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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.

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 371,200andhasa12yearlifeandnosalvagevalue.B2BCompanyrequiresatleastan9371,200 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,PVAof1, PVA of 1, and FVA of 1)(Useappropriatefactor(s)fromthetablesprovided.)  Salesofnewproduct1) (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.

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Solution

To compute the net present value (NPV) of this investment, we need to follow these steps:

  1. Calculate the annual cash inflow: This is the annual income that the company expects to earn from the equipment. In this case, it's $96,867.

  2. Determine the present value of the cash inflows: This is done by multiplying the annual cash inflow by the present value annuity factor for a 9% return over 12 years. The present value annuity factor for a 9% return over 12 years is approximately 7.161 (you can find this value in the PVA of 1table).So,thepresentvalueofthecashinflowsis1 table). So, the present value of the cash inflows is 96,867 * 7.161 = $693,937.47.

  3. Subtract the cost of the equipment: The equipment costs $371,200, so subtract this from the present value of the cash inflows to get the NPV.

So, NPV = 693,937.47693,937.47 - 371,200 = $322,737.47.

Therefore, the net present value of this investment is $322,737.47. Since the NPV is positive, it indicates that the investment would generate a return higher than the required 9%, and therefore, it would be a good investment for B2B Company.

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