Edexcel IAS-Level · Thinka 原創模擬試題

2026 Edexcel IAS-Level Accounting (XAC11) 模擬試題連答案詳解

Thinka Jan 2026 (V2) Cambridge International A Level-Style Mock — Accounting (XAC11)

400 360 分鐘2026
An original Thinka practice paper modelled on the structure and difficulty of the Jan 2026 (V2) Cambridge International A Level Accounting (XAC11) paper. Not affiliated with or reproduced from Cambridge.

Unit 1 甲部

Answer BOTH questions in this section. All calculations must be shown.
2 題目 · 110
題目 1 · Financial Statement Preparation and Forecast Analysis
55
Karan is a sole trader who runs a wholesaling business. The following trial balance was prepared from his books of account at 30 April 2023:

| Account | Debit (£) | Credit (£) |
| :--- | :---: | :---: |
| Revenue | | 480,000 |
| Purchases | 290,000 | |
| Inventory (1 May 2022) | 42,000 | |
| Trade receivables | 54,000 | |
| Allowance for doubtful debts (1 May 2022) | | 2,400 |
| Trade payables | | 36,500 |
| Cash at bank (overdraft) | | 4,200 |
| Premises (cost) | 200,000 | |
| Equipment (cost) | 80,000 | |
| Accumulated depreciation (1 May 2022): | | |
| - Premises | | 20,000 |
| - Equipment | | 32,000 |
| Wages and salaries | 48,500 | |
| Rent and rates | 24,000 | |
| General expenses | 18,600 | |
| Drawings | 25,000 | |
| Capital (1 May 2022) | | 207,000 |
| **Total** | **782,100** | **782,100** |

**Additional information at 30 April 2023:**

1. Inventory at 30 April 2023 was valued at cost of \(£46,000\). This included some damaged goods costing \(£4,000\). These goods can be repaired for \(£800\) and then sold for \(£3,500\).
2. Rent and rates includes \(£3,000\) paid for rent for the three months ending 31 May 2023.
3. General expenses accrued but unpaid at 30 April 2023 amounted to \(£1,400\).
4. During the year, Karan took goods costing \(£1,500\) for his personal use. No entry has been made in the books.
5. A trade debt of \(£3,000\) is irrecoverable and must be written off. The allowance for doubtful debts is to be adjusted to 5% of trade receivables.
6. Depreciation is to be charged as follows:
- Premises: 2% per annum using the straight-line method.
- Equipment: 15% per annum using the reducing balance method.

**Required:**

(a) Prepare Karan's Statement of Profit or Loss for the year ended 30 April 2023. *(22 marks)*

(b) Prepare Karan's Statement of Financial Position as at 30 April 2023. *(15 marks)*

(c) Calculate the following ratios for the year ended 30 April 2023 (rounding answers to two decimal places):
(i) Gross profit margin % *(3 marks)*
(ii) Profit for the year margin % *(3 marks)*
(iii) Liquid (acid test) ratio *(4 marks)*

(d) Karan is considering moving from his manual bookkeeping system to a cloud-based computerized accounting system. Evaluate whether Karan should adopt a computerized accounting system. *(8 marks)*
查看答案詳解

解題

**(a) Karan - Statement of Profit or Loss for the year ended 30 April 2023**

| | £ | £ |
| :--- | :---: | :---: |
| **Revenue** | | **480,000** |
| **Cost of Sales** | | |
| Opening Inventory | 42,000 | |
| Purchases \((290,000 - 1,500)\) | 288,500 | |
| | 330,500 | |
| Less: Closing Inventory *[W1]* | (44,700) | |
| **Cost of Sales** | | **(285,800)** |
| **Gross Profit** | | **194,200** |
| | | |
| **Expenses** | | |
| Wages and salaries | 48,500 | |
| Rent and rates \((24,000 - 1,000\text{ prepayment } [W2])\) | 23,000 | |
| General expenses \((18,600 + 1,400\text{ accrual})\) | 20,000 | |
| Irrecoverable debts | 3,000 | |
| Increase in allowance for doubtful debts *[W3]* | 150 | |
| Depreciation - Premises \((200,000 \times 2\%)\) | 4,000 | |
| Depreciation - Equipment *[W4]* | 7,200 | |
| **Total Expenses** | | **(105,850)** |
| **Profit for the year** | | **88,350** |

**Workings:**
- **[W1] Closing Inventory:** Cost \(£46,000\). Damaged goods cost \(£4,000\), Net Realisable Value (NRV) \(= 3,500 - 800 = £2,700\). Because NRV is lower, write down by \(4,000 - 2,700 = 1,300\). Adjusted inventory \(= 46,000 - 1,300 = £44,700\).
- **[W2] Rent Prepayment:** \(£3,000\) for 3 months (March, April, May). Prepaid for May (1 month) \(= £3,000 \div 3 = £1,000\).
- **[W3] Allowance for Doubtful Debts:** Trade Receivables \(= 54,000 - 3,000\text{ (irrecoverable)} = £51,000\). New allowance \(= 51,000 \times 5\% = £2,550\). Increase \(= 2,550 - 2,400 = £150\).
- **[W4] Depreciation - Equipment:** Net book value \(= 80,000 - 32,000 = £48,000\). Depreciation \(= 48,000 \times 15\% = £7,200\).

---

**(b) Karan - Statement of Financial Position as at 30 April 2023**

| Non-Current Assets | Cost (£) | Accum. Dep. (£) | Carrying Value (£) |
| :--- | :---: | :---: | :---: |
| Premises | 200,000 | 24,000 | 176,000 |
| Equipment | 80,000 | 39,200 | 40,800 |
| **Total Non-Current Assets** | **280,000** | **63,200** | **216,800** |

| Current Assets | £ | £ |
| :--- | :---: | :---: |
| Inventory | | 44,700 |
| Trade receivables \((51,000 - 2,550)\) | 48,450 | |
| Prepayments (Rent) | 1,000 | |
| **Total Current Assets** | | **94,150** |
| **Total Assets** | | **310,950** |

| Equity and Liabilities | | |
| :--- | :---: | :---: |
| **Equity** | | |
| Opening Capital | | 207,000 |
| Add: Profit for the year | | 88,350 |
| | | 295,350 |
| Less: Drawings \((25,000\text{ cash} + 1,500\text{ goods})\) | | (26,500) |
| **Closing Capital** | | **268,850** |
| | | |
| **Current Liabilities** | | |
| Trade payables | 36,500 | |
| Bank overdraft | 4,200 | |
| Accruals (General expenses) | 1,400 | |
| **Total Current Liabilities** | | **42,100** |
| **Total Equity and Liabilities** | | **310,950** |

---

**(c) Ratios (Rounding to two decimal places)**

(i) **Gross profit margin %**
$$\text{Formula} = \left( \frac{\text{Gross Profit}}{\text{Revenue}} \right) \times 100$$
$$\text{Gross profit margin %} = \left( \frac{194,200}{480,000} \right) \times 100 = 40.4583\% \approx 40.46\%$$

(ii) **Profit for the year margin %**
$$\text{Formula} = \left( \frac{\text{Profit for the Year}}{\text{Revenue}} \right) \times 100$$
$$\text{Profit for the year margin %} = \left( \frac{88,350}{480,000} \right) \times 100 = 18.4062\% \approx 18.41\%$$

(iii) **Liquid (acid test) ratio**
$$\text{Formula} = \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}$$
$$\text{Liquid ratio} = \frac{94,150 - 44,700}{42,100} = \frac{49,450}{42,100} = 1.1745 \approx 1.17 : 1$$

---

**(d) Evaluation: Adopting a Cloud-Based Computerized Accounting System**

**Arguments for adoption (Advantages):**
- **Efficiency & Speed:** Software automates major calculations and updates ledgers instantly, saving significant time compared to manual recording.
- **Accuracy:** Reduces human arithmetical mistakes and transcription errors.
- **Real-Time Financial Reporting:** Karan will be able to retrieve instant statements, outstanding receivable lists, and cash flow positions to support faster business decisions.
- **Data Security & Cloud Backups:** Remote storage eliminates risks of records being lost due to physical fires or damage at the office.

**Arguments against adoption (Disadvantages):**
- **Costs:** Initial investment in software licenses/subscription, hardware upgrades, and recurring monthly maintenance fees.
- **Staff Training:** Karan and his employees may require time and training to become proficient with the new software, temporarily lowering productivity.
- **Cybersecurity & Downtime:** Relying on internet connectivity means any service outages can stop updates. Additionally, cloud data is exposed to security breaches/hacking risks if passwords/systems are not well managed.

**Conclusion:**
Karan should move to a computerized accounting system. Given his turnover is substantial (\(£480,000\)) and he deals with complexities such as credit transactions (trade receivables and payables), the benefits of time saved, enhanced tracking of debts, and accuracy outweigh the initial setup costs and learning curve.

評分準則

**(a) Statement of Profit or Loss (22 marks):**
- **Revenue:** £480,000 (1 mark)
- **Opening Inventory:** £42,000 (1 mark)
- **Purchases:** £288,500 (2 marks) [1 mark for £290,000, 1 mark for subtracting £1,500]
- **Closing Inventory:** £44,700 (3 marks) [1 mark for recognizing £46,000, 1 mark for subtracting £4,000 cost of damaged items, 1 mark for adding NRV £2,700]
- **Cost of Sales:** £285,800 (1 mark of)
- **Gross Profit:** £194,200 (1 mark of)
- **Wages and salaries:** £48,500 (1 mark)
- **Rent and rates:** £23,000 (2 marks) [1 mark for £24,000, 1 mark for subtracting prepayment £1,000]
- **General expenses:** £20,000 (2 marks) [1 mark for £18,600, 1 mark for adding accrual £1,400]
- **Irrecoverable debts:** £3,000 (1 mark)
- **Increase in allowance for doubtful debts:** £150 (2 marks) [1 mark for calculating new allowance £2,550, 1 mark for subtracting old allowance £2,400]
- **Depreciation - Premises:** £4,000 (2 marks) [1 mark for using straight line on cost, 1 mark for calculation]
- **Depreciation - Equipment:** £7,200 (2 marks) [1 mark for using carrying value £48,000, 1 mark for calculation]
- **Profit for the year:** £88,350 (1 mark of)

**(b) Statement of Financial Position (15 marks):**
- **Premises carrying value:** £176,000 (2 marks) [1 mark for accumulated depreciation £24,000, 1 mark for Net Book Value]
- **Equipment carrying value:** £40,800 (2 marks) [1 mark for accumulated depreciation £39,200, 1 mark for Net Book Value]
- **Closing Inventory:** £44,700 (1 mark of)
- **Trade Receivables net of allowance:** £48,450 (2 marks) [1 mark for receivables £51,000, 1 mark for net of allowance £2,550]
- **Prepayment (Rent):** £1,000 (1 mark)
- **Equity Section:** (4 marks) [1 mark for opening capital £207,000, 1 mark for profit of £88,350, 1 mark for drawings £26,500 (showing cash + goods), 1 mark for correct closing capital total £268,850 of]
- **Current Liabilities:** (3 marks) [1 mark for Trade payables £36,500, 1 mark for Bank overdraft £4,200, 1 mark for Accruals £1,400]

**(c) Ratios (10 marks):**
- **(i) Gross profit margin %:** (3 marks) [1 mark for correct formula or values, 1 mark for correct math, 1 mark for 40.46% (to 2 d.p.)]
- **(ii) Profit for the year margin %:** (3 marks) [1 mark for formula/values, 1 mark for correct math, 1 mark for 18.41% (to 2 d.p.)]
- **(iii) Liquid ratio:** (4 marks) [1 mark for liquid assets formula/values (94,150 - 44,700), 1 mark for current liabilities, 1 mark for correct division, 1 mark for expression as a ratio 1.17 : 1]

**(d) Evaluation (8 marks):**
- **Level 1 (1–2 marks):** Basic points identified (e.g. computer is fast, but expensive). No specific application to Karan's business or a weak/non-existent conclusion.
- **Level 2 (3–5 marks):** Balanced points discussing benefits (speed, fewer math errors, reporting) and disadvantages (costs, training, data loss risks) applied to Karan. A basic conclusion is provided.
- **Level 3 (6–8 marks):** In-depth evaluation showing balanced understanding. Excellent application to a wholesaler context (handling numerous receivables/payables, inventory control). Clear, fully supported and justified recommendation.
題目 2 · Error Correction, Suspense Account and Ledger Accounts
55
Alex Thorne is a sole trader who runs Thorne Traders. The draft trial balance prepared on 31 December 2023 did not balance; the credit total exceeded the debit total by \(2,620\). A suspense account was opened to record the difference.

The draft profit for the year ended 31 December 2023 was \(42,800\) before any corrections were made.

Subsequent investigation revealed the following errors and omissions:
1. The Sales Day Book had been undercast by \(950\).
2. Rent received of \(800\) had been correctly entered in the cash book, but posted to the Rent Received account as \(80\).
3. A credit purchase of goods from V. Hale for \(720\) had been completely omitted from the books.
4. Purchase of office equipment for \(1,800\) on credit from Tech Supplies Ltd had been debited to the Office Stationery account.
5. A discount allowed of \(120\) had been correctly entered in the cash book but was posted to the credit of the discount received account as \(210\).
6. A credit sale of \(4,200\) to A. Smith was posted to his personal account as \(240\).

