Poe Company is considering the purchase of new equipment costing $80,000. The projected annual cash inflows are $30,200, to be received at the end of each year. The machine has a useful life of 4 years and no salvage value. Poe requires a 10% return on its investments. The present value of an annuity of $1 and present value of an annuity for different periods are presented below. Compute the net present value of the machine (rounded to the nearest whole dollar). Periods Present Value of $1 at 10% Present Value of an Annuity of $1 at 10%1 0.9091 0.90912 0.8264 1.73553 0.7514 2.48694 0.6830 3.1699
Question
Poe Company is considering the purchase of new equipment costing 30,200, to be received at the end of each year. The machine has a useful life of 4 years and no salvage value. Poe requires a 10% return on its investments. The present value of an annuity of 1 at 10% Present Value of an Annuity of $1 at 10%1 0.9091 0.90912 0.8264 1.73553 0.7514 2.48694 0.6830 3.1699
Solution
To calculate the net present value (NPV) of the machine, we need to follow these steps:
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Calculate the present value of the cash inflows: The projected annual cash inflows are 1 at 10% for 4 periods is 3.1699. So, the present value of the cash inflows is 95,654.38.
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Subtract the cost of the machine: The cost of the machine is 95,654.38 - 15,654.38.
Therefore, the net present value of the machine, rounded to the nearest whole dollar, is $15,654.
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