Cost of new asset | $ 180,000.00 | |||||
Estimated life of asset, in years | 4 | |||||
Discount Rate | 10% | |||||
Tax rate | 40% | |||||
Estimated salvage value | 0 | |||||
a) The incremental PV of using SYD depreciation rather than SL depreciation, at a discount rate of 10% | ||||||
Depreciation Method | ||||||
Year | SYD | SLN | Difference | Tax effect = 40% x differnce | PV @ 10% | Present Value |
1 | $72,000.00 | $45,000.00 | $ 27,000.00 | $ 10,800.00 | 0.909 | $ 9,817.20 |
2 | $54,000.00 | $45,000.00 | $ 9,000.00 | $ 3,600.00 | 0.826 | $ 2,973.60 |
3 | $36,000.00 | $45,000.00 | $ (9,000.00) | $ (3,600.00) | 0.751 | $ (2,703.60) |
4 | $18,000.00 | $45,000.00 | $ (27,000.00) | $ (10,800.00) | 0.683 | $ (7,376.40) |
Total | $ 180,000.00 | $ 180,000.00 | present value of the tax benefits | $ 2,710.80 | ||
b)The incremental PV of using DDB depreciation rather than SL depreciation, at a discount rate of 10% | ||||||
Year | DDB | SLN | Difference | Tax effect = 40% x differnce | PV @ 10% | Present Value |
1 | $90,000.00 | $45,000.00 | $ 45,000.00 | $ 18,000.00 | 0.909 | $ 16,362.00 |
2 | $45,000.00 | $45,000.00 | $ - | $ - | 0.826 | $ - |
3 | $22,500.00 | $45,000.00 | $ (22,500.00) | $ (9,000.00) | 0.751 | $ (6,759.00) |
4 | $22,500.00 | $45,000.00 | $ (22,500.00) | $ (9,000.00) | 0.683 | $ (6,147.00) |
Total | $ 180,000.00 | $ 180,000.00 | present value of the tax benefits | $ 3,456.00 | ||
c) The incremental PV of using MACRs depreciation rather than SL depreciation, at a discount rate of 10% | ||||||
Year | MACRS | SLN | Difference | Tax effect = 40% x differnce | PV @ 10% | Present Value |
1 | $59,994.00 | $45,000.00 | $ 14,994.00 | $ 5,997.60 | 0.909 | $ 5,451.82 |
2 | $80,010.00 | $45,000.00 | $ 35,010.00 | $ 14,004.00 | 0.826 | $ 11,567.30 |
3 | $26,658.00 | $45,000.00 | $ (18,342.00) | $ (7,336.80) | 0.751 | $ (5,509.94) |
4 | $13,338.00 | $45,000.00 | $ (31,662.00) | $ (12,664.80) | 0.683 | $ (8,650.06) |
Total | $ 180,000.00 | $ 180,000.00 | present value of the tax benefits | $ 2,859.13 |
signment Saved Help Save & Exit Submit Check my work Freedom Corporation acquired a fixed asset...
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Check my work Freedom Corporation acquired a fixed asset for $200,000. Its estimated life at time of purchase was 4 years, with no estimated salvage value. Assume a discount rate of 11% and an income tax rate of 40%. (Use Exhibit 12.4, Appendix C, TABLE 1 and Appendix C TABLE 2.) 0.25 points eBook 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)...
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