2025 Cambridge IAL Accounting (9706) 模擬試題連答案詳解

The calculation of retained earnings on 31 December 2023 is as follows: Opening Retained Earnings: $120 000. Add: Profit for the year: + $85 000. Less: Final dividend paid: - $10 000. Less: Transfer to general reserve: - $15 000. Less: Funding needed for bonus issue (Total bonus issue of $10 000 minus Share Premium used of $7 000): - $3 000. Closing Retained Earnings = $120 000 + $85 000 - $10 000 - $15 000 - $3 000 = $169 000.

1 mark for the correct option A. Method: $120 000 (opening) + $85 000 (profit) - $10 000 (dividend) - $15 000 (reserve transfer) - $3 000 (retained earnings portion of bonus issue) = $169 000.

Total fund balance before year-end transfer = Opening balance + New receipts = $24 000 + $8 000 = $32 000. Transfer to income and expenditure account (10% of the year-end balance) = 10% of $32 000 = $3 200. Closing balance of life membership fund = Total balance before transfer - Transfer amount = $32 000 - $3 200 = $28 800.

1 mark for the correct option A. Method: Total fund of $32 000 x 10% = $3 200 transfer; remaining balance = $28 800.

1. Average Investment = (Initial Outlay + Residual Value) / 2 = ($100 000 + $20 000) / 2 = $60 000. 2. Total Depreciation = Initial Outlay - Residual Value = $100 000 - $20 000 = $80 000. 3. Total Accounting Profit = Total Cash Inflows - Total Depreciation = $130 000 - $80 000 = $50 000. 4. Average Annual Profit = Total Profit / Useful Life = $50 000 / 4 years = $12 500. 5. Accounting Rate of Return (ARR) = (Average Annual Profit / Average Investment) x 100 = ($12 500 / $60 000) x 100 = 20.83%.

1 mark for the correct option A. Method: Average profit of $12 500 divided by average investment of $60 000.

1. Calculate required good production: Good units needed = Sales + Closing inventory - Opening inventory = 17 200 + 2 300 - 1 500 = 18 000 units. 2. Account for defects: Since 10% of units started are defective, the good units represent 90% (100% - 10%) of the total production started. Total units put into production = 18 000 / 0.90 = 20 000 units.

1 mark for the correct option C. Method: 18 000 good units required / 0.90 = 20 000 units started.

1. Calculate Predetermined Overhead Absorption Rate (OAR) = Budgeted overheads / Budgeted labor hours = $160 000 / 40 000 = $4 per direct labor hour. 2. Calculate overhead absorbed = Actual direct labor hours worked x OAR = 37 000 hours x $4 = $148 000. 3. Compare with actual overheads: Overheads absorbed ($148 000) - Actual overheads incurred ($154 000) = $6 000 under-absorbed.

1 mark for the correct option A. Method: Actual absorbed ($148 000) is less than actual incurred ($154 000), resulting in $6 000 under-absorption.

Let's assume initial Current Assets (CA) = $15 000 and Current Liabilities (CL) = $10 000 (Current Ratio = 1.5 : 1). The quick ratio of 0.8 : 1 implies Quick Assets (QA) = $8 000. After purchasing inventory of $5 000 on credit: 1) CA increases to $20 000 (inventory increase) and CL increases to $15 000 (trade payables increase). New Current Ratio = 20 000 / 15 000 = 1.33 : 1 (Decreased). 2) QA remains unchanged at $8 000 (inventory is excluded) and CL increases to $15 000. New Quick Ratio = 8 000 / 15 000 = 0.53 : 1 (Decreased). Therefore, both ratios decrease.

1 mark for the correct option A. Method: Applying mathematical values to analyze the effect showing both ratios decrease.

1. Write off irrecoverable debt: Expense in Income Statement = $2 000. 2. Calculate remaining trade receivables = $70 000 - $2 000 = $68 000. 3. Calculate new required provision = 5% of $68 000 = $3 400. 4. Compare with opening provision: New provision ($3 400) - Opening provision ($3 200) = Increase in provision of $200 (Expense in Income Statement). 5. Total expense reducing profit = Irrecoverable debt ($2 000) + Increase in provision ($200) = $2 200. Thus, profit decreases by $2 200.

1 mark for the correct option A. Method: Bad debt written off ($2 000) + increase in provision ($200) = total decrease in profit of $2 200.

1. Capital Employed is defined as Equity + Non-Current Liabilities. 2. Before the new issue: Capital Employed = $400 000 (ordinary shares) + $100 000 (retained earnings) + $100 000 (debentures) = $600 000. ROCE = (Operating Profit / Capital Employed) x 100 = ($120 000 / $600 000) x 100 = 20.00%. 3. After the new issue: Capital Employed increases by $50 000 to $650 000. Operating Profit remains $120 000. ROCE = ($120 000 / $650 000) x 100 = 18.46%.

1 mark for the correct option A. Method: ROCE before = $120k / $600k = 20.00%; ROCE after = $120k / $650k = 18.46%.

To find the transfer to the Capital Redemption Reserve (CRR), we apply the rule: \( \text{Transfer to CRR} = \text{Nominal value of shares redeemed} - \text{Nominal value of fresh issue of shares} \).
1. Nominal value of preference shares redeemed = \( 120,000 \times \$1.00 = \$120,000 \).
2. Nominal value of fresh ordinary shares issued = \( 40,000 \times \$1.00 = \$40,000 \) (the share premium of $0.30 per share is excluded from this calculation).
3. Minimum transfer to CRR = \( \$120,000 - \$40,000 = \$80,000 \). Note that the redemption premium is written off against the company's reserves and does not affect the CRR transfer calculation.

1 mark for the correct option B. Award 0 marks for any other option.

To correct the cost of sales:
1. Draft cost of sales = $185,000.
2. Goods taken for personal use (drawings of inventory) reduce purchases, thereby reducing cost of sales: \( -\$3,600 \).
3. The sale-or-return goods must be excluded from sales (revenue decreases by $5,000) and their cost must be added back to closing inventory.
Cost of these goods = \( \$5,000 / 1.25 = \$4,000 \).
Since closing inventory increases by $4,000, cost of sales decreases by \( \$4,000 \).
Adjusted Cost of Sales = \( \$185,000 - \$3,600 - \$4,000 = \$177,400 \).

1 mark for the correct option A. Award 0 marks for any other option.

Calculate the Overhead Absorption Rate (OAR) for each department:
1. Machining OAR = \( \$180,000 / 15,000 \text{ hours} = \$12 \text{ per machine hour} \).
- Absorbed overheads = \( 16,500 \text{ actual hours} \times \$12 = \$198,000 \).
- Actual overheads = \( \$195,000 \).
- Machining overheads over-absorbed = \( \$198,000 - \$195,000 = \$3,000 \).
2. Assembly OAR = \( \$120,000 / 20,000 \text{ hours} = \$6 \text{ per labor hour} \).
- Absorbed overheads = \( 19,000 \text{ actual hours} \times \$6 = \$114,000 \).
- Actual overheads = \( \$112,000 \).
- Assembly overheads over-absorbed = \( \$114,000 - \$112,000 = \$2,000 \).
3. Total over-absorption = \( \$3,000 + \$2,000 = \$5,000 \text{ over-absorbed} \).

1 mark for the correct option B. Award 0 marks for any other option.

Prepare a Subscriptions Account:
- Debit side: Balance b/f (Arrears) \( \$2,400 \) + Income & Expenditure (Balancing figure) + Balance c/f (Advance) \( \$1,600 \) = \( \$4,000 + X \).
- Credit side: Balance b/f (Advance) \( \$1,200 \) + Bank (Receipts) \( \$36,400 \) + Irrecoverable written off \( \$400 \) + Balance c/f (Arrears) \( \$3,100 \) = \( \$41,100 \).
- Equating both sides: \( \$4,000 + X = \$41,100 \implies X = \$37,100 \).

1 mark for the correct option C. Award 0 marks for any other option.

1. Total Cash Inflows = \( \$60,000 + \$70,000 + \$65,000 + \$45,000 = \$240,000 \).
2. Total Depreciation = \( \text{Cost} - \text{Residual Value} = \$180,000 - \$20,000 = \$160,000 \).
3. Total Profit = \( \$240,000 - \$160,000 = \$80,000 \).
4. Average Annual Profit = \( \$80,000 / 4 \text{ years} = \$20,000 \).
5. Average Investment = \( (\text{Cost} + \text{Residual Value}) / 2 = (\$180,000 + \$20,000) / 2 = \$100,000 \).
6. ARR = \( (\$20,000 / \$100,000) \times 100\% = 20\% \).

1 mark for the correct option B. Award 0 marks for any other option.

1. Determine production for October and November:
- October Closing FG = \( 20\% \times 10,000 \text{ (November sales)} = 2,000 \text{ units} \).
- October Opening FG = \( 20\% \times 8,000 \text{ (October sales)} = 1,600 \text{ units} \).
- October Production = \( 8,000 + 2,000 - 1,600 = 8,400 \text{ units} \).
- November Closing FG = \( 20\% \times 9,000 \text{ (December sales)} = 1,800 \text{ units} \).
- November Opening FG = \( 2,000 \text{ units} \).
- November Production = \( 10,000 + 1,800 - 2,000 = 9,800 \text{ units} \).
2. Determine Raw Material X requirements:
- October production requirement = \( 8,400 \times 3 \text{ kg} = 25,200 \text{ kg} \).
- November production requirement = \( 9,800 \times 3 \text{ kg} = 29,400 \text{ kg} \).
3. Determine Raw Material X purchases for October:
- October Closing RM = \( 10\% \times 29,400 \text{ kg} = 2,940 \text{ kg} \).
- October Opening RM = \( 10\% \times 25,200 \text{ kg} = 2,520 \text{ kg} \).
- October Purchases = \( 25,200 + 2,940 - 2,520 = 25,620 \text{ kg} \).

