loan (repayable 2028) & 120,000 \\
Land and Buildings (at cost) & 850,000 \\
Equipment (at cost) & 340,000 \\
Accumulated depreciation (1 November 2022): & \\
- Land and Buildings & 120,000 \\
- Equipment & 110,000 \\
Inventory (31 October 2023) & 94,000 \\
Trade receivables & 145,000 \\
Allowance for doubtful debts (1 November 2022) & 4,500 \\
Trade payables & 76,000 \\
Cash and cash equivalents & 38,000 \\
Interest paid on bank loan & 4,500 \\
\end{tabular}

**Additional information:**
1. The draft profit for the year ended 31 October 2023 before any adjustments was calculated as \pounds138,500. This did not take into account the items below.
2. Depreciation for the year is to be charged as follows:
- Land and Buildings at 2% per annum on cost using the straight-line method.
- Equipment at 20% per annum using the reducing balance method.
3. An invoice for equipment repairs of \pounds6,000 dated 1 May 2023 was incorrectly capitalized and debited to the Equipment account. No depreciation has been charged on this item yet.
4. At the year-end inventory count, goods costing \pounds8,000 were found to be damaged. They can only be sold for \pounds3,000 after minor repairs.
5. The allowance for doubtful debts is to be adjusted to 4% of trade receivables.
6. Loan interest of 6% per annum is due on the bank loan. Any outstanding interest at the year-end must be accrued.
7. A provision for corporation tax of \pounds45,000 is to be made for the year.
8. During the year, an interim dividend of \pounds0.02 per share was paid on all ordinary shares. This has not yet been recorded in the accounts and was paid out of the bank account.
9. On 31 October 2023, the directors proposed a transfer of \pounds30,000 from retained earnings to the general reserve.

**Required:**

(a) Prepare a statement showing the calculation of the adjusted profit for the year ended 31 October 2023. (8 marks)

(b) Prepare the Statement of Changes in Equity for Aethelgard plc for the year ended 31 October 2023. (10 marks)

(c) Prepare the Statement of Financial Position for Aethelgard plc as at 31 October 2023 in accordance with IAS 1. (20 marks)

(d) Define the term 'going concern' and state its relevance to the preparation of the financial statements of Aethelgard plc. (5 marks)

(e) Evaluate the importance of an independent auditor's report to the shareholders of a public limited company. Your evaluation should discuss the difference between an unmodified and a modified auditor's opinion. (12 marks)
查看答案詳解

解題

**(a) Statement of Adjusted Profit for the year ended 31 October 2023**

\begin{tabular}{l|r|r}
\textbf{Adjustment Detail} & \textbf{\pounds} & \textbf{\pounds} \\
\hline
Draft profit & & 138,500 \\
Less: Repair expense capitalization correction & (6,000) & \\
Less: Depreciation - Buildings \((2\% \times \pounds850,000)\) & (17,000) & \\
Less: Depreciation - Equipment \((20\% \times (\pounds340,000 - \pounds6,000 - \pounds110,000))\) & (44,800) & \\
Less: Inventory write-down \((\pounds8,000 - \pounds3,000)\) & (5,000) & \\
Less: Increase in allowance for doubtful debts \((\pounds5,800 - \pounds4,500)\) & (1,300) & \\
Less: Accrued interest on bank loan \((\pounds7,200 - \pounds4,500)\) & (2,700) & \\
Less: Corporation tax provision & (45,000) & (121,800) \\
\hline
\textbf{Adjusted Profit for the year} & & \textbf{16,700} \\
\end{tabular}

*Working Notes for Profit Adjustments:*
- Equipment repair: Must be removed from Equipment cost and added to expenses.
- Equipment carrying value calculation for depreciation: Adjusted cost \((\pounds340,000 - \pounds6,000) = \pounds334,000\). Carrying value = \(\pounds334,000 - \pounds110,000 = \pounds224,000\). Depreciation = \(20\% \times \pounds224,000 = \pounds44,800\).
- Allowance for doubtful debts: \(4\% \times \pounds145,000 = \pounds5,800\). Increase required = \(\pounds5,800 - \pounds4,500 = \pounds1,300\).
- Bank loan interest: Total annual interest = \(6\% \times \pounds120,000 = \pounds7,200\). Interest paid = \pounds4,500. Outstanding accrued = \(\pounds7,200 - \pounds4,500 = \pounds2,700\).

***

**(b) Aethelgard plc - Statement of Changes in Equity for the year ended 31 October 2023**

\begin{tabular}{l|c|c|c|c|c}
& \textbf{Share} & \textbf{Share} & \textbf{General} & \textbf{Retained} & \\
& \textbf{Capital} & \textbf{Premium} & \textbf{Reserve} & \textbf{Earnings} & \textbf{Total} \\
& \textbf{\pounds} & \textbf{\pounds} & \textbf{\pounds} & \textbf{\pounds} & \textbf{\pounds} \\
\hline
\textbf{Balance at 1 Nov 2022} & 500,000 & 150,000 & 80,000 & 168,000 & 898,000 \\
Adjusted profit for the year & - & - & - & 16,700 & 16,700 \\
Interim dividend paid & - & - & - & (20,000) & (20,000) \\
Transfer to general reserve & - & - & 30,000 & (30,000) & - \\
\hline
\textbf{Balance at 31 Oct 2023} & \textbf{500,000} & \textbf{150,000} & \textbf{110,000} & \textbf{134,700} & \textbf{894,700} \\
\end{tabular}

*Working Note for Interim Dividend:*
- Number of shares = \(\pounds500,000 / \pounds0.50 = 1,000,000\) shares.
- Dividend paid = \(1,000,000 \times \pounds0.02 = \pounds20,000\).

