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Calculating Project OCF Bush Boomerang, Inc., is considering a new threeyear expansion project that requires an initial fixed asset investment of \(\$ 2.1 \mathrm{mil}\) lion. 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 \(\$ 1,900,000\) in annual sales, with costs of \(\$ 850,000\). If the tax rate is 35 percent, what is the OCF for this project?

Short Answer

Expert verified
The annual operating cash flow (OCF) for this project is \(\$927,500\).

Step by step solution

01

1. Calculate Annual Depreciation

First, we need to calculate the annual depreciation of the fixed asset. The fixed asset, worth $2.1 million, will be depreciated straight-line to zero over its three-year tax life. Therefore, we can calculate the annual depreciation by dividing the initial fixed asset investment by the tax life (in years): \(Annual \ Depreciation = \frac{Initial \ Fixed \ Asset \ Investment}{Tax \ Life} = \frac{2,100,000}{3}\)
02

2. Calculate Annual Taxable Income

Next, we calculate the taxable income for the project each year by subtracting annual costs and annual depreciation from annual sales: \(Annual \ Taxable \ Income = Annual \ Sales - Annual \ Costs - Annual \ Depreciation\)
03

3. Calculate Annual Taxes Paid

Now, we need to calculate the annual taxes paid for the project based on the 35% tax rate: \(Annual \ Taxes \ Paid = Annual \ Taxable \ Income \times Tax \ Rate\)
04

4. Calculate Annual After-Tax Income

To find the annual after-tax income for the project, subtract the annual taxes paid from the annual taxable income: \(Annual \ After-Tax \ Income = Annual \ Taxable \ Income - Annual \ Taxes \ Paid\)
05

5. Calculate Annual Operating Cash Flow (OCF)

Finally, we can calculate the annual operating cash flow (OCF) by adding the annual depreciation back to the annual after-tax income: \(Annual \ Operating \ Cash \ Flow = Annual \ After-Tax \ Income + Annual \ Depreciation\) Now, let's perform the calculations: 1. Calculate Annual Depreciation: \(Annual \ Depreciation = \frac{2,100,000}{3} = 700,000\) 2. Calculate Annual Taxable Income: \(Annual \ Taxable \ Income = 1,900,000 - 850,000 - 700,000 = 350,000\) 3. Calculate Annual Taxes Paid: \(Annual \ Taxes \ Paid = 350,000 \times 0.35 = 122,500\) 4. Calculate Annual After-Tax Income: \(Annual \ After-Tax \ Income = 350,000 - 122,500 = 227,500\) 5. Calculate Annual Operating Cash Flow (OCF): \(Annual \ Operating \ Cash \ Flow = 227,500 + 700,000 = \$ 927,500\) The annual operating cash flow (OCF) for this project is \(\$927,500\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Depreciation
Depreciation is a method of allocating the cost of a tangible asset over its useful life. In this context, it refers to the gradual reduction in the book value of a fixed asset, due to wear and tear or obsolescence.
For the Bush Boomerang project, the company's fixed asset investment of \(2.1 million is depreciated on a straight-line basis over three years. A straight-line depreciation means the asset loses the same amount of value each year until it is worth zero at the end of its useful life.
Here’s the formula used:
  • Annual Depreciation = \( \frac{\text{Initial Fixed Asset Investment}}{\text{Tax Life}} \)
As calculated in the step-by-step solution, the annual depreciation is \)700,000. This reduction lowers taxable income, affecting taxes paid.
Tax Rate
The tax rate is crucial for calculating how much tax a company needs to pay on its taxable income. It’s represented as a percentage and for Bush Boomerang, it is 35%.
To find the annual taxes paid, multiply the annual taxable income by the tax rate.
This can significantly affect the net income and cash flows of a project. For example:
  • Annual Taxes Paid = \( \text{Annual Taxable Income} \times \text{Tax Rate} \)
The tax rate helps decide how much of the profit will actually be available for reinvestment or paying dividends. In our example, the annual taxable income is \(350,000, so Bush Boomerang pays \)122,500 in taxes.
Fixed Asset Investment
Fixed Asset Investment refers to the purchase of long-term physical assets such as buildings, machinery, or equipment. These are vital as they often contribute significantly to a project’s productive capacity.
In Bush Boomerang's project, a fixed asset investment of $2.1 million is required.
Here are a few key points:
  • Such investments are usually expensive and require careful financial planning.
  • The initial cost comes into play when calculating both the depreciation and the total project cost.
This investment should theoretically pay off over the productive life of the asset by generating increased revenue or cutting costs through efficiency. For this project, the asset is expected to generate $1.9 million annually in sales.
Taxable Income
Taxable Income is the part of a company's income that is subject to tax, after accounting for all deductions, including expenses and depreciations. Calculating taxable income is critical because it directly determines how much tax will be paid.
With Bush Boomerang's scenario:
  • Annual Taxable Income = Annual Sales - Annual Costs - Annual Depreciation
For this project, taxable income is calculated to be $350,000 by subtracting annual costs and depreciation from the sales revenue.
This figure is used alongside the tax rate to compute the actual taxes paid, influencing the final cash flows a company retains.

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Most popular questions from this chapter

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