Question

In: Accounting

Your Company purchased a machine with an estimated useful life of 8 years. The machine will...

Your Company purchased a machine with an estimated useful life of 8 years. The machine will generate cash inflows of $96,000 each year. The salvage value at the end of the project is $80,000. Your Company's discount rate is 6%. The net present value of the investment is ($7,500). What is the purchase price of the machine?

Solutions

Expert Solution

Net present value (NPV) = Present value of cash inflows (-) Initial investment

Present value of cash inflows:

Net present value (NPV) = -$7,500

  • Net present value (NPV) = Present value of cash inflows (-) Initial investment
  • Initial investment = Present value of cash inflows (-) NPV = $646,333.18 - ($7,500) = $646,333.18 + $7,500 = $653,833.18

Check:

  • Net present value (NPV) is the difference between the present value of cash inflows and the present value of cash outflows over the life of an investment project.
  • NPV is used to evaluate investment projects in capital budgeting.
  • A project with a positive NPV is accepted. A positive NPV indicates that the project will result in net cash inflows in today's dollars.
  • A project with a negative NPV is rejected. A negative NPV indicates that the project will result in net cash outflows in today's dollars.
  • The cash flows are discounted at a required rate of return. It may be a weighted average cost of capital, cost of debt, etc.

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