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Question 1 Report
During July 2025, the following goods were returned by credit customers of Obi Trading.
| Date | Credit Note No | Customer | Amount ($) | Reason |
|---|---|---|---|---|
| July 4 | CN 51 | K Sharma | 280 | Goods damaged |
| July 9 | CN 52 | M Tan | 150 | Wrong items sent |
| July 15 | CN 53 | R Patel | 420 | Overcharged |
| July 22 | CN 54 | K Sharma | 180 | Faulty goods |
| July 28 | CN 55 | S Wong | 260 | Goods not as ordered |
(a) Prepare the sales returns day book for July 2025. [6]
(b) Prepare the sales returns account in the general ledger. [2]
(c) Post the entries to the individual accounts in the sales ledger. [5]
(d) State two effects on the financial statements of recording sales returns. [4]
(e) Explain why a credit note is issued when goods are returned by a customer. [3]
(a) Sales Returns Day Book - July 2025
The sales returns day book records goods returned by credit customers. Each entry is supported by a credit note issued by the business.
| Date | Credit Note No | Customer | Amount ($) |
|---|---|---|---|
| Jul 4 | CN 51 | K Sharma | 280 [1] |
| Jul 9 | CN 52 | M Tan | 150 [1] |
| Jul 15 | CN 53 | R Patel | 420 [1] |
| Jul 22 | CN 54 | K Sharma | 180 [1] |
| Jul 28 | CN 55 | S Wong | 260 [1] |
| Total | 1 290 [1] | ||
(b) General Ledger - Sales Returns Account
| Date | Details | Debit ($) |
|---|---|---|
| Jul 31 | Sales Returns Day Book | 1 290 [1] |
The total is posted to the debit side of the sales returns account in the general ledger. [1] Sales returns is a debit entry because it reduces revenue.
(c) Sales Ledger - Individual customer accounts
Each return is posted to the credit side of the customer's account in the sales ledger, reducing what they owe.
| Account | Date | Details | Credit ($) |
|---|---|---|---|
| K Sharma | Jul 4 | Sales returns | 280 [1] |
| Jul 22 | Sales returns | 180 [1] | |
| M Tan | Jul 9 | Sales returns | 150 [1] |
| R Patel | Jul 15 | Sales returns | 420 [1] |
| S Wong | Jul 28 | Sales returns | 260 [1] |
(d) Two effects on the financial statements
(e) Why a credit note is issued
A credit note is a document sent to the customer acknowledging that goods have been returned and authorising a reduction in the amount they owe. [1] It reduces the customer's balance in the sales ledger. [1] The credit note serves as the source document for recording the transaction in the sales returns day book. [1]
Answer Details
(a) Sales Returns Day Book - July 2025
The sales returns day book records goods returned by credit customers. Each entry is supported by a credit note issued by the business.
| Date | Credit Note No | Customer | Amount ($) |
|---|---|---|---|
| Jul 4 | CN 51 | K Sharma | 280 [1] |
| Jul 9 | CN 52 | M Tan | 150 [1] |
| Jul 15 | CN 53 | R Patel | 420 [1] |
| Jul 22 | CN 54 | K Sharma | 180 [1] |
| Jul 28 | CN 55 | S Wong | 260 [1] |
| Total | 1 290 [1] | ||
(b) General Ledger - Sales Returns Account
| Date | Details | Debit ($) |
|---|---|---|
| Jul 31 | Sales Returns Day Book | 1 290 [1] |
The total is posted to the debit side of the sales returns account in the general ledger. [1] Sales returns is a debit entry because it reduces revenue.
(c) Sales Ledger - Individual customer accounts
Each return is posted to the credit side of the customer's account in the sales ledger, reducing what they owe.
| Account | Date | Details | Credit ($) |
|---|---|---|---|
| K Sharma | Jul 4 | Sales returns | 280 [1] |
| Jul 22 | Sales returns | 180 [1] | |
| M Tan | Jul 9 | Sales returns | 150 [1] |
| R Patel | Jul 15 | Sales returns | 420 [1] |
| S Wong | Jul 28 | Sales returns | 260 [1] |
(d) Two effects on the financial statements
(e) Why a credit note is issued
A credit note is a document sent to the customer acknowledging that goods have been returned and authorising a reduction in the amount they owe. [1] It reduces the customer's balance in the sales ledger. [1] The credit note serves as the source document for recording the transaction in the sales returns day book. [1]
Question 2 Report
The following information was extracted from the books of Khan Trading for the month of October 2025.