1 mark for the correct option C. Award 0 marks for any other option.

Let initial Current Assets (CA) = $21,000, and Current Liabilities (CL) = $10,000 (Current Ratio = 2.1 : 1).
Let initial Liquid Assets (LA) = $8,000 (Liquid Ratio = 0.8 : 1), meaning inventory is $13,000.
Suppose $5,000 of inventory is purchased on credit:
- New CA = \( \$21,000 + \$5,000 = \$26,000 \).
- New CL = \( \$10,000 + \$5,000 = \$15,000 \).
- New Current Ratio = \( \$26,000 / \$15,000 = 1.73 : 1 \) (Decreased).
- New LA = $8,000 (unchanged, as inventory is excluded).
- New Liquid Ratio = \( \$8,000 / \$15,000 = 0.53 : 1 \) (Decreased).
Therefore, both ratios will decrease.

1 mark for the correct option B. Award 0 marks for any other option.

1. Z brings in $40,000 cash, so Z's capital is initially credited with $40,000.
2. Goodwill of $50,000 is raised in the old profit-sharing ratio (3:2):
- X's capital increases by: \( 3/5 \times \$50,000 = \$30,000 \).
- Y's capital increases by: \( 2/5 \times \$50,000 = \$20,000 \).
3. Goodwill of $50,000 is written off in the new profit-sharing ratio. The new ratio is:
- Z's share = 1/5 (or 5/25).
- X's share = \( 4/5 \times 3/5 = 12/25 \).
- Y's share = \( 4/5 \times 2/5 = 8/25 \).
Write-off distribution:
- X: \( 12/25 \times \$50,000 = \$24,000 \) (debit).
- Y: \( 8/25 \times \$50,000 = \$16,000 \) (debit).
- Z: \( 5/25 \times \$50,000 = \$10,000 \) (debit).
4. Final balances:
- X: \( \$80,000 + \$30,000 - \$24,000 = \$86,000 \).
- Y: \( \$50,000 + \$20,000 - \$16,000 = \$54,000 \).
- Z: \( \$40,000 - \$10,000 = \$30,000 \).

1 mark for the correct option B. Award 0 marks for any other option.

To redeem the preference shares without issuing new shares, the nominal value of the redeemed shares ($100,000) must be transferred from Retained Earnings to the Capital Redemption Reserve (CRR).
Additionally, since the preference shares were originally issued at par, the premium on redemption (10% of $100,000 = $10,000) must be written off against Retained Earnings.
Total reduction in Retained Earnings = $100,000 (for CRR) + $10,000 (premium) = $110,000.
New Retained Earnings balance = $150,000 - $110,000 = $40,000.

1 mark for the correct option A. Reject B, C, D.

1. For the year ended 31 December 2021:
- Opening balance: $12,000
- Add: Receipts from 6 new members (6 * $1,000): $6,000
- Fund balance before transfer: $12,000 + $6,000 = $18,000
- Transfer to Income and Expenditure Account (10%): 10% * $18,000 = $1,800
- Closing balance on 31 December 2021: $18,000 - $1,800 = $16,200

2. For the year ended 31 December 2022:
- Opening balance: $16,200
- Transfer to Income and Expenditure Account (10%): 10% * $16,200 = $1,620
- Closing balance on 31 December 2022: $16,200 - $1,620 = $14,580

1 mark for correct calculation and selection of option B. Incorrect calculations lead to other options.

The formula for the Internal Rate of Return (IRR) using interpolation is:

IRR = L + (NPV_L / (NPV_L - NPV_H)) * (H - L)

Where:
- L = Lower discount rate (10%)
- H = Higher discount rate (15%)
- NPV_L = NPV at the lower rate (+$8,000)
- NPV_H = NPV at the higher rate (-$4,000)

Substitute the values into the formula:

IRR = 10% + (8,000 / (8,000 - (-4,000))) * (15% - 10%)
IRR = 10% + (8,000 / 12,000) * 5%
IRR = 10% + 0.6667 * 5% = 10% + 3.33% = 13.33%

1 mark for correct calculation and selection of option C. Distractor A represents using the higher NPV of -$4,000 in the numerator. Distractor B represents a simple average of 10% and 15%.

1. Calculate the raw material requirement for production in October and November:
- October production requirement: 5,000 units * 3 kg/unit = 15,000 kg
- November production requirement: 6,000 units * 3 kg/unit = 18,000 kg

2. Calculate the required inventories for October:
- Budgeted opening inventory for October (20% of October's requirement): 20% * 15,000 kg = 3,000 kg
- Budgeted closing inventory for October (20% of November's requirement): 20% * 18,000 kg = 3,600 kg

3. Calculate the budgeted purchases for October:
- Budgeted Purchases = Production requirement + Closing inventory - Opening inventory
- Budgeted Purchases = 15,000 kg + 3,600 kg - 3,000 kg = 15,600 kg

1 mark for the correct answer C. Option A is calculated by mistakenly subtracting closing inventory and adding opening inventory. Option B is just the raw material requirement for October production.

1. Initial State:
- Ordinary Share Capital = $200,000
- Nominal value per share = $0.50
- Number of shares in issue = $200,000 / $0.50 = 400,000 shares
- Share Premium = $80,000

2. Bonus Issue (1-for-4):
- Number of bonus shares = 400,000 / 4 = 100,000 shares
- Nominal value of bonus shares = 100,000 * $0.50 = $50,000
- Funded from Share Premium: Share Premium decreases by $50,000.
- Share Premium balance after bonus issue = $80,000 - $50,000 = $30,000
- Total shares in issue now = 400,000 + 100,000 = 500,000 shares

3. Rights Issue (1-for-5 at $0.80):
- Number of rights shares = 500,000 / 5 = 100,000 shares
- Issue price = $0.80 (Nominal value $0.50 + Premium $0.30)
- Premium per share = $0.30
- Share Premium received from rights issue = 100,000 * $0.30 = $30,000
- Final Share Premium balance = $30,000 (from step 2) + $30,000 = $60,000

1 mark for the correct option C. Option A is the balance after the bonus issue only. Option B is calculated if the rights issue is incorrectly based on the original number of shares (400,000). Option D is calculated if the bonus issue did not use share premium.

1. Calculate the Revenue (Credit Sales):
- Gross profit margin is 25% of Revenue, which means Cost of Sales is 75% of Revenue (100% - 25%).
- Revenue = Cost of Sales / 0.75 = $360,000 / 0.75 = $480,000.
- Since all sales are on credit, Credit Sales = $480,000.

2. Calculate Average Trade Receivables:
- Trade receivables turnover period = (Average Trade Receivables / Credit Sales) * 360 days
- 36 days = (Average Trade Receivables / $480,000) * 360
- Average Trade Receivables = $480,000 * (36 / 360) = $48,000.

1 mark for the correct answer C. Option A is calculated using Cost of Sales instead of Revenue. Option B is calculated using Gross Profit mark-up of 25% instead of margin. Option D is calculated using the payables days ratio.

1. Calculate the Overhead Absorption Rate (OAR):
- OAR = Budgeted Overheads / Budgeted Direct Labour Hours = $120,000 / 15,000 hours = $8 per hour.

2. Calculate the Overheads Absorbed:
- Overheads Absorbed = Actual Hours worked * OAR = 16,000 hours * $8 = $128,000.

3. Calculate Under/Over Absorption:
- Overheads Under/Over Absorbed = Overheads Absorbed - Actual Overheads Incurred
- Under/Over Absorption = $128,000 - $132,000 = -$4,000.
- Since the absorbed overheads ($128,000) are less than the actual overheads incurred ($132,000), overheads are under-absorbed by $4,000.

1 mark for the correct option A. Option B represents the same value but incorrectly labeled as over-absorbed. Option C represents the difference between actual and budgeted overheads.

To calculate the corrected profit, we must adjust the draft profit for both errors:

1. Adjustment for Van Repair (Revenue vs. Capital Expenditure):
- Repairing a van is revenue expenditure, so it should be expensed. This reduces profit by $3,200.
- Because the $3,200 was capitalized, depreciation of 20% ($3,200 * 20% = $640) was incorrectly charged as an expense. This incorrect depreciation expense must be added back to profit.
- Net impact of this correction = -$3,200 + $640 = -$2,560.

2. Adjustment for Owner's Personal Holiday (Drawings vs. Expenses):
- The owner's personal expenses are drawings, not business expenses. This $1,500 should not have been charged to the General Expenses account.
- Correcting this overstatement of expenses increases profit by $1,500.

3. Calculation of Corrected Profit:
- Corrected Profit = Draft Profit $84,500 - $3,200 + $640 + $1,500 = $83,440.

1 mark for the correct option B. Option A ignores the depreciation adjustment. Option C incorrectly deducts the drawings. Option D treats the repair costs as an increase in profit.

1. Calculate the initial number of shares: \( \$400,000 / \$0.50 = 800,000 \) shares.
2. Calculate the bonus issue shares: \( 800,000 \times 1/4 = 200,000 \) shares.
3. Nominal value of bonus shares: \( 200,000 \times \$0.50 = \$100,000 \).
4. Determine funding source: Share premium is fully utilized first (\( \$70,000 \)), leaving \( \$100,000 - \$70,000 = \$30,000 \) to be funded from Retained Earnings.
5. Calculate closing Retained Earnings: \( \text{Opening} \ \$180,000 - \text{Bonus issue} \ \$30,000 + \text{Profit} \ \$95,000 - \text{Dividends} \ \$25,000 = \$220,000 \).

1 mark for the correct option (B). Award 0 marks for any other option. Accuracy in understanding bonus issue mechanics and applying appropriate capital structures is tested.