**Required**:
(a) Prepare the journal entries to correct errors (1) to (6). Narratives are required. *(18 marks)*
(b) Prepare the Suspense Account to show the correction of the relevant errors, balancing the account. *(12 marks)*
(c) Prepare a Statement of Corrected Profit for the year ended 31 December 2023, starting with the draft profit of \(42,800\). *(13 marks)*
(d) Evaluate the usefulness of maintaining control accounts to find and prevent errors in a business such as Thorne Traders. *(12 marks)*
查看答案詳解

解題

### Part (a) Journal Entries to Correct Errors (1) to (6)

| Error | Account Details | Debit (\(\)) | Credit (\(\)) |
|---|---|---|---|
| **(1)** | Suspense Account | 950 | |
| | Sales Account | | 950 |
| | *Being correction of undercast of Sales Day Book* | | |
| | | | |
| **(2)** | Suspense Account | 720 | |
| | Rent Received Account | | 720 |
| | *Being correction of rent received posted as \(80\) instead of \(800\)* | | |
| | | | |
| **(3)** | Purchases Account | 720 | |
| | V. Hale Account (Trade Payables) | | 720 |
| | *Being correction of credit purchase omitted from the books* | | |
| | | | |
| **(4)** | Office Equipment Account | 1,800 | |
| | Office Stationery Account | | 1,800 |
| | *Being correction of office equipment capital expenditure treated as revenue expenditure (stationery)* | | |
| | | | |
| **(5)** | Discount Allowed Account | 120 | |
| | Discount Received Account | 210 | |
| | Suspense Account | | 330 |
| | *Being correction of discount allowed posted to the credit of discount received* | | |
| | | | |
| **(6)** | A. Smith Account (Trade Receivables) | 3,960 | |
| | Suspense Account | | 3,960 |
| | *Being correction of credit sale of \(4,200\) posted to customer account as \(240\)* | | |

---

### Part (b) Suspense Account

```
Suspense Account
---------------------------------------------------------------------------------
Date Details Amount () | Date Details Amount ()
---------------------------------------------------------------------------------
31 Dec Balance b/d 2,620 | 31 Dec Discount Allowed 120
31 Dec Sales 950 | 31 Dec Discount Received 210
31 Dec Rent Received 720 | 31 Dec A. Smith 3,960
----------------------------------------|----------------------------------------
4,290 | 4,290
========================================|========================================
```

---

### Part (c) Statement of Corrected Profit for the Year Ended 31 December 2023

| Item / Error Correction | Increase (\(\)) | Decrease (\(\)) | Profit (\(\)) |
|---|---|---|---|
| **Draft Profit for the Year** | | | **42,800** |
| (1) Undercast of Sales Day Book | 950 | | |
| (2) Underposting of Rent Received | 720 | | |
| (3) Omission of Credit Purchase | | (720) | |
| (4) Stationery capitalised as Equipment | 1,800 | | |
| (5) Correction of Discount Allowed | | (120) | |
| (5) Correction of Discount Received | | (210) | |
| (6) Correction of A. Smith's personal ledger | - | - | |
| **Subtotals** | **3,470** | **(1,050)** | **2,420 (Net)** |
| **Corrected Profit for the Year** | | | **45,220** |

---

### Part (d) Evaluation of Maintaining Control Accounts

**Arguments for maintaining control accounts:**
- **Arithmetical Accuracy**: They check the arithmetical accuracy of the subsidiary personal ledgers (Trade Receivables and Trade Payables). Any error causing an imbalance between control accounts and the total of individual schedules is quickly highlighted.
- **Error Localization**: By separating the accounting system into different books and ledgers, control accounts narrow down the search for errors to a specific area (e.g., Sales Ledger or Purchases Ledger).
- **Fraud Prevention**: Different clerks can maintain control accounts and individual personal ledgers. This segregation of duties deters internal fraud and collusion.
- **Speed of Reporting**: Management can instantly obtain the total balance of trade receivables and trade payables for preparing financial statements without summing individual customer/supplier cards.

**Arguments against/Limitations of control accounts:**
- **Undetected Errors**: They do not detect errors of omission (e.g., Error 3), errors of principle (e.g., Error 4), errors of commission, or compensating errors. These errors do not disturb the agreement of control accounts.
- **Cost and Time**: For small businesses like Thorne Traders, preparing control accounts represents an extra administrative burden and increased staff costs.
- **Data Entry Errors**: If original daybooks contain errors (e.g., Sales Day Book undercast in Error 1), control accounts will still balance with the personal ledgers but both totals will be incorrect.

**Conclusion**:
Control accounts are highly beneficial for Thorne Traders as they act as a vital internal control check. They provide quick summaries and safeguard the system. However, they should not be relied upon exclusively; they must be supported by external audit tools, monthly bank reconciliations, and systematic reconciliations of personal accounts to prevent and discover errors that do not impact trial balance agreement.

評分準則

### Part (a): Journal Entries (18 Marks)
- **Errors (1) to (6)**: 3 marks per entry.
- **2 marks** for correct debits, credits, and values.
- **1 mark** for an appropriate, explanatory narrative.
- *Accept alternative wording for narratives, provided they explain the purpose of the journal correction.*

### Part (b): Suspense Account (12 Marks)
- **Balance b/d on Debit Side**: 2 marks (1 mark for correct value of \(2,620\), 1 mark for debit placement).
- **Sales (Debit)**: 2 marks.
- **Rent Received (Debit)**: 2 marks.
- **Discount Allowed / Discount Received (Credits)**: 2 marks (1 mark for each detail/value on correct side).
- **A. Smith (Credit)**: 2 marks.
- **Balancing/Totalling**: 2 marks (1 mark for matching totals of \(4,290\), 1 mark for clean balance-off with no leftover balance).

### Part (c): Statement of Corrected Profit (13 Marks)
- **Starting draft profit of \(42,800\)**: 1 mark.
- **Error 1 (+ \(950\))**: 2 marks.
- **Error 2 (+ \(720\))**: 2 marks.
- **Error 3 (- \(720\))**: 2 marks.
- **Error 4 (+ \(1,800\))**: 2 marks.
- **Error 5 (- \(120\) and - \(210\))**: 2 marks.
- **Error 6 (Nil effect / No change correctly stated)**: 2 marks (1 mark for correctly treating as having no effect, 1 mark for mathematically correct final profit of \(45,220\)).

### Part (d): Evaluation of Control Accounts (12 Marks)
- **Level 1 (1-3 marks)**: Candidate identifies simple advantages of control accounts. Limited structure and no evaluation.
- **Level 2 (4-6 marks)**: Candidate explains some advantages and/or limitations of control accounts with simple linkage to Thorne Traders.
- **Level 3 (7-9 marks)**: Balanced evaluation showing the benefits (accuracy check, fraud deterring) versus limitations (cannot find errors of omission, principle). Appropriate terminology used throughout.
- **Level 4 (10-12 marks)**: Candidate presents a detailed, balanced, and coherent argument covering both benefits and limitations, culminating in a clear, reasoned recommendation/conclusion on the overall usefulness of control accounts.

Unit 1 乙部

Answer any THREE questions from this section.
5 題目 · 150
題目 1 · essay
30
Aris is a sole trader who maintains control accounts as part of his accounting system. On 31 October 2023, his bookkeeper prepared a Trade Receivables Control Account which showed a debit balance of \(£39,440\). The schedule of trade receivables ledger balances extracted on the same date totaled \(£40,395\).

On investigation, the following errors and omissions were discovered:

1. The credit sales journal had been undercast by \(£1,200\).
2. A cash receipt of \(£310\) from M. Wood was correctly entered in the cash book but had not been posted to his personal account in the Sales Ledger.
3. A credit note for \(£450\) sent to J. Patel had been correctly entered in the sales returns journal but posted to the customer's personal account as \(£540\).
4. A contra/set-off of \(£800\) between the sales ledger and purchase ledger had been correctly entered in the personal ledger accounts but omitted from the control accounts.
5. A cheque received from G. Taylor for \(£400\) had been dishonoured. The cash book entry had been made but no entry had been made in either the control account or G. Taylor's personal account.
6. Interest of \(£75\) charged on an overdue account of S. Green had been correctly recorded in S. Green's personal account but completely omitted from the journal and control account.
7. A bad debt of \(£650\) written off had been recorded in the general journal and posted to the bad debts account, but no entries had been made in the control account or the customer's personal account.
8. A discount allowed of \(£130\) had been entered in the cash book but had been posted to the debit of the customer's personal account in error.

Required:

(a) Prepare the corrected Trade Receivables Control Account for the month ended 31 October 2023, showing the corrected balance brought down. (12 marks)

(b) Prepare a statement reconciling the total of the Trade Receivables Ledger balances with the corrected balance of the Trade Receivables Control Account. (8 marks)

(c) Explain two reasons why the balance on the Trade Receivables Control Account might not agree with the total of the Trade Receivables Ledger balances before reconciliation. (4 marks)

(d) Evaluate the extent to which maintaining control accounts prevents fraud in a business. (6 marks)
查看答案詳解

解題

**(a) Corrected Trade Receivables Control Account for the month ended 31 October 2023**

$$\begin{array}{lr|lr}
\textbf{Details} & \textbf{\pounds} & \textbf{Details} & \textbf{\pounds} \\
\hline
\text{Balance b/d (original)} & 39,440 & \text{Contra (set-off)} & 800 \\
\text{Sales (undercast adjustment)} & 1,200 & \text{Bad debts written off} & 650 \\
\text{Bank (dishonoured cheque)} & 400 & \text{Balance c/d} & 39,665 \\
\text{Interest charged} & 75 & & \\
\hline
& \mathbf{41,115} & & \mathbf{41,115} \\
\hline \hline
\text{Balance b/d} & \mathbf{39,665} & & \\
\end{array}$$

*(Note: Corrected balance carried down is \(£39,665\) debit)*

---

**(b) Statement Reconciling the Trade Receivables Ledger Balances with the Control Account Balance**

$$\begin{array}{lrr}
\textbf{Details} & \textbf{\pounds} & \textbf{\pounds} \\
\hline
\text{Draft total of trade receivables ledger balances} & & 40,395 \\
\text{Less: Receipt omitted from M. Wood's account} & & (310) \\
\text{Add: Error in Patel's credit note (\pounds 540 - \pounds 450)} & & 90 \\
\text{Add: Dishonoured cheque omitted from G. Taylor's account} & & 400 \\
\text{Less: Bad debt omitted from customer's account} & & (650) \\
\text{Less: Correction of discount debited in error (\pounds 130 \times 2)} & & (260) \\
\hline
\textbf{Corrected total of trade receivables ledger balances} & & \mathbf{39,665} \\
\hline \hline
\end{array}$$

---

**(c) Two reasons why the balances might not agree before reconciliation:**

1. **Undercasting/Overcasting of Prime Books:** Errors made when totaling columns in books of prime entry (such as the sales journal or cash book) will affect the control account because it receives the total totals. However, because individual postings are based on the correct single transactions, the ledger balances will be correct, creating a difference.
2. **Omissions in Ledger or Control Account Only:** Certain transactions may be posted to the control account but omitted from the personal accounts (or vice versa), such as interest charged on overdue accounts not being recorded in the general journal, or dishonoured cheques not posted to personal accounts.

---

**(d) Evaluation of Control Accounts in preventing fraud:**

* **Arguments for prevention of fraud:**
* **Division of duties:** Often, the control account is maintained by a senior accountant while the subsidiary ledger is maintained by a junior clerk. This makes it harder to commit fraud because it requires collusion between employees to falsify records.
* **Verification tool:** It serves as an independent check on the accuracy of the personal ledger balances. Discrepancies can quickly highlight unauthorised write-offs of bad debts or unrecorded cash receipts.

* **Arguments against prevention of fraud / Limitations:**
* **Collusion:** If two or more staff members work together, they can bypass the internal check provided by control accounts.
* **Single-person systems:** In smaller businesses where the same individual prepares both the control accounts and the subsidiary ledgers, the internal control is lost.
* **Undetected errors:** Control accounts do not detect errors of omission, commission, or compensating errors which can still hide fraudulent activities.

* **Conclusion:** Control accounts do not prevent fraud directly, but act as a strong deterrent and an effective tool for detecting discrepancies. Therefore, they should be supported by other internal control procedures such as regular audits, mandatory rotation of duties, and verification of source documents.

評分準則

**(a) Corrected Trade Receivables Control Account**
* Draft Balance b/d: (1) Mark
* Sales undercast adjustment (\(£1,200\) Dr): (2) Marks [1 method, 1 accuracy]
* Bank/dishonoured cheque (\(£400\) Dr): (2) Marks [1 method, 1 accuracy]
* Interest charged (\(£75\) Dr): (2) Marks [1 method, 1 accuracy]
* Contra/set-off (\(£800\) Cr): (2) Marks [1 method, 1 accuracy]
* Bad debt written off (\(£650\) Cr): (2) Marks [1 method, 1 accuracy]
* Balance c/d and b/d (\(£39,665\)): (1) Mark
*Total: 12 Marks*

**(b) Statement Reconciling the Trade Receivables Ledger Balances**
* Draft total (\(£40,395\)): (1) Mark
* M. Wood receipt omitted (\(-£310\)): (1) Mark
* Patel credit note adjustment (\(+£90\)): (2) Marks [1 method, 1 accuracy]
* G. Taylor dishonoured cheque (\(+£400\)): (1) Mark
* Bad debt omitted (\(-£650\)): (1) Mark
* Discount allowed debited in error (\(-£260\)): (1) Mark
* Reconciled total (\(£39,665\)): (1) Mark
*Total: 8 Marks*

**(c) Explanation of differences**
* 2 Marks per explained reason (1 mark for identifying the type of error, 1 mark for clear explanation of how it creates a mismatch between the control account and the ledger).
*Total: 4 Marks*

**(d) Evaluation**
* Up to 2 Marks for arguments supporting the view that control accounts prevent/detect fraud (e.g., division of duties, independent checks).
* Up to 2 Marks for arguments showing limitations (e.g., collusion, single-person accounting systems, errors that control accounts do not reveal).
* Up to 2 Marks for a reasoned conclusion.
*Total: 6 Marks*
題目 2 · Written
30
The Oakwood Tennis Club operates a bar for its members. On the night of 31 December 2023, the clubhouse was broken into. All the bar cash in hand kept at the club was stolen, along with a quantity of bar inventory.

The following information is available for the year ended 31 December 2023:

1. Assets and liabilities:
- Clubhouse and courts (at cost): 1 January 2023 \($120,000\); 31 December 2023 \($120,000\)
- Club equipment (carrying value): 1 January 2023 \($18,000\)
- Bar inventory: 1 January 2023 \($4,200\); 31 December 2023 (remaining after theft) \($1,100\)
- Bar trade payables: 1 January 2023 \($2,800\); 31 December 2023 \($3,150\)
- Subscriptions in arrears: 1 January 2023 \($600\); 31 December 2023 \($900\)
- Subscriptions in advance: 1 January 2023 \($400\); 31 December 2023 \($500\)
- Cash in hand (Bar): 1 January 2023 \($350\)

2. Receipts and payments through the bank account during the year:
Receipts:
- Subscriptions received: \($18,500\)
- Bar takings deposited into bank: \($14,200\)
- Competition entry fees: \($2,400\)

Payments:
- Bar suppliers: \($9,600\)
- Rent and rates: \($4,800\)
- Clubhouse heating and lighting: \($3,200\)
- Competition prizes: \($1,100\)
- General expenses: \($2,950\)
- Purchase of new equipment (on 1 July 2023): \($6,000\)

3. Additional information:
- The bar sells all goods at a constant mark-up of 25%.
- Total cash bar takings during the year ended 31 December 2023 were \($15,800\). Out of this, \($14,200\) had been banked, and \($900\) had been used directly to pay bar wages. The remaining cash was kept in the safe and was stolen.
- Club equipment is depreciated at 15% per annum on the reducing balance method. Additional equipment bought on 1 July 2023 is depreciated pro-rata for the time owned.

