Question

Freedom Corporation acquired a fixed asset for $120,000. Its estimated life at time of purchase was 4 years, with no estimated salvage value. Assume a discount rate of 7% and an income tax rate of 40%. (Use Exhibit 12.4, Appendix C, TABLE 1 and Appendix C, TABLE 2.)

Required: 1. What is the incremental present value of the tax benefits resulting from calculating depreciation using the sum-of-the-years’-digits (SYD) method rather than the straight-line (SLN) method on this asset? Use the SYD and SLN functions in Excel to calculate depreciation charges.

2. What is the incremental present value of the tax benefits resulting from calculating depreciation using the double-declining-balance (DDB) method rather than the straight-line (SLN) method on this asset? Use the SLN and DDB functions in Excel to calculate depreciation charges.

Freedom Corporation acquired a fixed asset for $120,000. Its estimated life at time of purchase was 4 years, with no estimateRequired 1 Required 2 Required 3 What is the incremental present value of the tax benefits resulting from calculating depreciRequired 1 Required 2 Required 3 What is the incremental present value of the tax benefits resulting from using MACRS rather

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Answer #1

Part 1

Depreciation method

Difference

Year

SYD

SL

Amount

Tax effect

PV Factor @ 11%

PV of Tax Effect

1

48000

30000

18000

7200

0.9346

6729

2

36000

30000

6000

2400

0.8734

2096

3

24000

30000

(6000)

-2400

0.8163

-1959

4

12000

30000

(18000)

-7200

0.7629

-5493

$1373

SYD

Year 1 = 120000*4/10 = 48000

Year 2 = 120000*3/10 = 36000

Year 3 = 120000*2/10 = 24000

Year 4 = 120000*1/10 = 12000

SL

Depreciation = 120000/4 = 30000

Part 2

Depreciation method

Difference

Year

Double declining method

SL

Amount

Tax effect

PV Factor @ 11%

PV of Tax Effect

1

60000

30000

30000

12000

0.9346

11215

2

30000

30000

0

0

0.8734

0

3

15000

30000

(15000)

-6000

0.8163

-4898

4

15000

30000

(15000)

-6000

0.7629

-4577

$1740

Double declining method

Deprecation rate = ¼*2 = 50%

Year 1 =120000*50% = 60000

Year 2 = 60000*50% = 30000

Year 3 = 30000*50% = 15000

Year 4 = 15000

SL

Depreciation = 120000/4 = 30000

Part 3

Depreciation method

Difference

Year

MACRS

SL

Amount

Tax effect

PV Factor @ 11%

PV of Tax Effect

1

39996

30000

9996

3998

0.9346

3737

2

53340

30000

23340

9336

0.8734

8154

3

17772

30000

-12228

-4891

0.8163

-3993

4

8892

30000

-21108

-8443

0.7629

-6441

$1457

MACRS

Year 1 =120000*33.33% = 39996

Year 2 = 120000*44.45% = 53340

Year 3 = 120000*14.81% = 17772

Year 4 = 120000*7.41% = 8892

SL

Depreciation = 120000/4 = 30000

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