1. Year 0 cash flow: Machine cost \( -\$100,000 \) and Working Capital \( -\$15,000 \) = \( -\$115,000 \).
2. Year 1 cash flow: Operating inflow \( \$45,000 \times 0.893 = \$40,185 \).
3. Year 2 cash flow: Operating inflow \( \$45,000 \times 0.797 = \$35,865 \).
4. Year 3 cash flow: Operating inflow \( \$45,000 \) + Scrap value \( \$10,000 \) + Working Capital recovery \( \$15,000 = \$70,000 \). PV = \( \$70,000 \times 0.712 = \$49,840 \).
5. NPV = \( -\$115,000 + \$40,185 + \$35,865 + \$49,840 = \$10,890 \).

1 mark for the correct option (C). Award 0 marks for incorrect option. Tests ability to handle initial working capital outflows and subsequent recoveries as well as asset disposal proceeds.

1. Month 1 Production = Sales (4,000) + Closing FG inventory (20% of 5,000 = 1,000) - Opening FG inventory (800) = 4,200 units.
2. Month 2 Production = Sales (5,000) + Closing FG inventory (20% of 6,000 = 1,200) - Opening FG inventory (1,000) = 5,200 units.
3. Month 1 Raw Material production requirement = \( 4,200 \times 2.5 \text{ kg} = 10,500 \text{ kg} \).
4. Month 2 Raw Material production requirement = \( 5,200 \times 2.5 \text{ kg} = 13,000 \text{ kg} \).
5. Month 1 closing raw material inventory = \( 10\% \times 13,000 \text{ kg} = 1,300 \text{ kg} \).
6. Month 1 opening raw material inventory = \( 10\% \times 10,500 \text{ kg} = 1,050 \text{ kg} \).
7. Month 1 purchases = \( 10,500 + 1,300 - 1,050 = 10,750 \text{ kg} \).

1 mark for the correct option (C). Tests multi-stage budgeting skills covering both finished goods and raw material inventory adjustments.

1. Machining OAR = \( \$180,000 / 15,000 = \$12 \) per machine hour.
2. Machining overheads absorbed = \( 16,000 \times \$12 = \$192,000 \). Actual Machining overheads = \( \$185,000 \). Machining is \( \$7,000 \) over-absorbed.
3. Assembly OAR = \( \$120,000 / 20,000 = \$6 \) per direct labour hour.
4. Assembly overheads absorbed = \( 19,500 \times \$6 = \$117,000 \). Actual Assembly overheads = \( \$115,000 \). Assembly is \( \$2,000 \) over-absorbed.
5. Total over-absorption = \( \$7,000 + \$2,000 = \$9,000 \) over-absorbed.

1 mark for the correct option (D). Requires step-by-step OAR computation and subsequent identification of the net directional change.

1. Opening balance: \( \$24,000 \).
2. New receipts: \( 5 \times \$1,200 = \$6,000 \).
3. Total fund balance before year-end transfer: \( \$24,000 + \$6,000 = \$30,000 \).
4. Transfer amount (10%): \( 10\% \times \$30,000 = \$3,000 \).
5. Closing balance: \( \$30,000 - \$3,000 = \$27,000 \).

1 mark for the correct option (A). Tests conceptual and numerical understanding of accounting for life membership schemes in clubs.

Assume initial Current Assets (CA) = \( \$150,000 \) and Current Liabilities (CL) = \( \$100,000 \) (Current Ratio 1.5:1).
Transaction 1: CA becomes \( \$145,000 \), CL becomes \( \$95,000 \). New Current Ratio = \( 145,000 / 95,000 = 1.53:1 \) (Increase).
Transaction 2 (calculated independently on the original ratio): CA becomes \( \$160,000 \), CL becomes \( \$110,000 \). New Current Ratio = \( 160,000 / 110,000 = 1.45:1 \) (Decrease).

1 mark for the correct option (A). Tests the understanding of how proportional changes to the numerator and denominator affect a ratio when the ratio is greater than 1.

**Part (a) Vanguard Retail Limited
Statement of Profit or Loss for the year ended 31 December 2023**




Component
$
$



Revenue840,000
Cost of Sales (W1)(411,500)
Gross Profit428,500
Administrative Expenses (W2)(89,940)
Distribution Costs (W3)(99,400)
Profit from Operations239,160
Finance Costs (Debenture Interest: 6% of $100,000)(6,000)
Profit for the Year233,160



**Workings for Part (a):**

**W1: Cost of Sales**
Opening Inventory: $52,000
Add: Purchases: $410,000
Add: Carriage inwards: $8,500
Less: Closing Inventory: ($59,000) (calculated as: cost of $61,500 - $2,500 write-down for damaged stock where net realisable value is $1,800 - $300 = $1,500, which is lower than cost of $4,000)
Cost of Sales = $52,000 + $410,000 + $8,500 - $59,000 = $411,500

**W2: Administrative Expenses**
Trial balance figure: $94,000
Less: Interim dividend paid in error: ($6,000) (calculated as: 400,000 shares * $0.015 per share)
Less: Prepaid administrative expenses: ($3,200)
Add: Premises depreciation: $4,500 (calculated as: 2% * $450,000 * 50% split)
Add: Increase in provision for doubtful debts: $640 (calculated as: required provision of 4% of $76,000 = $3,040, less existing provision of $2,400)
Total Administrative Expenses = $94,000 - $6,000 - $3,200 + $4,500 + $640 = $89,940

**W3: Distribution Costs**
Trial balance figure: $68,000
Add: Carriage outwards: $12,000
Add: Accrued distribution costs: $4,100
Add: Premises depreciation: $4,500 (calculated as: 2% * $450,000 * 50% split)
Add: Equipment depreciation: $10,800 (calculated as: 15% * ($120,000 cost - $48,000 accumulated depreciation))
Total Distribution Costs = $68,000 + $12,000 + $4,100 + $4,500 + $10,800 = $99,400

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**Part (b) Vanguard Retail Limited
Statement of Changes in Equity for the year ended 31 December 2023**




Details
Ordinary Share Capital ($)
Share Premium ($)
General Reserve ($)
Retained Earnings ($)
Total ($)



Balances at 1 January 2023 (W4)160,00010,000-96,000266,000
Rights Issue (W4)40,00020,000--60,000
Profit for the Year---233,160233,160
Dividends Paid (W2)---(6,000)(6,000)
Transfer to General Reserve--15,000(15,000)-
Balances at 31 December 2023200,00030,00015,000308,160553,160



**Workings for Part (b):**

**W4: Rights Issue and Opening Balances of Equity**
- At 31 December 2023, share capital is $200,000. Since shares are $0.50 each, the total number of shares is 400,000.
- The rights issue was 1 for every 4 held. If \(S\) is the number of shares on 1 January 2023, then:
\(S + 0.25S = 400,000 \Rightarrow 1.25S = 400,000 \Rightarrow S = 320,000\) shares.
- Thus, the number of rights shares issued was 80,000 shares.
- Share capital increased by: \(80,000 \times $0.50 = $40,000\).
- Opening Share Capital = \($200,000 - $40,000 = $160,000\).
- Rights issue price was $0.75 per share, representing a premium of $0.25 per share.
- Share premium increased by: \(80,000 \times $0.25 = $20,000\).
- Opening Share Premium = \($30,000 - $20,000 = $10,000\).

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**Part (c) Theory Questions**

**(i) Distinguish between a capital reserve and a revenue reserve:**
- **Capital Reserve:** Formed from non-trading operations, such as the premium on a share issue or the revaluation of assets. It is not generally available to be distributed as cash dividends. Example from Vanguard: **Share Premium**.
- **Revenue Reserve:** Formed from undistributed trading profits. It is available to be distributed to shareholders in the form of cash dividends. Examples from Vanguard: **Retained Earnings** or **General Reserve**.

**(ii) Reasons why directors might choose to transfer funds to a general reserve:**
- **Signalling/Intent:** To signal to shareholders that these profits are being reinvested inside the company and are not available for immediate dividend distribution.
- **Protect Liquidity:** Dividends involve cash outflows. Retaining profits as a general reserve helps preserve cash/working capital for daily operations.
- **Future Projects:** To set aside funding for future expansion plans or purchase of non-current assets without taking on debt.
- **Financial Strength:** To strengthen the balance sheet structure, giving creditors and lenders greater confidence.

**Part (a) [14 Marks Total]**
- **Revenue & Cost of sales structure:** [1 mark]
- **Opening inventory, Purchases & Carriage inwards correctly treated:** [1 mark]
- **Closing inventory valuation adjusted to $59,000:** [2 marks] (1 mark for working showing the $2,500 write-down)
- **Gross Profit of $428,500 (or OF):** [1 mark]
- **Administrative expenses:** [3 marks] (1 mark for deducting dividend $6,000, 1 mark for deducting prepayment $3,200, 1 mark for adding $4,500 premises depreciation and $640 provision increase)
- **Distribution costs:** [3 marks] (1 mark for adding accrual $4,100 and carriage outwards $12,000, 1 mark for premises depreciation of $4,500, 1 mark for equipment depreciation of $10,800)
- **Finance costs (Debenture interest of $6,000):** [2 marks] (1 mark for calculation, 1 mark for correct placement in Income Statement)
- **Profit for the year of $233,160 (or OF):** [1 mark]

**Part (b) [8 Marks Total]**
- **Opening Ordinary Share Capital of $160,000:** [1 mark] (correct calculation)
- **Opening Share Premium of $10,000:** [1 mark] (correct calculation)
- **Opening Retained Earnings of $96,000:** [1 mark] (from trial balance)
- **Rights issue Share Capital entry of $40,000:** [1 mark]
- **Rights issue Share Premium entry of $20,000:** [1 mark]
- **Profit for the year of $233,160 (or OF):** [1 mark]
- **Interim dividend entry of ($6,000):** [1 mark]
- **General Reserve transfer entries ($15,000 in Gen. Res. & -$15,000 in Ret. Earn.):** [1 mark]

**Part (c)(i) [4 Marks Total]**
- **Definition of capital reserve:** [1 mark]
- **Example of capital reserve from scenario (Share premium):** [1 mark]
- **Definition of revenue reserve:** [1 mark]
- **Example of revenue reserve from scenario (Retained earnings / General reserve):** [1 mark]

**Part (c)(ii) [4 Marks Total]**
- **1 mark per explained reason (up to 4 marks):**
- Indicates reinvestment intention / signals profits not available for dividends.
- Protects liquidity / working capital by restricting cash distribution.
- Sets aside funds for future organic growth/capital investment.
- Improves financial ratios / debt-to-equity ratios for external creditors.