Required:

(a) Calculate:
(i) the value of cash stolen (4 marks)
(ii) the value of bar purchases for the year (3 marks)
(iii) the value of inventory stolen on 31 December 2023 (5 marks)

(b) Prepare the Bar Trading Account for the year ended 31 December 2023, showing the profit or loss made by the bar. (6 marks)

(c) Prepare the Income and Expenditure Account for the year ended 31 December 2023. (8 marks)

(d) Evaluate the club committee's proposal to introduce a computerized point-of-sale (POS) and inventory control system. (4 marks)
查看答案詳解

解題

(a) Calculations:

(i) Cash Stolen:
- Opening cash (1 Jan 2023): \($350\)
- Add: Bar takings: \(+\$15,800\)
- Less: Banked: \(-\$14,200\)
- Less: Bar wages paid in cash: \(-\ $900\)
- Expected closing cash: \(\$1,050\)
- Actual closing cash: \(\$0\) (all stolen)
- Cash Stolen = \(\$1,050\)

(ii) Bar Purchases:
- Payments to suppliers: \(\$9,600\)
- Add: Closing trade payables: \(+\$3,150\)
- Less: Opening trade payables: \(-\$2,800\)
- Bar Purchases = \(\$9,950\)

(iii) Inventory Stolen:
- Cost of Goods Sold (actual sales / 1.25): \(\$15,800 / 1.25 = \$12,640\)
- Expected Closing Inventory = Opening Inventory + Purchases - Cost of Goods Sold
- Expected Closing Inventory = \(\$4,200 + \$9,950 - \$12,640 = \$1,510\)
- Inventory Stolen = Expected Closing Inventory - Actual Remaining Inventory
- Inventory Stolen = \(\$1,510 - \$1,100 = \$410\)

(b) Bar Trading Account for the year ended 31 December 2023:

- Bar Revenue (Takings): \(\$15,800\)
- Less: Cost of Sales
- Opening Inventory: \(\$4,200\)
- Add: Purchases: \(\$9,950\)
- Less: Closing Inventory (Remaining): \((\$1,100)\)
- Less: Stolen Inventory: \((\$410)\)
- Cost of Goods Sold: \((\$12,640)\)
- Gross Profit: \(\$3,160\)
- Less: Bar Wages: \((\$900)\)
- Bar Profit: \(\$2,260\)

(c) Income and Expenditure Account for the year ended 31 December 2023:

Income:
- Subscriptions (\(\$18,500 + \$900 - \$600 + \$400 - \$500\)): \(\$18,700\)
- Competition Surplus (\(\$2,400 - \$1,100\)): \(\$1,300\)
- Bar Profit: \(\flat\$2,260\)
Total Income: \(\$22,260\)

Expenditure:
- Rent and rates: \(\$4,800\)
- Clubhouse heating and lighting: \(\$3,200\)
- General expenses: \(\flat\$2,950\)
- Depreciation of equipment:
- On existing equipment (\(\$18,000 \times 15\%\)): \(\$2,700\)
- On new equipment (\(\$6,000 \times 15\% \times 6/12\)): \(\$450\)
- Total Depreciation: \(\$3,150\)
- Loss on theft:
- Cash stolen: \(\$1,050\)
- Inventory stolen: \(\$410\)
- Total Loss: \(\$1,460\)
Total Expenditure: \(\$15,560\)

Surplus of Income over Expenditure: \(\$22,260 - \$15,560 = \$6,700\)

(d) Evaluation:
- Arguments for: A computerized POS system provides automated tracking of inventory levels, reduces the risk of cash-handling discrepancies, and helps prevent future theft. It also provides useful sales data to optimize bar operations.
- Arguments against: The system involves significant initial installation costs and potential ongoing software license fees. It also requires training, which may be difficult for a club run largely by volunteers.
- Conclusion: Although costly, given the club's recent total loss of \(\$1,460\) due to theft, the introduction of a computerized system is recommended to strengthen internal controls and protect the club's financial resources.

評分準則

(a) (i) Cash Stolen (4 marks):
- \(\$350\) (1)
- \(+\$15,800\) (1)
- \(-\$14,200\) (1)
- \(-\$900\) (1) for expected cash calculation of \(\$1,050\).

(a) (ii) Bar Purchases (3 marks):
- \(\$9,600\) (1)
- Adjustments for opening payables \(-\$2,800\) and closing payables \(+\$3,150\) (1)
- Final correct answer \(\flat\$9,950\) (1).

(a) (iii) Inventory Stolen (5 marks):
- Formula / Use of mark-up to get Cost of Goods Sold = \(\$12,640\) (2)
- Expected closing inventory calculation \(\$1,510\) (1)
- Stolen inventory = Expected \(\$1,510\) - Actual \(\$1,100\) = \(\$410\) (2).

(b) Bar Trading Account (6 marks):
- Bar Revenue \(\$15,800\) (1)
- Correct presentation of Cost of Sales including purchases and deduction of stolen/remaining inventory (2)
- Gross Profit \(\$3,160\) (1)
- Deduction of Bar Wages \(\$900\) (1)
- Bar Profit \(\$2,260\) (1).

(c) Income and Expenditure Account (8 marks):
- Subscriptions calculation \(\$18,700\) (2)
- Competition Surplus \(\$1,300\) (1)
- Bar Profit transfer \(\$2,260\) (1)
- Correct other expenses (Rent, Heating, General) (1)
- Depreciation of Equipment \(\$3,150\) (1)
- Loss on Theft of \(\$1,460\) included (1)
- Final Surplus of \(\$6,700\) correct (1).

(d) Evaluation (4 marks):
- 1 mark: Argument in favor of computerized system (e.g. enhanced stock tracking, better control).
- 1 mark: Argument against system (e.g. high initial capital expenditure, volunteer training).
- 1-2 marks: Clear conclusion recommending or advising against, with justification linked to club size/losses.
題目 3 · 乙部
30
AeroTech Solutions is a manufacturing company with two production departments (Machining and Assembly) and two service departments (Maintenance and Canteen).

The following budgeted overhead costs are available for the month ended 30 April:
- Factory Rent: £24,000
- Factory Power: £18,000
- Supervision: £12,000
- Depreciation of Machinery: £15,000

The following departmental information is also available:
StatisticMachiningAssemblyMaintenanceCanteenTotalFloor Area (sq m)3,0002,0005005006,000Kilowatt Hours (kWh)8,0002,0001,0001,00012,000Number of Employees2020101060Machine Value (£)120,00020,00010,0000150,000
Budgeted activity levels:
- Machining department: 10,000 machine hours
- Assembly department: 5,000 direct labour hours

Additional information:
1. Canteen overhead costs are re-apportioned based on the number of employees in the other departments.
2. Maintenance costs are re-apportioned on the basis that Maintenance services are consumed 75% by Machining and 25% by Assembly.
3. Actual activity and overhead results for the month ended 30 April were:
- Machining department: 9,800 actual machine hours worked; actual overheads incurred: £48,500.
- Assembly department: 5,200 actual direct labour hours worked; actual overheads incurred: £21,400.

Required:
(a) Prepare the overhead analysis sheet showing the primary allocation and apportionment of overheads to the four departments. (12 marks)
(b) Re-apportion the service department overheads to the production departments. (6 marks)
(c) Calculate the predetermined overhead absorption rate (OAR) for:
    (i) Machining department (using machine hours) (2 marks)
    (ii) Assembly department (using direct labour hours) (2 marks)
(d) Calculate the under- or over-absorption of overheads for:
    (i) Machining department (3 marks)
    (ii) Assembly department (3 marks)
(e) Evaluate whether AeroTech Solutions should use a single factory-wide overhead absorption rate instead of departmental rates. (4 marks)
查看答案詳解

解題

(a) Primary Apportionment of Overheads
Overhead CostBasis of ApportionmentTotal (£)Machining (£)Assembly (£)Maintenance (£)Canteen (£)Factory RentFloor Area (3:2:0.5:0.5)24,00012,0008,0002,0002,000Factory PowerKilowatt Hours (8:2:1:1)18,00012,0003,0001,5001,500SupervisionNumber of Employees (2:2:1:1)12,0004,0004,0002,0002,000DepreciationMachine Value (12:2:1:0)15,00012,0002,0001,0000Primary Totals69,00040,00017,0006,5005,500

(b) Re-apportionment of Service Departments
- Canteen costs (£5,500) re-apportioned on number of employees (excluding Canteen: Machining 20, Assembly 20, Maintenance 10. Total = 50). Rate: \( \frac{£5,500}{50} = £110 \) per employee.
- Machining: \( 20 \times £110 = £2,200 \)
- Assembly: \( 20 \times £110 = £2,200 \)
- Maintenance: \( 10 \times £110 = £1,100 \)

- Maintenance costs total: \( £6,500 + £1,100 = £7,600 \). Re-apportioned based on consumption (75% to Machining, 25% to Assembly).
- Machining: \( 75\% \times £7,600 = £5,700 \)
- Assembly: \( 25\% \times £7,600 = £1,900 \)

Secondary Totals:
- Machining: \( £40,000 + £2,200 + £5,700 = £47,900 \)
- Assembly: \( £17,000 + £2,200 + £1,900 = £21,100 \)

(c) Overhead Absorption Rates (OAR)
(i) Machining OAR: \( \frac{£47,900}{10,000 \text{ machine hours}} = £4.79 \) per machine hour.
(ii) Assembly OAR: \( \frac{£21,100}{5,000 \text{ direct labour hours}} = £4.22 \) per direct labour hour.

(d) Under- or Over-absorption of Overheads
(i) Machining Department:
- Absorbed Overheads: \( 9,800 \text{ actual hours} \times £4.79/\text{hour} = £46,942 \)
- Actual Overheads: £48,500
- Since Actual \( > \) Absorbed, overheads are under-absorbed by: \( £48,500 - £46,942 = £1,558 \)

(ii) Assembly Department:
- Absorbed Overheads: \( 5,200 \text{ actual hours} \times £4.22/\text{hour} = £21,944 \)
- Actual Overheads: £21,400
- Since Absorbed \( > \) Actual, overheads are over-absorbed by: \( £21,944 - £21,400 = £544 \)

(e) Evaluation of Single Factory-wide vs Departmental Rates
- Arguments for departmental rates: Highly accurate because different production departments have distinct natures. Machining is highly automated and machine-intensive (machine hours drive costs), while Assembly is highly manual and labour-intensive (labour hours drive costs). Departmental rates reflect these cost drivers accurately.
- Arguments for factory-wide rates: It is simpler, easier to calculate, and involves lower administrative cost since detailed service department usage records are not required.
- Conclusion: AeroTech Solutions should continue to use departmental rates. A single rate would distort product costs (e.g., under-costing machine-heavy products and over-costing labour-heavy products), leading to poor pricing strategies and uncompetitive bidding.

評分準則

(a) Primary Apportionment: (12 marks in total)
- 1 mark for each overhead row allocation basis listed correctly (Rent: Floor Area, Power: kWh, Supervision: Employees, Depreciation: Machine Value) (max 2 marks).
- Rent apportionment: £12,000 / £8,000 / £2,000 / £2,000 (2 marks for all correct; 1 mark if 1-2 errors).
- Power apportionment: £12,000 / £3,000 / £1,500 / £1,500 (2 marks for all correct; 1 mark if 1-2 errors).
- Supervision apportionment: £4,000 / £4,000 / £2,000 / £2,000 (2 marks for all correct; 1 mark if 1-2 errors).
- Depreciation apportionment: £12,000 / £2,000 / £1,000 / £0 (2 marks for all correct; 1 mark if 1-2 errors).
- Column primary totals: £40,000 / £17,000 / £6,500 / £5,500 (2 marks for all correct).

(b) Re-apportionment: (6 marks in total)
- Apportionment of Canteen: £2,200 (Machining), £2,200 (Assembly), £1,100 (Maintenance) (3 marks; 1 mark for each).
- Maintenance Total of £7,600 identified and apportioned: £5,700 (Machining), £1,900 (Assembly) (3 marks; 1 mark for correct Maintenance sum, 2 marks for correct split).

(c) Overhead Absorption Rates: (4 marks in total)
- (i) Machining OAR: £4.79 (2 marks; 1 mark for formula/working, 1 mark for accuracy).
- (ii) Assembly OAR: £4.22 (2 marks; 1 mark for formula/working, 1 mark for accuracy).

(d) Under- or Over-absorption: (6 marks in total)
- (i) Machining: Absorbed £46,942 (1 mark); £1,558 Under-absorbed (2 marks). (Award marks if OF based on OAR from (c)).
- (ii) Assembly: Absorbed £21,944 (1 mark); £544 Over-absorbed (2 marks). (Award marks if OF based on OAR from (c)).

