Math Problem Statement

Anderson International Limited is evaluating a project in Erewhon. The project will create the following cash flows:

Year Cash Flow 0 −$ 592,000 1 222,000 2 165,000 3 230,000 4 209,000 All cash flows will occur in Erewhon and are expressed in dollars. In an attempt to improve its economy, the Erewhonian government has declared that all cash flows created by a foreign company are “blocked” and must be reinvested with the government for one year. The reinvestment rate for these funds is 5 percent. Assume Anderson uses a required return of 13 percent on this project. What is the NPV of the project?

Solution

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Math Problem Analysis

Mathematical Concepts

Net Present Value (NPV)
Reinvestment Rate
Discounting Cash Flows

Formulas

NPV = ∑ [Cash Flow / (1 + Discount Rate)^t] - Initial Investment
Future Value of Cash Flow = Cash Flow × (1 + Reinvestment Rate)
Present Value = Future Cash Flow / (1 + Discount Rate)^t

Theorems

Time Value of Money
Discounting Formula

Suitable Grade Level

College/University (Finance or Business Courses)