Fixed Assets and Depreciation Accounting

1. From Inventory to Fixed Assets

Inventory is a current asset consumed within a short period after purchase; its cost is expensed in the same period. Fixed assets are long-lived resources used for several years to create value for the business (e.g., building, machine, land, furniture). Instead of expensing the full purchase cost immediately, the cost is capitalized and then allocated over the asset’s useful life as depreciation.

2. Tangible vs. Intangible Fixed Assets

Exam tip: Intangible assets are increasingly vital for modern businesses. A pharmaceutical firm may buy a technology from a research lab to produce a vaccine – that cost is capitalized, not expensed in the purchase year.

3. The Core Principle: Capitalization and Depreciation

The amount spent on a fixed asset (tangible or intangible) is not expensed in the period the cost is incurred. Instead, the value is spread over the asset’s estimated useful life. For example, if a machine can work for 10 years, the machine’s value is spread over those 10 years. The annual depreciation charge is simply:

$$\text{Annual Depreciation} = \frac{\text{Cost of Asset}}{\text{Useful Life (years)}}$$

If no residual value is specified, assume it is zero.

4. What This Module Covers

• Valuation of fixed assets – which costs are included in the initial recorded value (purchase price, installation, etc.).
• Depreciation methods – spreading the value over the asset’s life.
• Disposal accounting – entries when a fixed asset is sold or scrapped.

---

Key takeaways

• Fixed assets are long-lived; their cost is capitalized and depreciated over time.
• Tangible (land, building, machine) vs. intangible (patent, copyright, technology license) – both follow capitalization/depreciation.
• The cost of a fixed asset is not an expense in the purchase year; it is spread across its useful life.
• This module covers valuation, depreciation methodology, and accounting for sale or scrapping.

Types of Fixed Assets

Fixed assets are long-term resources a business owns and uses to generate revenue. They fall into two broad categories: tangible (physical form) and intangible (no physical presence). The core accounting treatment — how and when the cost is recognised as an expense — depends on the asset's nature and useful life.

Tangible Assets

Tangible assets can be touched and felt. Examples:

• Land, buildings, machines
• Natural resources (e.g., coal mines, oil and gas fields)

Depreciation

For most tangible assets (buildings, machines, vehicles) with a limited useful life, the cost is spread over that life. This systematic allocation is called depreciation. Land has an infinite life and is never depreciated. The cost of land remains on the balance sheet at historical cost indefinitely.

Depletion for Natural Resources

Natural resources (mines, oil fields) are consumed as they are extracted. The cost of acquiring or developing the resource is capitalised and then spread over the extracted units. This process is called depletion.

The depletion charge is usually based on output (units extracted) rather than time.

Worked example (coal mine)

• Total estimated coal reserve: 100 units
• Development cost capitalised: say ₹1,000 crore
• Year 1: extract 5 units → depletion charge = 5% of cost = ₹50 crore
• Year 2: extract 20 units → depletion charge = 20% of cost = ₹200 crore

Exam tip: Depletion follows the same logic as depreciation but uses units-of-production. Time‑based depletion is allowed but less common for natural resources.

---

Intangible Assets

Intangible assets have no physical form. Examples: patents, copyrights, trademarks, brands, and goodwill.

Amortisation

If an intangible has a definite useful life, its cost is spread over that life. This process is called amortisation (the intangible equivalent of depreciation).

Example (patent)

• Legal life: 20 years from filing.
• The company expects an improved product after 7 years → useful life = 7 years.
• The cost of acquiring the patent is amortised over 7 years, not 20.

Research & Development (R&D)

• In-house R&D (e.g., a company developing its own drug) is expensed immediately in the year incurred. Reason: no certainty of future economic benefit.
• Purchased patents (bought from another entity) can be capitalised and amortised.
• Current regulations generally do not allow capitalisation of in-house R&D.

Goodwill

Goodwill arises when one company buys another for a price above the fair value of the identifiable net assets. It captures the value of the acquired company's reputation, customer loyalty, brand, etc.

Worked example (Apollo Hospital buys another hospital)

• Seller's balance sheet asset value: ₹500 crore
• Buyer assesses goodwill: ₹300 crore
• Purchase price: ₹800 crore

Accounting entry in buyer's books

Goodwill is treated as an intangible asset with infinite life → not amortised.

Impairment

Instead of systematic amortisation, goodwill and other long-lived assets (including tangible) must be tested periodically for impairment — a permanent decline in value due to external factors.

• Example (Coca‑Cola brands) In 1993, Coca‑Cola bought Indian brands Limca, Thumbs Up, Gold Spot for $600 million. When the company stopped selling Gold Spot, the accountant had to reduce the value of that brand in the books (impairment).
• If the government imposed a heavy tax on soft drink producers affecting profitability, the brand could also suffer impairment.

Exam tip: Impairment is a write‑down, not a periodic allocation. It is recognised immediately as a loss. For intangible assets with infinite life (goodwill), impairment testing replaces amortisation.

---

Deferred Charges (Deferred Expenses)

Deferred charges are expenditures that yield benefits over several future periods. The cost is capitalised as an asset and then amortised over the expected benefit period.

Worked example (restructuring layoff)

• A software company reduces workforce by 50% due to AI.
• Additional severance paid above normal terminal benefits: ₹500 crore
• Benefit expected to spread over 5 years
• Treatment:
  • Year 1 expense: ₹100 crore
  • Balance ₹400 crore carried as asset "Deferred Charges"
  • Amortised over next 4 years at ₹100 crore per year

Another common example: major aircraft overhaul — capitalised and amortised over the period until the next overhaul.

---

Summary Table: Treatment of Fixed Asset Costs

Key takeaways

• Tangible assets with finite life → depreciation; land → none.
• Natural resources → depletion based on extraction.
• Intangible assets with finite life → amortisation; indefinite life (goodwill) → no amortisation, only impairment testing.
• In‑house R&D is expensed; purchased intangibles are capitalised.
• Deferred charges are capitalised and amortised over future periods.
• Impairment applies to all long‑lived assets when their value drops permanently.

Fixed Assets – Related Accounting Concepts

Fixed assets are initially recorded at their acquisition cost and that cost stays on the books until disposal. Two fundamental accounting concepts shape how fixed assets are treated: the cost concept and the materiality concept. Subsequent spending on the asset may be expensed or capitalized depending on whether it maintains or improves the asset.

Cost Concept

Under the cost concept, fixed assets are valued and accounted at their historical cost – the price paid to acquire them. Once recorded, that value does not change over the asset’s life. Depreciation is accumulated separately and deducted from the historical cost to show the net book value.

• Initial entry: Asset at cost.
• Subsequent maintenance and repairs are expensed – they keep the asset in working condition but do not increase its recorded value or extend its life beyond original estimates.
• Improvements that enhance functionality or extend useful life are capitalised (added to the asset’s cost) and then depreciated over the remaining life.

Materiality Concept

Firms apply the materiality concept to avoid capitalising trivial items. A threshold is set (e.g., ₹5,000 or ₹10,000, depending on firm size). Any fixed asset costing below this limit is immediately expensed rather than capitalised.

Repairs, Maintenance, and Betterments

The distinction between routine repairs and capital improvements can be subtle.