### Detailed Calculations:

**1. Depreciation in 2021 (for opening balances check):**
- Machine A: \( \$40,000 \times 20\% = \$8,000 \)
- Machine B: \( \$24,000 \times 20\% = \$4,800 \)
- Total Provision at 1 January 2022 = \( \$8,000 + \$4,800 = \$12,800 \) (verified)

**2. Transactions in 2022:**
- **1 October 2022 - Disposal of Machine B:**
- Cost: \( \$24,000 \)
- Accumulated Depreciation: \( \$4,800 \) (No depreciation in year of disposal)
- Net Book Value (NBV): \( \$19,200 \)
- Disposal Proceeds: \( \$17,500 \)
- Loss on Disposal: \( \$19,200 - \$17,500 = \$1,700 \)
- **31 December 2022 - Depreciation Charge:**
- Machine A (reducing balance): \( (\$40,000 - \$8,000) \times 20\% = \$6,400 \)
- Machine C (first year, so based on cost): \( \$30,000 \times 20\% = \$6,000 \)
- Total Charge for 2022: \( \$6,400 + \$6,000 = \$12,400 \)

**3. Transactions in 2023:**
- **1 April 2023 - Disposal (Trade-in) of Machine A:**
- Cost: \( \$40,000 \)
- Accumulated Depreciation: \( \$8,000 \text{ (2021)} + \$6,400 \text{ (2022)} = \$14,400 \)
- Net Book Value (NBV): \( \$25,600 \)
- Trade-in Allowance: \( \$22,000 \)
- Loss on Disposal: \( \$25,600 - \$22,000 = \$3,600 \)
- **31 December 2023 - Depreciation Charge:**
- Machine C: \( (\$30,000 - \$6,000) \times 20\% = \$4,800 \)
- Machine D (first year, so based on cost): \( \$50,000 \times 20\% = \$10,000 \)
- Total Charge for 2023: \( \$4,800 + \$10,000 = \$14,800 \)

---

### Ledger Accounts:

**(a) Machinery Account**

| Date | Details | Amount ($) | Date | Details | Amount ($) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| **2022** | | | **2022** | | |
| Jan 1 | Balance b/d | 64,000 | Oct 1 | Disposal (Machine B) | 24,000 |
| Nov 1 | Bank (Machine C) | 30,000 | Dec 31 | Balance c/d | 70,000 |
| | | **94,000** | | | **94,000** |
| **2023** | | | **2023** | | |
| Jan 1 | Balance b/d | 70,000 | Apr 1 | Disposal (Machine A) | 40,000 |
| Apr 1 | Disposal (trade-in) | 22,000 | | | |
| Apr 1 | Bank | 28,000 | Dec 31 | Balance c/d | 80,000 |
| | | **120,000** | | | **120,000** |
| **2024** | | | | | |
| Jan 1 | Balance b/d | 80,000 | | | |

**(b) Provision for Depreciation of Machinery Account**

| Date | Details | Amount ($) | Date | Details | Amount ($) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| **2022** | | | **2022** | | |
| Oct 1 | Disposal (Machine B) | 4,800 | Jan 1 | Balance b/d | 12,800 |
| Dec 31 | Balance c/d | 20,400 | Dec 31 | Income Statement | 12,400 |
| | | **25,200** | | | **25,200** |
| **2023** | | | **2023** | | |
| Apr 1 | Disposal (Machine A) | 14,400 | Jan 1 | Balance b/d | 20,400 |
| Dec 31 | Balance c/d | 20,800 | Dec 31 | Income Statement | 14,800 |
| | | **35,200** | | | **35,200** |
| | | | **2024** | | |
| | | | Jan 1 | Balance b/d | 20,800 |

**(c) Machinery Disposal Account**

| Date | Details | Amount ($) | Date | Details | Amount ($) |
| :--- | :--- | :--- | :--- | :--- | :--- |
| **2022** | | | **2022** | | |
| Oct 1 | Machinery (Machine B) | 24,000 | Oct 1 | Provision for Depr. | 4,800 |
| | | | Oct 1 | Cash/Bank (Proceeds) | 17,500 |
| | | | Dec 31 | Income Statement (loss) | 1,700 |
| | | **24,000** | | | **24,000** |
| **2023** | | | **2023** | | |
| Apr 1 | Machinery (Machine A) | 40,000 | Apr 1 | Provision for Depr. | 14,400 |
| | | | Apr 1 | Machinery (trade-in) | 22,000 |
| | | | Dec 31 | Income Statement (loss) | 3,600 |
| | | **40,000** | | | **40,000** |

### Marks Allocation:

**(a) Machinery Account (4 marks)**
- **1 mark**: Correct recording of 2022 opening balance ($64,000), addition ($30,000), disposal credit ($24,000), and closing balance c/d ($70,000).
- **1 mark**: Correct credit entry on 1 Apr 2023 for Machine A disposal at cost ($40,000).
- **1 mark**: Correct debit entries on 1 Apr 2023 for the acquisition of Machine D (consisting of trade-in $22,000 and bank $28,000, or a single combined entry of $50,000).
- **1 mark**: Correct closing balance c/d of $80,000 at 31 Dec 2023 and opening balance b/d of $80,000 on 1 Jan 2024.

**(b) Provision for Depreciation Account (6 marks)**
- **1 mark**: Correct opening balance of $12,800 and debit entry for Machine B disposal ($4,800) in 2022.
- **1 mark**: Correct calculation and entry for 2022 depreciation charge ($12,400).
- **1 mark**: Correct closing balance c/d of $20,400 at 31 Dec 2022 and opening balance b/d of $20,400 on 1 Jan 2023.
- **1 mark**: Correct debit entry for Machine A disposal accumulated depreciation ($14,400) in 2023.
- **1 mark**: Correct calculation and entry for 2023 depreciation charge ($14,800).
- **1 mark**: Correct closing balance c/d of $20,800 at 31 Dec 2023 and opening balance b/d of $20,800 on 1 Jan 2024.

**(c) Machinery Disposal Account (5 marks)**
- **1 mark**: Correct cost ($24,000) and accumulated depreciation ($4,800) entries for Machine B.
- **1 mark**: Correct bank proceeds entry ($17,500) and transferred loss ($1,700) to the Income Statement for Machine B.
- **1 mark**: Correct cost ($40,000) and accumulated depreciation ($14,400) entries for Machine A.
- **1 mark**: Correct trade-in allowance credit entry of $22,000.
- **1 mark**: Correct transferred loss ($3,600) to the Income Statement for Machine A.

Part (a) Calculations: (i) Gross margin: Year 1: \(\frac{128,000}{320,000} \times 100 = 40.00\%\), Year 2: \(\frac{143,500}{410,000} \times 100 = 35.00\%\). (ii) Profit margin: Year 1: \(\frac{48,000}{320,000} \times 100 = 15.00\%\), Year 2: \(\frac{41,000}{410,000} \times 100 = 10.00\%\). (iii) Inventory turnover (days): Year 1: \(\frac{24,000}{192,000} \times 365 = 45.63\) days, Year 2: \(\frac{35,000}{266,500} \times 365 = 47.94\) days. (iv) Trade receivables turnover (days): Year 1: \(\frac{32,000}{320,000} \times 365 = 36.50\) days, Year 2: \(\frac{45,000}{410,000} \times 365 = 40.06\) days. Part (b) Reasons for change in Gross Margin (from 40.00% to 35.00%): 1. Cost of goods purchased from suppliers might have increased, but Anika did not pass this increase on to her customers to remain competitive. 2. Anika may have run promotions or offered trade discounts, which increased total revenue (volume) but lowered the average profit margin per unit sold. Part (c) Discussion of actions to improve liquidity: 1. Offer cash discounts: Offering credit customers a discount for prompt payment (e.g., 2% if paid within 10 days) will incentivize faster payments, improving the bank balance and reducing trade receivables turnover days. 2. Better inventory control: Anika can reduce inventory holdings (e.g., by buying in smaller quantities or running clearance sales for slow-moving items) which immediately releases cash previously tied up in working capital.

Part (a) [8 marks total]: 1 mark for each correct ratio calculated per year. (i) Year 1: 40.00% (1), Year 2: 35.00% (1). (ii) Year 1: 15.00% (1), Year 2: 10.00% (1). (iii) Year 1: 45.63 days (accept 46 days) (1), Year 2: 47.94 days (accept 48 days) (1). (iv) Year 1: 36.50 days (accept 37 days) (1), Year 2: 40.06 days (accept 40 days) (1). Part (b) [3 marks total]: 1 mark for identifying a reason and up to 2 marks for applying it to the case scenario (e.g., linking the margin decrease to the increase in sales volume or rising supplier costs). Part (c) [4 marks total]: 1 mark for identifying an action (max 2 marks) and 1 mark for explaining how it improves liquidity (max 2 marks).