***

**(c) Aethelgard plc - Statement of Financial Position as at 31 October 2023**

\begin{tabular}{l|r|r|r}
& \textbf{Cost (\pounds)} & \textbf{Acc. Dep (\pounds)} & \textbf{Carrying Value (\pounds)} \\
\hline
\textbf{Non-current assets} & & & \\
Land and Buildings & 850,000 & 137,000 & 713,000 \\
Equipment & 334,000 & 154,800 & 179,200 \\
\hline
\textbf{Total Non-current assets} & & & \textbf{892,200} \\
\hline
\textbf{Current assets} & & & \\
Inventory \((\pounds94,000 - \pounds5,000)\) & & & 89,000 \\
Trade receivables \((\pounds145,000 - \pounds5,800)\) & & & 139,200 \\
Cash and cash equivalents \((\pounds38,000 - \pounds20,000)\) & & & 18,000 \\
\hline
\textbf{Total Current assets} & & & \textbf{246,200} \\
\hline
\textbf{Total Assets} & & & \textbf{1,138,400} \\
\hline
\hline
\textbf{Equity} & & & \\
Share capital & & & 500,000 \\
Share premium & & & 150,000 \\
General reserve & & & 110,000 \\
Retained earnings & & & 134,700 \\
\hline
\textbf{Total Equity} & & & \textbf{894,700} \\
\hline
\textbf{Non-current liabilities} & & & \\
6% Bank loan (repayable 2028) & & & 120,000 \\
\hline
\textbf{Current liabilities} & & & \\
Trade payables & & & 76,000 \\
Accrued interest on bank loan & & & 2,700 \\
Corporation tax payable & & & 45,000 \\
\hline
\textbf{Total Current liabilities} & & & \textbf{123,700} \\
\hline
\textbf{Total Equity and Liabilities} & & & \textbf{1,138,400} \\
\end{tabular}

***

**(d) Going Concern Concept**
- **Definition**: Going concern is the assumption that the company will continue its operations for the foreseeable future (typically at least 12 months from the reporting date) with neither the intention nor the necessity of liquidation or ceasing trade (2 marks).
- **Relevance**:
- It justifies recording assets at carrying/historical cost rather than their break-up/liquidation values (2 marks).
- If Aethelgard plc were not a going concern, assets would have to be written down to net realisable values, and liabilities would be classified as short-term (1 mark).

***

**(e) Evaluation of Independent Auditor's Report**
- **Role & Importance to Shareholders**:
- Shareholders own the company but do not run it daily (agency problem/separation of ownership and control). The audit report provides independent, objective assurance on the financial statements (2 marks).
- It ensures that the statements present a "true and fair view" and comply with IAS and standard reporting frameworks, increasing trust (1 mark).
- Enables shareholders to make informed economic decisions (buying, selling, or holding shares) (1 mark).
- Confirms to external providers of capital (e.g. banks) that the company is reliable, helping secure funding (1 mark).
- **Unmodified vs. Modified Opinion**:
- **Unmodified (Clean) Opinion**: Issued when the auditor concludes that the financial statements are prepared, in all material respects, in accordance with standard frameworks (give a true and fair view) (2 marks).
- **Modified Opinion**: Issued if there is a material misstatement (e.g., disagreement with accounting treatment like incorrect depreciation) or a limitation on scope (unable to verify inventory). This alerts shareholders to significant financial discrepancies or errors (2 marks).
- **Limitations / Conclusion**:
- An audit report provides "reasonable assurance," not a guarantee against all fraud or error, as it is based on sampling (test-checks) (2 marks).
- Ultimately, the independent auditor's report is essential for good corporate governance, without which financial disclosures would lack credibility and damage investor confidence (1 mark).

評分準則

**(a) Statement of Adjusted Profit (8 marks)**
- Repair correction: \pounds6,000 (1 Accuracy mark [1A])
- Buildings depreciation: \pounds17,000 (1 Method mark [1M])
- Equipment depreciation: \pounds44,800 (1 Method/Accuracy mark [1MA])
- Inventory write-down: \pounds5,000 (1A)
- Increase in bad debt provision: \pounds1,300 (1A)
- Accrued loan interest: \pounds2,700 (1M)
- Tax provision: \pounds45,000 (1A)
- Final adjusted profit: \pounds16,700 (1A)

**(b) Statement of Changes in Equity (10 marks)**
- Correct opening row balances: (1A)
- Adjusted profit correctly entered in Retained Earnings: \pounds16,700 (1A [of] - follow through from part a)
- Dividend calculation: \pounds20,000 (1M) and subtracted from Retained Earnings (1A)
- General Reserve transfer: +\pounds30,000 in General Reserve (1A), -\pounds30,000 in Retained Earnings (1A)
- Closing share capital & premium: (1A)
- Closing General Reserve: \pounds110,000 (1A)
- Closing Retained Earnings: \pounds134,700 (1A [of])
- Total Column balances reconciled: (1A)

**(c) Statement of Financial Position (20 marks)**
- Land and Buildings presentation: Cost \pounds850k and Net \pounds713k (2A - 1 for cost/dep, 1 for net)
- Equipment presentation: Cost \pounds334k and Net \pounds179.2k (2A - 1 for cost, 1 for net)
- Inventory: \pounds89k (1A [of])
- Trade receivables net: \pounds139.2k (2A - 1 for gross, 1 for net)
- Cash: \pounds18k (1A)
- Subtotal of Non-Current and Current Assets: (2A)
- Equity section matches SOCE balances: (4A - 1 mark per reserve element [of])
- 6% Bank Loan under Non-Current liabilities: \pounds120k (1A)
- Trade Payables: \pounds76k (1A)
- Accrued Interest: \pounds2.7k (2A - 1 for identification, 1 for correct current liability position)
- Corporation tax: \pounds45k (1A)
- SFP balances correctly at \pounds1,138,400: (1A [of] if both sides agree)

**(d) Going Concern (5 marks)**
- Definition: Entity continues for foreseeable future/no intent to liquidate (2A)
- Relevance to Aethelgard plc: Assets at book values instead of liquidation/scrap value (2A), correct current/non-current classification of liabilities (1A).