(e) Evaluation: (4 marks in total)
- 1 mark for point supporting departmental rates (different cost drivers / accuracy).
- 1 mark for point supporting single rate (simplicity / administrative efficiency).
- 1 mark for application to AeroTech Solutions (Machining is machine-intensive, Assembly is labour-intensive).
- 1 mark for a clear conclusion / recommendation.
題目 4 · Ratio Calculations, Interpretations and Evaluations
30
VeloCity Spares is a retail business selling specialized bicycle components. The following financial details are available for the years ended 31 December 2022 and 31 December 2023:

| Financial Statement Extracts | Year ended 31 Dec 2022 | Year ended 31 Dec 2023 |
| :--- | :---: | :---: |
| Revenue (all credit sales) | £600 000 | £800 000 |
| Cost of sales | £360 000 | £520 000 |
| Gross profit | £240 000 | £280 000 |
| Operating expenses | £120 000 | £160 000 |
| Finance costs (Interest) | £10 000 | £15 000 |
| Profit for the year | £110 000 | £105 000 |
| | | |
| **Statement of Financial Position extracts** | | |
| Non-current assets (carrying value) | £315 000 | £415 000 |
| Opening inventory | £40 000 | £50 000 |
| Closing inventory | £50 000 | £80 000 |
| Trade receivables | £60 000 | £100 000 |
| Bank balance | £15 000 (Dr) | £65 000 (Cr Overdraft) |
| Equity / Capital | £300 000 | £310 000 |
| 9% Bank loan (Non-current liability) | £100 000 | £150 000 |
| Trade payables | £40 000 | £70 000 |

The following ratios were calculated for the year ended 31 December 2022:
* Gross profit percentage: 40.00%
* Profit for the year to revenue percentage: 18.33%
* Rate of inventory turnover (using average inventory): 8 times
* Trade receivables collection period: 36.5 days
* Liquid (acid test) ratio: 1.88 : 1
* Return on capital employed (ROCE) (using profit before interest): 30.00%

**Required**

**(a)** Calculate the following ratios for VeloCity Spares for the year ended 31 December 2023, showing the formulas used in each case (round answers to two decimal places where necessary):
1. Gross profit percentage
2. Profit for the year to revenue percentage
3. Rate of inventory turnover (using average inventory)
4. Trade receivables collection period
5. Liquid (acid test) ratio
6. Return on capital employed (ROCE) (using profit before interest) *(12 marks)*

**(b)** Analyse the changes in profitability and liquidity of VeloCity Spares between 2022 and 2023. *(10 marks)*

**(c)** Evaluate whether the management of VeloCity Spares should fund future expansion through an additional long-term bank loan or by inviting a new partner to invest capital. *(8 marks)*
查看答案詳解

解題

### **Part (a) Ratio Calculations (12 marks)**

1. **Gross profit percentage**
$$\text{Formula: } \frac{\text{Gross Profit}}{\text{Revenue}} \times 100$$
$$\text{Calculation: } \frac{\pounds 280\ 000}{\pounds 800\ 000} \times 100 = 35.00\%$$

2. **Profit for the year to revenue percentage**
$$\text{Formula: } \frac{\text{Profit for the year}}{\text{Revenue}} \times 100$$
$$\text{Calculation: } \frac{\pounds 105\ 000}{\pounds 800\ 000} \times 100 = 13.13\%$$

3. **Rate of inventory turnover**
$$\text{Formula: } \frac{\text{Cost of sales}}{\text{Average inventory}} \quad \text{where Average inventory} = \frac{\text{Opening} + \text{Closing}}{2}$$
$$\text{Average inventory} = \frac{\pounds 50\ 000 + \pounds 80\ 000}{2} = \pounds 65\ 000$$
$$\text{Calculation: } \frac{\pounds 520\ 000}{\pounds 65\ 000} = 8.00 \text{ times}$$
*(Accept \(\frac{\text{Cost of Sales}}{\text{Closing Inventory}}\) = \(\frac{520\ 000}{80\ 000} = 6.50 \text{ times}\) with formula)*

4. **Trade receivables collection period**
$$\text{Formula: } \frac{\text{Trade receivables}}{\text{Credit sales}} \times 365 \text{ days}$$
$$\text{Calculation: } \frac{\pounds 100\ 000}{\pounds 800\ 000} \times 365 = 45.63 \text{ days} \quad (\text{accept 46 days})$$

5. **Liquid (acid test) ratio**
$$\text{Formula: } \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}$$
$$\text{Current Assets} - \text{Inventory} = \text{Trade Receivables} = \pounds 100\ 000$$
$$\text{Current Liabilities} = \text{Trade Payables} (\pounds 70\ 000) + \text{Bank Overdraft} (\pounds 65\ 000) = \pounds 135\ 000$$
$$\text{Calculation: } \frac{\pounds 100\ 000}{\pounds 135\ 000} = 0.74 : 1$$

6. **Return on capital employed (ROCE)**
$$\text{Formula: } \frac{\text{Operating profit (Profit before interest)}}{\text{Capital employed}} \times 100$$
$$\text{Operating profit} = \text{Profit for the year } (\pounds 105\ 000) + \text{Interest } (\pounds 15\ 000) = \pounds 120\ 000$$
$$\text{Capital employed} = \text{Equity } (\pounds 310\ 000) + \text{Non-current liabilities } (\pounds 150\ 000) = \pounds 460\ 000$$
$$\text{Calculation: } \frac{\pounds 120\ 000}{\pounds 460\ 000} \times 100 = 26.09\%$$

---

### **Part (b) Analysis of Profitability and Liquidity (10 marks)**

* **Profitability analysis:**
* Gross profit margin deteriorated from 40.00% to 35.00% (decrease of 5.00%). This indicates a higher cost of sales per pound of sales, likely due to supplier cost increases or selling items at discount prices to push volume.
* Net profit margin decreased from 18.33% to 13.13% (decrease of 5.20%). The drop is mostly caused by the drop in gross profit margin, though rising interest expenses (due to the larger bank loan) also contributed to the decline.
* ROCE dropped from 30.00% to 26.09% (decrease of 3.91%). While operating profit stayed flat at £120 000, capital employed expanded from £400 000 to £460 000, meaning the efficiency of capital usage has decreased.

* **Liquidity analysis:**
* The liquid (acid test) ratio decreased drastically from 1.88:1 to 0.74:1, moving below the recommended benchmark of 1:1. The business is now at risk of not meeting short-term obligations when due.
* The trade receivables collection period slowed down from 36.5 days to 45.63 days, suggesting poor credit control and delayed inflows from customers.
* Cash position has severely deteriorated, shifting from a positive bank balance of £15 000 to a large overdraft of £65 000. This is compounded by funds being tied up in increased closing inventory (£80 000 vs £50 000) and receivables.

---

### **Part (c) Evaluation (8 marks)**

* **Option 1: Additional Bank Loan**
* **Arguments For:** Owners retain full control of the strategic decisions and do not dilute their share of profit ownership.
* **Arguments Against:** Gearing is already high, and interest expense has increased from £10 000 to £15 000. Adding more debt increases financial distress risks. Banks may refuse the loan or demand higher rates due to the £65 000 overdraft and low acid-test ratio (0.74:1).

* **Option 2: Inviting a New Partner**
* **Arguments For:** Brings in permanent capital which does not require interest payments or principal repayments. This directly improves liquidity and can be used to pay down the overdraft. A new partner might also bring valuable expertise and management skills to help run the expanding operations.
* **Arguments Against:** Dilutes ownership and profit share among original owners. Decision-making could become slower, and conflict could arise in future operations.

* **Conclusion/Recommendation:**
VeloCity Spares' liquidity is currently weak (acid test 0.74:1, overdraft of £65 000). Worsening this position with further debt-servicing obligations is highly risky. Inviting a partner is the safer, more sustainable method for future expansion.

評分準則

### **Marking Scheme**

#### **Part (a): Ratio Calculations (12 marks)**
* **Award 2 marks per ratio** (1 mark for correct formula, 1 mark for correct calculation/answer).
* **1. Gross profit percentage**: 35.00% (2)
* **2. Profit for the year to revenue percentage**: 13.13% (2)
* **3. Rate of inventory turnover**: 8 times (or 6.5 times if closing inventory used) (2)
* **4. Trade receivables collection period**: 45.63 days or 46 days (2)
* **5. Liquid (acid test) ratio**: 0.74 : 1 (2)
* **6. Return on capital employed (ROCE)**: 26.09% (or 26.1%) (2)

#### **Part (b): Analysis (10 marks)**
* **Up to 5 marks for Profitability Analysis:**
* **1 mark** for noting decrease in GP% and identifying potential causes (e.g., higher cost of sales/discounts).
* **1 mark** for noting decrease in net profit percentage and linking it to the GP% drop and finance costs.
* **1 mark** for calculating/identifying flat operating profit of £120 000.
* **1 mark** for noting ROCE drop and linking it to increased capital employed.
* **1 mark** for overall concluding trend statement on profitability.
* **Up to 5 marks for Liquidity Analysis:**
* **1 mark** for noting the dramatic decrease in the liquid ratio below the standard 1:1.
* **1 mark** for noting the collection period increase by approx. 9 days and mentioning poor credit control.
* **1 mark** for identifying the shift from cash surplus to overdraft of £65 000.
* **1 mark** for noting closing inventory has risen, tying up working capital.
* **1 mark** for summarizing the liquidity threat/cash squeeze.

#### **Part (c): Evaluation (8 marks)**
* **Levels-based marking for evaluation:**
* **1 - 2 marks:** Basic points made about loans or partnerships with little integration of computed financial data.
* **3 - 5 marks:** Balanced discussion showing benefits and drawbacks of both options, with some connection to the computed ratios (e.g., referencing high debt/overdraft/low liquid ratio).
* **6 - 8 marks:** Excellent, balanced evaluation with clear references to the business's specific current financial situation (liquid ratio of 0.74:1, overdraft of £65 000), concluding with a justified recommendation.
題目 5 · Ratio Calculations, Interpretations and Evaluations
30
VeloCity Spares is a retail business selling specialized bicycle components. The following financial details are available for the years ended 31 December 2022 and 31 December 2023:

| Financial Statement Extracts | Year ended 31 Dec 2022 | Year ended 31 Dec 2023 |
| :--- | :---: | :---: |
| Revenue (all credit sales) | £600 000 | £800 000 |
| Cost of sales | £360 000 | £520 000 |
| Gross profit | £240 000 | £280 000 |
| Operating expenses | £120 000 | £160 000 |
| Finance costs (Interest) | £10 000 | £15 000 |
| Profit for the year | £110 000 | £105 000 |
| | | |
| **Statement of Financial Position extracts** | | |
| Non-current assets (carrying value) | £315 000 | £415 000 |
| Opening inventory | £40 000 | £50 000 |
| Closing inventory | £50 000 | £80 000 |
| Trade receivables | £60 000 | £100 000 |
| Bank balance | £15 000 (Dr) | £65 000 (Cr Overdraft) |
| Equity / Capital | £300 000 | £310 000 |
| 9% Bank loan (Non-current liability) | £100 000 | £15 0000 |
| Trade payables | £40 000 | £70 000 |

The following ratios were calculated for the year ended 31 December 2022:
* Gross profit percentage: 40.00%
* Profit for the year to revenue percentage: 18.33%
* Rate of inventory turnover (using average inventory): 8 times
* Trade receivables collection period: 36.5 days
* Liquid (acid test) ratio: 1.88 : 1
* Return on capital employed (ROCE) (using profit before interest): 30.00%

**Required**

**(a)** Calculate the following ratios for VeloCity Spares for the year ended 31 December 2023, showing the formulas used in each case (round answers to two decimal places where necessary):
1. Gross profit percentage
2. Profit for the year to revenue percentage
3. Rate of inventory turnover (using average inventory)
4. Trade receivables collection period
5. Liquid (acid test) ratio
6. Return on capital employed (ROCE) (using profit before interest) *(12 marks)*

**(b)** Analyse the changes in profitability and liquidity of VeloCity Spares between 2022 and 2023. *(10 marks)*

**(c)** Evaluate whether the management of VeloCity Spares should fund future expansion through an additional long-term bank loan or by inviting a new partner to invest capital. *(8 marks)*
查看答案詳解

解題

### **Part (a) Ratio Calculations (12 marks)**

1. **Gross profit percentage**
$$\text{Formula: } \frac{\text{Gross Profit}}{\text{Revenue}} \times 100$$
$$\text{Calculation: } \frac{\pounds 280\ 000}{\pounds 800\ 000} \times 100 = 35.00\%$$

2. **Profit for the year to revenue percentage**
$$\text{Formula: } \frac{\text{Profit for the year}}{\text{Revenue}} \times 100$$
$$\text{Calculation: } \frac{\pounds 105\ 000}{\pounds 800\ 000} \times 100 = 13.13\%$$

3. **Rate of inventory turnover**
$$\text{Formula: } \frac{\text{Cost of sales}}{\text{Average inventory}} \quad \text{where Average inventory} = \frac{\text{Opening} + \text{Closing}}{2}$$
$$\text{Average inventory} = \frac{\pounds 50\ 000 + \pounds 80\ 000}{2} = \pounds 65\ 000$$
$$\text{Calculation: } \frac{\pounds 520\ 000}{\pounds 65\ 000} = 8.00 \text{ times}$$
*(Accept \(\frac{\text{Cost of Sales}}{\text{Closing Inventory}}\) = \(\frac{520\ 000}{80\ 000} = 6.50 \text{ times}\) with formula)*

4. **Trade receivables collection period**
$$\text{Formula: } \frac{\text{Trade receivables}}{\text{Credit sales}} \times 365 \text{ days}$$
$$\text{Calculation: } \frac{\pounds 100\ 000}{\pounds 800\ 000} \times 365 = 45.63 \text{ days} \quad (\text{accept 46 days})$$

5. **Liquid (acid test) ratio**
$$\text{Formula: } \frac{\text{Current Assets} - \text{Inventory}}{\text{Current Liabilities}}$$
$$\text{Current Assets} - \text{Inventory} = \text{Trade Receivables} = \pounds 100\ 000$$
$$\text{Current Liabilities} = \text{Trade Payables} (\pounds 70\ 000) + \text{Bank Overdraft} (\pounds 65\ 000) = \pounds 135\ 000$$
$$\text{Calculation: } \frac{\pounds 100\ 000}{\pounds 135\ 000} = 0.74 : 1$$

6. **Return on capital employed (ROCE)**
$$\text{Formula: } \frac{\text{Operating profit (Profit before interest)}}{\text{Capital employed}} \times 100$$
$$\text{Operating profit} = \text{Profit for the year } (\pounds 105\ 000) + \text{Interest } (\pounds 15\ 000) = \pounds 120\ 000$$
$$\text{Capital employed} = \text{Equity } (\pounds 310\ 000) + \text{Non-current liabilities } (\pounds 150\ 000) = \pounds 460\ 000$$
$$\text{Calculation: } \frac{\pounds 120\ 000}{\pounds 460\ 000} \times 100 = 26.09\%$$

---

### **Part (b) Analysis of Profitability and Liquidity (10 marks)**

* **Profitability analysis:**
* Gross profit margin deteriorated from 40.00% to 35.00% (decrease of 5.00%). This indicates a higher cost of sales per pound of sales, likely due to supplier cost increases or selling items at discount prices to push volume.
* Net profit margin decreased from 18.33% to 13.13% (decrease of 5.20%). The drop is mostly caused by the drop in gross profit margin, though rising interest expenses (due to the larger bank loan) also contributed to the decline.
* ROCE dropped from 30.00% to 26.09% (decrease of 3.91%). While operating profit stayed flat at £120 000, capital employed expanded from £400 000 to £460 000, meaning the efficiency of capital usage has decreased.

* **Liquidity analysis:**
* The liquid (acid test) ratio decreased drastically from 1.88:1 to 0.74:1, moving below the recommended benchmark of 1:1. The business is now at risk of not meeting short-term obligations when due.
* The trade receivables collection period slowed down from 36.5 days to 45.63 days, suggesting poor credit control and delayed inflows from customers.
* Cash position has severely deteriorated, shifting from a positive bank balance of £15 000 to a large overdraft of £65 000. This is compounded by funds being tied up in increased closing inventory (£80 000 vs £50 000) and receivables.