### Part (a): Overhead Allocation and Apportionment Table

| Cost Item | Basis | Total ($) | Machining ($) | Assembly ($) | Maintenance ($) | Canteen ($) |
| :--- | :--- | :---: | :---: | :---: | :---: | :---: |
| Indirect Wages | Direct / Allocated | 100,000 | 45,000 | 32,000 | 15,000 | 8,000 |
| Rent and rates | Floor Area (4:3:2:1) | 24,000 | 9,600 | 7,200 | 4,800 | 2,400 |
| Power | kWh (9:3:3:0) | 18,000 | 10,800 | 3,600 | 3,600 | 0 |
| Heat and light | Floor Area (4:3:2:1) | 12,000 | 4,800 | 3,600 | 2,400 | 1,200 |
| Depreciation | Machinery Value (12:6:2:0) | 30,000 | 18,000 | 9,000 | 3,000 | 0 |
| **Subtotals** | | **184,000** | **88,200** | **55,400** | **28,800** | **11,600** |

*Working calculations:*
* Rent & Rates: $24,000 \times (4/10) = 9,600$; $24,000 \times (3/10) = 7,200$; $24,000 \times (2/10) = 4,800$; $24,000 \times (1/10) = 2,400$
* Power: $18,000 \times (9/15) = 10,800$; $18,000 \times (3/15) = 3,600$; $18,000 \times (3/15) = 3,600$; $18,000 \times (0/15) = 0$
* Heat & Light: $12,000 \times (4/10) = 4,800$; $12,000 \times (3/10) = 3,600$; $12,000 \times (2/10) = 2,400$; $12,000 \times (1/10) = 1,200$
* Depreciation: $30,000 \times (12/20) = 18,000$; $30,000 \times (6/20) = 9,000$; $30,000 \times (2/20) = 3,000$; $30,000 \times (0/20) = 0$

### Part (b): Re-apportionment of Service Department Overheads
Using the step-down method, Canteen is reapportioned first based on the employee count of receiving departments (Machining: 25, Assembly: 20, Maintenance: 5; Total = 50 employees. Note: Canteen's own employees are excluded from the distribution base).

* **Canteen Re-apportionment ($11,600):**
* Machining: $11,600 \times \frac{25}{50} = $5,800$
* Assembly: $11,600 \times \frac{20}{50} = $4,640$
* Maintenance: $11,600 \times \frac{5}{50} = $1,160$

* **Updated Maintenance Balance:**
* Total = $28,800 (original) + 1,160 (from Canteen) = $29,960$

* **Maintenance Re-apportionment ($29,960):**
* Reapportioned based on budgeted machine hours in Machining (5,000) and Assembly (2,000). Total = 7,000 hours.
* Machining: $29,960 \times \frac{5,000}{7,000} = $21,400$
* Assembly: $29,960 \times \frac{2,000}{7,000} = $8,560$

| Department | Subtotal ($) | Canteen ($) | Maintenance ($) | Total ($) |
| :--- | :---: | :---: | :---: | :---: |
| Machining | 88,200 | +5,800 | +21,400 | **115,400** |
| Assembly | 55,400 | +4,640 | +8,560 | **68,600** |
| Maintenance | 28,800 | +1,160 | -29,960 | **0** |
| Canteen | 11,600 | -11,600 | - | **0** |
| **Total** | **184,000** | **0** | **0** | **184,000** |

### Part (c): Predetermined Overhead Absorption Rates (OAR)
* **Machining Department OAR (Machine Hour basis):**
$$\text{OAR} = \frac{\text{Total Budgeted Overheads}}{\text{Budgeted Machine Hours}} = \frac{\$115,400}{5,000 \text{ hours}} = \$23.08 \text{ per machine hour}$$

* **Assembly Department OAR (Direct Labour Hour basis):**
$$\text{OAR} = \frac{\text{Total Budgeted Overheads}}{\text{Budgeted Direct Labour Hours}} = \frac{\$68,600}{3,500 \text{ hours}} = \$19.60 \text{ per direct labour hour}$$

### Part (d): Under- or Over-Absorption of Overheads
* **Machining Department:**
* Overhead Absorbed = $\text{Actual Hours} \times \text{Predetermined OAR} = 5,200 \text{ hours} \times $23.08 = $120,016$
* Actual Overhead Incurred = $$118,500$
* Over-absorption of Overhead = $$120,016 - $118,500 = $1,516 \text{ (Over-absorbed)}$$

* **Assembly Department:**
* Overhead Absorbed = $\text{Actual Hours} \times \text{Predetermined OAR} = 3,400 \text{ hours} \times \$19.60 = \$66,640$
* Actual Overhead Incurred = $\$67,200$
* Under-absorption of Overhead = $\$67,200 - \$66,640 = \$560 \text{ (Under-absorbed)}$$

### Part (e)
**(i) Reasons for under- or over-absorption (Any two):**
1. Actual overhead expenditure was different from budgeted overhead expenditure.
2. Actual production/activity volume (machine or labour hours) was different from budgeted volume.

**(ii) Discussion of Predetermined OAR vs Actual Rates:**
* *Advantages of Predetermined OAR:*
* Cost information is available immediately when a job or product is completed, enabling timely pricing decisions and quotes.
* Avoids fluctuations in product unit cost caused by seasonal variations in actual overhead expenditures or production volumes.
* Useful for budget control and monitoring variances.
* *Disadvantages of Predetermined OAR:*
* It is based on estimates (budgets), which may be inaccurate and lead to substantial under- or over-absorption of overheads.
* Requires regular adjustments and reconciliation at the end of the accounting period to find and record under/over absorption, which increases accounting workload.

### Part (a) [Total: 8 marks]
- Indirect wages directly allocated: (1 mark) for correct entry in all columns.
- Rent & rates apportioned correctly (M: $9,600; A: $7,200; Mt: $4,800; C: $2,400): (2 marks) (all correct = 2, 1-2 errors = 1, otherwise 0).
- Power apportioned correctly (M: $10,800; A: $3,600; Mt: $3,600; C: $0): (1 mark) (all correct = 1).
- Heat & light apportioned correctly (M: $4,800; A: $3,600; Mt: $2,400; C: $1,200): (1 mark).
- Depreciation apportioned correctly (M: $18,000; A: $9,000; Mt: $3,000; C: $0): (2 marks) (all correct = 2, 1-2 errors = 1, otherwise 0).
- Correct subtotals ($88,200; $55,400; $28,800; $11,600): (1 mark) (own figure (OF) accepted if previous figures sum correctly).

### Part (b) [Total: 6 marks]
- Re-apportionment of Canteen based on employee ratio 25:20:5 (Total 50): (1 mark) for correct ratio identification (excluding Canteen's 4 employees).
- Correct Canteen allocation (M: +$5,800; A: +$4,640; Mt: +$1,160): (2 marks) (all correct = 2, 1 error = 1).
- Maintenance new balance of $29,960: (1 mark) (including Canteen portion).
- Re-apportionment of Maintenance based on machine hours ratio 5,000:2,000 (Total 7,000): (1 mark) for correct ratio.
- Correct Maintenance allocation (M: +$21,400; A: +$8,560): (1 mark).

### Part (c) [Total: 4 marks]
- Machining OAR calculation formula & working ($115,400 / 5,000): (1 mark) (OF accepted).
- Machining OAR answer ($23.08 per machine hour): (1 mark) (OF accepted).
- Assembly OAR calculation formula & working ($68,600 / 3,500): (1 mark) (OF accepted).
- Assembly OAR answer ($19.60 per direct labour hour): (1 mark) (OF accepted).

### Part (d) [Total: 6 marks]
- Machining overhead absorbed ($5,200 x $23.08 = $120,016): (1 mark) (OF accepted).
- Machining difference identification ($120,016 - $118,500 = $1,516): (1 mark) (OF accepted).
- Machining labeled correctly as 'Over-absorbed': (1 mark).
- Assembly overhead absorbed ($3,400 x $19.60 = $66,640): (1 mark) (OF accepted).
- Assembly difference identification ($67,200 - $66,640 = $560): (1 mark) (OF accepted).
- Assembly labeled correctly as 'Under-absorbed': (1 mark).

### Part (e) [Total: 6 marks]
- (i) Reasons for under/over absorption: (2 marks) (1 mark per valid point up to 2 points).
- (ii) Discussion: (4 marks) (Max 2 marks for advantages, max 2 marks for disadvantages). Point-by-point marking based on development of arguments.

**(a) Calculation of Accumulated Fund at 1 January 2023**

\begin{array}{lrr} & $ & $ \\ \textbf{Assets:} & & \\ \text{Clubhouse and equipment} & 85,000 & \\ \text{Sports shop inventory} & 3,400 & \\ \text{Subscriptions in arrears} & 1,200 & \\ \text{Cash at bank} & 4,600 & \\ \hline & & 94,200 \\ \textbf{Liabilities:} & & \\ \text{Subscriptions in advance} & 800 & \\ \text{Trade payables (suppliers)} & 1,500 & \\ \hline & & (2,300) \\ \hline \textbf{Accumulated Fund} & & \mathbf{91,900} \\ \hline \end{array}

**(b) Sports Shop Trading Account for the year ended 31 December 2023**

\begin{array}{lrr} & $ & $ \\ \text{Revenue (Sales)} & & 12,600 \\ \textbf{Cost of Sales:} & & \\ \text{Opening inventory} & 3,400 & \\ \text{Purchases (W1)} & 7,500 & \\ \hline & 10,900 & \\ \text{Less: Closing inventory} & (2,900) & (8,000) \\ \hline \textbf{Shop Profit} & & \mathbf{4,600} \\ \hline \end{array}

*W1: Purchases calculation*
\text{Payments to suppliers: } $7,900 + \text{Closing payables: } $1,100 - \text{Opening payables: } $1,500 = $7,500.

