B2B Company is considering the purchase of equipment that would allow the company to add a new product to its line. The equipment costs $371,200 and has a 12-year life and no salvage value. B2B Company requires at least an 9% return on this investment. The expected annual income for each year from this equipment follows: (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.) Sales of new product $ 232,000Expenses Materials, labor, and overhead (except depreciation) 81,000Depreciation—Equipment 30,933Selling, general, and administrative expenses 23,200Income $ 96,867(a) Compute the net present value of this investment.(b) Should the investment be accepted or rejected on the basis of net present value?
Question
B2B Company is considering the purchase of equipment that would allow the company to add a new product to its line. The equipment costs 1, FV of 1, and FVA of 232,000Expenses Materials, labor, and overhead (except depreciation) 81,000Depreciation—Equipment 30,933Selling, general, and administrative expenses 23,200Income $ 96,867(a) Compute the net present value of this investment.(b) Should the investment be accepted or rejected on the basis of net present value?
Solution
To answer this question, we need to calculate the Net Present Value (NPV) of the investment. The NPV is the difference between the present value of cash inflows and the present value of cash outflows over a period of time.
(a) Compute the net present value of this investment.
Step 1: Calculate the annual cash inflow. This is the income the company expects to earn from the equipment each year.
Sales of new product: $232,000 Expenses:
- Materials, labor, and overhead (except depreciation): $81,000
- Depreciation—Equipment: $30,933
- Selling, general, and administrative expenses: $23,200
Income = Sales - Expenses Income = 81,000 + 23,200) Income = $96,867
Step 2: Calculate the present value of these cash inflows. We use the Present Value of Annuity (PVA) formula for this, which is PVA = C * [(1 - (1 + r)^-n) / r], where C is the annual cash inflow, r is the discount rate (or required rate of return), and n is the number of years.
PVA = 96,867 * 7.161 PVA = $693,919.87
Step 3: Subtract the cost of the equipment from the present value of the cash inflows to get the NPV.
NPV = PVA - Cost of equipment NPV = 371,200 NPV = $322,719.87
(b) Should the investment be accepted or rejected on the basis of net present value?
The rule of thumb is that if the NPV is positive, the investment should be accepted because it is expected to generate more cash inflow than the cost of the investment. If the NPV is negative, the investment should be rejected because it is expected to generate less cash inflow than the cost of the investment.
In this case, the NPV is positive ($322,719.87), so the investment should be accepted.
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