| Item | $ |
|---|---|
| Trade receivables at 1 October | 12 400 |
| Credit sales for the month | 48 600 |
| Cash and cheques received from trade receivables | 45 200 |
| Discount allowed | 1 350 |
| Sales returns | 2 100 |
| Irrecoverable debts written off | 530 |
(a) Prepare the sales ledger control account for October 2025, balancing it at 31 October. [10]
(b) State three purposes of preparing a control account. [6]
(c) Explain the difference between the sales ledger and the sales ledger control account. [2]
(d) State where the closing balance would appear in the statement of financial position. [2]
(a) Sales Ledger Control Account - October 2025
The sales ledger control account (SLCA) is a summary account in the general ledger that provides the total balance of all individual debtor accounts. Items that increase what customers owe are debited; items that reduce what they owe are credited.
| Sales Ledger Control Account | |||
|---|---|---|---|
| Debit | Credit | ||
| Oct 1 Balance b/d | 12 400 [1] | Bank (cash and cheques received) | 45 200 [1] |
| Credit sales (Sales day book) | 48 600 [1] | Discount allowed | 1 350 [1] |
| Sales returns (Sales returns day book) | 2 100 [1] | ||
| Irrecoverable debts | 530 [1] | ||
| Oct 31 Balance c/d | 11 820 [1] | ||
| Total | 61 000 [1] | Total | 61 000 [1] |
| Nov 1 Balance b/d | 11 820 | ||
Closing balance calculation: $12 400 + $48 600 - $45 200 - $1 350 - $2 100 - $530 = $11 820 [1]
(b) Three purposes of a control account
(c) Difference between the sales ledger and the SLCA
The sales ledger contains individual accounts for each credit customer, showing the detailed transactions (sales, returns, receipts, discounts) for each debtor. [1]
The sales ledger control account is a single summary account in the general ledger that shows the total of all debtor balances combined. It is prepared from the totals of the books of prime entry, not from the individual accounts. [1]
(d) Where the closing balance appears
The closing debit balance of $11 820 would appear as a current asset in the statement of financial position, [1] classified as trade receivables. [1]
Answer Details
(a) Sales Ledger Control Account - October 2025
The sales ledger control account (SLCA) is a summary account in the general ledger that provides the total balance of all individual debtor accounts. Items that increase what customers owe are debited; items that reduce what they owe are credited.
| Sales Ledger Control Account | |||
|---|---|---|---|
| Debit | Credit | ||
| Oct 1 Balance b/d | 12 400 [1] | Bank (cash and cheques received) | 45 200 [1] |
| Credit sales (Sales day book) | 48 600 [1] | Discount allowed | 1 350 [1] |
| Sales returns (Sales returns day book) | 2 100 [1] | ||
| Irrecoverable debts | 530 [1] | ||
| Oct 31 Balance c/d | 11 820 [1] | ||
| Total | 61 000 [1] | Total | 61 000 [1] |
| Nov 1 Balance b/d | 11 820 | ||
Closing balance calculation: $12 400 + $48 600 - $45 200 - $1 350 - $2 100 - $530 = $11 820 [1]
(b) Three purposes of a control account
(c) Difference between the sales ledger and the SLCA
The sales ledger contains individual accounts for each credit customer, showing the detailed transactions (sales, returns, receipts, discounts) for each debtor. [1]
The sales ledger control account is a single summary account in the general ledger that shows the total of all debtor balances combined. It is prepared from the totals of the books of prime entry, not from the individual accounts. [1]
(d) Where the closing balance appears
The closing debit balance of $11 820 would appear as a current asset in the statement of financial position, [1] classified as trade receivables. [1]
Question 3 Report
Ada runs a business. On 31 December 2024, her cash book showed a debit balance of $5 120 in the bank column. The bank statement on the same date showed a credit balance of $5 180.
