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Units of Production Method

  • Definition: A depreciation method used when the best measure of an asset's usage is based on output rather than the passage of time.

  • When to Use: It is suitable when the asset's output varies over different periods.

    • Example: Deprecating machinery or vehicles (e.g., a car) based on hours of use rather than calendar time.

  • Calculation Formula:


    • extDepreciationRate=CostResidual ValueEstimated Units of Outputext{Depreciation Rate} = \frac{\text{Cost} - \text{Residual Value}}{\text{Estimated Units of Output}}

    • Multiply the depreciation rate by the number of units produced in a given year to find the annual depreciation expense.

  • Variation of Calculation: If considering kilometers driven (for vehicles), the number of kilometers driven in each year will be used instead of units produced.

  • Annual Expense Impact: The depreciation expense may fluctuate each year based on actual usage of the asset, leading to different depreciation amounts.

Straight Line Method

  • Definition: A time-based depreciation method that assumes benefits and revenue recognition occur evenly over an asset's useful life.

  • Calculation Formula:


    • Annual Depreciation=CostEstimated Residual ValueEstimated Useful Life in Years\text{Annual Depreciation} = \frac{\text{Cost} - \text{Estimated Residual Value}}{\text{Estimated Useful Life in Years}}

  • Annual Expense Impact: The annual depreciation expense is constant each year during the asset's useful life, resulting in a straight-line appearance on financial statements.

Double Declining Balance (DDB) Method

  • Definition: An accelerated depreciation method that results in higher depreciation expenses in earlier years compared to later years.

  • Also Known As: Double Diminishing Balance

  • Calculation Formula:


    • DDB Depreciation Expense=Net Book Value×(2N)\text{DDB Depreciation Expense} = \text{Net Book Value} \times \left(\frac{2}{N}\right)

    • Where N = estimated useful life in years.

  • Net Book Value: Defined as
    Cost of the AssetAccumulated Depreciation\text{Cost of the Asset} - \text{Accumulated Depreciation}

  • Alternative Calculation: Another way to derive DDB is to simply take the straight-line rate and double it.

  • Best Use Cases: Primarily appropriate for technology assets (e.g., computers) which quickly become obsolete.

    • Rationale: Higher depreciation in the early years aligns better with the rapid decline in productivity and technological relevance.

Comparison of Depreciation Methods

  • Units of Production: Depreciation expense fluctuates based on usage; higher use leads to higher expenses.

  • Straight Line: Fixed annual expense; provides consistency.

  • DDB: Higher initial expense decreasing over time; mirrors asset obsolescence for certain types of assets more accurately.

Practical Exercise on Depreciation

  • Exercise Example: Calculating depreciation using straight line, units of production, and double diminishing balance for given asset details.

  • Year 1 Calculations:

    • Straight Line:

    • Cost: $25,000,000

    • Residual Value: $5,000,000

    • Useful Life: 5 years


    • Depreciation Expense=25,000,0005,000,0005=4,000,000\text{Depreciation Expense} = \frac{25,000,000 - 5,000,000}{5} = 4,000,000

    • Units of Production:

    • Useful Life in Output: 5,000,000 kilometers

    • Year 1 Output: 750,000 kilometers

    • Depreciation per unit:
      20,000,0005,000,000=4\frac{20,000,000}{5,000,000} = 4

    • Year 1 Expense:
      4×750,000=3,000,0004 \times 750,000 = 3,000,000

    • Double Declining Balance:

    • Year 1 Net Book Value: $25,000,000

    • Useful Life: 5 years


    • 10,000,000=25,000,000×2510,000,000 = 25,000,000 \times \frac{2}{5}

Cost of Goods Sold and Inventory Calculations

  • FIFO (First In, First Out): Assumes the earliest items purchased are sold first.

    • Example Calculation: Summarizing the effect on inventory and COGS when items are sold in sequential order of their purchase.

  • Weighted Average: Calculates average cost of all items in inventory regardless of order of purchase.

    • Example Calculation: Finding average cost per inventory unit considering total cost and total units at sale time.

Journal Entries for Inventory Transactions

  • Sale of Goods Example: Adjusting entries for sales transactions based on calculating revenue from sold goods, reflecting revenues and cost impact on inventory.

    • Entry Components: Cash received, revenue recognized, and adjustment of inventory to reflect sold items.

Bank Reconciliations

  • Definition: The process of matching the cash balance on the company’s books to the cash balance reported by the bank.

  • Book Side Adjustments:

    • Adding collected receivables or interest earnings

    • Subtracting service charges or non-sufficient funds (NSF) checks.

  • Bank Side Adjustments:

    • Adding outstanding deposits not yet processed by the bank

    • Subtracting outstanding checks not yet cleared.

  • Reconciliation Objective: Ensure both sides match at the end of the reconciliation process to confirm accuracy.

  • Journal Entries Involved: Necessary entries to adjust the cash account based on bank statement discrepancies, including recording interest revenue or service charges as appropriate.

Final Notes

  • Preparation for Exams: Focus on mastering key formulas, understanding reconciliation processes, and practicing journal entries.

  • Practice Problems: Utilize exercises provided in the syllabus to solidify knowledge of depreciation methods, inventory accounting, and bank reconciliation techniques.