• Repairs and maintenance – spending to keep the asset in its current working condition (e.g., annual vehicle service, replacing a burst tyre). → Expensed.
• Betterment expenses – spending that improves functionality or extends the asset’s life (e.g., replacing a petrol engine with a gas engine to reduce fuel cost and increase vehicle life). → Capitalised.

The line is thin; judgment based on substance over form.

Asset Grouping and Classification

The accounting treatment of a replacement depends on how the asset is grouped in the chart of accounts.

• If an electrical fitting is part of the broader heading “Building”, replacing the fitting is a repairs and maintenance expense.
• If “Electrical Fittings” is a separate asset class, replacing the fitting is an addition to that fixed asset (capitalised).

Fair Value Accounting

The cost concept requires assets to stay at historical cost. However, International Financial Reporting Standards (IFRS) prescribe fair value accounting, where assets are periodically revalued and presented at fair value. In practice, accountants often continue to use cost and test for impairment. For land, companies may revalue if there is a large appreciation.

Worked Example – Land Revaluation

• Land purchased 30 years ago: ₹3 crore (cost)
• Current market value: ₹100 crore
• Revaluation entry:
  • Debit Land: ₹97 crore (increase)
  • Credit Revaluation Reserve (under Other Equity): ₹97 crore

Exam tip: Revaluation reserve is part of equity, not profit. A revaluation gain bypasses the income statement and goes directly to “Other Equity” in the balance sheet.

Key takeaways

• Fixed assets are recorded at cost and remain at cost; depreciation reduces book value.
• Materiality allows expensing low-value fixed assets to avoid unnecessary capitalisation.
• Repairs and maintenance are expensed; betterments that improve functionality or extend life are capitalised.
• The asset grouping decision (broad vs. separate class) determines whether a replacement is expense or capital addition.
• IFRS permits fair value, but practice often retains cost with impairment; land revaluation is common for significant appreciation.
• Revaluation gains go to a revaluation reserve (equity), not the income statement.

Determining the Cost of an Asset

The cost of a fixed asset is the foundation for its accounting value and subsequent depreciation. Intuitively, cost includes everything spent to acquire the asset and make it ready for its intended use — not just the purchase price. The general principle:

$\text{Cost} = \text{All expenses incurred until the asset is ready for its intended use}$

Components of Cost

Key Rule: Capitalisation Period

Only expenses incurred up to the point the asset is ready for its intended use are capitalised as part of cost.

• Interest paid after that point is expensed in the period incurred.
• Similarly, other post‑ready costs are expensed.

Special Case: Payment with Equity Shares or Bonds

When an asset is bought by issuing shares or bonds instead of cash, the cost is determined as:

Worked Example

• A seller quotes ₹60 crore for a high‑tech equipment.
• The buyer issues 1 crore equity shares (current market price: ₹58 per share) in exchange.
• The fair value of the shares is ₹58 crore (1 crore × ₹58). Therefore, the asset is recorded at ₹58 crore (the fair value of the shares).
• If the buyer were unlisted (no market price for shares), the seller’s quote ₹60 crore would be used as the asset cost.

Exam tip: Capitalising interest until the asset is ready is a common exam question. Remember: interest after readiness is expensed, not capitalised.

Key Takeaways

• Cost = all expenses incurred until the asset is ready for its intended use.
• Include: purchase price, taxes, transport, erection, commissioning, demolition, allocated overhead, and capitalised interest.
• Exclude: interest and other costs incurred after readiness.
• When paying with shares/bonds, use the fair value of the shares/bonds or the asset as a fallback.
• Self‑constructed assets are valued at their construction cost (materials, labour, overhead, interest).

Determining Cost in Basket Purchase

When multiple assets are bought together for a single lump-sum (basket) price, their costs must be allocated separately. Reason: each asset may have a different useful life and therefore a different depreciation rate. Without splitting, depreciation charges would be incorrect.

The allocation is based on the relative fair value of each asset at the time of purchase — typically using independent appraisals, quoted market prices, or seller's itemised prices.

$\text{Allocated cost}_i = \frac{\text{Fair value}_i}{\text{Total fair value}} \times \text{Total purchase price}$

Worked Example 1: Land & Building

• Total paid: ₹210 lakhs
• Appraised values: Land ₹80 lakhs, Building ₹160 lakhs → total ₹240 lakhs

Ratio of land to building = 80 : 160 = 1 : 2.

• Land cost = $\frac{1}{3} \times 210 = 70$ lakhs
• Building cost = $\frac{2}{3} \times 210 = 140$ lakhs

Worked Example 2: Computer & Printer

• Total paid: ₹90,000
• Quoted prices: Computer ₹80,000, Printer ₹20,000 → total ₹1,00,000

Relative fair values: Computer = 80%, Printer = 20%.

• Computer cost = $0.80 \times 90,\!000 = 72,\!000$
• Printer cost = $0.20 \times 90,\!000 = 18,\!000$

Exam tip: Always use fair values before the purchase discounts or negotiations. The discount is applied proportionally to each asset, not assigned solely to one.

Key takeaways

• Basket purchase allocation prevents misstating depreciation of assets with different useful lives.
• Use the ratio of each asset’s fair value to the total fair value to split the actual cost.
• Appraised or quoted values (not the lump sum) form the basis of the ratio.
• Works for any group of assets: property, equipment, bundled software, etc.

Depreciation and Amortization

Depreciation and amortization are the systematic expensing of the cost of a long-lived asset over its useful life. Intuition: When you buy a machine that will produce revenue for several years, you should not expense the entire cost in the purchase year; instead, spread the cost across the years the machine helps earn revenue. That spread is depreciation (for tangible assets) or amortization (for intangible assets).

Tangible assets (except land) have a definite life. Many intangible assets also have a definite life because contracts or laws limit their term – e.g., intellectual property rights typically last 20 years. When an asset has a definite life and is capitalised at purchase, its cost must be expensed over that life.

The Matching Concept

The accounting principle behind depreciation is the matching concept: all expenses related to earning revenue must be recorded in the same period as that revenue.

Illustrative example – two identical companies Consider two companies operating side by side, identical except for how they acquired a machine:

• Company A purchased a machine for ₹10,00,000. It has a 10‑year physical life.
• Company B leased the same machine for ₹1,00,000 per year.

Both earn revenue ₹6,00,000 in year 1 and incur operating expenses (excluding depreciation/lease rent) of ₹4,00,000.

Without depreciation:

This suggests Company A performed better – but in reality, both are identical because Company A must also bear the cost of the machine over time.

With depreciation (straight‑line = ₹1,00,000 per year):

Now profits are equal. Key insight: depreciation is an expense related to the revenue earned from using the asset, so it must be matched against that revenue.

Computing Depreciation: Key Concepts

To determine how much to depreciate each year, three factors matter:

1. Physical life – How long the asset can physically operate.
2. Service life – The period the business expects to use the asset. This may be shorter than physical life due to technological obsolescence or business plans. Example: a machine may last 10 years physically, but a new technology might make it obsolete in 6 years; the service life is 6 years.
3. Resale value (if significant) or salvage value (if negligible) – The amount expected to be received when the asset is sold at the end of its service life.