**(e) Auditor's Report Evaluation (12 marks)**
- **Level 1 (1-4 marks)**: Basic definitions of audit and minimal distinction between opinions. Lack of evaluation of the usefulness to stakeholders.
- **Level 2 (5-8 marks)**: Good explanation of the importance of an audit report to shareholders (agency problem, true and fair view). Explains unmodified versus modified opinions with some clarity.
- **Level 3 (9-12 marks)**: Thorough explanation of the role of audit reports. Clear comparison of unmodified vs modified (and types like qualified/disclaimer). Strong evaluative conclusion regarding audit limitations (sampling, historic data) vs corporate governance value.

卷二 乙部

Answer THREE questions from this section.
5 題目 · 120
題目 1 · Budgetary Control
30
Zephyr Ltd manufactures and sells a single product, the 'Zeta'. The management is preparing the master budgets for the first quarter of Year 2.

The following information is available:
1. Forecast sales in units for the first five months of Year 2:
- January: 12,000 units
- February: 15,000 units
- March: 18,000 units
- April: 20,000 units
- May: 22,000 units
2. The selling price of the 'Zeta' is £25 per unit.
3. The inventory of finished goods at the end of each month is maintained at a level equal to 20% of the next month's forecast sales. The finished goods inventory at 31 December Year 1 was 2,400 units.
4. Each unit of 'Zeta' requires 3 kg of raw material 'Alpha'.
5. The inventory of raw material 'Alpha' at the end of each month is maintained at a level equal to 10% of the next month's production requirements. The raw material inventory at 31 December Year 1 was 3,780 kg.
6. The cost of raw material 'Alpha' is £4 per kg. All material purchases are on credit and are settled in the month following purchase. Purchases in December Year 1 were £140,000.
7. Sales collection terms are:
- 40% of sales are for cash, subject to a 2% cash discount.
- 60% of sales are on credit. Credit sales are collected: 50% in the month of sale, 48% in the month following the sale, and 2% are expected to be unpaid and written off as bad debts.
- Credit sales in December Year 1 were £180,000.

Required:
(a) Prepare the Sales (Revenue) Budget in value (£) for each of the months of January, February, and March. (4 marks)
(b) Prepare the Production Budget in units for each of the months of January, February, and March. (6 marks)
(c) Prepare the Purchases Budget (in kg and £) for each of the months of January and February. (6 marks)
(d) Prepare the Cash Receipts and Cash Payments Budget extracts for each of the months of January and February. (8 marks)
(e) Evaluate the benefits and limitations to Zephyr Ltd of establishing a budgetary control system. (6 marks)
查看答案詳解

解題

(a) Sales (Revenue) Budget for Jan, Feb, and Mar:
- January: \(12,000 \text{ units} \times £25 = £300,000\)
- February: \(15,000 \text{ units} \times £25 = £375,000\)
- March: \(18,000 \text{ units} \times £25 = £450,000\)

(b) Production Budget (Units):
- January: Sales 12,000 units + Closing Inventory 3,000 units (20% of 15,000) - Opening Inventory 2,400 units = 12,600 units.
- February: Sales 15,000 units + Closing Inventory 3,600 units (20% of 18,000) - Opening Inventory 3,000 units = 15,600 units.
- March: Sales 18,000 units + Closing Inventory 4,000 units (20% of 20,000) - Opening Inventory 3,600 units = 18,400 units.
*(Note: April production needed for March purchases is: Sales 20,000 + Closing 4,400 - Opening 4,000 = 20,400 units).*

(c) Purchases Budget for January and February:
Raw Material requirements:
- Jan production requirement: \(12,600 \times 3\text{ kg} = 37,800\text{ kg}\)
- Feb production requirement: \(15,600 \times 3\text{ kg} = 46,800\text{ kg}\)
- Mar production requirement: \(18,400 \times 3\text{ kg} = 55,200\text{ kg}\)

January Purchases:
Production Usage: 37,800 kg + Closing Stock 4,680 kg (10% of 46,800) - Opening Stock 3,780 kg = 38,700 kg.
Cost of Purchases: \(38,700\text{ kg} \times £4 = £154,800\).

February Purchases:
Production Usage: 46,800 kg + Closing Stock 5,520 kg (10% of 55,200) - Opening Stock 4,680 kg = 47,640 kg.
Cost of Purchases: \(47,640\text{ kg} \times £4 = £190,560\).

(d) Cash Receipts and Cash Payments Budget extracts:
Cash Receipts:
- Cash Sales (40% of sales with 2% discount):
- January: \(£300,000 \times 40\% \times 98\% = £117,600\)
- February: \(£375,000 \times 40\% \times 98\% = £147,000\)
- Receipts from Credit Sales (60% of total sales):
- January: from January Credit Sales \((£180,000 \times 50\% = £90,000)\) + from December Credit Sales \((£180,000 \times 48\% = £86,400)\) = £176,400.
- February: from February Credit Sales \((£225,000 \times 50\% = £112,500)\) + from January Credit Sales \((£180,000 \times 48\% = £86,400)\) = £198,900.
- Total Receipts: Jan: \(£117,600 + £176,400 = £294,000\); Feb: \(£147,000 + £198,900 = £345,900\).

Cash Payments:
- January: Paid for December purchases = £140,000.
- February: Paid for January purchases = £154,800.

