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Most Company has an opportunity to invest in one of two new
projects. Project Y requires a $320,000 investment for new
machinery with a five-year life and no salvage value. Project Z
requires a $320,000 investment for new machinery with a four-year
life and no salvage value. The two projects yield the following
predicted annual results. The company uses straight-line
depreciation, and cash flows occur evenly throughout each year. (PV
of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate
factor(s) from the tables provided.)
Project Y | Project Z | |||||||
Sales | $ | 390,000 | $ | 312,000 | ||||
Expenses | ||||||||
Direct materials | 54,600 | 39,000 | ||||||
Direct labor | 78,000 | 46,800 | ||||||
Overhead including depreciation | 140,400 | 140,400 | ||||||
Selling and administrative expenses | 28,000 | 28,000 | ||||||
Total expenses | 301,000 | 254,200 | ||||||
Pretax income | 89,000 | 57,800 | ||||||
Income taxes (36%) | 32,040 | 20,808 | ||||||
Net income | $ | 56,960 | $ | 36,992 | ||||
4. Determine each project’s net present value using 7% as the discount rate. Assume that cash flows occur at each year-end. (Round your intermediate calculations.)
|
Project Y | |||||
Chart values are based on: | |||||
n = | 5 | ||||
i = | 7% | ||||
Select Chart | Amount | x | PV Factor | = | Present Value |
Present value of an annuity of 1 | 120960 | x | 4.1002 | = | 495960 |
Present value of cash inflows | 495960 | ||||
Present value of cash outflows | 320000 | ||||
Net present value | 175960 | ||||
Project Z | |||||
Chart values are based on: | |||||
n = | 4 | ||||
i = | 7% | ||||
Select Chart | Amount | x | PV Factor | = | Present Value |
Present value of an annuity of 1 | 116992 | x | 3.3872 | = | 396275 |
Present value of cash inflows | 396275 | ||||
Present value of cash outflows | 320000 | ||||
Net present value | 76275 | ||||
Workings: | |||||
Project Y | Project Z | ||||
Net income | 56960 | 36992 | |||
Add: Depreciation | 64000 | 80000 | |||
Annual cash flows | 120960 | 116992 |
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