Initial investment: Basic calculation Cushing Corporation is considering the purchase of a new grading machine to replace the existing one. The existing machine was purchased 3 years ago at an installed cost of $20,000; it was being depreciated under MACRS using a 5-year recovery period. (See Table 4.2 on page 120 for the applicable depreciation percentages, whick I included below.) The existing machine is expected to have a usable life of at least 5 more years. The new machine costs $35,000 and requires $5,000 in installation costs; it will be depreciated using a 5-year recovery period under MACRS. The existing machine can currently be sold for $25,000 without incurring any removal or cleanup costs. The firm is subject to a 40% tax rate. Calculate the initial investment associated with the proposed purchase of a new grading machine
Table 4.2 Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes
Percentage by recovery yeara
Recovery year 3 years 5 years 7 years 10 years
Year 1 - 33%, 20%, 14%. 10%
Year 2 - 45%, 32%, 25%, 18%
Year 3 -15%, 19%, 18%, 14%
Year 4- 7%, 12%, 12%, 12%
Year 5- 12% (5year) 9% (7 years) 9% (10years)
Year 6 - 5% (5year) 9%(7year) 8%(10year)
Year 7 - 9% (7year) 7%(10year)
Year 8 - 4% (7year) 6%(10year)
Year 9 - 6%(10year)
Year 10 - 6%(10year)
Year 11 - 4%(10year)
Totals 100% 100% 100% 100%
aThese percentages have been rounded to the nearest whole percent to simplify calculations while retaining
realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded
percentages or directly apply double-declining balance depreciation using the half-year convention.
Initial investment: Basic calculation Cushing Corporation is considering the purchase of a new grading machine to replace the existing one. The existing machine was purchased 3 years ago at an installed cost of $20,000; it was being depreciated under MACRS using a 5-year recovery period. (See Table 4.2 on page 120 for the applicable depreciation percentages, whick I included below.) The existing machine is expected to have a usable life of at least 5 more years. The new machine costs $35,000 and requires $5,000 in installation costs; it will be depreciated using a 5-year recovery period under MACRS. The existing machine can currently be sold for $25,000 without incurring any removal or cleanup costs. The firm is subject to a 40% tax rate. Calculate the initial investment associated with the proposed purchase of a new grading machine
Table 4.2 Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes
Percentage by recovery yeara
Recovery year 3 years 5 years 7 years 10 years
Year 1 - 33%, 20%, 14%. 10%
Year 2 - 45%, 32%, 25%, 18%
Year 3 -15%, 19%, 18%, 14%
Year 4- 7%, 12%, 12%, 12%
Year 5- 12% (5year) 9% (7 years) 9% (10years)
Year 6 - 5% (5year) 9%(7year) 8%(10year)
Year 7 - 9% (7year) 7%(10year)
Year 8 - 4% (7year) 6%(10year)
Year 9 - 6%(10year)
Year 10 - 6%(10year)
Year 11 - 4%(10year)
Totals 100% 100% 100% 100%
aThese percentages have been rounded to the nearest whole percent to simplify calculations while retaining
realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded
percentages or directly apply double-declining balance depreciation using the half-year convention.
Related questions
IntegrativeâDetermining relevant cash flows Atlantic Dry dock is considering replacing an existing hoist with one of two newer, more efficient pieces of equipment. The existing hoist is 3 years old, cost $31,500, and is being depreciated under MACRS using a 5-year recovery period. Although the existing hoist has only 3 years (years 4, 5, and 6) of depreciation remaining under MACRS, it has a remaining usable life of 5 years. Hoist A, one of the two possible replacement hoists, costs $39,500 to purchase and $8,500 to install. It has a 5-year usable life and will be depreciated under MACRS using a 5-year recovery period. The other hoist, B, costs $54,900 to purchase and $5,800 to install. It also has a 5-year usable life and will be depreciated under MACRS using a 5-year recovery period. Increased investments in net working capital will accompany the decision to acquire hoist A or hoist B. Purchase of hoist A would result in a $4,200 increase in net working capital; hoist B would result in a $5,500 increase in net working capital. The projected profits before depreciation and taxes with each alternative hoist and the existing hoist are given in the following table.
| Earning before depreciation,interest,and taxes | |||
| year | with hoist A | with hoist B | WITH EXISTING HOIST |
| 1 | 20,700 | 21,700 | 14,900 |
| 2 | 20,700 | 24,000 | 14,900 |
| 3 | 20,700 | 25,400 | 14,900 |
| 4 | 20,700 | 25,400 | 14,900 |
| 5 | 20,700 | 25,400 | 14,900 |
The existing hoist can currently be sold for $18,600 and will not incur any removal or cleanup costs. At the end of 5 years, the existing hoist can be sold to net $1,400 before taxes. Hoists A and B can be sold to net $11,500 and $21,000 before taxes, respectively, at the end of the 5-year period. The firm is subject to a 40% tax rate on both ordinary income and capital gains. (Table 3.2 on page 100 contains the applicable MACRS depreciation percentages.)
| Rounded Depreciation Percentages by Recovery Year Using MACRS for | ||||
| Percentage by recovery year* | ||||
| Recovery year | 3 years | 5 years | 7 years | 10 years |
| 1 | 33% | 20% | 14% | 10% |
| 2 | 45% | 32% | 25% | 18% |
| 3 | 15% | 19% | 18% | 14% |
| 4 | 7% | 12% | 12% | 12% |
| 5 | 12% | 9% | 9% | |
| 6 | 5% | 9% | 8% | |
| 7 | 9% | 7% | ||
| 8 | 4% | 6% | ||
| 9 | 6% | |||
| 10 | 6% | |||
| 11 | 4% | |||
| Totals | 100% | 100% | 100% | 100% |
Calculate only Hoist B (Ignore Hoist A).
a) Calculate the NPV, IRR, Payback Period and Discounted Payback Period (the cost of capital of 10%)
b)By using you own assumption or probability of occurring for new machine only (others remain unchanged), prepare a scenario analysis and recalculate the incremental operating cash inflow for year 1 to 5 associated with the proposed replacement.
Please show all the step and calculation (thank you)