Depreciation per year (straight‑line method) The simplest and most common method:

$\text{Depreciation per year} = \frac{\text{Cost of asset} - \text{Resale (or salvage) value}}{\text{Service life (in years)}}$

Worked example

Machine cost ₹10,00,000; service life 6 years; resale value ₹1,00,000.

$\text{Depreciation per year} = \frac{10,00,000 - 1,00,000}{6} = \frac{9,00,000}{6} = 1,50,000$

Thus ₹1,50,000 is charged as depreciation each year for 6 years.

Exam tip: Always use service life (expected period of use) and resale/salvage value when computing depreciation, not physical life or gross cost. The straight‑line method gives equal annual charges.

Relationship of Ideas

Key takeaways

• Depreciation applies to tangible assets; amortization applies to intangible assets.
• The matching concept requires spreading the asset’s cost over the periods that benefit from its use.
• Service life (expected usage period) may be shorter than physical life due to obsolescence.
• Straight‑line depreciation: $\frac{\text{Cost} - \text{Salvage}}{\text{Service life}}$.
• Without depreciation, profits of asset‑owning companies are misleadingly high compared to leasing companies.

Depreciation Methods (Accelerated)

Straight‑line depreciation assumes constant benefit from the asset each period. When this assumption fails – e.g. productivity declines, or servicing costs rise with age – an accelerated method is used: higher depreciation in early years, tapering later. Two common accelerated methods are the Written Down Value (WDV) method (also called Declining Balance) and the Sum‑of‑the‑Years’ Digits (SYD) method.

Written Down Value (WDV) / Declining Balance Method

Depreciation is a fixed percentage of the asset’s net book value at the beginning of each year. Because the base shrinks annually, the depreciation charge declines.

$$\text{Depreciation}_t = \text{Net Book Value}_{t-1} \times r$$

where $r$ is the depreciation rate (e.g., 30% or double the straight‑line rate). Net book value is updated each year:

$$\text{NBV}_t = \text{NBV}_{t-1} - \text{Depreciation}_t$$

Example: Asset cost ₹10,00,000; residual value ₹1,00,000; depreciable base ₹9,00,000; life 6 years; WDV rate 30%.

Under WDV the NBV never reaches zero; depreciation continues as long as the asset is used. If a zero residual is desired, the method can be switched to straight‑line in a later year.

Double‑declining balance (DDB) is a WDV variant where $r = 2 \times \text{straight-line rate}$. For a 10‑year life the straight‑line rate is 10%, so the DDB rate is 20%.

Sum‑of‑the‑Years’ Digits (SYD) Method

SYD blends the declining pattern of WDV with the finite life of straight‑line. The depreciation rate changes each year using a fixed denominator and a declining numerator.

$$\text{Depreciation}_t = \frac{\text{N} - (t-1)}{\text{S}} \times \text{Depreciable Base}$$

• $N$ = asset life in years
• $t$ = year index (1,2,…,$N$)
• $S = \frac{N(N+1)}{2}$ = sum of the years’ digits (denominator)

For $N=5$: $S = 5 \times 6 / 2 = 15$ (same as $1+2+3+4+5$).

Example (asset cost ₹1,50,000; life 5 years; zero residual).

Compare with straight‑line (₹30,000/year). SYD loads more depreciation into early years.

Partial‑Year Depreciation Conventions

When an asset is acquired or disposed mid‑year, three common conventions are used:

Exam tip: The pro‑rata method is the simplest; the 180‑day rule and half‑year convention are common in practice for simplicity and comparability.

Multiple‑Shift Depreciation

When an asset is used more than one shift per day, physical wear increases. Industry practice adds 50% more depreciation per additional shift:

$$\text{Depreciation rate} = \text{Base rate} \times (1 + 0.5 \times (\text{shifts} - 1))$$

• 1 shift: $r$
• 2 shifts: $1.5r$
• 3 shifts: $2.0r$

Example: Base rate 10% → 2‑shift rate = 15%; 3‑shift rate = 20%.

Worked Comparison

Asset details: Cost ₹10,00,000; life 10 years; residual after 12 years of use = ₹50,000. Straight‑line rate = 10% p.a. (using the ₹10,00,000 cost base shown here, the annual charge is ₹1,00,000). Under double‑declining balance: WDV rate = 20% per year. After 12 years, compare NBV with sale proceeds to determine gain or loss on disposal. This module does not provide the final worked figures for the spreadsheet exercise.

Comparison of annual charges (illustrative first 3 years):

Accelerated methods front‑load depreciation, lower taxable income in early years, and reduce book value faster.

Key Takeaways

• WDV applies a constant % to declining NBV; depreciation never reaches zero naturally.
• SYD uses a decreasing fraction (numerator N, N‑1, … denominator $N(N+1)/2$) to produce a finite, declining pattern.
• Partial‑year rules (pro‑rata, 180‑day, half‑year) allocate the first/last year’s depreciation based on usage time.
• Multiple shifts increase depreciation rate by 50% per extra shift.
• Double‑declining balance uses $2 \times$ straight‑line rate and is a common WDV variant.
• Accelerated methods are justified when asset productivity declines or maintenance costs rise with age.

Disposal of Assets

When a fixed asset is sold, the accounting records must remove both the asset’s original cost and its accumulated depreciation from the books, and recognise any resulting gain or loss. The intuition: sale proceeds are compared to the asset’s net book value (carrying amount) at that date — any difference is a profit or loss on disposal.

Cost Concept and Accumulated Depreciation

Under the cost concept, an asset is carried at historical cost as long as it is owned. Depreciation is accumulated separately in a contra asset account called accumulated depreciation. This account carries a negative balance and is always shown alongside the parent asset; the net value (cost − accumulated depreciation) is used to compute total asset value.

Contra asset – an account that reduces the balance of a related asset account on the balance sheet.

Accounting Entries for Disposal

Three steps are needed when an asset is sold:

1. Reverse the asset’s original cost (credit the asset account).
2. Reverse the accumulated depreciation (debit the accumulated depreciation account).
3. Record the cash received (debit cash / bank).
4. Balance the entry — the difference is either a profit (credit) or loss (debit) on sale, recorded in the income statement.

Worked Example – Profit Scenario

• Cost of asset: ₹10,00,000
• Depreciation rate: 10% straight-line per year
• Life elapsed: 6 years
• Accumulated depreciation: ₹10,00,000 × 10% × 6 = ₹6,00,000
• Net book value at sale: ₹10,00,000 − ₹6,00,000 = ₹4,00,000
• Sale proceeds: ₹5,00,000 → Profit = ₹1,00,000

Journal entry:

Worked Example – Loss Scenario

Same asset, but sale proceeds = ₹2,50,000: Net book value still ₹4,00,000 → Loss = ₹1,50,000.

Journal entry:

Decision Logic

Exam tip: The accumulated depreciation is always debited for its full balance at the date of sale (the amount that had been accumulated up to that point). The machine account is credited for the original cost. The difference to balance the entry is the profit/loss.