On comparing the cash book with the bank statement, the following differences were found.
| Item | Details | $ |
|---|---|---|
| 1 | Bank charges not recorded in the cash book | 60 |
| 2 | A direct debit for insurance not recorded in the cash book | 180 |
| 3 | A standing order for loan repayment not recorded in the cash book | 300 |
| 4 | A credit transfer from customer M. Okafor not recorded in the cash book | 420 |
| 5 | Interest received from the bank not recorded in the cash book | 80 |
| 6 | A cheque received from N. Patel was returned dishonoured. Not recorded in the cash book | 150 |
| 7 | An unpresented cheque paid to supplier R. Mensah | 680 |
| 8 | A deposit paid into the bank on 30 December not yet credited by the bank | 430 |
(a) Prepare the updated cash book showing the new balance. [10]
(b) Prepare a bank reconciliation statement starting with the balance per the bank statement. [6]
(c) Explain two reasons why the cash book balance and the bank statement balance may differ. [4]
(a) Updated cash book (bank column)
The cash book must be updated for items that have not yet been recorded in it. Items 1 through 6 affect the cash book. Items 7 and 8 are timing differences and appear only in the bank reconciliation statement.
| Dr (Receipts) | $ | |
|---|---|---|
| Balance b/d | 5 120 [1] | |
| Credit transfer - M. Okafor | 420 [1] | |
| Interest received | 80 [1] | |
| Total | 5 620 | |
| Cr (Payments) | $ | |
|---|---|---|
| Bank charges | 60 [1] | |
| Direct debit - insurance | 180 [1] | |
| Standing order - loan repayment | 300 [1] | |
| Dishonoured cheque - N. Patel | 150 [1] | |
| Balance c/d | 4 930 | |
| Total | 5 620 | |
Updated balance: $4,930 Dr [1]
The cash book has correct Dr and Cr sides, and the balance is correctly carried down. [1] [1]
The credit transfer and interest received increase the bank balance (Dr entries). Bank charges, direct debit, standing order, and the dishonoured cheque all reduce the bank balance (Cr entries). The dishonoured cheque reverses the original receipt because the cheque from N. Patel was returned unpaid by the bank.
(b) Bank reconciliation statement
| Bank Reconciliation Statement at 31 December 2024 | $ |
|---|---|
| Balance per bank statement (Cr) | 5 180 [1] |
| Less: Unpresented cheque - R. Mensah | (680) [1] |
| Add: Outstanding deposit | 430 [1] |
| Balance per updated cash book | 4 930 [1] |
The adjusted balance of $4,930 agrees with the updated cash book balance. [1]
Correct layout starting from the bank statement balance and reconciling to the cash book balance. [1]
The unpresented cheque is deducted because Ada has recorded the payment in her cash book, but the cheque has not yet been processed by the bank. The outstanding deposit is added because Ada has recorded the receipt in her cash book, but the bank has not yet credited the amount.
(c) Two reasons why the cash book and bank statement balances may differ
Reason 1: Timing differences occur when items have been recorded in the cash book but not yet processed by the bank. [1] For example, cheques issued to suppliers may not have been presented for payment yet (unpresented cheques), or deposits made shortly before the statement date may not have been credited by the bank (outstanding deposits). [1]
Reason 2: Items may appear on the bank statement before they are recorded in the cash book. [1] For example, bank charges, standing orders, direct debits, and credit transfers are processed by the bank automatically, and the business owner may not be aware of them until the bank statement arrives. [1]
Answer Details
(a) Updated cash book (bank column)
The cash book must be updated for items that have not yet been recorded in it. Items 1 through 6 affect the cash book. Items 7 and 8 are timing differences and appear only in the bank reconciliation statement.
| Dr (Receipts) | $ | |
|---|---|---|
| Balance b/d | 5 120 [1] | |
| Credit transfer - M. Okafor | 420 [1] | |
| Interest received | 80 [1] | |
| Total | 5 620 | |
| Cr (Payments) | $ | |
|---|---|---|
| Bank charges | 60 [1] | |
| Direct debit - insurance | 180 [1] | |
| Standing order - loan repayment | 300 [1] | |
| Dishonoured cheque - N. Patel | 150 [1] | |
| Balance c/d | 4 930 | |
| Total | 5 620 | |
Updated balance: $4,930 Dr [1]
The cash book has correct Dr and Cr sides, and the balance is correctly carried down. [1] [1]
The credit transfer and interest received increase the bank balance (Dr entries). Bank charges, direct debit, standing order, and the dishonoured cheque all reduce the bank balance (Cr entries). The dishonoured cheque reverses the original receipt because the cheque from N. Patel was returned unpaid by the bank.