(e) Evaluation:
- Benefits: Budgets provide a framework for planning, helping Zephyr Ltd allocate resources effectively. They facilitate coordination between production and sales, ensuring adequate stock levels are kept without overstocking. They act as a tool for control through variance analysis and motivate managers by setting clear targets.
- Limitations: Budgets are based on forecasts and estimates (such as sales projections) which may turn out to be inaccurate. They can introduce rigidity, making the firm less responsive to sudden market changes. Additionally, the process is time-consuming and can cause conflict if targets are unrealistic or used punitively.
- Conclusion: Overall, despite the limitation of relying on estimates, budgetary control is highly beneficial for Zephyr Ltd to maintain cash liquidity and optimize inventory levels.

評分準則

(a) Sales Budget (4 marks):
- 1 mark for each month's correct calculation (Jan, Feb, Mar) \((3 \times 1 = 3 \text{ marks})\)
- 1 mark for clear presentation of results with units and price shown.

(b) Production Budget (6 marks):
- 2 marks for January calculation (1 mark for closing inventory of 3,000 units, 1 mark for final 12,600 units).
- 2 marks for February calculation (1 mark for closing inventory of 3,600 units, 1 mark for final 15,600 units).
- 2 marks for March calculation (1 mark for closing inventory of 4,000 units, 1 mark for final 18,400 units).

(c) Purchases Budget (6 marks):
- January: 1 mark for correct usage of 10% closing inventory (4,680 kg), 1 mark for correct purchases (38,700 kg), 1 mark for total value of £154,800.
- February: 1 mark for correct usage of 10% closing inventory (5,520 kg), 1 mark for correct purchases (47,640 kg), 1 mark for total value of £190,560.

(d) Cash Extracts (8 marks):
- Cash Sales: 1 mark per month (total 2 marks).
- Credit Collections: 2 marks per month (total 4 marks, showing month of sale and month following sale collections).
- Supplier Payments: 1 mark per month (total 2 marks).

(e) Evaluation (6 marks):
- Max 4 marks for detailing balanced benefits and limitations (2 marks for benefits, 2 marks for limitations).
- 2 marks for a reasoned conclusion on whether budgeting is helpful for Zephyr Ltd.
題目 2 · structural
30
Zenith Manufacturing is considering investing \(£200,000\) in a new automated production line. The equipment has an estimated useful life of four years, with an estimated residual value of \(£20,000\) at the end of Year 4.

The estimated net cash inflows from the project (excluding the initial cost and the residual value) are as follows:
- Year 1: \(£60,000\)
- Year 2: \(£80,000\)
- Year 3: \(£80,000\)
- Year 4: \(£26,000\)

The cost of capital for Zenith Manufacturing is 10%.

**Required**

**(a)** State **two** advantages and **two** disadvantages of using the payback period method of investment appraisal. (4 marks)

**(b)** Calculate for the new production line:
- **(i)** the payback period (showing your working in years and months). (4 marks)
- **(ii)** the accounting rate of return (ARR) (using the average investment method). (6 marks)
- **(iii)** the net present value (NPV) using a discount rate of 10%. (8 marks)

*Note: The discount factors at 10% are Year 1: 0.909; Year 2: 0.826; Year 3: 0.751; Year 4: 0.683.*

**(c)** Evaluate whether Zenith Manufacturing should proceed with the investment in the new production line. Consider both financial and non-financial factors in your answer. (8 marks)
查看答案詳解

解題

**(a) Advantages and Disadvantages of Payback Period**

**Advantages (Max 2 marks):**
- It is simple and easy to calculate and understand.
- It focuses on liquidity and cash recovery, which helps minimize risk in highly volatile markets.
- Useful for businesses facing cash flow constraints as it identifies projects that return cash quickly.

**Disadvantages (Max 2 marks):**
- It ignores the cash flows that occur after the payback point has been reached.
- It ignores the time value of money (treats cash flows in Year 3 the same as Year 1).
- It does not measure the overall profitability of the investment.

---

**(b) Calculations**

**(i) Payback Period**

| Year | Net Cash Flow (\(£\)) | Cumulative Cash Flow (\(£\)) |
|---|---|---|
| 0 | (200,000) | (200,000) |
| 1 | 60,000 | (140,000) |
| 2 | 80,000 | (60,000) |
| 3 | 80,000 | 20,000 |
| 4 | 46,000 (including residual) | 66,000 |

- Payback occurs during Year 3.
- Remaining cash needed at the end of Year 2 = \(£60,000\).
- Year 3 cash inflow = \(£80,000\).
- Calculation: \(\text{Payback Period} = 2 \text{ years} + \left(\frac{£60,000}{£80,000}\right) \times 12 \text{ months} = 2 \text{ years and } 9 \text{ months}\) (or 2.75 years).

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

- **Total Operating Cash Inflows (Years 1-4):** \(£60,000 + £80,000 + £80,000 + £26,000 = £246,000\)
- **Total Depreciation:** \(\text{Initial Outlay} - \text{Residual Value} = £200,000 - £20,000 = £180,000\)
- **Total Profit over Project Life:** \(\text{Total Operating Cash Inflows} - \text{Total Depreciation} = £246,000 - £180,000 = £66,000\)
*(Alternatively: Total Inflows including Residual \(£266,000 - \text{Initial Cost } £200,000 = £66,000\))*
- **Average Annual Profit:** \(\frac{£66,000}{4 \text{ years}} = £16,500\)
- **Average Investment:** \(\frac{\text{Initial Outlay} + \text{Residual Value}}{2} = \frac{£200,000 + £20,000}{2} = £110,000\)
- **ARR:** \(\left(\frac{£16,500}{£110,000}\right) \times 100\% = 15\%\)

*(Note: If the candidate uses the alternative average investment formula of Initial Outlay / 2 = \(£100,000\), then ARR = \(16.5\%\). Full marks should be awarded if calculated correctly using this alternative).*