Key Takeaways

• Disposal removes both the asset’s cost and its accumulated depreciation from the books.
• Profit = sale proceeds > net book value; loss = sale proceeds < net book value.
• The journal entry always involves: debit cash, debit accumulated depreciation, credit asset, and either debit loss or credit profit.
• Profit appears as income, loss as an expense in the income statement.
• The cost concept is maintained throughout the asset’s life; only at disposal is the historical cost reversed.

Exchange of Assets

When a company replaces an asset (e.g., an old drilling machine with a new one), it may exchange the old asset as part of the transaction. The accounting treatment depends critically on whether the exchanged assets are similar (perform the same function) or dissimilar (different functions).

Key distinction: Similar assets → no profit/loss recognized. Dissimilar assets → profit/loss is recognized on the old asset.

1. Similar Asset Exchange

Intuition: If you swap an old drilling machine for a new drilling machine, the economic substance is a continuation of the same asset class, not a sale. Recognizing a gain would be misleading because the company still uses the same type of asset. Therefore, the cost of the new asset is computed as the net book value of the old asset plus any cash paid – not the seller’s list price.

Accounting steps:

1. Reverse the old asset cost and accumulated depreciation.
2. Record the cash paid.
3. The balancing figure becomes the cost of the new asset.
4. No profit or loss appears on the income statement.

Worked example – Similar exchange:

• Old machine cost: ₹20 lakh
• Accumulated depreciation: ₹15 lakh
• Net book value (NBV): ₹5 lakh
• New machine list price: ₹32 lakh
• Seller’s offer: ₹25 lakh cash + old machine

Balancing figure: New machine cost = NBV (5) + cash paid (25) = ₹30 lakh. The list price (₹32 lakh) is irrelevant for accounting.

Reason: The seller implicitly gave credit of ₹7 lakh for the old machine (₹32 lakh – ₹25 lakh), but the NBV is ₹5 lakh; the extra ₹2 lakh is not recognized as gain because the assets are similar.

2. Dissimilar Asset Exchange

Intuition: When exchanging a drilling machine for a packing machine (different function), the old asset is effectively “sold” and a new, different asset is acquired. The company should recognise any gain or loss on disposal of the old asset.

Accounting steps:

1. Reverse old asset cost and depreciation.
2. Record the fair value of the new asset received (independent valuation, not seller’s price).
3. Record cash paid.
4. The balancing figure is gain or loss on sale of the old asset (included in revenue/profit).

Worked example – Dissimilar exchange:

• Old machine cost: ₹20 lakh
• Accumulated depreciation: ₹15 lakh → NBV = ₹5 lakh
• New packing machine fair value: ₹50 lakh (independent assessment)
• Seller agrees to take old machine + ₹42 lakh cash

Explanation of profit ₹3 lakh: Seller gave credit of ₹8 lakh for the old machine (₹50 lakh – ₹42 lakh). NBV was ₹5 lakh, so the excess ₹3 lakh is profit on disposal.

Exam tip: In a dissimilar exchange, always use fair value of the new asset (independent appraisal), not the seller’s price tag. If the seller’s price had been used, the gain might be misstated.

Decision flowchart

Comparing Similar vs. Dissimilar

Key takeaways

• Similar asset exchange defers gain/loss; new asset cost = NBV of old + cash.
• Dissimilar asset exchange requires gain/loss recognition; new asset recorded at fair value.
• Always base fair value on an independent assessment, not the seller’s list price.
• The accounting entries use the balancing figure method: reverse old, record cash and new asset, and the plug is either cost (similar) or gain/loss (dissimilar).
• Profit = credit given for old asset minus its NBV (as shown in the example: ₹8 lakh credit – ₹5 lakh NBV = ₹3 lakh gain).

Group Depreciation

Group depreciation is a simplified method for assets that are numerous, low-value, and homogeneous (e.g., computers, furniture). Instead of tracking each asset individually—its cost, accumulated depreciation, and gain/loss on disposal—the entire group is treated as a single asset. Depreciation is calculated on the total cost of the group, and disposals are accounted for without recognizing any profit or loss.

Intuition

When a company owns 80,000 desktops and laptops, maintaining a separate depreciation schedule for every machine is impractical. With group depreciation:

• All purchases are added to a single group asset account.
• Depreciation is applied to the total carrying value at the beginning of the year.
• When an asset is sold or exchanged, the group account is reduced by the original cost, and any shortfall or excess is debited/credited directly to accumulated depreciation (no gain/loss is recorded in the income statement).
• Profits and losses on disposals are effectively absorbed into the group's depreciation charge over time.

Worked Example: Software Company

Assume the company uses straight-line depreciation at 20% per year on the total cost of computers held at the beginning of the year. All purchases occur on the first day of the accounting year.

Note on Year 4: In group depreciation, the cost of the exchanged computers is not removed; instead the net cash paid is added. The accumulated depreciation is adjusted only through the annual charge, not by the disposal.

Variation: Cash Sale of a Single Computer

At some point, a computer that originally cost ₹50,000 is sold for ₹3,000. The company does not know when it was purchased or how much accumulated depreciation was recorded against that specific computer. Under group depreciation, the entry is:

• Debit Cash: ₹3,000
• Debit Accumulated depreciation: ₹47,000 (balancing figure)
• Credit Computers (cost): ₹50,000

The accumulated depreciation account absorbs the difference between the original cost and the cash received. No gain or loss is recognized; the net effect is that the group’s carrying amount decreases by ₹3,000 (cash) and the accumulated depreciation is reduced by ₹47,000.

Rationale for Group Depreciation

• Practicality: With thousands of identical, low-value assets, individual tracking is expensive and unnecessary.
• Cost vs. benefit: The added precision of individual asset records does not justify the effort.
• Software limitation: If accounting software cannot efficiently manage 80,000 separate asset accounts, group depreciation is a workable alternative. Even if technology permits, some accountants still prefer the simplicity of treating the entire pool as one asset.

Exam tip: Group depreciation is only appropriate when assets are similar, numerous, and individually low in value. The key difference from normal depreciation: disposals are not recorded with a gain/loss—any difference is absorbed into accumulated depreciation.

Key Takeaways

• Group depreciation treats a pool of similar assets as a single item; depreciation is applied to the total cost at the beginning of the year.
• On disposal (exchange or sale): The asset account is reduced by the original cost; any difference between cost and proceeds is debited/credited to accumulated depreciation, not to a gain/loss account.
• No profit/loss recognition on disposals; the effect is smoothed into the annual depreciation charge.
• The method avoids the administrative burden of tracking individual assets (e.g., 80,000 computers).
• If the company uses straight-line depreciation, the group rate (e.g., 20%) applies uniformly to the beginning-of-year cost.
• The group’s accumulated depreciation balance is adjusted only by annual charges and the balancing entry on disposals—it does not require separate disposal calculations per asset.

Natural Resources Accounting

Accounting for natural resources (e.g., mines, oil fields) differs from other fixed assets because the cost is allocated based on quantity extracted rather than time. The systematic allocation is called depletion – the natural-resource equivalent of depreciation.

Depletion Basis

When a company acquires a fully developed natural resource, the cost equals the purchase price. This cost is spread over the estimated recoverable quantity.