---

### **Part (c) Evaluation (8 marks)**

* **Option 1: Additional Bank Loan**
* **Arguments For:** Owners retain full control of the strategic decisions and do not dilute their share of profit ownership.
* **Arguments Against:** Gearing is already high, and interest expense has increased from £10 000 to £15 000. Adding more debt increases financial distress risks. Banks may refuse the loan or demand higher rates due to the £65 000 overdraft and low acid-test ratio (0.74:1).

* **Option 2: Inviting a New Partner**
* **Arguments For:** Brings in permanent capital which does not require interest payments or principal repayments. This directly improves liquidity and can be used to pay down the overdraft. A new partner might also bring valuable expertise and management skills to help run the expanding operations.
* **Arguments Against:** Dilutes ownership and profit share among original owners. Decision-making could become slower, and conflict could arise in future operations.

* **Conclusion/Recommendation:**
VeloCity Spares' liquidity is currently weak (acid test 0.74:1, overdraft of £65 000). Worsening this position with further debt-servicing obligations is highly risky. Inviting a partner is the safer, more sustainable method for future expansion.

評分準則

### **Marking Scheme**

#### **Part (a): Ratio Calculations (12 marks)**
* **Award 2 marks per ratio** (1 mark for correct formula, 1 mark for correct calculation/answer).
* **1. Gross profit percentage**: 35.00% (2)
* **2. Profit for the year to revenue percentage**: 13.13% (2)
* **3. Rate of inventory turnover**: 8 times (or 6.5 times if closing inventory used) (2)
* **4. Trade receivables collection period**: 45.63 days or 46 days (2)
* **5. Liquid (acid test) ratio**: 0.74 : 1 (2)
* **6. Return on capital employed (ROCE)**: 26.09% (or 26.1%) (2)

#### **Part (b): Analysis (10 marks)**
* **Up to 5 marks for Profitability Analysis:**
* **1 mark** for noting decrease in GP% and identifying potential causes (e.g., higher cost of sales/discounts).
* **1 mark** for noting decrease in net profit percentage and linking it to the GP% drop and finance costs.
* **1 mark** for calculating/identifying flat operating profit of £120 000.
* **1 mark** for noting ROCE drop and linking it to increased capital employed.
* **1 mark** for overall concluding trend statement on profitability.
* **Up to 5 marks for Liquidity Analysis:**
* **1 mark** for noting the dramatic decrease in the liquid ratio below the standard 1:1.
* **1 mark** for noting the collection period increase by approx. 9 days and mentioning poor credit control.
* **1 mark** for identifying the shift from cash surplus to overdraft of £65 000.
* **1 mark** for noting closing inventory has risen, tying up working capital.
* **1 mark** for summarizing the liquidity threat/cash squeeze.

#### **Part (c): Evaluation (8 marks)**
* **Levels-based marking for evaluation:**
* **1 - 2 marks:** Basic points made about loans or partnerships with little integration of computed financial data.
* **3 - 5 marks:** Balanced discussion showing benefits and drawbacks of both options, with some connection to the computed ratios (e.g., referencing high debt/overdraft/low liquid ratio).
* **6 - 8 marks:** Excellent, balanced evaluation with clear references to the business's specific current financial situation (liquid ratio of 0.74:1, overdraft of £65 000), concluding with a justified recommendation.

Unit 2 甲部

Answer BOTH questions in this section.
2 題目 · 110
題目 1 · structured
55
Vanguard Logistics plc is a listed transport company. The following trial balance was extracted from the books on 31 December 2023:

Trial Balance as at 31 December 2023
- Revenue: Credit £1,500,000
- Purchases: Debit £980,000
- Inventory (1 January 2023): Debit £145,000
- Distribution costs: Debit £165,000
- Administrative expenses: Debit £240,000
- Land & Buildings (at cost): Debit £500,000
- Accumulated depreciation - Buildings (1 January 2023): Credit £60,000
- Delivery vehicles (at cost): Debit £180,000
- Accumulated depreciation - Delivery vehicles (1 January 2023): Credit £72,000
- Trade receivables: Debit £115,000
- Allowance for doubtful debts (1 January 2023): Credit £5,000
- Cash and cash equivalents: Debit £31,000
- Trade payables: Credit £93,000
- Ordinary shares (£0.50 nominal value): Credit £400,000
- Share premium: Credit £80,000
- Retained earnings (1 January 2023): Credit £112,000
- General reserve: Credit £50,000
- Interim dividend paid (1 July 2023): Debit £16,000

Additional information at 31 December 2023:
1. Physical inventory was valued at its cost of £160,000. However, this includes some damaged spare parts that had cost £12,000. These parts require repairs costing £3,000 to be completed, after which they can be sold for £10,000.
2. Land and Buildings cost includes land of £200,000. Land is not depreciated. Buildings are depreciated at 2% per annum on cost. Depreciation on buildings is to be charged to administrative expenses.
3. Delivery vehicles are depreciated at 20% per annum using the reducing balance method. Depreciation on delivery vehicles is to be charged to distribution costs.
4. Distribution costs include £8,000 paid in advance for vehicle insurance.
5. Administrative expenses accrued amount to £12,000.
6. A trade receivable owing £5,000 has been declared bankrupt and the debt is to be written off as irrecoverable. The allowance for doubtful debts is to be adjusted to 5% of the remaining trade receivables. Both adjustments are to be charged to administrative expenses.
7. Corporation tax for the year ended 31 December 2023 is estimated to be £18,000.
8. On 31 December 2023, the directors proposed a final ordinary dividend of £0.03 per share.
9. A transfer of £15,000 is to be made from retained earnings to the general reserve.

Required:
(a) Prepare the Statement of Profit or Loss and Other Comprehensive Income for Vanguard Logistics plc for the year ended 31 December 2023, complying with IAS 1. (24 marks)
(b) Prepare the Statement of Changes in Equity for the year ended 31 December 2023. (8 marks)
(c) Prepare the Statement of Financial Position as at 31 December 2023, complying with IAS 1. (11 marks)
(d) Evaluate the role and importance of an independent external auditor for the shareholders of Vanguard Logistics plc. (12 marks)
查看答案詳解

解題

Workings:
1. Closing Inventory (IAS 2):
Lower of cost and Net Realisable Value (NRV).
Damaged parts cost = £12,000. NRV = Selling price £10,000 - repair cost £3,000 = £7,000.
Since NRV (£7,000) is lower than cost (£12,000), the inventory must be written down by £5,000.
Adjusted closing inventory = £160,000 - £5,000 = £155,000.

2. Cost of Sales:
Opening Inventory (£145,000) + Purchases (£980,000) - Adjusted Closing Inventory (£155,000) = £970,000.

3. Depreciation:
- Buildings: Cost of Buildings = £500,000 - £200,000 (land) = £300,000. Annual depreciation = 2% * £300,000 = £6,000. (Charged to Admin expenses).
- Delivery vehicles: Carrying amount = Cost £180,000 - Accumulated Depreciation £72,000 = £108,000. Annual depreciation = 20% * £108,000 = £21,600. (Charged to Distribution costs).

4. Distribution Costs:
TB value £165,000 - Prepayment £8,000 + Depreciation of vehicles £21,600 = £178,600.

5. Administrative Expenses:
TB value £240,000 + Accrual £12,000 + Depreciation of buildings £6,000 + Irrecoverable debt write-off £5,000 + Increase in allowance for doubtful debts £500 = £263,500.
*Allowance calculation: Remaining trade receivables = £115,000 - £5,000 (written off) = £110,000. Required allowance = 5% * £110,000 = £5,500. Existing allowance = £5,000. Increase needed = £500.

6. Dividends:
Interim dividend of £16,000 paid is included in the SOCE. Under IAS 10, the proposed final dividend of £0.03 per share (800,000 shares * £0.03 = £24,000) is NOT recognized as a liability or deducted from equity in the current year. It is only disclosed in the notes.

7. Retained Earnings:
Opening £112,000 + Profit for the year £69,900 - Interim dividend paid £16,000 - Transfer to general reserve £15,000 = £150,900.

8. Statement of Financial Position details:
- Non-Current Assets:
Land & Buildings: Cost £500,000, Accumulated Depreciation (£60,000 + £6,000) = £66,000. NBV = £434,000.
Delivery vehicles: Cost £180,000, Accumulated Depreciation (£72,000 + £21,600) = £93,600. NBV = £86,400.
Total NCA = £520,400.
- Current Assets:
Inventory = £155,000.
Trade receivables = £110,000 - £5,500 (allowance) = £104,500.
Prepayments = £8,000.
Cash = £31,000.
Total Current Assets = £298,500.
Total Assets = £818,900.
- Equity:
Ordinary Share Capital = £400,000.
Share Premium = £80,000.
General Reserve = £50,000 + £15,000 = £65,000.
Retained Earnings = £150,900.
Total Equity = £695,900.
- Current Liabilities:
Trade payables = £93,000.
Accruals = £12,000.
Taxation = £18,000.
Total Current Liabilities = £123,000.
Total Equity and Liabilities = £695,900 + £123,000 = £818,900.

評分準則

(a) Statement of Profit or Loss and Other Comprehensive Income (24 marks):
- Revenue £1,500,000 (1 mark)
- Opening inventory £145,000 (1 mark)
- Purchases £980,000 (1 mark)
- Closing inventory adjustment and value £155,000 (3 marks: 1 for original, 1 for NRV adjustment, 1 for final correct valuation)
- Cost of sales £970,000 (1 mark OF)
- Gross Profit £530,000 (1 mark OF)
- Distribution costs £178,600 (4 marks: 1 for TB, 1 for prepay, 1 for vehicle depr, 1 for correct total)
- Administrative expenses £263,500 (6 marks: 1 for TB, 1 for accrual, 1 for building depr, 1 for bad debt, 1 for change in allowance, 1 for correct total)
- Operating Profit £87,900 (1 mark OF)
- Finance costs £0 (no mark, but must not be populated with incorrect costs)
- Taxation £18,000 (1 mark)
- Profit for the year £69,900 (1 mark OF)
- Headings, structure and IAS 1 conformity (3 marks)

(b) Statement of Changes in Equity (8 marks):
- Correct column structure (Share Capital, Share Premium, General Reserve, Retained Earnings, Total) (1 mark)
- Correct opening balances matching TB (1 mark)
- Profit for the year £69,900 entered correctly (1 mark OF)
- Dividend paid £16,000 correctly deducted (1 mark) and proposed final dividend correctly omitted (1 mark)
- Transfer to General Reserve (£15,000) properly recorded across columns (1 mark)
- Final column totals correct (2 marks OF)

(c) Statement of Financial Position (11 marks):
- Land & Buildings carrying value £434,000 (1 mark)
- Delivery vehicles carrying value £86,400 (1 mark)
- Current assets: Inventory £155,000 (1 mark OF)
- Trade receivables net of allowance (£104,500) (2 marks: 1 for receivables, 1 for net allowance)
- Prepayments (£8,000) and Cash (£31,000) (1 mark)
- Equity balances matching SOCE (2 marks)
- Current Liabilities: Trade payables £93,000, Accruals £12,000, Taxation £18,000 (2 marks)
- Balanced totals of £818,900 and overall layout (1 mark)

(d) Evaluation of independent external auditor (12 marks):
- Level 1 (1-3 marks): Identifies basic points. Mentions that the auditor checks accounts.
- Level 2 (4-6 marks): Explains basic role. Auditor ensures accounts show a 'true and fair view'. Identifies difference between directors (agents) and shareholders (principals).
- Level 3 (7-9 marks): Explains benefit of trust, reducing agency problem, detecting/deterring fraud, and helping secure bank lending. Discusses limitations (sampling, not 100% guarantee, cost, time lag).
- Level 4 (10-12 marks): Balanced evaluation and clear conclusion. Recognizes that plc shareholders cannot inspect accounts themselves. Auditor provides critical assurance, though not absolute. Synthesized conclusion on whether the cost/benefit favors independent audit.
題目 2 · Standard Costing, Variance Reconciliation and Pricing Evaluation
55
Oakwood Furniture Ltd manufactures a single premium product, 'The Executive' wooden desk. The company uses a standard costing system to manage its operations.

For the month of October, the budgeted production and sales were 2,000 desks. The standard cost card for one desk is as follows:

* **Direct Materials:** \(4\) metres of oak at \(\$15\) per metre = \(\$60\)
* **Direct Labour:** \(3\) hours at \(\$12\) per hour = \(\$36\)
* **Fixed Overhead:** Budgeted total fixed overheads of \(\$48,000\) are absorbed on a per-unit basis (based on the budgeted production of 2,000 units) = \(\$24\) per unit.
* **Standard Selling Price:** \(\$180\) per desk

During October, the actual production and sales achieved were 1,800 desks. The following actual results were recorded:

* **Revenue:** 1,800 desks sold at an average price of \(\$185\) per desk.
* **Direct Materials purchased and used:** 7,560 metres of oak costing a total of \(\$117,180\).
* **Direct Labour:** 5,220 hours worked at a total cost of \(\$65,250\).
* **Fixed Overheads:** Total actual fixed overheads incurred were \(\$46,500\).