**(iii) Net Present Value (NPV)**

| Year | Cash Flow (\(£\)) | Discount Factor (10%) | Present Value (\(£\)) |
|---|---|---|---|
| 0 | (200,000) | 1.000 | (200,000) |
| 1 | 60,000 | 0.909 | 54,540 |
| 2 | 80,000 | 0.826 | 66,080 |
| 3 | 80,000 | 0.751 | 60,080 |
| 4 | 46,000* | 0.683 | 31,418 |
| **NPV** | | | **+12,118** |

*\(*Note: Year 4 cash flow includes the operating cash flow of \)£26,000\) plus the residual value of \(£20,000 = £46,000\).*

Total PV of Inflows = \(£54,540 + £66,080 + £60,080 + £31,418 = £212,118\)
NPV = \(£212,118 - £200,000 = +£12,118\)

---

**(c) Evaluation**

**Financial Factors:**
- The NPV is positive at \(+£12,118\), indicating that the project exceeds the cost of capital of 10% and will increase shareholder wealth.
- The ARR of 15% is healthy and provides a useful benchmark to compare against Zenith's target hurdle rate or internal return targets.
- The Payback Period of 2 years 9 months is relatively short, allowing Zenith to recover its initial outlay well before the end of the project's life.

**Non-Financial / Qualitative Factors:**
- Automation may lead to staff redundancies, causing low staff morale, resistance, and potential industrial relations problems.
- Installing a new production line requires training for staff, which will involve downtime and additional unbudgeted costs.
- The figures are based on estimates. If actual demand falls or running costs rise, the project could become unviable.
- Technology obsolescence: If technology changes rapidly, the estimated residual value of \(£20,000\) might not be fully realized.

**Conclusion:**
Zenith Manufacturing should proceed with the investment because all three quantitative appraisal methods (Positive NPV, 15% ARR, and short payback) support viability. However, they must actively manage staff transition and training to avoid operational disruption.

評分準則

**Part (a) [Total: 4 marks]**
- 1 mark for each advantage listed (max 2 marks).
- 1 mark for each disadvantage listed (max 2 marks).

**Part (b)(i) [Total: 4 marks]**
- 1 mark for showing cumulative cash flows correctly for Years 1 and 2.
- 1 mark for identifying that payback occurs in Year 3.
- 1 mark for the fractional year working: \(\frac{60,000}{80,000} = 0.75\) years.
- 1 mark for the correct final answer: **2 years 9 months** (or **2.75 years**).

**Part (b)(ii) [Total: 6 marks]**
- 1 mark for total profit calculation: \(£66,000\) (or total depreciation of \(£180,000\)).
- 1 mark for average annual profit calculation: \(£16,500\).
- 2 marks (or 1 mark for method, 1 mark for accuracy) for average investment: \(£110,000\) (Accept \(£100,000\) with alternative formula).
- 2 marks for correct ARR calculation: **15%** (Accept **16.5%** if using alternative average investment of \(£100,000\)).

**Part (b)(iii) [Total: 8 marks]**
- 1 mark for Year 0 present value: \((£200,000)\).
- 1 mark for Year 1 PV: \(£54,540\).
- 1 mark for Year 2 PV: \(£66,080\).
- 1 mark for Year 3 PV: \(£60,080\).
- 2 marks for Year 4 PV: \(£31,418\) (1 mark for recognizing total inflow is \(£46,000\), 1 mark for multiplying by 0.683). *If residual value was omitted, allow 1 mark for \(£26,000 \times 0.683 = £17,758\).*
- 1 mark for total present value of inflows: \(£212,118\) (or OF if error made in individual years).
- 1 mark for correct NPV: **+£12,118** (or OF if error made in previous lines).

**Part (c) [Total: 8 marks]**
- **Level 1 (1-2 marks):** Basic points of financial and non-financial analysis, highly descriptive or one-sided.
- **Level 2 (3-5 marks):** Balanced points discussing both financial calculations (NPV, ARR, payback) and qualitative points (redundancies, estimates, training), but lacks a strong reasoned conclusion.
- **Level 3 (6-8 marks):** Detailed and thorough evaluation covering both sides, with a clear and logical recommendation based on the evidence presented.
題目 3 · structural
0
題目 4 · essay
30
Vanguard Logistics plc has an authorised and issued share capital of ordinary shares of £0.50 each. On 1 January 2023, the balances on the company's equity and non-current liability accounts were as follows:

* Ordinary Share Capital (£0.50 per share): £600,000
* Share Premium: £100,000
* Retained Earnings: £240,000
* General Reserve: £80,000
* 6% Debentures (repayable 2030): £200,000

During the financial year ended 31 December 2023, the following transactions occurred:

1. **1 March 2023:** The company paid a final dividend of £0.05 per share on the shares in issue on 1 January 2023.
2. **1 June 2023:** The company made a 1-for-4 bonus issue of ordinary shares. The directors decided to use the Share Premium account to the maximum extent possible, with the remaining balance funded from Retained Earnings.
3. **1 September 2023:** The company paid an interim dividend of £0.02 per share on all shares in issue at that date.
4. **31 December 2023:** The profit for the year after tax was £185,000.
5. **31 December 2023:** The directors decided to transfer £30,000 to the general reserve.
6. **31 December 2023:** The annual interest on the 6% Debentures was paid in full.