Worked example (mine)

• Purchase price: ₹100 crore
• Estimated quantity: 100 lakh tonnes
• Year 1 extraction: 10 lakh tonnes

Depletion for Year 1:

$$\frac{10 \text{ lakh tonnes}}{100 \text{ lakh tonnes}} \times ₹100 \text{ crore} = ₹10 \text{ crore}$$

Full Cost vs. Successful Effort Method

For exploration activities (e.g., oil & gas), two methods determine the capitalized cost of the resource. The choice affects both the balance sheet value and the depletion charge per unit.

Worked example (oil exploration)

• 10 drilling locations, ₹30 crore each → total cost ₹300 crore
• Oil found at 2 locations; 8 locations are dry (uneconomical)
• Estimated recoverable oil in the two fields: 10 crore barrels

Exam tip: The full cost method smooths earnings because unsuccessful exploration costs are spread over future production. The successful effort method is more conservative – it expenses dry holes immediately, reducing current profit.

Biological Assets

Assets such as teakwood farms or poultry may increase in value over time due to natural growth or aging. Under accounting rules:

• The increase in value is not recognized as profit.
• All costs incurred each year (e.g., tending, feeding) are capitalized as part of the asset’s carrying value until harvest or sale.

Key takeaways

• Natural resource cost is allocated via depletion, calculated as cost divided by estimated quantity.
• Full cost method capitalizes all exploration costs; depletion per unit is higher.
• Successful effort method capitalizes only successful well costs; unsuccessful costs are expensed immediately.
• Biological assets do not reflect appreciation in value; only capitalized costs are recorded.

Intangible Assets

Intangible assets lack physical substance (brands, patents, goodwill). The key accounting question: when is cost recognized as an asset (capitalized) vs. charged immediately as expense? Capitalized costs are then spread over the asset's useful life – this spreading is called amortization (the intangible version of depreciation).

Valuation: Capitalization vs. Expense

Exam tip: Internally developed intangibles are almost never capitalized. The only common exception is development costs under strict conditions (see R&D section below). Acquired intangibles are always capitalized.

Amortization vs. Impairment

• Amortization: systematic allocation of cost over the asset's useful life – only for intangibles with a finite life.
• Impairment: reduction in value when the asset's recoverable amount falls below book value – applied to all intangibles, including those with infinite life.

Specific Intangible Assets

Patent

• Capitalize the purchase price if acquired.
• Amortize over the shorter of legal life (20 years) or useful life (e.g., 6 years).
• Example: If a patent costs ₹10 crore and useful life is 6 years, annual amortization = ₹10 cr / 6 = ₹1.67 cr.

Brand

• If acquired from another company: capitalize at purchase price.
• If internally built (e.g., advertising spend to create brand awareness): expense year by year – never capitalize.
• Brand value has an infinite life → not amortized. Instead, test for impairment periodically.

Goodwill

• Arises only when one company buys another for more than the fair value of identifiable net assets.
• Carries infinite life → not amortized. Tested for impairment annually (or whenever indicators exist).

Leasehold Improvements

• Money spent to improve a leased asset (e.g., levelling land, constructing a building on leased land).
• Capitalize the total improvement cost (including preparation costs).
• Amortize over the shorter of: asset's useful life OR the lease period.

Worked example: Lease a vacant land for 20 years. Spend ₹50 crore on levelling and building (useful life 50 years). Since 20-year lease < 50-year asset life, amortize over 20 years. $\text{Annual amortization} = \frac{50 \text{ crore}}{20 \text{ years}} = 2.5 \text{ crore}$

Research & Development (R&D)

• Research cost (basic investigation, no commercial product yet): always expensed as incurred.
• Development cost (applying research to a plan for a new product): can be capitalized if, and only if, commercial viability is established – i.e., a strong market exists, technical feasibility proven.
• Example: Software development costs – capitalizable once technical and commercial viability is demonstrated.
• If development cost is very low, it may be simpler to expense it (materiality threshold).

Key takeaways

• Acquired intangibles → capitalize; internally developed → expense (except development with proven commercial viability).
• Amortize only finite-life intangibles (patent, leasehold improvements). Infinite-life assets (brand, goodwill) are impaired, not amortized.
• Amortization period = shorter of useful life or legal/lease life.
• Goodwill is only recognized on acquisition, not internally created.
• R&D: research expensed; development capitalized only if commercial viability is certain.

Depreciation Methods in Accounting

A fixed asset (machine) costing ₹10,00,000 with a 10‑year useful life is kept in service for 12 years (two extra years) and then sold for ₹50,000. Four depreciation methods illustrate how the same asset yields different expense patterns, book values, and profit or loss on disposal.

---

1. Straight‑Line Method (SLM)

Intuition: The asset’s cost is spread evenly over its useful life – the simplest and most common approach. Rate: 10% of original cost.

• Purchase entry: Machine A/c (asset) +₹10,00,000; Cash/Bank –₹10,00,000.

• Annual depreciation (years 1–10): $\text{Depreciation} = \text{Rs. }10,00,000 \times 10\% = \text{Rs. }1,00,000$

  Entry each year: Depreciation Expense +₹1,00,000; Accumulated Depreciation (contra‑asset) +₹1,00,000.

• Years 11–12: No depreciation – book value is already zero.

• Disposal (end of year 12):

  1. Reverse asset: Machine A/c –₹10,00,000.
  2. Reverse accumulated depreciation (total ₹10,00,000): Accumulated Depreciation +₹10,00,000.
  3. Cash received ₹50,000.

  Net effect: a profit on sale of fixed asset of ₹50,000 because the book value was zero.

Exam tip: Under SLM, if the asset is fully depreciated, any sale proceeds are entirely profit. No depreciation entry is made after the asset’s cost has been fully allocated.

---

2. Written Down Value Method (WDV / Declining Balance)

Intuition: Depreciation is a constant percentage of the net book value (NBV) at the start of each year. Larger charges in early years, smaller later – matching higher productivity/benefit in early life.

• Rate: 20% per annum.
• Formula: $\text{Depreciation}_t = \text{NBV}_{t-1} \times 20\%$

Worked example (first 4 years):

• Years 5–10: Continue the pattern. By the end of year 10, NBV = ₹1,07,374.

• Years 11–12: Depreciation continues because NBV > 0. Year 11: dep. = ₹21,475 (20% of ₹1,07,374); NBV = ₹85,899. Year 12: dep. = ₹17,180; NBV = ₹68,719.

• Disposal:

  1. Reverse machine A/c (₹10,00,000).
  2. Reverse total accumulated depreciation (sum of all 12 years = ₹9,31,281).
  3. Cash received ₹50,000.

  NBV at disposal = ₹68,719. Proceeds ₹50,000 ⇒ loss on sale of fixed asset of ₹18,719.

Key point: Under WDV the book value never reaches zero if the asset is kept indefinitely. A partial loss on disposal is common.

---

3. WDV with Switch to Straight‑Line (Combination Method)

Intuition: Start with WDV for the declining benefit pattern, but switch to SLM as soon as the straight‑line charge becomes larger than the WDV charge, ensuring the asset is fully depreciated by the end of its life.