**Required:**

**(a)** Calculate the following direct material and direct labour variances for October, clearly stating whether each variance is Favourable (F) or Adverse (A):
* (i) Direct Material Price Variance
* (ii) Direct Material Usage Variance
* (iii) Direct Labour Rate Variance
* (iv) Direct Labour Efficiency Variance **(12 marks)**

**(b)** Calculate the following fixed overhead and sales variances for October, clearly stating whether each variance is Favourable (F) or Adverse (A):
* (i) Fixed Overhead Expenditure Variance
* (ii) Fixed Overhead Volume Variance
* (iii) Sales Price Variance
* (iv) Sales Volume Profit Variance **(12 marks)**

**(c)** Prepare a statement reconciling the Budgeted Profit for October with the Actual Profit for October. **(15 marks)**

**(d)** Evaluate the production, pricing, and resource purchasing decisions of Oakwood Furniture Ltd during October, using your calculated variances and other relevant information. Provide recommendations for the business going forward. **(16 marks)**
查看答案詳解

解題

### **(a) Calculations of Material and Labour Variances**

**(i) Direct Material Price Variance:**
* \(\text{Standard Price (SP)} = \$15\text{ per metre}\)
* \(\text{Actual Price (AP)} = \frac{\$117,180}{7,560\text{ m}} = \$15.50\text{ per metre}\)
* \(\text{Actual Quantity (AQ)} = 7,560\text{ m}\)
* \(\text{Material Price Variance} = (SP - AP) \times AQ\)
* \(\text{Material Price Variance} = (\$15.00 - \$15.50) \times 7,560 = \$3,780 \text{ Adverse (A)}\)

**(ii) Direct Material Usage Variance:**
* \(\text{Standard Quantity (SQ) allowed for actual production} = 1,800\text{ units} \times 4\text{ m} = 7,200\text{ m}\)
* \(\text{Actual Quantity (AQ)} = 7,560\text{ m}\)
* \(\text{Standard Price (SP)} = \$15\text{ per metre}\)
* \(\text{Material Usage Variance} = (SQ - AQ) \times SP\)
* \(\text{Material Usage Variance} = (7,200 - 7,560) \times \$15 = 360 \times \$15 = \$5,400 \text{ Adverse (A)}\)

**(iii) Direct Labour Rate Variance:**
* \(\text{Standard Rate (SR)} = \$12\text{ per hour}\)
* \(\text{Actual Rate (AR)} = \frac{\$65,250}{5,220\text{ hours}} = \$12.50\text{ per hour}\)
* \(\text{Actual Hours (AH)} = 5,220\text{ hours}\)
* \(\text{Labour Rate Variance} = (SR - AR) \times AH\)
* \(\text{Labour Rate Variance} = (\$12.00 - \$12.50) \times 5,220 = \$2,610 \text{ Adverse (A)}\)

**(iv) Direct Labour Efficiency Variance:**
* \(\text{Standard Hours (SH) allowed for actual production} = 1,800\text{ units} \times 3\text{ hours} = 5,400\text{ hours}\)
* \(\text{Actual Hours (AH)} = 5,220\text{ hours}\)
* \(\text{Standard Rate (SR)} = \$12\text{ per hour}\)
* \(\text{Labour Efficiency Variance} = (SH - AH) \times SR\)
* \(\text{Labour Efficiency Variance} = (5,400 - 5,220) \times \$12 = 180 \times \$12 = \$2,160 \text{ Favourable (F)}\)

---

### **(b) Calculations of Fixed Overhead and Sales Variances**

**(i) Fixed Overhead Expenditure Variance:**
* \(\text{Budgeted Fixed Overhead} = \$48,000\)
* \(\text{Actual Fixed Overhead} = \$46,500\)
* \(\text{Expenditure Variance} = \text{Budgeted Fixed Overhead} - \text{Actual Fixed Overhead}\)
* \(\text{Expenditure Variance} = \$48,000 - \$46,500 = \$1,500 \text{ Favourable (F)}\)

**(ii) Fixed Overhead Volume Variance:**
* \(\text{Standard Fixed Overhead Rate per unit} = \$24\)
* \(\text{Volume Variance} = (\text{Actual Production} - \text{Budgeted Production}) \times \text{Standard Rate per unit}\)
* \(\text{Volume Variance} = (1,800 - 2,000) \times \$24 = 200 \times \$24 = \$4,800 \text{ Adverse (A)}\)

**(iii) Sales Price Variance:**
* \(\text{Standard Selling Price} = \$180\)
* \(\text{Actual Selling Price} = \$185\)
* \(\text{Actual Quantity Sold} = 1,800\text{ units}\)
* \(\text{Sales Price Variance} = (\text{Actual Price} - \text{Standard Price}) \times \text{Actual Quantity Sold}\)
* \(\text{Sales Price Variance} = (\$185 - \$180) \times 1,800 = \$9,000 \text{ Favourable (F)}\)

**(iv) Sales Volume Profit Variance:**
* \(\text{Standard Profit per unit} = \text{Standard Selling Price} - \text{Total Standard Cost}\)
* \(\text{Standard Profit per unit} = \$180 - (\$60 + \$36 + \$24) = \$180 - \$120 = \$60\)
* \(\text{Sales Volume Profit Variance} = (\text{Actual Quantity Sold} - \text{Budgeted Quantity Sold}) \times \text{Standard Profit per unit}\)
* \(\text{Sales Volume Profit Variance} = (1,800 - 2,000) \times \$60 = -200 \times \$60 = \$12,000 \text{ Adverse (A)}\)

---

### **(c) Statement Reconciling Budgeted Profit with Actual Profit**

| Item | \(\$\) | \(\$\) |
| :--- | :---: | :---: |
| **Budgeted Profit** \((2,000 \times \$60)\) | | **120,000** |
| Less: Sales Volume Profit Variance | | (12,000) (A) |
| **Standard Profit on Actual Sales** | | **108,000** |
| | | |
| **Cost Variances** | **Favourable ($)** | **Adverse ($)** |
| Sales Price Variance | 9,000 | - |
| Direct Material Price Variance | - | 3,780 |
| Direct Material Usage Variance | - | 5,400 |
| Direct Labour Rate Variance | - | 2,610 |
| Direct Labour Efficiency Variance | 2,160 | - |
| Fixed Overhead Expenditure Variance | 1,500 | - |
| Fixed Overhead Volume Variance | - | 4,800 |
| **Totals** | **12,660** | **16,590** |
| | | |
| **Net Variance Adjustment** | | (3,930) (A) |
| **Actual Profit** | | **104,070** |

*Verification of Actual Profit:*
* \(\text{Actual Revenue} = 1,800 \times \$185 = \$333,000\)
* \(\text{Actual Costs} = \$117,180 \text{ (Materials)} + \$65,250 \text{ (Labour)} + \$46,500 \text{ (Overheads)} = \$228,930\)
* \(\text{Actual Profit} = \$333,000 - \$228,930 = \$104,070\). (Reconciliation is verified and correct).

---

### **(d) Evaluation and Recommendations**

**Analysis of Variances and Operational Decisions:**

1. **Direct Materials:** The Direct Material Price Variance is adverse ($3,780), meaning the actual price paid ($15.50) exceeded the standard ($15.00). Simultaneously, the Material Usage Variance is highly adverse ($5,400). This suggests a critical operational issue: the procurement department may have purchased non-standard, higher-priced materials that turned out to be of lower quality, leading to excessive wood wastage and scrap. Alternatively, a general market rise in oak prices occurred while the company suffered from internal handling inefficiencies.
2. **Direct Labour:** The Direct Labour Rate Variance is adverse ($2,610), while the Direct Labour Efficiency Variance is favourable ($2,160). These variances are closely linked. The higher average wage rate ($12.50 vs standard $12.00) indicates that the company employed more skilled or experienced craftspeople during October. The trade-off was partially positive, as these skilled workers completed tasks quicker, using only 5,220 hours instead of the standard 5,400 hours allowed. However, the net effect of this labour decision is still negative ($2,610 A + $2,160 F = $450 A), showing that the wage increase was not fully offset by productivity gains.
3. **Sales Price and Volume:** The Sales Price Variance is favourable ($9,000) due to raising the selling price to $185. However, this price hike may have severely damaged demand, resulting in a highly adverse Sales Volume Profit Variance ($12,000). The overall revenue impact of the pricing decision was a net loss of $3,000 in potential contribution/profit. The business experienced elastic demand, where a \(2.8\%\) increase in price led to a \(10\%\) drop in sales volume.
4. **Fixed Overheads:** The fixed overhead expenditure variance is favourable ($1,500), showing successful cost-containment on overhead line items. However, the volume variance is adverse ($4,800) because the lower production volume led to under-absorption of the fixed costs across fewer units.

**Conclusion and Recommendations:**
* **Re-evaluate Pricing Strategy:** The price increase to $185 was counterproductive. The company should consider reverting to the $180 level or introducing targeted marketing to justify the premium price without losing high sales volumes.
* **Review Material Procurement:** Management must investigate why higher-cost materials yielded poorer efficiency (higher usage). They should secure contracts with reliable suppliers who provide high-quality wood at standard rates to eliminate both adverse price and usage trends.
* **Labour Resource Management:** Although hiring high-skilled labour improved efficiency, the net premium cost was adverse. Management should look into training existing staff to improve efficiency without incurring the higher wage rate or establish whether the quality of the final desks built by the skilled workers justified the premium through lower customer returns.

評分準則

### **Marking Scheme Breakdown**

**Part (a) [12 Marks total]**
* **(i) Direct Material Price Variance:**
* \(1\text{ Mark}\) for correct actual price calculation ($15.50) or formula setup.
* \(1\text{ Mark}\) for correct amount ($3,780).
* \(1\text{ Mark}\) for identifying it as Adverse (A).
* **(ii) Direct Material Usage Variance:**
* \(1\text{ Mark}\) for calculating standard quantity allowed (\(1,800 \times 4 = 7,200\text{ m}\)).
* \(1\text{ Mark}\) for correct amount ($5,400).
* \(1\text{ Mark}\) for identifying it as Adverse (A).
* **(iii) Direct Labour Rate Variance:**
* \(1\text{ Mark}\) for correct actual rate calculation ($12.50) or formula setup.
* \(1\text{ Mark}\) for correct amount ($2,610).
* \(1\text{ Mark}\) for identifying it as Adverse (A).
* **(iv) Direct Labour Efficiency Variance:**
* \(1\text{ Mark}\) for calculating standard hours allowed (\(1,800 \times 3 = 5,400\text{ hours}\)).
* \(1\text{ Mark}\) for correct amount ($2,160).
* \(1\text{ Mark}\) for identifying it as Favourable (F).

**Part (b) [12 Marks total]**
* **(i) Fixed Overhead Expenditure Variance:**
* \(2\text{ Marks}\) for correct calculation ($1,500) and \(1\text{ Mark}\) for identifying it as Favourable (F).
* **(ii) Fixed Overhead Volume Variance:**
* \(2\text{ Marks}\) for correct calculation ($4,800) and \(1\text{ Mark}\) for identifying it as Adverse (A).
* **(iii) Sales Price Variance:**
* \(2\text{ Marks}\) for correct calculation ($9,000) and \(1\text{ Mark}\) for identifying it as Favourable (F).
* **(iv) Sales Volume Profit Variance:**
* \(1\text{ Mark}\) for calculating standard profit per unit ($60).
* \(1\text{ Mark}\) for correct final variance ($12,000).
* \(1\text{ Mark}\) for identifying it as Adverse (A).

**Part (c) [15 Marks total]**
* \(1\text{ Mark}\) for correct starting Budgeted Profit ($120,000).
* \(2\text{ Marks}\) for correct position and adjustment of Sales Volume Profit Variance ($12,000 A) to arrive at Standard Profit on Actual Sales ($108,000).
* \(1\text{ Mark}\) for each of the remaining 7 variances correctly placed in the Favourable or Adverse columns (\(7 \times 1 = 7\text{ Marks}\)).
* \(1\text{ Mark}\) for correct subtotal of Favourable variances ($12,660).
* \(1\text{ Mark}\) for correct subtotal of Adverse variances ($16,590).
* \(2\text{ Marks}\) for calculating correct net variance adjustment ($3,930 Adverse).
* \(1\text{ Mark}\) for matching final Actual Profit ($104,070).

**Part (d) [16 Marks total]**
* **Level 1 (1–4 Marks):** Identifies individual variances with basic descriptions. Minimal explanation of variance relationships. Weak or generic recommendations.
* **Level 2 (5–8 Marks):** Good explanation of individual variances. Explains simple linkages (e.g., higher price reduced volume). Some basic financial terminology used.
* **Level 3 (9–12 Marks):** Detailed, multi-layered analysis of interdependent variances (e.g., linkages between Labour Rate and Efficiency, Material Price and Usage). Clear evaluation of the trade-offs. Recommendations are structured and business-relevant.
* **Level 4 (13–16 Marks):** Balanced, comprehensive evaluation. Demonstrates full strategic understanding of pricing elasticity, material quality trade-offs, and skill premiums. Clear synthesis of the net impacts. Professional, actionable recommendations with an overall strategic conclusion.

Unit 2 乙部

Answer any THREE questions from this section.
4 題目 · 120
題目 1 · 乙部
30
Vanguard PLC is a public limited company. On 1 January 2023, Vanguard PLC acquired the entire business of Delta Ltd, a private limited company.

The statement of financial position of Delta Ltd as at 31 December 2022 was as follows:

| | £ | £ |
| :--- | :--- | :--- |
| **Non-current assets** | | |
| Premises (carrying value) | | 220,000 |
| Plant & Machinery (carrying value) | | 75,000 |
| | | **295,000** |
| **Current assets** | | |
| Inventory | 43,000 | |
| Trade Receivables | 30,000 | |
| Cash and Bank | 12,500 | |
| | | **85,500** |
| **Total assets** | | **380,500** |
| | | |
| **Equity and Liabilities** | | |
| Ordinary Share Capital (£1 shares) | | 250,000 |
| Retained Earnings | | 104,500 |
| | | **354,500** |
| **Current liabilities** | | |
| Trade Payables | | 26,000 |
| **Total equity and liabilities** | | **380,500** |

**Terms of Acquisition:**
1. Vanguard PLC did not take over the existing cash and bank balance of Delta Ltd. (Delta Ltd used its own cash and bank balance to pay outstanding liquidation expenses of £4,500 before dissolving, with any remaining cash to be distributed to its shareholders).
2. All other assets and liabilities of Delta Ltd were acquired by Vanguard PLC at the following agreed values:
- Premises: £300,000
- Plant & Machinery: £60,000
- Inventory: £40,000
- Trade Receivables: £28,500
- Trade Payables: £26,000
3. The purchase consideration was agreed and settled as follows:
- A cash payment of £50,000.
- The issue of 200,000 ordinary shares of £1 each in Vanguard PLC, at an agreed market value of £1.50 per share.
- The issue of £100,000 of 8% Debentures at par.

