Most Company has an opportunity to invest in one of two new
projects. Project Y requires a $340,000 investment for new
machinery with a six-year life and no salvage value. Project Z
requires a $340,000 investment for new machinery with a five-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 | $ | 350,000 | $ | 280,000 | ||||
Expenses | ||||||||
Direct materials | 49,000 | 35,000 | ||||||
Direct labor | 70,000 | 42,000 | ||||||
Overhead including depreciation | 126,000 | 126,000 | ||||||
Selling and administrative expenses | 25,000 | 25,000 | ||||||
Total expenses | 270,000 | 228,000 | ||||||
Pretax income | 80,000 | 52,000 | ||||||
Income taxes (30%) | 24,000 | 15,600 | ||||||
Net income | $ | 56,000 | $ | 36,400 | ||||
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 = | 6 | ||||
i = | 7% | ||||
Select Chart | Amount | x | PV Factor | = | Present Value |
Present value of an annuity of 1 | 112667 | x | 4.7665 | = | 537027 |
Present value of cash inflows | 537027 | ||||
Present value of cash outflows | 340000 | ||||
Net present value | 197027 | ||||
Project Z | |||||
Chart values are based on: | |||||
n = | 5 | ||||
i = | 7% | ||||
Select Chart | Amount | x | PV Factor | = | Present Value |
Present value of an annuity of 1 | 104400 | x | 4.1002 | = | 428061 |
Present value of cash inflows | 428061 | ||||
Present value of cash outflows | 340000 | ||||
Net present value | 88061 | ||||
Workings: | |||||
Project Y | Project Z | ||||
Net income | 56000 | 36400 | |||
Add: Depreciation | 56667 | 68000 | |||
Annual cash flows | 112667 | 104400 |
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