Trigger: In year 5, NBV = ₹4,09,600. Remaining life = 6 years (years 5–10). Straight‑line annual charge = ₹4,09,600 / 6 = ₹68,267 (rounded). This is now larger than what WDV would give (₹81,920), so we switch.

• Years 1–4: Same as WDV.
• Years 5–10: Depreciation = ₹68,267 per year.
  • By year 10, NBV = 0.
• Years 11–12: No depreciation.
• Disposal: Book value zero ⇒ proceeds ₹50,000 all profit (same as SLM).

Result: Full depreciation over the 10‑year useful life, no residual value, profit on sale.

Exam tip: This method combines the tax advantage of WDV (higher early charges) with the neatness of SLM (zero residual value). The switch point is when SLM depreciation exceeds WDV depreciation.

---

4. Sum‑of‑the‑Years’ Digits Method (SYD)

Intuition: A decreasing fraction of the depreciable amount is allocated each year. The fraction uses the remaining life as numerator and the sum of the digits of the total life as denominator – produces a smooth, accelerated decline.

Formula: Sum of years’ digits for 10 years: $S = \frac{n(n+1)}{2} = \frac{10 \times 11}{2} = 55$

Depreciation for year t (where t = 1,2,…,10): $\text{Depreciation}_t = \frac{\text{Remaining life at start of year}}{55} \times \text{Cost}$

Worked example (first 3 years):

Total depreciation over 10 years = ₹10,00,000 (fractions sum to 1).

• Years 11–12: No depreciation (asset fully depreciated).
• Disposal: Same as SLM – book value zero, proceeds ₹50,000 are profit.

Exam tip: SYD is rarely used in practice but appears in examinations. It provides a declining charge pattern without the “never‑zero” problem of pure WDV.

---

Comparison of the Four Methods

Graphical pattern:

• SLM: horizontal line (constant).
• WDV: steeply declining curve.
• WDV→SLM: declining initially, then flattens into straight line from year 5.
• SYD: smoothly decreasing line, steeper than SLM but gentler than pure WDV.

---

Key Takeaways

• SLM spreads cost evenly – simplest for financial reporting; full depreciation by end of life; any sale proceeds = profit.
• WDV (declining balance) gives higher early expenses – often used for tax; book value never reaches zero, so disposal often yields a loss.
• Combination (WDV→SLM) starts with WDV and switches to SLM when SLM charge > WDV charge – ensures zero residual value while retaining accelerated early charges.
• SYD uses decreasing fractions – produces a smooth declining pattern without residual value; total depreciation equals cost.
• Accounting entries always involve:
  • Debit: Depreciation Expense (P&L)
  • Credit: Accumulated Depreciation (contra‑asset, reduces carrying amount)
  • On disposal: reverse asset and accumulated depreciation; record cash and any gain/loss.
• Only WDV results in a loss on sale in this example (₹18,719 loss); all other methods give a ₹50,000 profit because the asset is fully depreciated by the end of the 10‑year life.

Depreciation Methods: Comparison via Worked Example — Jupiter Industries

Intuition: Depreciation allocates the cost of a fixed asset over its useful life. The choice of method can drastically affect year-by-year profit because depreciation is an expense. When production volume fluctuates, the most matching method charges more depreciation in high-output years and less in low-output years, stabilising profit per unit.

The scenario

• Asset: Machine purchased for ₹60,00,000 (60 lakh).
• Life: 10 years, no salvage value.
• Expected total output: 3,000 units.
• Production schedule:

1. Unit-of-Production Method

Intuition: Depreciation is matched exactly to physical output. Each unit bears the same cost.

Depreciation per unit:

$$\text{Depreciation per unit} = \frac{\text{Cost} - \text{Salvage}}{\text{Total estimated units}} = \frac{60,00,000}{3,000} = ₹2,000$$

Annual depreciation: ₹2,000 × units that year.

Key property: Depreciation per unit is constant (₹2,000) across all years. Total depreciation = ₹60,00,000.

2. Straight-Line Method

Intuition: Equal expense every year, regardless of output. Simplicity is the main advantage.

Annual depreciation:

$$\frac{60,00,000}{10} = ₹6,00,000$$

Depreciation per unit then varies inversely with production:

Problem: Per-unit cost is high in low-output years and low in high-output years, distorting product cost.

3. Written Down Value (WDV / Diminishing Balance) Method

Intuition: Charges a larger expense early in the asset’s life. Reflects the idea that assets lose more value when new. Here the rate is 20% per annum.

Formula: Depreciation = Rate × Book value at beginning of year.

Shortcut: Multiply previous year’s depreciation by $(1 - \text{rate})$ to get next year’s depreciation.

$$\text{Dep}_2 = \text{Dep}_1 \times (1 - 0.20) = \text{Dep}_1 \times 0.80$$

Calculations:

Depreciation per unit:

Critical flaw: Total depreciation over 10 years is only ₹53,55,000 — the machine is never fully depreciated. It will never reach zero as long as the rate is applied to a diminishing balance.

4. Sum-of-the-Years’ Digits (SYD) Method

Intuition: Like WDV — front-loaded — but ensures the entire cost is depreciated over the asset’s life.

Sum of digits:

$$S = \frac{n(n+1)}{2} = \frac{10 \times 11}{2} = 55$$

Depreciation for year $t$:

$$\text{Dep}_t = (\text{Cost} - \text{Salvage}) \times \frac{\text{Remaining life at start of year}}{S}$$

Numerators: Year 1 → 10, Year 2 → 9, …, Year 10 → 1.

Total depreciation = ₹60,00,000 (fully depreciated by the end of year 10).

Which method is most appropriate?

The ideal method should produce a stable depreciation cost per unit so that product cost does not simply shift years. A measure of variability is the standard deviation of depreciation per unit.

Practical considerations

• Unit-of-production is best if output can be directly measured (e.g., machine hours, units produced). Often it is infeasible when the asset contributes to multiple products.
• Straight line is the most common accounting method because it is simple and produces moderate variation.
• WDV and SYD are often used for income-tax purposes to charge higher depreciation early, postponing tax outflows. The total tax paid over the asset’s life is the same; only the timing changes (creating a deferred tax liability, covered in the next module).

Exam tip: When production volumes rise over time, unit-of-production gives constant per-unit cost; straight line gives declining per-unit cost; WDV and SYD give even steeper declines (and can create losses in early low-output years). Standard deviation of per-unit depreciation is a quantitative way to rank methods.

Key takeaways

• Unit-of-production yields constant depreciation per unit — ideal when output is measurable.
• Straight line is simple but distorts per-unit cost when output varies.
• WDV never fully depreciates the asset; SYD ensures full write-off over life.
• Standard deviation of depreciation per unit ranks methods: lower is better for matching.
• In practice, straight line is used for financial reporting; accelerated methods (WDV, SYD) are common for tax planning (deferral).

Accounting for Disposal of Fixed Assets with Half-Year Conventions

Intuition: When a company sells a machine, it must remove both the machine’s cost and its accumulated depreciation from the books. The cash received is recorded, and any difference between the sale price and the book value (cost minus accumulated depreciation) is recognised as a profit or loss on disposal.

The challenge lies in calculating the correct accumulated depreciation up to the date of sale, especially when the accounting year (April–March) uses half-year conventions for assets bought or sold in the first vs. second half of the year.