(b) Bank reconciliation statement
| Bank Reconciliation Statement at 31 December 2024 | $ |
|---|---|
| Balance per bank statement (Cr) | 5 180 [1] |
| Less: Unpresented cheque - R. Mensah | (680) [1] |
| Add: Outstanding deposit | 430 [1] |
| Balance per updated cash book | 4 930 [1] |
The adjusted balance of $4,930 agrees with the updated cash book balance. [1]
Correct layout starting from the bank statement balance and reconciling to the cash book balance. [1]
The unpresented cheque is deducted because Ada has recorded the payment in her cash book, but the cheque has not yet been processed by the bank. The outstanding deposit is added because Ada has recorded the receipt in her cash book, but the bank has not yet credited the amount.
(c) Two reasons why the cash book and bank statement balances may differ
Reason 1: Timing differences occur when items have been recorded in the cash book but not yet processed by the bank. [1] For example, cheques issued to suppliers may not have been presented for payment yet (unpresented cheques), or deposits made shortly before the statement date may not have been credited by the bank (outstanding deposits). [1]
Reason 2: Items may appear on the bank statement before they are recorded in the cash book. [1] For example, bank charges, standing orders, direct debits, and credit transfers are processed by the bank automatically, and the business owner may not be aware of them until the bank statement arrives. [1]
Question 4 Report
A workshop uses loose tools in its operations. The tools are depreciated using the revaluation method.
| Item | $ |
|---|---|
| Tools valued at 1 January 2025 | 3 500 |
| Tools purchased during the year | 1 800 |
| Tools valued at 31 December 2025 | 3 200 |
(a) Calculate the depreciation charge for the year using the revaluation method. [4]
(b) Prepare the tools account for the year ended 31 December 2025. [6]
(c) Explain when the revaluation method is the most appropriate method of depreciation. State two reasons. [4]
(d) A machine costs $40 000 and has an estimated useful life of 8 years with a residual value of $4 000. Calculate the annual depreciation using:
(i) the straight-line method [3]
(ii) the reducing balance method at 20% (first year only) [3]
(a) Depreciation charge using the revaluation method
The revaluation method calculates depreciation by comparing the value of the assets at the start of the period (plus any additions) with the value at the end of the period.
| Opening value of tools (1 January 2025) | $3 500 [1] |
| Add: Tools purchased during the year | $1 800 [1] |
| Total value available | $5 300 |
| Less: Closing value of tools (31 December 2025) | ($3 200) [1] |
| Depreciation for the year | $2 100 [1] |
The $2 100 difference represents the cost of tools that were used up, lost, broken, or otherwise consumed during the year.
(b) Tools Account for the year ended 31 December 2025
| Tools Account | |||
|---|---|---|---|
| Debit | Credit | ||
| Jan 1 Balance b/d | 3 500 [1] | Dec 31 Income statement (depreciation) | 2 100 [1] |
| Bank (purchases) | 1 800 [1] | Dec 31 Balance c/d | 3 200 [1] |
| Total | 5 300 [1] | Total | 5 300 [1] |
The opening balance plus purchases on the debit side equals the closing balance plus depreciation on the credit side.
(c) When the revaluation method is appropriate
(d) Depreciation calculations for the machine
Cost = $40 000, Useful life = 8 years, Residual value = $4 000
(i) Straight-line method
Annual depreciation = (Cost - Residual value) / Useful life [1]
= ($40 000 - $4 000) / 8 [1]
= $36 000 / 8
= $4 500 per year [1]
The straight-line method charges an equal amount each year. The residual value is excluded because it represents the portion of cost the business expects to recover at the end of the asset's life.
(ii) Reducing balance method at 20% (first year only)
Depreciation = Net book value at start of year x Rate [1]
= $40 000 x 20% [1]
= $8 000 [1]
The reducing balance method applies the percentage to the remaining book value, so the charge is highest in year one and decreases each subsequent year. In the first year, the net book value equals the original cost.
Answer Details
(a) Depreciation charge using the revaluation method
The revaluation method calculates depreciation by comparing the value of the assets at the start of the period (plus any additions) with the value at the end of the period.
| Opening value of tools (1 January 2025) | $3 500 [1] |
| Add: Tools purchased during the year | $1 800 [1] |
| Total value available | $5 300 |
| Less: Closing value of tools (31 December 2025) | ($3 200) [1] |
| Depreciation for the year | $2 100 [1] |
The $2 100 difference represents the cost of tools that were used up, lost, broken, or otherwise consumed during the year.
