Question
Problem 11-2A Analysis and computation of payback period, accounting rate of return, and net present value LO P1, P2, P3 * 5. IDENTIFY THE PROJECT
Problem 11-2A Analysis and computation of payback period, accounting rate of return, and net present value LO P1, P2, P3
* 5. IDENTIFY THE PROJECT YOU WOULD RECOMMEND TO MANAGEMENT AND EXPLAIN YOUR CHOICE. *
[The following information applies to the questions displayed below.] Most Company has an opportunity to invest in one of two new projects. Project Y requires a $350,000 investment for new machinery with a four-year life and no salvage value. Project Z requires a $350,000 investment for new machinery with a three-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 | ||||
|
1. Compute each projects annual expected net cash flows.
Project Y | Project Z | |
Net Income | $56,000 | 36,400 |
Depreciation expense | 87,500 | 116,666 |
Expected net cash flows | 143,500 | 153,067 |
2. Determine each project's payback period
Choose numerator: | / | Choose denominator: | = | Payback period | |
Cost of investment | / | Annual net cash flow | = | Payback period | |
Project Y | $350,000 | / | 143,500 | = | 2.44 years |
Project Z | $350,000 | / | 153,067 | = | 2.29 years |
4. Determine each project's net present value using 8% as the discount rate. Assume that cash flows occur at each year-end.
Project Y: n = 4, i = 8%
Select chart | amount | x | PV factor | = | present value |
Present value of an annuity of 1 | $143,500 | x | 3.3121 | = | $475,286 |
Present value of cash inflows | $475,286 |
Present value of cash outflows | 350,000 |
Net present value | $125,290 |
Project Z: n=3, i= 8%
Select chart | amount | x | PV factor | = | present value |
Present value of an annuity of 1 | $153,067 | x | 2.5771 | = | $394,469 |
Present value of cash inflows | $393,469 |
Present value of cash outflows | 350,000 |
Net present value | $44,468 |
5. IDENTIFY THE PROJECT YOU WOULD RECOMMEND TO MANAGEMENT AND EXPLAIN YOUR CHOICE.
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