Shields Company has gathered the following data on a proposed investment project.Investment required in equipment$400,000Annual cash inflows$80,000Residual value$0Life of the investment10 yearsDiscount rate10%
Question
Shields Company has gathered the following data on a proposed investment project.Investment required in equipment80,000Residual value$0Life of the investment10 yearsDiscount rate10%
Solution
It seems like you want to evaluate the proposed investment project. One way to do this is by calculating the Net Present Value (NPV). Here are the steps:
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Calculate the present value of the annual cash inflows. The formula for the present value (PV) of a future cash flow is PV = CF / (1 + r)^n, where CF is the cash inflow, r is the discount rate, and n is the period. In this case, CF is $80,000, r is 10% (or 0.10), and n ranges from 1 to 10 years. You need to calculate this for each year and then sum up all the present values.
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Calculate the present value of the investment required in equipment. This is simply the initial investment as it is already in present terms, which is $400,000.
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Calculate the Net Present Value (NPV) by subtracting the present value of the investment (step 2) from the total present value of the cash inflows (step 1). If the NPV is positive, the project is considered profitable. If it's negative, the project is not profitable.
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The residual value is $0, so it doesn't affect the NPV calculation.
Remember, this is a simplified analysis and there might be other factors to consider in a real-world scenario.
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