**Required:**

(a)
(i) Calculate the total purchase consideration payable by Vanguard PLC. (4 marks)
(ii) Calculate the Goodwill arising on the acquisition of Delta Ltd. (6 marks)

(b) Prepare the journal entries in the books of Vanguard PLC to record:
(i) the acquisition of the assets and liabilities of Delta Ltd. (4 marks)
(ii) the settlement of the purchase consideration. (4 marks)
*Note: Journal narratives are required.*

(c) Prepare the Realisation Account in the ledger of Delta Ltd to close its assets and liabilities. (6 marks)

(d) Evaluate the decision of Vanguard PLC to settle part of the purchase consideration by issuing ordinary shares rather than paying entirely in cash. (6 marks)
查看答案詳解

解題

### (a) (i) Calculation of Total Purchase Consideration

- Cash payment: \(£50,000\)
- Issue of Ordinary Shares: \(200,000 \text{ shares} \times £1.50 = £300,000\)
- 8% Debentures: \(£100,000\)

**Total Purchase Consideration:**
\[£50,000 + £300,000 + £100,000 = £450,000\]

---

### (a) (ii) Calculation of Goodwill Arising

*Note: Vanguard PLC did not acquire Delta Ltd's cash and bank balance of £12,500.*

**Agreed Value of Assets Acquired:**
- Premises: \(£300,000\)
- Plant & Machinery: \(£60,000\)
- Inventory: \(£40,000\)
- Trade Receivables: \(£28,500\)
- **Total Assets Acquired:** \(£428,500\)

**Less: Agreed Value of Liabilities Acquired:**
- Trade Payables: \(£26,000\)

**Net Assets Acquired:**
\[£428,500 - £26,000 = £402,500\]

**Goodwill:**
\[\text{Goodwill} = \text{Purchase Consideration} - \text{Net Assets Acquired}\]
\[\text{Goodwill} = £450,000 - £402,500 = £47,500\]

---

### (b) Journal Entries in the Books of Vanguard PLC

**(i) To record the acquisition of assets, liabilities, and goodwill:**

| Date | Account Details | Debit (£) | Credit (£) |
| :--- | :--- | :--- | :--- |
| 1 Jan 2023 | Premises | 300,000 | |
| | Plant & Machinery | 60,000 | |
| | Inventory | 40,000 | |
| | Trade Receivables | 28,500 | |
| | Goodwill | 47,500 | |
| | Trade Payables | | 26,000 |
| | Liquidator of Delta Ltd | | 450,000 |
| | *Being the acquisition of the assets and liabilities of Delta Ltd at agreed values and the resulting goodwill recorded.* | | |

**(ii) To record the settlement of the purchase consideration:**

| Date | Account Details | Debit (£) | Credit (£) |
| :--- | :--- | :--- | :--- |
| 1 Jan 2023 | Liquidator of Delta Ltd | 450,000 | |
| | Cash and Bank | | 50,000 |
| | Share Capital (Ordinary Shares) | | 200,000 |
| | Share Premium | | 100,000 |
| | 8% Debentures | | 100,000 |
| | *Being the settlement of the purchase consideration payable to the liquidator of Delta Ltd via cash, ordinary shares issued at premium, and 8% debentures.* | | |

---

### (c) Realisation Account in the Books of Delta Ltd

| Debit | £ | Credit | £ |
| :--- | :--- | :--- | :--- |
| Premises (book value) | 220,000 | Trade Payables (book value) | 26,000 |
| Plant & Machinery (book value) | 75,000 | Vanguard PLC (Purchase Consideration) | 450,000 |
| Inventory (book value) | 43,000 | | |
| Trade Receivables (book value) | 30,000 | | |
| **Profit on Realisation** *(transferred to Shareholder Liquidation Account)* | **108,000** | | |
| | **476,000** | | **476,000** |

*Note on Cash & Bank:* Because Cash & Bank was not taken over, it was retained by Delta Ltd and is not transferred to the Realisation Account. Instead, it is used directly in the cash and liquidation accounts of Delta Ltd.

---

### (d) Evaluation of Settle Method (Shares vs. Cash)

**Arguments for issuing ordinary shares:**
- **Preservation of Liquidity:** By issuing shares worth \(£300,000\), Vanguard PLC conserves its liquid cash. If they had paid fully in cash, it would have resulted in a significant cash outflow of \(£350,000\) (instead of \(£50,000\)), which could damage working capital and restrict future organic investment opportunities.
- **Balance Sheet Strength:** Sponsoring the acquisition through equity (Share Capital and Premium) does not increase leverage or gearing ratios. This makes Vanguard PLC less risky to future lenders.
- **Alignment of Interest:** The former owners of Delta Ltd now become shareholders of Vanguard PLC, aligning their goals with Vanguard's long-term performance.

**Arguments against issuing ordinary shares (for paying cash):**
- **Dilution of Ownership and Control:** Existing shareholders will find their voting percentages diluted due to the creation and issuance of 200,000 new shares.
- **Dilution of Earnings Per Share (EPS):** Future profits of Vanguard PLC must now be distributed among more shares, which may lower EPS and frustrate existing shareholders.
- **Cost of Capital:** Dividends on ordinary shares are paid out of profits indefinitely, whereas cash has a one-off cost and debentures have a fixed, tax-deductible interest charge.

**Conclusion:**
On balance, Vanguard PLC’s decision to issue shares was a prudent choice. It limited cash outflow to a manageable \(£50,000\), preventing potential cash flow stress, while keeping gearing at a reasonable level by matching debt (debentures) with equity issues.

評分準則

### (a) (i) Total Purchase Consideration [Total: 4 Marks]
- Cash payment: \(£50,000\) **(1 mark)**
- Ordinary Shares: \(200,000 \times £1.50 = £300,000\) **(2 marks)**
- 8% Debentures: \(£100,000\) **(1 mark)**

### (a) (ii) Goodwill [Total: 6 Marks]
- Correct identification of assets acquired (excluding cash/bank): \(£300,000 + £60,000 + £40,000 + £28,500 = £428,500\) **(2 marks)**
- Correct identification of liabilities acquired: \(£26,000\) **(1 mark)**
- Calculation of Net Assets Acquired: \(£402,500\) **(1 mark)**
- Goodwill calculation: \(£450,000 - £402,500 = £47,500\) **(2 marks)**
*(Note: If cash/bank is incorrectly included, deduct 2 marks but apply OF (own figure) rule for subsequent calculations)*

### (b) Journal Entries [Total: 8 Marks]
**(i) Acquisition Journal [4 Marks]**
- Debits: Premises \(£300,000\), Plant \(£60,000\), Inventory \(£40,000\), Receivables \(£28,500\) **(1 mark for all four correct)**
- Debit: Goodwill \(£47,500\) **(1 mark)**
- Credits: Trade Payables \(£26,000\), Liquidator of Delta Ltd \(£450,000\) **(1 mark)**
- Narrative: Required to show context of acquisition **(1 mark)**

**(ii) Settlement Journal [4 Marks]**
- Debit: Liquidator of Delta Ltd \(£450,000\) **(1 mark)**
- Credits: Cash \(£50,000\), Share Capital \(£200,000\), Share Premium \(£100,000\), Debentures \(£100,000\) **(2 marks for all four correct, 1 mark for any two correct)**
- Narrative: Required to show context of settlement **(1 mark)**

### (c) Realisation Account [Total: 6 Marks]
- Debit side: Transfer of Premises (\(£220,000\)) and Plant & Machinery (\(£75,000\)) **(1 mark)**
- Debit side: Transfer of Inventory (\(£43,000\)) and Trade Receivables (\(£30,000\)) **(1 mark)**
- Credit side: Trade Payables (\(£26,000\)) **(1 mark)**
- Credit side: Vanguard PLC (\(£450,000\)) **(1 mark)**
- Profit on Realisation: \(£108,000\) correctly balanced and transferred **(2 marks)**
*(Note: Cash and bank of £12,500 should not be in the realisation account. If included on debit side, deduct 1 mark)*

### (d) Evaluation [Total: 6 Marks]
- **1-2 Marks (Level 1):** Basic, generic points made about shares versus cash. No specific reference to Vanguard PLC or numbers.
- **3-4 Marks (Level 2):** Clear points showing the advantages of issuing shares (e.g. saving \(£300,000\) cash) and disadvantages (e.g. dilution of ownership, EPS reduction), with some reference to the scenario.
- **5-6 Marks (Level 3):** Balanced and thorough discussion showing in-depth understanding of financial impact (liquidity vs control/EPS), concluding with a clear, well-reasoned recommendation.
題目 2 · multi-part
30
Zenith Manufacturing Ltd produces a single specialized product, the 'Alpha'. The business has provided the following budgeted and actual information for its first year of operations ending 31 December 2023:

• Selling price: £45 per unit
• Direct materials: £12 per unit
• Direct labor: £8 per unit
• Variable production overheads: £4 per unit
• Budgeted fixed production overheads: £120,000 per year
• Budgeted (normal) production capacity: 15,000 units per year
• Actual production: 16,000 units
• Actual sales: 14,000 units
• Opening inventory: Nil
• Variable selling expenses: £2 per unit sold
• Fixed selling and administration expenses: £35,000

Required:
(a) Prepare the Marginal Costing Income Statement for the year ended 31 December 2023. [8 marks]
(b) Calculate the fixed overhead absorption rate and prepare the Absorption Costing Income Statement for the year ended 31 December 2023, showing clearly the adjustment for over/under absorption of overheads. [10 marks]
(c) Reconcile the difference between the profit calculated under marginal costing and absorption costing, and explain why this difference arises. [6 marks]
(d) Evaluate the usefulness of marginal costing compared to absorption costing for the management of Zenith Manufacturing Ltd when making short-term pricing and production decisions. [6 marks]
查看答案詳解

解題

(a) Marginal Costing Income Statement for the year ended 31 December 2023:
• Sales (14,000 units × £45) = £630,000
• Less Variable Cost of Sales:
- Opening Inventory: £0
- Variable Production Cost (16,000 units × £24) = £384,000 (where Variable production cost per unit = £12 + £8 + £4 = £24)
- Less: Closing Inventory (2,000 units × £24) = (£48,000)
- Variable Cost of Goods Sold = £336,000
• Variable Selling Expenses (14,000 units × £2) = £28,000
• Total Variable Cost = £364,000
• Contribution = £630,000 - £364,000 = £266,000
• Less Fixed Costs:
- Fixed Production Overheads: £120,000
- Fixed Selling & Administration: £35,000
• Net Profit under Marginal Costing = £111,000

(b) Absorption Costing Income Statement for the year ended 31 December 2023:
• Fixed Overhead Absorption Rate (OAR) = £120,000 / 15,000 units = £8 per unit.
• Full Production Cost per unit = Variable Production Cost (£24) + Fixed OAR (£8) = £32 per unit.
• Over/Under Absorption Calculation:
- Actual Production: 16,000 units
- Fixed Overhead Absorbed (16,000 × £8) = £128,000
- Actual Fixed Production Overhead: £120,000
- Over-absorption = £8,000 (to be deducted from Cost of Sales)
• Income Statement:
- Sales (14,000 units × £45) = £630,000
- Less Cost of Sales:
* Opening Inventory: £0
* Cost of Production (16,000 units × £32) = £512,000
* Less Closing Inventory (2,000 units × £32) = (£64,000)
* Cost of Sales (unadjusted) = £448,000
* Less Over-absorption Adjustment = (£8,000)
* Adjusted Cost of Sales = £440,000
- Gross Profit = £190,000
- Less Non-production Expenses:
* Variable Selling Expenses: £28,000
* Fixed Selling & Administration: £35,000
- Net Profit under Absorption Costing = £127,000

(c) Reconciliation and Explanation:
• Reconciliation:
- Net Profit under Absorption Costing: £127,000
- Less: Fixed overhead in Closing Inventory (2,000 units × £8): (£16,000)
- Net Profit under Marginal Costing: £111,000
• Explanation: The difference of £16,000 arises due to the difference in inventory valuation. Marginal costing values inventory using only variable production costs (£24 per unit), whereas absorption costing values inventory using full production costs (£32 per unit), which includes the fixed overhead absorption rate of £8 per unit. Because actual production (16,000 units) exceeded sales (14,000 units), closing inventory increased by 2,000 units. Consequently, £16,000 (2,000 units × £8) of fixed production overheads is deferred in closing inventory as a current asset under absorption costing, rather than being expensed in the current period as is done under marginal costing.

(d) Evaluation of Marginal vs Absorption Costing:
• Arguments for Marginal Costing: It is highly effective for short-term decisions because it isolates variable costs to calculate contribution. Since fixed costs do not change in the short term, this helps managers make key decisions such as setting minimum prices for special orders or determining product mix. Profit is also unaffected by changes in inventory levels, preventing managers from artificially boosting profits by producing more inventory.
• Arguments for Absorption Costing: It ensures that all manufacturing costs are factored into pricing, preventing long-term underpricing. Furthermore, it complies with international accounting standards (IAS 2) for external financial reporting.
• Conclusion: For short-term management decisions, Zenith should prioritize marginal costing because of its clear focus on contribution and incremental costs. However, managers must still review absorption costs to ensure long-run cost coverage and satisfy regulatory compliance.

評分準則

(a) Marginal Costing Income Statement (8 marks):
• Sales calculation (£630,000) (1 Mark)
• Opening inventory (£0) and Variable Production cost (£384,000) (1 Mark)
• Correct valuation and deduction of Closing Inventory (£48,000) (1 Mark)
• Variable selling expenses (£28,000) (1 Mark)
• Correct Contribution calculation (£266,000) (1 Mark)
• Fixed Production overheads (£120,000) (1 Mark)
• Fixed Selling and Admin overheads (£35,000) (1 Mark)
• Net Profit calculation (£111,000) (1 Mark)

(b) Absorption Costing Income Statement (10 marks):
• Calculation of OAR (£8 per unit) (1 Mark)
• Sales calculation (£630,000) (1 Mark)
• Production Cost calculation (£512,000) (1 Mark)
• Closing Inventory calculation (£64,000) (1 Mark)
• Over-absorption identification (£8,000 over-absorbed) (2 Marks, 1 for calculation, 1 for stating over-absorbed)
• Adjustment of over-absorption in Cost of Sales (1 Mark)
• Gross Profit calculation (£190,000) (1 Mark)
• Non-production expenses (Variable selling £28,000 and Fixed Admin £35,000) (1 Mark)
• Net Profit calculation (£127,000) (1 Mark)

(c) Reconciliation and Explanation (6 marks):
• Correct reconciliation showing difference of £16,000 (2 Marks)
• Explanation that absorption costing includes fixed overheads in inventory while marginal costing treats them as period costs (2 Marks)
• Explanation that production > sales leads to a portion of fixed overheads being deferred in closing inventory, increasing absorption profit (2 Marks)

(d) Evaluation (6 marks):
• 1-2 marks: Basic points identifying characteristics of marginal or absorption costing.
• 3-4 marks: Detailed comparison showing how marginal costing assists short-term decisions (e.g., contribution, special pricing) and why absorption costing is needed (e.g., long-term cost recovery, IAS 2 compliance).
• 5-6 marks: Balanced evaluation concluding with a clear recommendation on why internal management should use marginal costing while recognizing the necessity of absorption costing for external reporting.
題目 3 · 乙部
30
The directors of Vanguard Retail Limited have provided the following extracts from the company's financial statements for the years ended 31 December 2022 and 31 December 2023.

