Math Problem Statement

Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2,300,000. 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 $3,070,000 in annual sales, with costs of $2,090,000. Assume the tax rate is 24 percent and the required return on the project is 11 percent. What is the project’s NPV?

Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

Solution

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Math Problem Analysis

Mathematical Concepts

Financial Mathematics
Net Present Value (NPV)
Depreciation

Formulas

Depreciation = Initial Investment / Life
EBT = Sales - Costs - Depreciation
Taxes = EBT * Tax Rate
Net Income = EBT - Taxes
Cash Flow = Net Income + Depreciation
NPV = Σ (Cash Flow / (1 + r)^t) - Initial Investment

Theorems

Time Value of Money
Capital Budgeting Principles

Suitable Grade Level

College Level