Math Problem Statement

Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.18 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $1.645 million in annual sales, with costs of $610,000. The tax rate is 21 percent and the required return is 12 percent. What is the project’s NPV? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

Solution

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Math Problem Analysis

Mathematical Concepts

Net Present Value (NPV)
Depreciation
Cash Flow Analysis
Discounting

Formulas

NPV = Σ (Cash Flows / (1 + r)^t) - Initial Investment
Depreciation = Initial Investment / Number of Years
Earnings Before Tax (EBT) = Sales - Costs - Depreciation
Net Income = EBT * (1 - Tax Rate)
Free Cash Flow = Net Income + Depreciation

Theorems

Time Value of Money

Suitable Grade Level

Undergraduate Finance/Business