Depreciation Methods and Calculations

Jul 29, 2024

Depreciation Methods and Concepts

Overview

  • Types of Depreciation Methods:
    • Straight Line
    • Declining Balance
    • Double Declining Balance
    • Units of Production

Importance of Book Depreciation Methods

  • Tax depreciation methods are based on book depreciation methods.
  • Used in external reporting by companies.
  • Some older equipment and specific jurisdictions use these methods for tax depreciation.

Key Terms

  • Depreciation Rate (d or α): Percentage or fraction of the first cost removed by depreciation each year.
    • Straight Line: Constant amount every year.
    • Other Methods: Rate changes.
  • Depreciation Charge (D): Actual dollar amount subtracted from gross income.
  • Book Value: Cost basis minus all depreciation charges to date.
    • Reflects undepreciated value of an asset.
    • May differ from Market Value (actual sale value).

Straight Line Depreciation

  • Book value declines in a constant manner to the salvage value over the depreciable life.
  • Depreciation Rate:
    • d = 1 / N
  • Depreciation Amount:
    • (Initial Investment - Salvage Value) / Number of Years
  • Book Value Formula: Initial investment minus cumulative depreciation.

Example

  • Argon Gas Processor:

    • Initial cost: $20,000
    • Salvage value: $5,000
    • Useful life: 5 years
  • Depreciation Rate: d = 1 / 5 = 0.20

  • Annual Depreciation Charge: $3,000

  • Book Value at Year 3:

    • Initial Investment - (Years x Depreciation Charge) = $20,000 - 3 x $3,000 = $11,000

Declining Balance Depreciation

  • Accelerated depreciation method.
  • Takes larger charges earlier in an asset's life.
  • Benefits: Lowers taxable income, minimizing taxes, higher net present value.
  • Rates:
    • Straight Line Rate: 1 / N
    • Double Declining Rate: 2 / N
    • 150% Declining Balance Rate: 1.5 / N

Example

  • Equipment: $180,000 initial cost, $30,000 salvage, 12-year life
  • 150% Declining Balance Rate: 0.125
    • Book Value at Year 5: $92,324
  • Double Declining Balance Rate: 0.167
    • Book Value at Year 5: $72,193

Units of Production Depreciation

  • Based on actual use or output of the asset.
  • Particularly useful for equipment where wear and tear correlates with use instead of time.

Summary of Depreciation Charges and Formulas

  • Straight Line Depreciation: Constant yearly deduction.
  • Declining Balance Methods: Larger deductions early on.
  • When deciding on a method, consider the impact on taxable income and the financial goals of the company or project.

Case Studies

  1. Corn Husking Machine:
  • Cost: $10,000
  • Salvage value: $778
  • Useful life: 5 years
  • Depreciation Rate: 0.40
  • Yearly calculations of book value and depreciation charges confirm concepts discussed.
  1. Equipment in Dubai: Illustrating differences between 150% and double declining balance methods.