Depreciation methods—declining balance definition In the declining balance method of depreciation, which statement is correct?

Difficulty: Easy

Correct Answer: Annual depreciation equals a fixed percentage of the property value at the beginning of each year.

Explanation:


Introduction / Context:
Depreciation allocates asset cost to accounting periods. In capital-intensive chemical plants, the chosen method affects taxable income, cash flows, and economic indicators like NPV and payback. Understanding the mechanics of declining balance is fundamental.


Given Data / Assumptions:

  • Declining balance (e.g., double-declining) uses a constant rate applied to book value at the start of each year.
  • Salvage value may cap depreciation in the final year.
  • Straight line is the contrasting linear method.


Concept / Approach:
Declining balance accelerates depreciation: higher charges early, lower later. The formula is simple: Depreciation in year n = Rate * Book value at start of year n. Book value reduces each year, so charges decline, unlike straight line where they are equal each year.


Step-by-Step Solution:

Define rate r (e.g., 2 * straight-line rate).Compute year-n charge: Dn = r * BVn-1.Observe decreasing sequence as BV shrinks annually.Conclude that a fixed percentage is applied to beginning-of-year value.


Verification / Alternative check:
Compare with straight line: equal charges each year. Only declining balance uses a fixed percentage of opening book value.


Why Other Options Are Wrong:

  • Linear decrease and equal annual charges describe straight line, not declining balance.
  • “None” is false because option (c) is correct.


Common Pitfalls:
Forgetting to switch to straight line late in life to fully utilize salvage constraints in some tax regimes.


Final Answer:
Annual depreciation equals a fixed percentage of the property value at the beginning of each year.

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