**Required:**

**(a)** Prepare the Statement of Changes in Equity for Vanguard Logistics plc for the year ended 31 December 2023. *(12 marks)*

**(b)** Prepare the journal entries to record:
*(i)* the bonus issue of shares on 1 June 2023.
*(ii)* the payment of the annual debenture interest on 31 December 2023.
*Note: Narratives are required for both entries.* *(6 marks)*

**(c)** *(i)* Calculate the debt-to-equity gearing ratio of Vanguard Logistics plc on 31 December 2023. *(2 marks)*
*(ii)* The company is planning to expand its operations in 2024. This will require £300,000 of additional finance. The directors are considering raising this by issuing 8% Debentures of £300,000 on 1 January 2024. Calculate the gearing ratio immediately after the issue of these debentures, assuming no other changes to equity. *(4 marks)*

**(d)** Evaluate whether Vanguard Logistics plc should raise the £300,000 by issuing 8% Debentures or by issuing 600,000 new ordinary shares of £0.50 each. *(6 marks)*
查看答案詳解

解題

### **Vanguard Logistics plc — Worked Solution**

#### **(a) Statement of Changes in Equity for the year ended 31 December 2023**

* **Initial number of shares:** \(\frac{£600,000}{£0.50} = 1,200,000\text{ shares}\)
* **Final Dividend:** \(1,200,000 \times £0.05 = £60,000\)
* **Bonus Share Issue:**
* \(1,200,000 \times \frac{1}{4} = 300,000\text{ new shares}\)
* Value: \(300,000 \times £0.50 = £150,000\)
* Funded by Share Premium up to the maximum: \(£100,000\)
* Balance from Retained Earnings: \(£150,000 - £100,000 = £50,000\)
* **Interim Dividend:**
* New shares in issue: \(1,200,000 + 300,000 = 1,500,000\)
* Interim Dividend: \(1,500,000 \times £0.02 = £30,000\)

| Details | Ordinary Share Capital (£) | Share Premium (£) | Retained Earnings (£) | General Reserve (£) | Total (£) |
| :--- | :---: | :---: | :---: | :---: | :---: |
| **Balance at 1 January 2023** | 600,000 | 100,000 | 240,000 | 80,000 | 1,020,000 |
| Profit for the year | - | - | 185,000 | - | 185,000 |
| Dividends paid (Final) | - | - | (60,000) | - | (60,000) |
| Dividends paid (Interim) | - | - | (30,000) | - | (30,000) |
| Bonus share issue | 150,000 | (100,000) | (50,000) | - | - |
| Transfer to General Reserve | - | - | (30,000) | 30,000 | - |
| **Balance at 31 December 2023** | **750,000** | **0** | **255,000** | **110,000** | **1,115,000** |

---

#### **(b) Journal Entries**

**(i) Bonus issue of shares on 1 June 2023:**

```
Date: 1 June 2023
Debit: Share Premium Account £100,000
Debit: Retained Earnings £50,000
Credit: Ordinary Share Capital £150,000
(Narrative: Being the issue of 300,000 ordinary shares of £0.50 each as a 1-for-4 bonus issue, funded using Share Premium and Retained Earnings.)
```

**(ii) Payment of the annual debenture interest on 31 December 2023:**
* Interest: \(£200,000 \times 6\% = £12,000\)

```
Date: 31 December 2023
Debit: Debenture Interest Expense (or Finance Costs) £12,000
Credit: Bank/Cash £12,000
(Narrative: Being the payment of annual 6% interest on £200,000 debentures.)
```

---

#### **(c) Gearing Ratio Calculations**

**Note:** Either the capital employed method (Formula A) or debt-to-equity method (Formula B) is acceptable, provided the method is consistently applied.

**Formula A: Capital Employed Method (Standard Pearson Edexcel formula)**
$$\text{Gearing Ratio} = \frac{\text{Non-Current Liabilities}}{\text{Total Equity} + \text{Non-Current Liabilities}} \times 100\%$$

*(i) Gearing Ratio as at 31 December 2023:*
* Non-current liabilities = £200,000
* Total Equity = £1,115,000
* Capital Employed = \(£1,115,000 + £200,000 = £1,315,000\)
* \(\text{Gearing} = \frac{200,000}{1,315,000} \times 100\% = 15.21\%\)

*(ii) Gearing Ratio after issuing £300,000 8% Debentures:*
* New Non-current liabilities = \(£200,000 + £300,000 = £500,000\)
* New Capital Employed = \(£1,115,000 + £500,000 = £1,615,000\)
* \(\text{Gearing} = \frac{500,000}{1,615,000} \times 100\% = 30.96\%\)

**Formula B: Debt-to-Equity Method (Alternative)**
$$\text{Gearing Ratio} = \frac{\text{Non-Current Liabilities}}{\text{Total Equity}} \times 100\%$$

*(i) Gearing Ratio as at 31 December 2023:*
* \(\text{Gearing} = \frac{200,000}{1,115,000} \times 100\% = 17.94\%\)

*(ii) Gearing Ratio after issuing £300,000 8% Debentures:*
* \(\text{Gearing} = \frac{500,000}{1,115,000} \times 100\% = 44.84\%\)

---

#### **(d) Evaluation**

**Option 1: Raising £300,000 via 8% Debentures**
* **Gearing Implications:** Gearing increases from 15.21% to 30.96% (Formula A) or 17.94% to 44.84% (Formula B). This represents a significant increase in risk, but still remains at a generally manageable, moderate level.
* **Fixed Obligation:** The interest rate of 8% is higher than the existing 6% debentures. It will add an annual commitment of £24,000, which must be paid regardless of profit levels. This increases default/liquidity risk.
* **Tax Benefits:** Debenture interest is an allowable expense for tax purposes, reducing taxable profit and net cash outflows.
* **Control:** Ownership control is not diluted. Existing shareholders retain 100% of voting rights.

