Math Problem Statement

A retailer is considering whether to open a new shop on a vacant block of land it owns. If the company goes ahead with the project, it will construct a new building at a cost of $2,264,000. It will also incur additional expenses of $256,000. The tax office has ruled that the building can be depreciated straight-line over 10 years, but the additional expenses are immediately tax-deductible. The land was purchased ten years ago at a cost of $1,137,000 and is worth $11,474,000 today. Setting up the new shop will require inventory of $424,000. What is the initial cash flow of the project, if the corporate tax rate is 30%? (make sure you indicate outflow as"-" and inflow are positive numbers. Only show the total value at the start of the project)

Solution

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Math Problem Analysis

Mathematical Concepts

Corporate Finance
Cash Flow Analysis
Tax Deductions
Depreciation

Formulas

Initial Cash Flow = Construction Costs + Net Additional Expenses + Inventory Costs
Net Additional Expenses = Additional Expenses - (Tax Deduction on Additional Expenses)
Tax Deduction = Additional Expenses × Tax Rate

Theorems

Tax Impact on Cash Flow
Straight-line Depreciation

Suitable Grade Level

Undergraduate (Finance or Business Studies)