Company Policy (Regal Paints)

• Accounting year: April 1 to March 31.
• Purchase rule:
  • If purchased before October 1 (first half of year) → full year depreciation in purchase year.
  • If purchased on or after October 1 (second half) → half-year depreciation (50%).
• Sale rule:
  • If sold before October 1 (first half) → half-year depreciation in sale year.
  • If sold on or after October 1 (second half) → full year depreciation in sale year.

Exam tip: The half-year rules apply to the year of purchase and year of sale only. For all full years of ownership, charge 100% depreciation.

Machine 1 – Straight-Line Method (10%)

Details:

• Cost: ₹5,00,000 (purchased January 1, 2016)
• Sold: May 31, 2024 for ₹1,50,000
• Depreciation method: Straight-line at 10% p.a.
• The machine was purchased in the second half of accounting year 2015–16 (after Oct 1) – only 50% depreciation in 2015–16.
• It was sold in the first half of accounting year 2024–25 (before Oct 1) – only 50% depreciation in 2024–25.

Depreciation Schedule (Selected Years)

Total accumulated depreciation up to sale: 8 full years (2016–17 to 2023–24) × ₹50,000 = ₹4,00,000

• purchase year ₹25,000 + sale year ₹25,000 = ₹4,50,000

Disposal Entry (May 31, 2024)

• Reverse machine cost: Dr. Accumulated Depreciation (remove) – but using accounting equation logic:
  • Machine account: –₹5,00,000 (reversal, so net zero)
  • Accumulated depreciation (contra asset): +₹4,50,000 (reversal of negative balance, so net zero)
• Cash received: +₹1,50,000
• Profit on sale: The three entries sum to ₹1,00,000 (₹1,50,000 cash – ₹50,000 book value).

Book value at sale: Cost ₹5,00,000 – Accumulated depreciation ₹4,50,000 = ₹50,000 Sale price ₹1,50,000 – Book value ₹50,000 = Profit ₹1,00,000.

Machine 2 – Written Down Value Method (20%)

Details:

• Cost: ₹6,00,000 (purchased May 1, 2018)
• Sold: November 10, 2023 for ₹3,00,000
• Depreciation method: Written down value (WDV) at 20%
• Purchased in first half of 2018–19 (before Oct 1) → full year depreciation in 2018–19.
• Sold in second half of 2023–24 (on or after Oct 1) → full year depreciation in 2023–24.

Depreciation Schedule (WDV)

Total accumulated depreciation: ₹1,20,000 + 96,000 + 76,800 + 61,440 + 49,152 + 39,321.60 = ₹4,42,713.60 (All depreciation charges sum to cost – book value: ₹6,00,000 – ₹1,57,286.40 = ₹4,42,713.60)

Disposal Entry (Nov 10, 2023)

• Reverse machine cost: –₹6,00,000
• Reverse accumulated depreciation: +₹4,42,713.60
• Cash received: +₹3,00,000
• Profit on sale: Sum of above = ₹1,42,713.60 (sale price ₹3,00,000 – book value ₹1,57,286.40 ≈ ₹1,42,713.60).

Exam tip: In WDV method, the shortcut for year‑on‑year depreciation: multiply previous year’s depreciation by $(1 - \text{rate})$. Here 20% rate → multiply by 0.80.

Accounting Equation Check (Both Machines)

The sum of all entries on the left side (assets) must equal the sum on the right side (liabilities + equity + revenues – expenses). In these examples, the profit on sale increases equity, and the net cash outflow (purchase minus sale) balances the equation.

Summary Comparisons

Half-Year Conventions: Decision Diagram

Key takeaways

• Disposal accounting removes the asset cost and its accumulated depreciation; any difference between sale price and book value is a profit or loss.
• Half-year conventions apply per company policy: full depreciation for assets bought/sold in the first half of the year; half for the second half.
• Straight-line gives a constant annual depreciation; WDV gives a declining charge. In WDV, the last year’s depreciation is based on the book value at the start of the sale year.
• Accumulated depreciation under SLM for Machine 1 totalled ₹4,50,000; under WDV for Machine 2 it was ₹4,42,713.60.
• Profit on sale = sale price – book value. Both examples yielded a profit (₹1,00,000 and ₹1,42,713.60).
• Always verify that the accounting equation (Assets = Liabilities + Equity) holds after all entries — the net change in cash, net removal of fixed asset, and profit must offset.

Exchange of Fixed Assets

When a business trades in an old fixed asset for a new one, the accounting treatment depends on whether the exchanged assets are similar (same kind, same use) or dissimilar (different kind/function). The core principle: gain/loss is recognized only when the assets are dissimilar; for similar assets, the gain is deferred by reducing the cost basis of the new asset.

Similar Assets

Intuition: If you swap one delivery truck for another delivery truck, you haven’t really “realized” a profit – you’re still in the same economic position. Accounting reflects this by not recognizing any gain or loss on the old asset. The new asset is recorded at the carrying amount of the old asset plus any cash paid.

Formal rule: $\text{New asset cost} = \text{Book value of old asset} + \text{Cash paid}$ where book value = original cost − accumulated depreciation.

Worked example (Jam Transport – first two buses):

• Old buses: cost ₹140 lakh, accumulated depreciation ₹100 lakh → book value = ₹40 lakh.
• Cash paid: ₹120 lakh.
• New buses recorded at: ₹120 + ₹40 = ₹160 lakh.
• No profit/loss recognized – the market value of new buses (₹180 lakh) is ignored.

Journal entry (abbreviated):

Exam tip: In similar‑asset exchanges, the new asset is never recorded at its fair market value. The deferred gain is effectively hidden inside the lower recorded cost.

Key takeaways – Similar exchange

• No gain or loss is recognized.
• New asset = book value of old + cash paid (or – cash received).
• Market value of the new asset is irrelevant.
• This applies when assets are of the same type and used in the same way (e.g., old bus → new bus).

---

Dissimilar Assets

Intuition: When you trade a bus for land, you’ve fundamentally changed the nature of your asset – you have “sold” the old asset and “bought” a different one. A gain or loss on the old asset must be recognized at the time of exchange.

Formal rule: The new asset is recorded at its fair value (if reliably measurable). The gain/loss on the old asset is the difference between the fair value of the new asset (plus any cash received) and the book value of the old asset (plus any cash given). If the fair value of the new asset cannot be assessed, then the gain/loss is first determined using the fair value of the old asset, and the new asset is the balancing figure.

Worked example (Jam Transport – second two buses, land exchanged):

Case 1: Fair value of new buses is known (₹180 lakh)

• Land: cost ₹20 lakh, market value ₹70 lakh (not used directly).
• Cash paid: ₹100 lakh.
• New buses recorded at fair value: ₹180 lakh.
• Gain on sale of land: ₹180 – ₹100 (cash) – ₹20 (cost of land) = ₹60 lakh.

Case 2: Fair value of new buses is not known Then use the fair value of the old asset (land’s market value = ₹70 lakh) to determine the gain, and the new asset is the balancing figure.

• Gain on sale of land: ₹70 – ₹20 = ₹50 lakh.
• New buses recorded at: ₹20 (land cost) + ₹100 (cash) + ₹50 (gain) = ₹170 lakh.