**Option 2: Raising £300,000 via issuing 600,000 new ordinary shares at £0.50 each**
* **Gearing Implications:** Gearing ratio decreases as equity increases from £1,115,000 to £1,415,000. Total debt remains at £200,000. Under Formula A, gearing becomes \(\frac{200,000}{1,415,000 + 200,000} \times 100\% = 12.38\%\). Financial risk is significantly reduced.
* **Discretionary Dividend:** Ordinary dividends are optional, reducing cash outflow pressures during poor trading years.
* **Dilution:** An additional 600,000 shares will dilute existing shareholders' ownership percentage and voting power, unless issued via a rights issue.
* **Earnings per Share (EPS):** Profits must now be shared among 2,100,000 shares instead of 1,500,000. This could dilute EPS in the short term.

**Conclusion/Recommendation:**
If Vanguard Logistics plc has highly predictable and secure cash flows from its expansion, using 8% Debentures would protect shareholder control and keep the gearing at a reasonable 30.96%. However, if the expansion project is risky or profit generation is slow, the share issue is safer as it avoids fixed servicing costs and lowers gearing to 12.38%.

評分準則

### **Marking Scheme**

#### **(a) Statement of Changes in Equity (12 marks)**
* **Opening balances (1 Jan 2023):** Correct figures shown (No marks, starting point).
* **Final Dividend (1 March):** **(2 marks)** — 1 mark for calculating £60,000 and 1 mark for subtracting from Retained Earnings/Total.
* **Bonus Share Issue (1 June):** **(3 marks)** — 1 mark for adding £150,000 to Share Capital; 1 mark for deducting £100,000 from Share Premium; 1 mark for deducting £50,000 from Retained Earnings.
* **Interim Dividend (1 Sept):** **(2 marks)** — 1 mark for calculating £30,000 based on 1.5 million shares, 1 mark for subtracting from Retained Earnings/Total.
* **Profit for the year (31 Dec):** **(1 mark)** — Correctly adding £185,000 to Retained Earnings and Total.
* **Transfer to General Reserve (31 Dec):** **(2 marks)** — 1 mark for deducting £30,000 from Retained Earnings; 1 mark for adding £30,000 to General Reserve.
* **Final balances (31 Dec 2023):** **(2 marks)** — 1 mark for correct column balances of individual reserves; 1 mark for correct overall Total of £1,115,000 (follow-through applies if arithmetic errors occurred).

#### **(b) Journal Entries (6 marks)**
* **(i) Bonus issue journal:** **(3 marks)** —
* Debit Share Premium £100,000 **(0.5 mark)**
* Debit Retained Earnings £50,000 **(0.5 mark)**
* Credit Ordinary Share Capital £150,000 **(1 mark)**
* Accurate and clear narrative describing the 1-for-4 bonus issue **(1 mark)**
* **(ii) Debenture interest journal:** **(3 marks)** —
* Debit Debenture Interest Expense £12,000 **(1 mark)**
* Credit Bank £12,000 **(1 mark)**
* Accurate narrative describing annual interest payment **(1 mark)**

#### **(c) Gearing Calculations (6 marks)**
* **(i) Gearing ratio on 31 Dec 2023:** **(2 marks)** —
* Formula A (Capital Employed): \(15.21\%\) (1 mark for working, 1 mark for accuracy)
* *OR* Formula B (Debt-to-Equity): \(17.94\%\) (1 mark for working, 1 mark for accuracy)
* **(ii) Gearing ratio after £300,000 Debentures:** **(4 marks)** —
* Formula A: New NCL £500,000 **(1 mark)**; New Capital Employed £1,615,000 **(1 mark)**; Final percentage of \(30.96\%\) **(2 marks)**
* *OR* Formula B: New NCL £500,000 **(1 mark)**; New Equity £1,115,000 **(1 mark)**; Final percentage of \(44.84\%\) **(2 marks)**

#### **(d) Evaluation (6 marks)**
* **Level 1 (1–2 marks):** Identifies basic differences between ordinary shares and debentures (e.g., dividends vs interest). Points lack analysis or depth, and there is no clear reference to calculated gearing figures.
* **Level 2 (3–4 marks):** Explains advantages and disadvantages of both sources of finance. Refers to gearing ratio results but does not fully link them to financial risk or investor preferences. Evaluative judgment is weak or absent.
* **Level 3 (5–6 marks):** Thoroughly evaluates both financing routes. Explicitly discusses the increase/decrease in gearing, financial commitments (fixed interest of 8% vs discretionary dividends), dilution of voting control/earnings for existing shareholders, and tax shield implications. Provides a clear, well-supported, and logical recommendation.
題目 5 · multi-part
30
Vanguard Logistics plc provides the following financial information for the year ended 30 April 2023:

**Extract from the Statement of Financial Position as at 30 April 2023**
* Ordinary shares of \(£0.50\) each (fully paid): \(£1,000,000\)
* Share Premium: \(£300,000\)
* Retained Earnings: \(£700,000\)
* 8% Debentures (repayable 2030): \(£500,000\)

**Extract from the Statement of Profit or Loss for the year ended 30 April 2023**
* Operating profit (Profit before interest and tax): \(£340,000\)
* Finance costs (Debenture interest): \(£40,000\)
* Taxation: \(£60,000\)
* Profit for the year (after interest and tax): \(£240,000\)

**Other market information**
* Total ordinary dividend paid and proposed for the year: \(£96,000\)
* Market price per ordinary share on 30 April 2023: \(£1.60\)

**Required**

(a) Calculate the following investment ratios for the year ended 30 April 2023, showing your workings and stating the formula used in each case:
(i) Dividend per Share (DPS)
(ii) Dividend Yield
(iii) Dividend Cover
(iv) Earnings per Share (EPS)
(v) Price/Earnings (P/E) Ratio
(vi) Return on Capital Employed (ROCE)
(12 marks)

(b) (i) Explain the difference between **Dividend Yield** and **Earnings per Share (EPS)**. (4 marks)
(ii) State two non-financial factors that an investor should consider before purchasing shares in a public limited company. (2 marks)

(c) An investor is considering purchasing 50,000 shares in Vanguard Logistics plc. The average P/E ratio for the logistics sector is 10 times, and the average dividend yield is 4.5%.

