Math Problem Statement

Everett Inc is considering purchasing a new inventory control system featuring state-of-the-art technology.  Three vendors have submitted proposals to supply Everett Inc with the new system.  The system offered by Vendor A requires an initial outlay of $450,000 and has a useful life of 8 years.  The expected cash inflows from the system are $77,000 for each of the 8 years.  Vendor B has proposed to sell Everett Inc a system that will require an initial outlay of $145,000 and has an 7-year life.  Vendor B’s system is expected to provide cash inflows to Everett Inc of $34,000 per year for the 7 years. Vender C requires an initial outlay of $315,000, has a useful life of 6 years and provides expected cash flows of $80,000.

g. Calculate the net present value (NPV) of each system if Everett Inc's required rate of return is 11.%.  What is the NPV for Vendor C? Show answer to 2-decimal points [XX.XX].

Solution

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Math Problem Analysis

Mathematical Concepts

Finance
Net Present Value (NPV)
Discounted Cash Flow (DCF)
Time Value of Money

Formulas

NPV formula: NPV = \sum_{t=1}^{n} \frac{R_t}{(1 + r)^t} - C_0

Theorems

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Suitable Grade Level

Professional