Decision logic:

Exam tip: In dissimilar exchanges, the profit recognized is not necessarily the difference between market value and book value of the old asset. When the new asset’s fair value is known, the profit becomes a balancing figure and may differ from the old asset’s gain (here ₹60 vs. ₹50). Prefer the new asset’s fair value whenever available.

Key takeaways – Dissimilar exchange

• Gain or loss is recognized (unlike similar exchange).
• New asset is recorded at fair value (if known); otherwise it is the balancing figure.
• Gain/loss is computed as: revenue (fair value received) – carrying amount given up.
• The method swaps the priority: known new‑asset fair value → profit is balancing; unknown new‑asset fair value → profit is known first.

---

Group Depreciation

Intuition: When a company has many identical low‑value assets (e.g., sewing machines), tracking each individual machine’s cost, depreciation, and disposal is impractical. Group (or composite) depreciation treats the entire pool as one asset. The book value of the group is simply the total original cost minus total accumulated depreciation. When an asset is sold or exchanged, no gain or loss is recorded – the cash received (or paid) directly adjusts the group asset account.

Formal rule:

• All assets in the group are depreciated as a single unit using the same rate (e.g., 20% straight‑line).
• Upon disposal/exchange:
  • Debit cash (or credit cash paid).
  • Debit/Credit the group asset account for the net amount (no separate accumulated depreciation reversal, no gain/loss account).
  • The new asset is recorded at the cash paid (or received) – the old asset’s cost and accumulated depreciation are not removed.

Worked example (Allen & Go – sewing machines):

Key point: On 1‑Apr‑2023, the 100 old machines are not removed from the group account. Their original cost and accumulated depreciation are unknown and irrelevant. The group asset simply increases by the cash paid (₹35 lakh). No gain/loss is recognized.

Journal entry for the exchange (group method):

Contrast with similar‑asset exchange (if NOT treated as a group): If the machines were tracked individually, the old 100 machines (from first or second purchase) would need to be identified, their book value removed, accumulated depreciation reversed, and the new machines recorded at book value of old plus cash – a much more complex process.

Exam tip: Group depreciation is popular in exam problems because it simplifies the disposal entry to just cash and the asset account. The key is remembering that neither the old machine’s cost nor its accumulated depreciation ever appears in the exchange journal entry.

Key takeaways – Group depreciation

• All assets in the group are treated as one.
• Disposal/exchange: only cash flows affect the group asset account; no gain/loss recognized.
• Depreciation is charged on the total cost of the group at the group rate.
• Individual asset identification (FIFO, specific cost) is irrelevant.
• This method is simpler than item‑by‑item accounting but defers gains/losses until the last asset in the group is retired.

Types of Assets

Fixed assets are classified into two broad categories:

• Tangible assets – physical items with a long useful life: land, buildings, machinery.
• Intangible assets – non-physical rights or economic benefits: goodwill, patents, copyrights.

---

Cost Measurement: Two Accounting Concepts

1. Historical cost concept – Fixed assets are recorded at their original cost. Cost includes all expenditures incurred to bring the asset into a usable condition (e.g., purchase price, installation, delivery).
2. Materiality concept – If an asset’s value is trivial, it is expensed immediately in the year of acquisition rather than capitalised and depreciated.

Exam tip: The cost base for depreciation is the historical cost (not replacement cost). The materiality principle allows expensing low-value items – watch for thresholds in exam problems.

Key takeaways

• Tangible vs. intangible classification is fundamental.
• Historical cost = total cost to get the asset ready for use.
• Materiality lets you expense insignificant assets immediately.

---

Depreciation Methods

Straight-Line Method (SLM)

The most widely used method. Depreciation expense is constant each year.

$\text{Depreciation} = \frac{\text{Asset Cost} - \text{Salvage Value}}{\text{Service Life}}$

• Simple to apply.
• Book value declines linearly to salvage.

Written-Down Value Method (WDV or Declining Balance)

Depreciation is charged on the book value (cost minus accumulated depreciation) at a fixed rate. Consequently:

• High depreciation in early years → declines over time.
• The asset is never fully written down to zero unless salvage is considered.

Sum-of-the-Years’-Digits Method (SYD)

A variation of the accelerated (written‑down value) approach. Uses a formula to allocate depreciation based on the sum of the years’ digits.

$\text{Sum of years} = \frac{n(n+1)}{2}$

Depreciation for year $t$: $\text{Depreciation}_t = \frac{\text{Remaining life}}{\text{Sum of years}} \times (\text{Cost} - \text{Salvage})$

• The sum of all annual depreciation rates equals 100% (i.e., the depreciable base is fully allocated over the asset’s life).

Key takeaways

• SLM: constant expense; WDV and SYD: accelerated (higher early expense).
• SYD is a formula‑based accelerator – total depreciation = 100% of depreciable base.
• Choice of method affects reported profit and tax timing.

---

Disposal and Exchange of Fixed Assets

Sale of an Asset

When a fixed asset is sold, profit or loss on sale is recognised:

$\text{Gain/Loss} = \text{Sale Proceeds} - \text{Net Book Value at date of sale}$

• Net book value = original cost minus accumulated depreciation.
• Recognised in the profit and loss account.

Exchange of an Asset

When an old asset is traded in for a new one, accounting treatment depends on whether the assets are of the same kind or different kind:

• Same type (e.g., old machine for new similar machine) → no profit/loss; book value of old asset becomes part of the cost of the new asset.
• Different type (e.g., vehicle for building) → profit/loss is recognised immediately.

Key takeaways

• Sale: always recognise gain/loss (sell price vs. net book value).
• Exchange: “like‑for‑like” defers gain/loss; “different” recognises it.
• Understand the reasoning – it prevents profit manipulation when simply replacing an asset.

---

Group Accounting for Similar Assets

When a business holds a large number of similar assets (e.g., identical delivery vans), it may treat them as a single group rather than tracking each item individually.

• Depreciation is computed for the whole group (using an average life and cost).
• No individual accumulated depreciation is maintained.
• On replacement or sale of a asset within the group:
  • The accounting entries differ from individual asset disposal because there is no separate accumulated depreciation for that item.
  • Typically, the cost of the replaced asset is removed from the group, and any difference is taken through the profit and loss account (according to the group policy).

Exam tip: Group accounting is an exception – only allowed when assets are homogeneous. Most exam problems require individual asset accounting unless stated otherwise.

Key takeaways

• Group method simplifies record‑keeping for many identical assets.
• No individual depreciation tracking – depreciation is charged to the group.
• Disposal entries are modified because accumulated depreciation is not itemised.

---

Natural Resources and Intangible Assets

• Natural resources (e.g., oil reserves, mineral deposits) are accounted for using depletion – analogous to depreciation but based on units extracted.
• Intangible assets (e.g., patents, copyrights, goodwill) are amortised over their estimated useful life.

The same principle of systematic cost allocation applies, with distinct terminology for depletion and amortisation.

Key takeaways

• Depletion = depreciation for natural resources.
• Amortisation = depreciation for intangible assets.
• The acccrual concept remains: match cost with benefits over time.