(b) Tools Account for the year ended 31 December 2025
| Tools Account | |||
|---|---|---|---|
| Debit | Credit | ||
| Jan 1 Balance b/d | 3 500 [1] | Dec 31 Income statement (depreciation) | 2 100 [1] |
| Bank (purchases) | 1 800 [1] | Dec 31 Balance c/d | 3 200 [1] |
| Total | 5 300 [1] | Total | 5 300 [1] |
The opening balance plus purchases on the debit side equals the closing balance plus depreciation on the credit side.
(c) When the revaluation method is appropriate
(d) Depreciation calculations for the machine
Cost = $40 000, Useful life = 8 years, Residual value = $4 000
(i) Straight-line method
Annual depreciation = (Cost - Residual value) / Useful life [1]
= ($40 000 - $4 000) / 8 [1]
= $36 000 / 8
= $4 500 per year [1]
The straight-line method charges an equal amount each year. The residual value is excluded because it represents the portion of cost the business expects to recover at the end of the asset's life.
(ii) Reducing balance method at 20% (first year only)
Depreciation = Net book value at start of year x Rate [1]
= $40 000 x 20% [1]
= $8 000 [1]
The reducing balance method applies the percentage to the remaining book value, so the charge is highest in year one and decreases each subsequent year. In the first year, the net book value equals the original cost.
Question 5 Report
Hassan is a sole trader. On 1 January 2022 he purchased a delivery vehicle for $36 000. He depreciates the vehicle at 25% per annum using the reducing balance method. His financial year ends on 31 December.
(a) Complete the following table for the delivery vehicle.
| Year ended | Net book value at start $ | Depreciation charge $ | Net book value at end $ |
|---|---|---|---|
| 31 Dec 2022 | |||
| 31 Dec 2023 | |||
| 31 Dec 2024 |
[6]
(b) On 30 June 2025 Hassan sold the vehicle for $12 500. Calculate:
(i) the depreciation charge for the six months to 30 June 2025 [2]
(ii) the net book value at the date of disposal [2]
(iii) the profit or loss on disposal [2]
(c) Show the journal entry to record the disposal. [4]
(d) State two factors a business should consider when choosing a method of depreciation. [4]
(a) Depreciation table for the delivery vehicle (reducing balance method at 25%)
Under the reducing balance method, the depreciation charge each year is calculated as a fixed percentage of the net book value at the start of that year, not the original cost. This means the charge decreases each year.
| Year ended | Net book value at start ($) | Depreciation charge ($) | Net book value at end ($) |
|---|---|---|---|
| 31 Dec 2022 | 36 000 [1] | 25% x $36,000 = 9 000 | 27 000 [1] |
| 31 Dec 2023 | 27 000 | 25% x $27,000 = 6 750 [1] | 20 250 [1] |
| 31 Dec 2024 | 20 250 | 25% x $20,250 = 5 062.50 [1] | 15 187.50 [1] |
The depreciation charge decreases each year (from $9,000 to $6,750 to $5,062.50) because the reducing balance method applies the percentage to a progressively smaller net book value. This reflects the fact that many assets, particularly vehicles, lose more value in their earlier years.
(b) Disposal calculations
(i) Depreciation charge for the six months to 30 June 2025:
Since the vehicle was sold halfway through the year, depreciation is charged for only 6 months:
\( 25\% \times \$15\,187.50 \times \frac{6}{12} \) [1] \( = \$1\,898.44 \) [1]
(ii) Net book value at the date of disposal:
\( \text{NBV} = \$15\,187.50 - \$1\,898.44 = \$13\,289.06 \) [1] [1]
(iii) Profit or loss on disposal:
Sale proceeds: $12,500
Net book value at disposal: $13,289.06
\( \text{Loss on disposal} = \$13\,289.06 - \$12\,500 = \$789.06 \) [1] [1]
A loss arises because the sale proceeds are less than the carrying value of the asset. This loss is recorded as an expense in the income statement for the year.
