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Q3. Modified problem 8.20 from page 468 of the textbook, which now reads: \"Cons

ID: 2555421 • Letter: Q

Question

Q3. Modified problem 8.20 from page 468 of the textbook, which now reads: "Consider the following data on an asset: Cost of asset, P Useful life, N Salvage value, S $118,000 5 years $20,000 Compute the annual depreciation allowances and the resulting book values, using (a) The Straight-Line (SL) depreciation method, (b) Sum-Of-the-Years' Digits (SOYD) method, (c) Declining Balance (DB) method (with switching to SL if required), and (d) If the salvage value has changed to $8,000, Double Declining Balance (DDB) method (with switching to SL if required)."

Explanation / Answer

1.Depreciation Under Stright Line Method

Depreciation         = ( Cost of the Asset – Salvage Value )/Usefull Life

                             = ( $ 118000 - $ 20000 ) /5 Years

                             = $ 19600 per year

Year

Opening Value

Depreciation

Book Value

1

$ 118000

$ 19,600

98400

2

98400

$ 19,600

78800

3

78800

$ 19,600

59200

4

59200

$ 19,600

39600

5

39600

$ 19,600

20000

2.Depreciation Under Sum of years digit method

Depreciation Year 1= $ 98000 x 5/15 = $ 32667

Depreciation Year 2= $ 98000 x 4/15 = $ 26133

Depreciation Year 3= $ 98000 x 3/15 = $ 19600

Depreciation Year 4= $ 98000 x 2/15 = $ 13067

Depreciation Year 5= $ 98000 x 1/15 = $ 6533

Year

Opening Value

Depreciation

Book Value

1

$ 118000

$ 32667

85333

2

85333

26133

59200

3

59200

19600

39600

4

39600

13067

26533

5

26533

6533

20000

3.Depreciation Under Double Declining Balance

Year

Book Value Begining

Depreciation = 2 x SL Depreciation Rate x Book Value Begining

Book Value

1

118000

47200

70800

2

70800

28320

42480

3

42480

16992

25488

4

25488

5488

20000

***Stright Line Depreciation Rate = 1/5 = 20%

4.Depreciation Under Double Declining Balance if salvage value changed to $8,000

Year

Book Value Begining

Depreciation = 2 x SL Depreciation Rate x Book Value Begining

Book Value

1

118000

47200

70800

2

70800

28320

42480

3

42480

16992

25488

4

25488

10195

15293

5

15293

6117

9176

***Stright Line Depreciation Rate = 1/5 = 20%

Year

Opening Value

Depreciation

Book Value

1

$ 118000

$ 19,600

98400

2

98400

$ 19,600

78800

3

78800

$ 19,600

59200

4

59200

$ 19,600

39600

5

39600

$ 19,600

20000