**(c) Subscriptions Account for the year ended 31 December 2023**

\begin{array}{lr|lr} \textbf{Dr} & & & \textbf{Cr} \\ \hline & $ & & $ \\ \text{Balance b/d (Arrears)} & 1,200 & \text{Balance b/d (Advance)} & 800 \\ \text{Income & Expenditure (Bal. fig)} & \mathbf{18,450} & \text{Receipts & Payments (Cash)} & 18,400 \\ \text{Balance c/d (Advance)} & 600 & \text{Irrecoverable subscriptions} & 150 \\ & & \text{Balance c/d (Arrears)} & 900 \\ \hline & 20,250 & & 20,250 \\ \hline \end{array}

**(d) Income and Expenditure Account for the year ended 31 December 2023**

\begin{array}{lrr} & $ & $ \\ \textbf{Income:} & & \\ \text{Subscriptions} & 18,450 & \\ \text{Sports shop profit} & 4,600 & \\ \text{Competition surplus ($2,100 - $1,200)} & 900 & 23,950 \\ \hline \textbf{Expenditure:} & & \\ \text{Rent and rates ($4,800 - $400)} & 4,400 & \\ \text{General expenses} & 3,500 & \\ \text{Irrecoverable subscriptions} & 150 & \\ \text{Depreciation (W2)} & 9,100 & (17,150) \\ \hline \textbf{Surplus of Income over Expenditure} & & \mathbf{6,800} \\ \hline \end{array}

*W2: Depreciation*
\text{Book value of assets: } $85,000 + \text{Additions: } $6,000 = $91,000
\text{Depreciation = } 10\% \times $91,000 = $9,100.

**(e) Discussion of Life Membership Accounting**
- Life membership involves a one-off payment granting membership benefits for life.
- Recognizing the entire fee as income immediately violates the accrual (matching) concept, as the club will incur expenses to serve the member over many future years.
- The correct treatment is to capitalize the fees into a "Life Membership Fund" (recorded as a non-current liability).
- A proportion of this fund should be transferred systematically to the Income and Expenditure Account each year over an estimated active membership period (e.g., 10 or 15 years) or upon the member's death.

**(a) Accumulated Fund Calculation [4 Marks total]**
- 1 Mark for listing correct opening assets (Clubhouse, Inventory, Arrears, Cash).
- 1 Mark for listing correct opening liabilities (Advance, Payables).
- 1 Mark for calculating correct Net Assets of $91,900.
- 1 Mark for correctly identifying it as the "Accumulated Fund" (terminology).

**(b) Sports Shop Trading Account [6 Marks total]**
- 1 Mark for showing Sales of $12,600.
- 1 Mark for correct Opening Inventory of $3,400.
- 2 Marks (1 Method, 1 Accuracy) for calculating correct Purchases of $7,500.
- 1 Mark for deducting correct Closing Inventory of $2,900.
- 1 Mark for correct Shop Profit of $4,600.

**(c) Subscriptions Account [5 Marks total]**
- 1 Mark for correctly entering opening balances (Arrears Dr / Advance Cr).
- 1 Mark for correctly entering closing balances (Advance Dr / Arrears Cr).
- 1 Mark for recording Cash receipt of $18,400 on the credit side.
- 1 Mark for recording Irrecoverable write-off of $150 on the credit side.
- 1 Mark for the balancing figure of $18,450 to Income and Expenditure Account.

**(d) Income and Expenditure Account [6 Marks total]**
- 1 Mark for Subscriptions of $18,450 (or Own Figure from part c).
- 1 Mark for Shop Profit of $4,600 (or Own Figure from part b) and Competition Surplus of $900.
- 1 Mark for Rent and Rates adjusted to $4,400.
- 1 Mark for including both Irrecoverable Subscriptions ($150) and General Expenses ($3,500).
- 1 Mark for correct Depreciation calculation of $9,100.
- 1 Mark for correct final Surplus of $6,800.

**(e) Discussion of Life Membership [4 Marks total]**
- 1 Mark for identifying that life membership represents future years' service / long-term obligation.
- 1 Mark for referencing the accrual / matching concept.
- 1 Mark for stating the credit should go to a "Life Membership Fund" (deferred income/liability).
- 1 Mark for recommending systematic transfer of a portion to the Income and Expenditure Account annually.

**(a) Gearing Ratio Calculation**

$$\text{Formula: } \frac{\text{Non-current liabilities}}{\text{Total Capital Employed}} \times 100$$

- **Current Gearing**:
- Current Equity = $1,000,000 + $150,000 + $500,000 = $1,650,000
- Current Debt = $500,000
- Current Capital Employed = $2,150,000
- \(\text{Gearing Ratio} = \frac{\$500,000}{\$2,150,000} \times 100 = 23.26\%\)

- **Option A Gearing (Equity Issue)**:
- New Equity = $1,650,000 + $600,000 = $2,250,000
- Debt = $500,000
- Capital Employed = $2,750,000
- \(\text{Gearing Ratio} = \frac{\$500,000}{\$2,750,000} \times 100 = 18.18\%\)

- **Option B Gearing (Debt Issue)**:
- Equity = $1,650,000
- New Debt = $500,000 + $600,000 = $1,100,000
- Capital Employed = $2,750,000
- \(\text{Gearing Ratio} = \frac{\$1,100,000}{\$2,750,000} \times 100 = 40.00\%\)

---

**(b) Projected Earnings Per Share (EPS) Calculation**

$$\text{Formula: } \frac{\text{Profit after Tax}}{\text{Number of Ordinary Shares}}$$

- **Option A**:
- Operating Profit (EBIT): $320,000 + $110,000 = $430,000
- Less: Interest on existing Debentures (8% of $500,000): ($40,000)
- Profit Before Tax (PBT): $390,000
- Tax (20%): ($78,000)
- Profit After Tax (PAT): $312,000
- Number of Ordinary Shares: \(\frac{\$1,000,000}{\$0.50}\) + 800,000 = 2,800,000 shares
- \(\text{EPS} = \frac{\$312,000}{2,800,000} = \$0.1114\) or **11.14 cents**

- **Option B**:
- Operating Profit (EBIT): $430,000
- Less: Existing Interest: ($40,000)
- Less: New Interest (10% of $600,000): ($60,000)
- Profit Before Tax (PBT): $330,000
- Tax (20%): ($66,000)
- Profit After Tax (PAT): $264,000
- Number of Ordinary Shares: 2,000,000 shares
- \(\text{EPS} = \frac{\$264,000}{2,000,000} = \$0.1320\) or **13.20 cents**

---

**(c) Projected Return on Capital Employed (ROCE) Calculation**

$$\text{Formula: } \frac{\text{Operating Profit (EBIT)}}{\text{Total Capital Employed}} \times 100$$

- **Option A**:
- \(\text{ROCE} = \frac{\$430,000}{\$2,750,000} \times 100 = 15.64\%\)

- **Option B**:
- \(\text{ROCE} = \frac{\$430,000}{\$2,750,000} \times 100 = 15.64\%\)

*Note: ROCE remains identical under both options because the total capital employed and operating profit generated are the same. ROCE does not take the source of financing (interest) into account.*

---

**(d) Evaluation and Recommendation**

- **Returns to Shareholders (EPS)**: Option B yields a higher EPS of 13.20 cents compared to 11.14 cents under Option A. This is due to the positive effect of financial leverage (the ROCE of 15.64% exceeds the after-tax cost of the new debt).
- **Control**: Option A involves issuing 800,000 new shares, which dilutes the ownership and voting rights of the existing shareholders. Option B preserves control.
- **Risk**: Option B increases the gearing ratio significantly from 23.26% to 40.00%. While this increases financial risk (especially if earnings fluctuate), 40% gearing is generally considered acceptable and moderate. Option A actually decreases the gearing ratio to 18.18%, reducing risk.
- **Cost of Capital**: Debt interest is tax-deductible, reducing the effective cost of debt to 8% (after-tax), whereas dividends on shares are not tax-deductible and equity is generally a more expensive source of finance.

**Recommendation**: The directors should choose **Option B**. It provides a superior return (higher EPS) for existing shareholders, prevents dilution of control, and keeps gearing within a reasonable risk limit of 40%.

**(a) Gearing Ratios [Total: 6 marks]**
- Formula or evidence of working for capital employed (1 mark)
- Current gearing calculation: \(23.26\%\) (1 mark)
- Option A Capital Employed ($2,750,000) (1 mark)
- Option A Gearing calculation: \(18.18\%\) (1 mark)
- Option B Debt calculation ($1,100,000) (1 mark)
- Option B Gearing calculation: \(40.00\%\) (1 mark)

**(b) EPS Calculations [Total: 8 marks]**
- Option A:
- Operating Profit less Interest ($390,000) (1 mark)
- Profit after tax ($312,000) (1 mark)
- Total shares (2,800,000) (1 mark)
- EPS (11.14 cents or $0.1114) (1 mark)
- Option B:
- Operating Profit less total Interest ($330,000) (1 mark)
- Profit after tax ($264,000) (1 mark)
- Total shares (2,000,000) (1 mark)
- EPS (13.20 cents or $0.1320) (1 mark)

**(c) ROCE Calculations [Total: 5 marks]**
- Formula for ROCE (1 mark)
- Option A ROCE calculation and answer: \(15.64\%\) (2 marks)
- Option B ROCE calculation and answer: \(15.64\%\) (2 marks)

**(d) Evaluation and Recommendation [Total: 6 marks]**
- Analysis of financial risk / gearing (Option B increases risk, Option A decreases it) (1 mark)
- Analysis of EPS / returns to shareholders (Option B is higher due to financial gearing) (1 mark)
- Analysis of ownership/control dilution (Option A dilutes, Option B does not) (1 mark)
- Reference to cost of debt vs equity / tax efficiency of debt (1 mark)
- Comment on identical ROCE (1 mark)
- Clear recommendation justified by the points above (1 mark)

### **Part (a) Workings & Statement of Cash Flows**

#### **Workings:**

**1. Profit for the year and Profit Before Tax:**
* Retained Earnings (closing): $195,000
* Retained Earnings (opening): $166,000
* Increase in retained earnings: $29,000
* Add: Dividends paid during the year: $15,000
* **Profit for the year:** $44,000
* Add: Taxation charge: $22,000
* **Profit before tax:** $66,000