Evaluate whether the investor should purchase shares in Vanguard Logistics plc. Refer to your calculations in (a) and other financial/non-financial considerations. (12 marks)
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解題

**Part (a)**

**(i) Dividend per Share (DPS)**
* **Formula**: \(\frac{\text{Total Ordinary Dividends}}{\text{Number of Ordinary Shares}}\)
* **Workings**:
* Number of shares = \(\frac{£1,000,000}{£0.50} = 2,000,000\) shares
* DPS = \(\frac{£96,000}{2,000,000} = £0.048\) or \(4.8\text{p}\)

**(ii) Dividend Yield**
* **Formula**: \(\frac{\text{Dividend per Share}}{\text{Market Price per Share}} \times 100\)
* **Workings**: \(\frac{£0.048}{£1.60} \times 100 = 3\%\)

**(iii) Dividend Cover**
* **Formula**: \(\frac{\text{Earnings per Share}}{\text{Dividend per Share}}\) or \(\frac{\text{Profit for the year after tax}}{\text{Total Dividends}}\)
* **Workings**: \(\frac{£240,000}{£96,000} = 2.5\text{ times}\)

**(iv) Earnings per Share (EPS)**
* **Formula**: \(\frac{\text{Profit for the year after tax}}{\text{Number of Ordinary Shares}}\)
* **Workings**: \(\frac{£240,000}{2,000,000} = £0.12\) or \(12\text{p}\)

**(v) Price/Earnings (P/E) Ratio**
* **Formula**: \(\frac{\text{Market Price per Share}}{\text{Earnings per Share}}\)
* **Workings**: \(\frac{£1.60}{£0.12} = 13.33\text{ times}\)

**(vi) Return on Capital Employed (ROCE)**
* **Formula**: \(\frac{\text{Operating Profit (Profit before interest and tax)}}{\text{Capital Employed}} \times 100\)
* **Workings**:
* Capital Employed = Share Capital (\(£1,000,000\)) + Share Premium (\(£300,000\)) + Retained Earnings (\(£700,000\)) + Debentures (\(£500,000\)) = \(£2,500,000\)
* ROCE = \(\frac{£340,000}{£2,500,000} \times 100 = 13.6\%\)

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**Part (b)**

**(i) Difference between Dividend Yield and Earnings per Share (EPS)**:
* **Earnings per Share (EPS)** measures the total amount of profit earned during the period on behalf of each ordinary share. It reflects overall profitability allocable to shareholders, whether distributed as dividends or retained in the business for reinvestment.
* **Dividend Yield** measures the cash return on investment relative to the current market price of the share. It shows the actual cash income return an investor receives relative to the share's current value.

**(ii) Non-financial factors** (Any two of the following or other valid points):
* Quality and experience of the company’s management team.
* Environmental and social responsibility record (ESG factors) of the firm.
* Technological disruptions or changes in regulations affecting the logistics industry.
* Competitor analysis and market share.

---

**Part (c) Evaluation**

* **Arguments for buying the shares**:
* **ROCE is solid**: At \(13.6\%\), the company is making a decent return on the resources invested, which shows competent operational efficiency.
* **Good Dividend Cover**: A cover of \(2.5\text{ times}\) indicates that profits are \(2.5\) times the dividend payment. This suggests dividends are safe and sustainable, with significant profit (\(60\%\)) retained to fuel future organic growth.
* **Potential for Capital Growth**: The high P/E ratio of \(13.33\) times (compared to the industry average of \(10\)) indicates strong market confidence in Vanguard's future growth potential.

* **Arguments against buying the shares**:
* **Low immediate cash return**: The dividend yield of \(3\%\) is lower than the sector average of \(4.5\%\). Investors looking for immediate cash income may find other investments more attractive.
* **Shares might be overvalued**: A P/E of \(13.33\) is higher than the industry average of \(10\). If the company fails to deliver high growth expectations, the share price could fall.
* **Interest obligations**: The company has \(£500,000\) in debentures at \(8\%\) interest. This fixed finance cost reduces profit available to shareholders.

* **Conclusion**:
* Whether to buy depends on the investor's objective. A growth-focused investor should purchase the shares because of the strong dividend cover, robust ROCE, and market confidence indicated by the high P/E ratio. An income-seeking investor looking for maximum current cash yield should look elsewhere, as the current dividend yield of \(3\%\) is subpar compared to the sector average of \(4.5\%\).

評分準則

**Part (a) [Total: 12 marks]**
For each ratio (i) to (vi):
* 1 mark for formula / correct workings.
* 1 mark for correct final answer with units (p, %, times).

**Part (b) [Total: 6 marks]**
* **(i)** Up to 4 marks for explaining the difference: Max 2 marks for EPS explanation (focus on total profitability per share) and Max 2 marks for Dividend Yield explanation (focus on cash return on market price).
* **(ii)** 2 marks (1 mark per valid non-financial factor stated).

**Part (c) [Total: 12 marks]**
* **Level 1 (1–3 marks)**: Identifies basic points. No depth or context.
* **Level 2 (4–6 marks)**: Basic application of calculations. Compares P/E and Dividend Yield to sector averages with limited evaluation.
* **Level 3 (7–9 marks)**: Analyzes both positive aspects (cover, ROCE, growth) and negative aspects (low yield, high entry multiple) with clear links to the scenario.
* **Level 4 (10–12 marks)**: Balanced evaluation considering both financial ratios and wider contexts, ending in a clear, logical recommendation based on the investor's potential profile (growth vs income).

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