(c) Journal entry to record the disposal
| Account | Debit ($) | Credit ($) |
|---|---|---|
| Bank / Cash | 12 500.00 [1] | |
| Provision for depreciation of vehicle | 22 710.94 | |
| Loss on disposal | 789.06 [1] | |
| Delivery vehicle at cost | 36 000.00 [1] |
Narration: Disposal of delivery vehicle originally costing $36,000, sold for $12,500. [1]
The accumulated depreciation ($9,000 + $6,750 + $5,062.50 + $1,898.44 = $22,710.94) is debited to remove it from the provision account. The vehicle at cost is credited to remove the asset from the books. The bank records the proceeds received. The difference (the loss) is debited as an expense.
(d) Two factors to consider when choosing a method of depreciation
Factor 1: The expected useful life of the asset and the pattern in which it loses value. [1] If the asset is expected to lose value more heavily in its early years (such as a motor vehicle), the reducing balance method is more appropriate. If the loss in value is spread evenly (such as office furniture), the straight-line method is better suited. [1]
Factor 2: The estimated residual (scrap) value at the end of the asset's useful life. [1] The straight-line method works well when there is a clear residual value, as the annual charge is simply (cost minus residual value) divided by the number of years. The reducing balance method naturally approaches but never reaches zero, which may better suit assets that always retain some value. [1]
Answer Details
(a) Depreciation table for the delivery vehicle (reducing balance method at 25%)
Under the reducing balance method, the depreciation charge each year is calculated as a fixed percentage of the net book value at the start of that year, not the original cost. This means the charge decreases each year.
| Year ended | Net book value at start ($) | Depreciation charge ($) | Net book value at end ($) |
|---|---|---|---|
| 31 Dec 2022 | 36 000 [1] | 25% x $36,000 = 9 000 | 27 000 [1] |
| 31 Dec 2023 | 27 000 | 25% x $27,000 = 6 750 [1] | 20 250 [1] |
| 31 Dec 2024 | 20 250 | 25% x $20,250 = 5 062.50 [1] | 15 187.50 [1] |
The depreciation charge decreases each year (from $9,000 to $6,750 to $5,062.50) because the reducing balance method applies the percentage to a progressively smaller net book value. This reflects the fact that many assets, particularly vehicles, lose more value in their earlier years.
(b) Disposal calculations
(i) Depreciation charge for the six months to 30 June 2025:
Since the vehicle was sold halfway through the year, depreciation is charged for only 6 months:
\( 25\% \times \$15\,187.50 \times \frac{6}{12} \) [1] \( = \$1\,898.44 \) [1]
(ii) Net book value at the date of disposal:
\( \text{NBV} = \$15\,187.50 - \$1\,898.44 = \$13\,289.06 \) [1] [1]
(iii) Profit or loss on disposal:
Sale proceeds: $12,500
Net book value at disposal: $13,289.06
\( \text{Loss on disposal} = \$13\,289.06 - \$12\,500 = \$789.06 \) [1] [1]
A loss arises because the sale proceeds are less than the carrying value of the asset. This loss is recorded as an expense in the income statement for the year.
(c) Journal entry to record the disposal
| Account | Debit ($) | Credit ($) |
|---|---|---|
| Bank / Cash | 12 500.00 [1] | |
| Provision for depreciation of vehicle | 22 710.94 | |
| Loss on disposal | 789.06 [1] | |
| Delivery vehicle at cost | 36 000.00 [1] |
Narration: Disposal of delivery vehicle originally costing $36,000, sold for $12,500. [1]
The accumulated depreciation ($9,000 + $6,750 + $5,062.50 + $1,898.44 = $22,710.94) is debited to remove it from the provision account. The vehicle at cost is credited to remove the asset from the books. The bank records the proceeds received. The difference (the loss) is debited as an expense.
(d) Two factors to consider when choosing a method of depreciation
Factor 1: The expected useful life of the asset and the pattern in which it loses value. [1] If the asset is expected to lose value more heavily in its early years (such as a motor vehicle), the reducing balance method is more appropriate. If the loss in value is spread evenly (such as office furniture), the straight-line method is better suited. [1]
Factor 2: The estimated residual (scrap) value at the end of the asset's useful life. [1] The straight-line method works well when there is a clear residual value, as the annual charge is simply (cost minus residual value) divided by the number of years. The reducing balance method naturally approaches but never reaches zero, which may better suit assets that always retain some value. [1]
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