**2. Depreciation Charge:**
* Opening carrying amount of PPE: $410,000
* Add: Revaluation upward: $15,000
* Add: Additions (purchases): $190,000
* Less: Disposal carrying amount: ($24,000)
* Less: Closing carrying amount of PPE: ($537,000)
* **Depreciation charge for the year (balancing figure):** $54,000

**3. Loss on Disposal of Machinery:**
* Cost: $48,000
* Accumulated Depreciation: $24,000
* Carrying amount: $24,000
* Disposal proceeds: $18,000
* **Loss on disposal:** $6,000

**4. Interest Expense and Interest Paid:**
* Interest on $80,000 debentures (Jan to Jun): \( \$80,000 \times 8\% \times \frac{6}{12} = \$3,200 \)
* Interest on $50,000 debentures (Jul to Dec): \( \$50,000 \times 8\% \times \frac{6}{12} = \$2,000 \)
* **Total interest expense:** $5,200
* Opening accrued interest: $3,000
* Closing accrued interest: $1,000
* **Interest paid:** \( \$3,000 + \$5,200 - \$1,000 = \$7,200 \)

**5. Tax Paid:**
* Opening tax payable: $14,000
* Add: Tax charge for the year: $22,000
* Less: Closing tax payable: ($18,000)
* **Tax paid:** $18,000

**6. Share Issue Proceeds:**
* Increase in share capital: \( \$250,000 - \$200,000 = \$50,000 \)
* Increase in share premium: \( \$65,000 - \$40,000 = \$25,000 \)
* **Total proceeds:** $75,000

**7. Disposal of Investments:**
* Carrying amount change: \( \$50,000 - \$30,000 = \$20,000 \). Since sold at carrying amount, proceeds = $20,000.

---

#### **Zandervan PLC - Statement of Cash Flows for the year ended 31 December 2023**

| **Cash flows from operating activities** | **$** | **$** |
|---|---|---|
| Profit before tax | | 66,000 |
| *Adjustments for:* | | |
| Depreciation charge | 54,000 | |
| Loss on disposal of PPE | 6,000 | |
| Finance costs (Interest expense) | 5,200 | |
| **Operating cash flow before working capital changes** | | **131,200** |
| Increase in inventory \( (74,000 - 68,000) \) | (6,000) | |
| Decrease in trade receivables \( (54,000 - 47,000) \) | 7,000 | |
| Decrease in trade payables \( (56,000 - 61,000) \) | (5,000) | |
| **Cash generated from operations** | | **127,200** |
| Interest paid | (7,200) | |
| Tax paid | (18,000) | |
| **Net cash from operating activities** | | **102,000** |
| | | |
| **Cash flows from investing activities** | | |
| Purchase of PPE | (190,000) | |
| Proceeds from sale of PPE | 18,000 | |
| Proceeds from sale of long-term investments | 20,000 | |
| **Net cash used in investing activities** | | **(152,000)** |
| | | |
| **Cash flows from financing activities** | | |
| Proceeds from issue of ordinary shares | 75,000 | |
| Redemption of debentures | (30,000) | |
| Dividends paid | (15,000) | |
| **Net cash from financing activities** | | **30,000** |
| | | |
| **Net decrease in cash and cash equivalents** | | **(20,000)** |
| Cash and cash equivalents at beginning of the year | | 12,000 |
| **Cash and cash equivalents at end of the year** | | **(8,000)** |

---

### **Part (b) Cash and cash equivalents reconciliation**

| **Note 1: Reconciliation of cash and cash equivalents** | **At 31 Dec 2022 ($)** | **At 31 Dec 2023 ($)** |
|---|---|---|
| Cash and cash equivalents | 12,000 | – |
| Bank overdraft | – | (8,000) |
| **Total cash and cash equivalents** | **12,000** | **(8,000)** |

---

### **Part (c) Evaluation and Recommendation**

#### **Option 1: Ordinary Shares**
* **Pros:**
* No fixed financial commitments; dividends are discretionary and can be suspended if cash flow is constrained.
* Improves gearing levels (replaces or dilutes debt ratio), reducing financial risk and improving credit ratings.
* Ordinary capital does not require redemption (permanent capital).
* **Cons:**
* Dilutes ownership control of existing shareholders if not a rights issue.
* Dilutes earnings per share (EPS) in the short term until the new expansion generates returns.
* Cost of issuing equity can be higher due to underwriting and regulatory costs.

#### **Option 2: 7% Debentures**
* **Pros:**
* No dilution of control or voting rights of the current shareholders.
* Debenture interest is tax-deductible (effective net cost of interest is lower: \( 7\% \times (1 - \text{tax rate}) \)), which is cheaper than equity.
* If project returns exceed 7%, the excess returns accrue to ordinary shareholders (beneficial financial leverage).
* **Cons:**
* Creates a legal obligation to pay fixed annual interest of 7%, raising the breakeven cash flow point and increasing financial risk.
* Capital must be repaid at a future date (redemption risk).
* Increases the company's gearing ratio, potentially restricting future borrowings.

#### **Recommendation:**
* *Example of a justified recommendation:* Zandervan PLC should choose the **debenture issue**. Since the company is already highly profitable (with operating profits before tax growing) and has just redeemed $30,000 of debentures in 2023 (reducing total debt liabilities), it has unused borrowing capacity. Utilizing debt will protect current ownership against dilution and boost EPS without incurring high immediate equity issue costs.

### **Marking Scheme Breakdown**

#### **Part (a): Statement of Cash Flows (Total: 16 Marks)**
* **Profit before tax:** **1 mark** (for correct calculated figure of $66,000, or OF from retained earnings check)
* **Depreciation charge:** **2 marks** (1 mark for working showing PPE changes, 1 mark for correct depreciation of $54,000)
* **Loss on disposal:** **1 mark** (for $6,000 calculated loss)
* **Finance costs adjustment:** **1 mark** (for $5,200)
* **Inventory increase adjustment:** **1 mark** (for ($6,000))
* **Trade receivables decrease adjustment:** **1 mark** (for +$7,000)
* **Trade payables decrease adjustment:** **1 mark** (for ($5,000))
* **Interest paid:** **2 marks** (1 mark for interest expense working of $5,200, 1 mark for correct cash paid of $7,200)
* **Tax paid:** **2 marks** (1 mark for working showing tax movement, 1 mark for correct cash paid of $18,000)
* **Purchase of PPE:** **1 mark** (for ($190,000))
* **Proceeds from sale of PPE:** **1 mark** (for $18,000)
* **Proceeds from sale of investments:** **1 mark** (for $20,000)
* **Proceeds from share issue:** **1 mark** (for $75,000 showing share capital + share premium increase)
* **Redemption of debentures / Dividends paid:** **1 mark** (for showing both ($30,000) and ($15,000))

#### **Part (b): Note (Total: 2 Marks)**
* **1 mark** for correct 2022 opening balances ($12,000 cash)
* **1 mark** for correct 2023 closing balances ($8,000 overdraft) with correct net decrease total reconciliations.

#### **Part (c): Evaluation and Recommendation (Total: 7 Marks)**
* **Up to 3 marks** for evaluation of issuing Ordinary Shares (max 2 pros, max 2 cons).
* **Up to 3 marks** for evaluation of issuing Debentures (max 2 pros, max 2 cons).
* **1 mark** for a clear and justified recommendation based on the evaluation.

### **(a) Net Present Value (NPV) Calculation**

First, we calculate the Net Cash Flow (NCF) for each year:
* **Year 0:** \(-\$600,000\)
* **Year 1:** \(\$320,000 - \$120,000 = \$200,000\)
* **Year 2:** \(\$350,000 - \$130,000 = \$220,000\)
* **Year 3:** \(\$380,000 - \$140,000 = \$240,000\)
* **Year 4:** \(\$300,000 - \$110,000 + \$80,000 \text{ (scrap)} = \$270,000\)

Applying the discount factors:

| Year | Net Cash Flow (\($\)) | Discount Factor (10%) | Present Value (\($\)) |
|---|---|---|---|
| 0 | (600,000) | 1.000 | (600,000) |
| 1 | 200,000 | 0.909 | 181,800 |
| 2 | 220,000 | 0.826 | 181,720 |
| 3 | 240,000 | 0.751 | 180,240 |
| 4 | 270,000 | 0.683 | 184,410 |
| **NPV** | | | **128,170** |

**NPV = \(\$128,170\)** (Positive)

---

### **(b) Accounting Rate of Return (ARR) Calculation (Average Investment Method)**

1. **Total Net Profit over the project life:**
\(\text{Total Net Cash Flows (excluding initial investment but including scrap)} - \text{Total Depreciation}\)
\(\text{Total NCF} = \$200,000 + \$220,000 + \$240,000 + \$190,000 = \$850,000\) (operating only)
\(\text{Add Scrap Value} = \$80,000\)
\(\text{Total Inflows} = \$930,000\)
\(\text{Less: Initial Capital Outlay} = \$600,000\)
\(\text{Total Accounting Profit} = \$930,000 - \$600,000 = \$330,000\)

2. **Average Annual Profit:**
\(\text{Average Annual Profit} = \frac{\$330,000}{4 \text{ years}} = \$82,500\)

3. **Average Investment:**
\(\text{Average Investment} = \frac{\text{Initial Outlay} + \text{Scrap Value}}{2} = \frac{\$600,000 + \$80,000}{2} = \$340,000\)

4. **ARR Calculation:**
\(\text{ARR} = \frac{\text{Average Annual Profit}}{\text{Average Investment}} \times 100\%
= \frac{\$82,500}{\$340,000} \times 100\% = 24.26\%\) (or 24.3%)

---

### **(c) Sensitivity Analysis to Initial Outlay**

\(\text{Sensitivity} = \frac{\text{NPV}}{\text{PV of Initial Outlay}} \times 100\%
= \frac{\$128,170}{\$600,000} \times 100\% = 21.36\%\)

This means the initial outlay can increase by up to 21.36% before the project becomes unviable (NPV drops to zero).

