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1. Consider the depreciation of a $5,000 asset with $0 salvage value using both

ID: 2761348 • Letter: 1

Question

1. Consider the depreciation of a $5,000 asset with $0 salvage value using both the Straight Line and SOYD depreciation methods. Assume a 5-year depreciable life. Develop the complete depreciation schedules for the asset showing year-by-year depreciation charges and book values. What is the total present worth of the lifetime depreciation charges for each method? Use an interest rate of 8% per year.

be sure to include complete depreciation schedules showing year-by-year depreciation amounts and book values

Explanation / Answer

Depreciation Schedule under Straight line Method

Depreciation Expense = 5000-0/5 = $1000

Present Worth under straight line method = 4000/(1+0.08)^5 = $2722.33

Depreciation Schedule under SOYD

SYD = n(n+1)/2 = 5(5+1)/2 = 15

Present worth under SYOD = 5000/(1+0.08)^5 = $3402.92

Year Book Value Accumulated Depreciaition 1 5000 0 2 (5000-1000)=$4000 1000 3 (4000-1000) = $3000 1000 4 (3000-1000) = $2000 1000 5 (1000 -1000) = 0 1000