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

| | 2022 (£) | 2023 (£) |
| :--- | :---: | :---: |
| **Non-current assets** | | |
| Property, plant and equipment (carrying value) | 410,000 | 495,000 |
| **Current assets** | | |
| Inventory | 85,000 | 112,000 |
| Trade receivables | 64,000 | 53,000 |
| Bank | 18,000 | 2,000 |
| **Current liabilities** | | |
| Trade payables | 55,000 | 61,000 |
| Accrued interest | 3,000 | 1,500 |
| Taxation | 12,000 | 16,000 |
| **Non-current liabilities** | | |
| 8% Bank Loan | 100,000 | 70,000 |
| **Equity** | | |
| Ordinary Shares (£1 each) | 300,000 | 380,000 |
| Share Premium | 40,000 | 60,000 |
| Retained earnings | 67,000 | 73,500 |

**Additional Information:**
1. Profit for the year ended 31 December 2023 (after tax and interest) was £29,500.
2. Interest expense for the year was £7,000. Income tax expense for the year was £18,000.
3. During the year, depreciation charged on property, plant and equipment was £45,000.
4. An item of plant with a carrying value of £18,000 was sold during the year for £14,000 cash.
5. Ordinary shares were issued during the year at a premium.

**Required:**

(a) Prepare the Statement of Cash Flows for Vanguard Retail Limited for the year ended 31 December 2023, in accordance with IAS 7 (*Statement of Cash Flows*), using the indirect method. *(18 marks)*

(b) Calculate the following ratios for **both** 2022 and 2023 (to two decimal places):
(i) Current ratio
(ii) Liquid (acid test) ratio *(4 marks)*

(c) Evaluate the financial position of Vanguard Retail Limited with reference to its liquidity, cash flow generation, and financing decisions during the year ended 31 December 2023. *(8 marks)*
查看答案詳解

解題

**Part (a): Statement of Cash Flows for Vanguard Retail Limited for the year ended 31 December 2023**

| Cash Flow Statement Component | Workings | Amount (£) | Amount (£) |
| :--- | :--- | :---: | :---: |
| **Cash flows from operating activities** | | | |
| Profit before interest and tax (Operating Profit) | \( £29,500 + £7,000 + £18,000 \) | 54,500 | |
| *Adjustments for non-cash/non-operating items:* | | | |
| Depreciation | Given | 45,000 | |
| Loss on sale of plant | \( £18,000 - £14,000 \) | 4,000 | |
| **Operating profit before working capital changes** | | **103,500** | |
| Increase in inventory | \( £112,000 - £85,000 \) | (27,000) | |
| Decrease in trade receivables | \( £53,000 - £64,000 \) | 11,000 | |
| Increase in trade payables | \( £61,000 - £55,000 \) | 6,000 | |
| **Cash generated from operations** | | **93,500** | |
| Interest paid | \( £3,000 \text{ (b/f)} + £7,000 - £1,500 \text{ (c/f)} \) | (8,500) | |
| Tax paid | \( £12,000 \text{ (b/f)} + £18,000 - £16,000 \text{ (c/f)} \) | (14,000) | |
| **Net cash from operating activities** | | | **71,000** |
| | | | |
| **Cash flows from investing activities** | | | |
| Purchase of property, plant & equipment | \( £495,000 \text{ (c/f)} + £45,000 \text{ (depr)} + £18,000 \text{ (disp)} - £410,000 \text{ (b/f)} \) | (148,000) | |
| Proceeds from sale of plant | Given | 14,000 | |
| **Net cash used in investing activities** | | | **(134,000)** |
| | | | |
| **Cash flows from financing activities** | | | |
| Proceeds from issue of ordinary shares | \( (£380,000 - £300,000) + (£60,000 - £40,000) \) | 100,000 | |
| Repayment of bank loan | \( £100,000 - £70,000 \) | (30,000) | |
| Dividends paid | \( £67,000 \text{ (RE b/f)} + £29,500 \text{ (Profit)} - £73,500 \text{ (RE c/f)} \) | (23,000) | |
| **Net cash from financing activities** | | | **47,000** |
| | | | |
| **Net decrease in cash and cash equivalents** | | | **(16,000)** |
| Cash and cash equivalents at 1 Jan 2023 | | | 18,000 |
| **Cash and cash equivalents at 31 Dec 2023** | | | **2,000** |

---

**Part (b): Ratio Calculations**

**(i) Current ratio:**
* **2022:** \( \frac{£85,000 + £64,000 + £18,000}{£55,000 + £3,000 + £12,000} = \frac{£167,000}{£70,000} = 2.39:1 \)
* **2023:** \( \frac{£112,000 + £53,000 + £2,000}{£61,000 + £1,500 + £16,000} = \frac{£167,000}{£78,500} = 2.13:1 \)

**(ii) Liquid (acid test) ratio:**
* **2022:** \( \frac{£64,000 + £18,000}{£70,000} = \frac{£82,000}{£70,000} = 1.17:1 \)
* **2023:** \( \frac{£53,000 + £2,000}{£78,500} = \frac{£55,000}{£78,500} = 0.70:1 \)

---

**Part (c): Evaluation**
* **Liquidity position:** The company's liquidity position has worsened significantly during the year. The cash at bank fell by £16,000, leaving a buffer of only £2,000.
* The liquid (acid test) ratio dropped from a healthy 1.17:1 in 2022 to an alarming 0.70:1 in 2023, which is below the recommended standard benchmark of 1:1. This is largely because a higher proportion of current assets is now tied up in inventory (which increased by £27,000), rather than in liquid forms. Trade receivables have decreased, which helped cash inflow but points to potential lower credit sales or better collection.
* **Cash flow generation:** Operating activities are highly positive and strong, generating £71,000 in net cash. This indicates that the core retail business is highly viable and cash-generative.
* **Financing and investing choices:** The depletion of cash was caused by heavy capital expenditure (investing activities used a net £134,000, mainly for purchasing property, plant, and equipment of £148,000). To fund this, the company issued shares (raising £100,000) and used its operating cash. Additionally, the company repaid £30,000 of its bank loan and paid out dividends of £23,000.
* **Conclusion:** While the large capital investment indicates growth and expansion, undertaking a loan repayment of £30,000 and paying £23,000 dividends simultaneously has overstretched cash reserves. Management needs to immediately address inventory levels to unlock cash and consider holding back on dividends or major asset purchases in the short term.

評分準則

**Part (a) Marking Scheme: [Total: 18 marks]**
* Operating Profit before tax & interest: £54,500 **(1 mark)**
* Adjustment for Depreciation: £45,000 **(1 mark)**
* Adjustment for Loss on Sale of Plant: £4,000 **(1 mark)**
* Increase in Inventory: (£27,000) **(1 mark)**
* Decrease in Trade Receivables: £11,000 **(1 mark)**
* Increase in Trade Payables: £6,000 **(1 mark)**
* Interest Paid calculation and value: (£8,500) **(2 marks)** (1 mark for working showing b/f + expense - c/f, 1 mark for value)
* Tax Paid calculation and value: (£14,000) **(2 marks)** (1 mark for working showing b/f + expense - c/f, 1 mark for value)
* Proceeds from sale of plant: £14,000 **(1 mark)**
* Purchase of PPE calculation and value: (£148,000) **(2 marks)** (1 mark for working, 1 mark for value)
* Proceeds from issue of ordinary shares: £100,000 **(2 marks)** (1 mark for ordinary share change, 1 mark for share premium change)
* Repayment of bank loan: (£30,000) **(1 mark)**
* Dividends paid calculation and value: (£23,000) **(1 mark)**
* Reconciliation to cash balances: -£16,000 net decrease, £18,000 opening, £2,000 closing **(1 mark)**

*Note: Accept positive/negative representations if consistent with IAS 7 format.*

**Part (b) Marking Scheme: [Total: 4 marks]**
* Current ratio 2022: 2.39:1 **(1 mark)**
* Current ratio 2023: 2.13:1 **(1 mark)**
* Liquid ratio 2022: 1.17:1 **(1 mark)**
* Liquid ratio 2023: 0.70:1 **(1 mark)**

*Note: Own figure (OF) rule applies if correct formula used with wrong numbers from part (a).*

**Part (c) Marking Scheme: [Total: 8 marks]**
* **Level 1 (1-2 marks):** Identifies basic points such as cash has fallen, ratios have decreased. Limited depth.
* **Level 2 (3-5 marks):** Explains that cash is tied up in inventory and details the major cash inflows/outflows (e.g., share issue vs. PPE purchases). Uses ratio numbers from (b) to back up analysis.
* **Level 3 (6-8 marks):** Evaluates the situation holistically. Notes the strength of operating cash flow but criticizes the decision to pay off a loan and pay dividends while undergoing heavy capital expenditure. Offers clear recommendations (e.g., inventory management).
題目 4 · essay
30
Kestral PLC is considering an investment in a new high-tech manufacturing line, Project Alpha. The details of the project and the company's capital structure are given below.

Capital Structure:Source of CapitalMarket Value (£)Cost of Capital (%)Ordinary Shares1,500,00012%Long-term Bank Loan1,000,0007%
Project Alpha Details:
  • Initial cost of machinery: £800,000. Estimated scrap value at the end of Year 4 is £80,000.
  • Working capital: £50,000 required immediately (at Year 0), which will be fully recovered at the end of Year 4.
  • Production and sales volumes: Year 1: 50,000 units; Year 2: 70,000 units; Year 3: 80,000 units; Year 4: 40,000 units.
  • Selling price: £12 per unit.
  • Variable cost: £6 per unit.
  • Annual fixed costs (excluding depreciation): £90,000.
  • Discount factors at 10%: Year 1 = 0.909; Year 2 = 0.826; Year 3 = 0.751; Year 4 = 0.683.
Required:
(a) Calculate the Weighted Average Cost of Capital (WACC) for Kestral PLC to be used as the discount rate for Project Alpha. (4 marks)
(b) Calculate the annual net cash flows for Project Alpha for Year 0 to Year 4. (8 marks)
(c) Calculate the Net Present Value (NPV) of Project Alpha. (8 marks)
(d) Calculate the Payback Period of Project Alpha in years and months. (4 marks)
(e) Evaluate whether Kestral PLC should proceed with Project Alpha, considering both financial and non-financial factors. (6 marks)
查看答案詳解

解題

Part (a): Calculation of WACC
Total market value of capital structure = £1,500,000 + £1,000,000 = £2,500,000.
Weight of Equity = \( \frac{1,500,000}{2,500,000} = 60\% \)
Weight of Debt = \( \frac{1,000,000}{2,500,000} = 40\% \)
\( \text{WACC} = (0.60 \times 12\%) + (0.40 \times 7\%) = 7.2\% + 2.8\% = 10\% \).

Part (b): Annual Net Cash Flows
Year 0: Initial machinery cost + Working capital = \( -£800,000 - £50,000 = -£850,000 \).
Year 1: \( (50,000 \text{ units} \times (£12 - £6)) - £90,000 = £300,000 - £90,000 = £210,000 \).
Year 2: \( (70,000 \text{ units} \times (£12 - £6)) - £90,000 = £420,000 - £90,000 = £330,000 \).
Year 3: \( (80,000 \text{ units} \times (£12 - £6)) - £90,000 = £480,000 - £90,000 = £390,000 \).
Year 4: \( (40,000 \text{ units} \times (£12 - £6)) - £90,000 + £80,000 \text{ (scrap)} + £50,000 \text{ (working capital recovery)} = £240,000 - £90,000 + £80,000 + £50,000 = £280,000 \).

Part (c): Net Present Value (NPV)YearNet Cash Flow (£)Discount Factor (10%)Present Value (£)0(850,000)1.000(850,000)1210,0000.909190,8902330,0000.826272,5803390,0000.751292,8904280,0000.683191,240NPV+97,600
Part (d): Payback Period
Year 0 Cumulative: £(850,000)
Year 1 Cumulative: £(640,000) (recovers £210,000)
Year 2 Cumulative: £(310,000) (recovers £330,000)
Remaining to recover in Year 3 = £310,000.
Year 3 cash flow = £390,000.
Fraction of Year 3 = \( \frac{310,000}{390,000} = 0.795 \text{ years} \).
In months = \( 0.795 \times 12 = 9.54 \text{ months} \).
Payback Period = 2 years and 9.5 months (accept 9.5 or 10 months if rounded).

Part (e): Evaluation
Financial Analysis: Project Alpha is financially viable because it has a positive NPV of +£97,600, which indicates that it exceeds the company's cost of capital (10%) and will enhance shareholder wealth. Additionally, the payback period of 2 years and 9.5 months is well within the 4-year project life, indicating quick liquidity recovery.
Non-financial/Risk Analysis: However, these calculations depend heavily on forecasts. The demand profile shows a drop in Year 4, suggesting a short product life cycle. The recovery of scrap value (£80,000) and working capital (£50,000) in Year 4 makes up a substantial portion of the cash inflows, which is a risk if scrap markets fluctuate. Overall, the project should be accepted, but with sensitivity checks on demand fluctuations.

評分準則

(a) WACC Calculation (4 Marks)
• Weight of capital calculation (1 mark)
• Formula or setup of WACC (1 mark)
• Cost of equity weight application: 7.2% (1 mark)
• Cost of debt weight application: 2.8% and final WACC of 10% (1 mark)

(b) Net Cash Flows (8 Marks)
• Year 0: £(850,000) (2 marks, 1 for machinery, 1 for working capital outlay)
• Year 1: £210,000 (1 mark)
• Year 2: £330,000 (1 mark)
• Year 3: £390,000 (1 mark)
• Year 4: £280,000 (3 marks, 1 for operational cash flow, 1 for scrap value, 1 for working capital recovery)

(c) Net Present Value (8 Marks)
• Application of discount factors to Year 1-4 cash flows (4 marks - 1 mark for each year's accurate PV)
• Total Present Value of inflows: £947,600 (2 marks)
• Final NPV calculation: +£97,600 (2 marks, with 1 mark for correct deduction of Year 0 outlay)

(d) Payback Period (4 Marks)
• Calculation of cumulative cash flows (2 marks)
• Calculation of remaining fraction of Year 3 (1 mark)
• Expressing answer clearly as 2 years and 9.5 months (or 2.79 years) (1 mark)

(e) Evaluation (6 Marks)
• 2 marks: Strong knowledge and understanding of NPV and payback principles.
• 2 marks: Analytical points demonstrating awareness of risks, forecasts, and capital constraints.
• 2 marks: A balanced final conclusion and recommendation backed by the financial results.

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