---

### **(d) Evaluation and Recommendation**

**Financial factors:**
* The NPV is positive at \(\$128,170\), indicating that the project will increase shareholder wealth and exceeds the required rate of return of 10%.
* The ARR is 24.26%, which is a high return and should be compared against the company's target ARR hurdle rate.
* The sensitivity to initial capital outlay is 21.36%, meaning there is a reasonable buffer against capital cost overruns.

**Non-financial factors:**
* Automation may lead to improved quality consistency of the premium carbon-fibre bicycle frames.
* There might be a reduction in labor requirements, which could lead to redundancy costs or staff demotivation.
* Implementation risks: possible delays in installing the automated machinery and training staff to operate it.
* Market demand: carbon-fibre frames are premium products; a drop in economic growth may affect sales forecasts.

**Recommendation:**
The directors should proceed with Project Alpha as it is financially very strong (positive NPV and high ARR) and offers a decent margin of safety (sensitivity of 21.36%), provided they can manage the transition risks associated with automation.

**(a) Net Present Value (NPV): 8 Marks**
* 1 mark for each year's correct net cash flow (4 marks total for Years 1, 2, 3, and 4 [which must include scrap of \(\$80,000\)]).
* 1 mark for multiplying each year's net cash flow by the correct discount factor.
* 1 mark for correct total present value of cash inflows (\(\$728,170\)).
* 1 mark for subtracting the initial outlay (\(\$600,000\)).
* 1 mark for correct final NPV of \(\$128,170\).

**(b) Accounting Rate of Return (ARR): 6 Marks**
* 1 mark for calculating total profit over the project's life (\(\$330,000\)).
* 1 mark for calculating average annual profit (\(\$82,500\)).
* 1 mark for calculating average investment (\(\$340,000\)).
* 1 mark for the correct ARR formula structure.
* 2 marks for the correct final percentage calculation of 24.26% (or 24.3%). (Allow OF/own figure marks if profit or average investment was calculated with error).

**(c) Sensitivity Analysis: 3 Marks**
* 1 mark for correct formula (NPV / Initial Outlay).
* 2 marks for correct calculation of 21.36% (allow OF based on NPV from part a).

**(d) Evaluation and Recommendation: 8 Marks**
* Up to 4 marks for financial evaluation (discussing positive NPV, high ARR, sensitivity/margin of safety, cost of capital).
* Up to 3 marks for non-financial evaluation (automation quality benefits, labor redundancies, market demand, training issues).
* 1 mark for a clear, justified final recommendation.

Part (a) Cash Budget under Existing Terms:

1. Cash Receipts from Trade Receivables:
- January 2026:
- Current month sales: \( 50\% \times \$150,000 \times 98\% = \$73,500 \)
- One month prior (December): \( 30\% \times \$140,000 = \$42,000 \)
- Two months prior (November): \( 18\% \times \$120,000 = \$21,600 \)
- Total Receipts Jan = \( \$73,500 + \$42,000 + \$21,600 = \$137,100 \)
- February 2026:
- Current month sales: \( 50\% \times \$160,000 \times 98\% = \$78,400 \)
- One month prior (January): \( 30\% \times \$150,000 = \$45,000 \)
- Two months prior (December): \( 18\% \times \$140,000 = \$25,200 \)
- Total Receipts Feb = \( \$78,400 + \$45,000 + \$25,200 = \$148,600 \)
- March 2026:
- Current month sales: \( 50\% \times \$180,000 \times 98\% = \$88,200 \)
- One month prior (February): \( 30\% \times \$160,000 = \$48,000 \)
- Two months prior (January): \( 18\% \times \$150,000 = \$27,000 \)
- Total Receipts Mar = \( \$88,200 + \$48,000 + \$27,000 = \$163,200 \)

2. Cash Payments:
- Creditors (Trade Payables): Purchases are paid in the month following purchase. Purchases are 60% of next month's sales.
- Dec purchases (paid in Jan) = \( 60\% \times \$150,000 = \$90,000 \)
- Jan purchases (paid in Feb) = \( 60\% \times \$160,000 = \$96,000 \)
- Feb purchases (paid in Mar) = \( 60\% \times \$180,000 = \$108,000 \)
- Cash Operating Expenses: Budgeted expense \( \$35,000 \) minus depreciation \( \$5,000 \) = \( \$30,000 \) per month.
- Capital Expenditure: Packaging machine paid in February = \( \$45,000 \).

Summary Budget Table (Existing Terms):
| Detail | January ($) | February ($) | March ($) |
|---|---|---|---|
| **Receipts** | 137,100 | 148,600 | 163,200 |
| **Payments** | | | |
| Trade Payables | (90,000) | (96,000) | (108,000) |
| Cash Expenses | (30,000) | (30,000) | (30,000) |
| Machine | - | (45,000) | - |
| **Total Payments** | (120,000) | (171,000) | (138,000) |
| **Net Cash Flow** | 17,100 | (22,400) | 25,200 |
| **Opening Balance** | (12,000) | 5,100 | (17,300) |
| **Closing Balance** | 5,100 | (17,300) | 7,900 |

---

Part (b) Revised Cash Budget under Proposed Terms:
Note: Nov and Dec sales retain old terms. Jan, Feb, and Mar sales use the new 70% / 20% / 9% split with 4% discount.

1. Revised Receipts:
- January 2026:
- Jan sales (new): \( 70\% \times \$150,000 \times 96\% = \$100,800 \)
- Dec sales (old): \( 30\% \times \$140,000 = \$42,000 \)
- Nov sales (old): \( 18\% \times \$120,000 = \$21,600 \)
- Total Jan Revised Receipts = \( \$100,800 + \$42,000 + \$21,600 = \$164,400 \)
- February 2026:
- Feb sales (new): \( 70\% \times \$160,000 \times 96\% = \$107,520 \)
- Jan sales (new): \( 20\% \times \$150,000 = \$30,000 \)
- Dec sales (old): \( 18\% \times \$140,000 = \$25,200 \)
- Total Feb Revised Receipts = \( \$107,520 + \$30,000 + \$25,200 = \$162,720 \)
- March 2026:
- Mar sales (new): \( 70\% \times \$180,000 \times 96\% = \$120,960 \)
- Feb sales (new): \( 20\% \times \$160,000 = \$32,000 \)
- Jan sales (new): \( 9\% \times \$150,000 = \$13,500 \)
- Total Mar Revised Receipts = \( \$120,960 + \$32,000 + \$13,500 = \$166,460 \)

2. Revised Closing Balances (Payments remain identical):
- January:
- Net Cash Flow: \( \$164,400 - \$120,000 = +\$44,400 \)
- Closing Balance: \( -\$12,000 + \$44,400 = +\$32,400 \)
- February:
- Net Cash Flow: \( \$162,720 - \$171,000 = -\$8,280 \)
- Closing Balance: \( \$32,400 - \$8,280 = +\$24,120 \)
- March:
- Net Cash Flow: \( \$166,460 - \$138,000 = +\$28,460 \)
- Closing Balance: \( \$24,120 + \$28,460 = +\$52,580 \)

---

Part (c) Evaluation:
- Liquidity: Cash flows improve significantly. Under the new policy, the company avoids the overdraft position in February (changing from \( \$17,300 \) overdrawn to a positive balance of \( \$24,120 \)). March ending cash goes up by \( \$44,680 \) (from \( \$7,900 \) to \( \$52,580 \)). This reduces borrowing costs.
- Bad debts: Bad debts decrease from 2% to 1%, protecting long-term revenues from default.
- Profitability tradeoff: The discount cost is higher. Previously, the average cash discount cost was \( 50\% \times 2\% = 1.0\% \) of total sales. Now, it is \( 70\% \times 4\% = 2.8\% \) of total sales. This increase of 1.8% in discount cost exceeds the 1.0% savings in bad debts, representing a net cost of 0.8% of credit sales over the long term. However, the timing benefits and interest savings may outweigh this.
- Recommendation: The scheme should be implemented due to the high risk of February insolvency under the old terms during capital expansion.

Part (a) [14 marks in total]:
- Receipts from Jan sales: 1 mark for correct discount computation ($73,500), 1 mark for prior collections ($42,000 and $21,600).
- Receipts from Feb sales: 1 mark for discount ($78,400), 1 mark for prior collections.
- Receipts from Mar sales: 1 mark for discount ($88,200), 1 mark for prior collections.
- Trade Payables: 1 mark for correct December, January, February purchases calculations ($90,000, $96,000, $108,000).
- Operating Expenses: 1 mark for excluding depreciation ($30,000 per month).
- Capital expenditure: 1 mark for inclusion of $45,000 only in February.
- Opening bank balance: 1 mark for correctly beginning with negative $12,000.
- Closing bank balances: 1 mark for Jan ($5,100), 1 mark for Feb (-$17,300), 1 mark for Mar ($7,900).

Part (b) [6 marks in total]:
- January Revised Receipts: 1 mark for new Jan receipts ($100,800) and 1 mark for total ($164,400).
- February Revised Receipts: 1 mark for new Feb receipts ($107,520) and 1 mark for total ($162,720).
- March Revised Receipts: 1 mark for total ($166,460).
- Revised Balances: 1 mark for all three correct closing balances (Jan: $32,400, Feb: $24,120, Mar: $52,580) or follow-through from incorrect receipts.

Part (c) [5 marks in total]:
- 1 mark for noting the significant improvement in liquidity/elimination of the overdraft in February.
- 1 mark for quantifying the long-term cost increase (discounts rise from 1% to 2.8% of sales, offset by only 1% bad debt reduction).
- 1 mark for pointing out the reduction in bad debt exposure (from 2% to 1%).
- 1 mark for mentioning reduced overdraft/interest cost or improved supplier relationships.
- 1 mark for a clear, logical recommendation based on the trade-off of liquidity vs. profitability.