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OCF from Several Approaches A proposed new project has projected sales of \(\$ 85,000,\) costs of \(\$ 43,000,\) and depreciation of \(\$ 3,000 .\) The tax rate is 35 percent. Calculate operating cash flow using the four different approaches described in the chapter and verify that the answer is the same in each case.

Short Answer

Expert verified
The operating cash flow (OCF) for the proposed new project can be calculated using four different approaches: Top-Down, Bottom-Up, Tax Shield, and Standard Cash Flow. In all cases, the OCF comes out to be $25,350.

Step by step solution

01

Approach 1: Top-Down Approach

Step 1: Calculate the Earnings Before Interest and Taxes (EBIT) EBIT = Sales - Costs - Depreciation EBIT = \(85,000 - \)43,000 - $3,000 EBIT = $39,000 Step 2: Calculate Taxes Taxes = EBIT * Tax Rate Taxes = $39,000 * 0.35 Taxes = $13,650 Step 3: Calculate Operating Cash Flow (Top-Down Approach) OCF = EBIT - Taxes OCF = \(39,000 - \)13,650 OCF = $25,350
02

Approach 2: Bottom-Up Approach

Step 1: Calculate Net Income Net Income = (Sales - Costs - Depreciation) * (1 - Tax Rate) Net Income = (\(85,000 - \)43,000 - $3,000) * (1 - 0.35) Net Income = $25,350 Step 2: Calculate Operating Cash Flow (Bottom-Up Approach) OCF = Net Income + Depreciation OCF = \(25,350 + \)3,000 OCF = $25,350
03

Approach 3: Tax Shield Approach

Step 1: Calculate the Depreciation Tax Shield Depreciation Tax Shield = Depreciation * Tax Rate Depreciation Tax Shield = $3,000 * 0.35 Depreciation Tax Shield = $1,050 Step 2: Calculate Operating Cash Flow (Tax Shield Approach) OCF = EBIT * (1 - Tax Rate) + Depreciation Tax Shield OCF = \(39,000 * (1 - 0.35) + \)1,050 OCF = $25,350
04

Approach 4: Standard Cash Flow Approach

Step 1: Calculate Cash Flow Before Taxes (CFBT) CFBT = Sales - Costs CFBT = \(85,000 - \)43,000 CFBT = $42,000 Step 2: Calculate Cash Flow After Taxes (CFAT) CFAT = CFBT * (1 - Tax Rate) CFAT = $42,000 * (1 - 0.35) CFAT = $27,300 Step 3: Calculate Operating Cash Flow (Standard Cash Flow Approach) OCF = CFAT + Depreciation * Tax Rate OCF = \(27,300 + \)3,000 * 0.35 OCF = $25,350 Verifying the answers from all four approaches, we find that the Operating Cash Flow (OCF) is indeed the same, which is $25,350.

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Key Concepts

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

Top-Down Approach
The Top-Down Approach is a straightforward way to calculate operating cash flow. It begins with calculating the Earnings Before Interest and Taxes (EBIT). To find EBIT, subtract the total costs and depreciation from total sales. For example, if sales are $85,000, costs are $43,000, and depreciation is $3,000, the EBIT is $39,000. From there, calculate the taxes by multiplying the EBIT by the tax rate, which in this scenario is 35%. The taxes amount to $13,650. Finally, the operating cash flow (OCF) is determined by subtracting taxes from EBIT, yielding $25,350. This method is called "top-down" because it starts with gross sales figures and works downward to the net cash available after paying taxes. It simplifies the managerial overview by allowing a high-level understanding of the cash impact of revenues minus major costs.
Bottom-Up Approach
The Bottom-Up Approach provides another perspective. It starts from the net income level, which reflects the profit after taxes. Calculate the net income by subtracting costs and depreciation from sales and adjusting for taxes. With sales at $85,000, costs at $43,000, and depreciation at $3,000, the net income is $25,350 after applying a tax rate of 35%. To find the operating cash flow, add back the depreciation of $3,000 to the net income. This results in the same OCF of $25,350. The Bottom-Up Approach is beneficial because it highlights the additive nature of non-cash charges like depreciation, showing how net income rises to actual cash flow.
Depreciation Tax Shield
The Depreciation Tax Shield is an insightful concept in cash flow analysis. It acknowledges that depreciation, while a non-cash charge, can reduce taxable income, thus saving taxes. Calculate the shield by multiplying depreciation ($3,000) by the tax rate (35%), resulting in a $1,050 tax shield. In the Tax Shield Approach, the operating cash flow is determined by adjusting the EBIT by the tax rate and adding the depreciation tax shield. For $39,000 EBIT, the formula is: OCF = EBIT * (1 - Tax Rate) + Depreciation Tax Shield, leading to an OCF of $25,350. The method effectively demonstrates the cash flow benefits derived from tax-saving non-cash expenses.
Standard Cash Flow Approach
The Standard Cash Flow Approach simplifies cash flow calculations using pre and post-tax metrics. Begin by finding the cash flow before taxes (CFBT) by subtracting costs from sales, which amounts to $42,000. Next, calculate the cash flow after taxes (CFAT) by applying the tax rate: CFAT = CFBT * (1 - Tax Rate), totaling $27,300. Finally, determine the operating cash flow by adding back the portion of depreciation that affects taxes: CFAT + Depreciation * Tax Rate yields $25,350. This approach integrates both direct cash inflow and tax implications, refining cash flow understanding by highlighting after-tax cash effects.

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Most popular questions from this chapter

Calculating Depreciation A piece of newly purchased industrial equipment costs \(\$ 847,000\) and is classified as seven-year property under MACRS. Calculate the annual depreciation allowances and end-of-the-year book values for this equipment.

Calculating Salvage Value An asset used in a four-year project falls in the five-year MACRS class for tax purposes. The asset has an acquisition cost of \(\$ 8,400,000\) and will be sold for \(\$ 1,600,000\) at the end of the project. If the \(\operatorname{tax}\) rate is 35 percent, what is the after tax salvage value of the asset?

Calculating Salvage Value Consider an asset that costs \(\$ 320,000\) and is depreciated straight-line to zero over its eight-year tax life. The asset is to be used in a five-year project; at the end of the project, the asset can be sold for \(\$ 70,000\). If the relevant tax rate is 35 percent, what is the aftertax cash flow from the sale of this asset?

Project Evaluation Aguilera Acoustics (AAI), Inc., projects unit sales for a new 7 -octave voice emulation implant as follows: $$\begin{array}{|cc|} \hline \text { Year } & \text { Unit Sales } \\ \hline 1 & 95,000 \\ 2 & 107,000 \\ 3 & 110,000 \\ 4 & 112,000 \\ 5 & 85,000 \\ \hline \end{array}$$ Production of the implants will require \(\$ 1,500,000\) in net working capital to start and additional net working capital investments each year equal to 20 percent of the projected sales increase for the following year. Total fixed costs are \(\$ 750,000\) per year, variable production costs are \(\$ 210\) per unit, and the units are priced at \(\$ 330\) each. The equipment needed to begin production has an installed cost of \(\$ 14,000,000 .\) Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as seven-year MACRS property. In five years, this equipment can be sold for about 30 percent of its acquisition cost. AAI is in the 35 percent marginal tax bracket and has a required return on all its projects of 30 percent. Based on these preliminary project estimates, what is the NPV of the project? What is the IRR?

Relevant Cash Flows Cheesy Poofs, Inc., is looking at setting up a new manufacturing plant in South Park to produce Cheesy Poofs. The company bought some land six years ago for \(\$ 5\) million in anticipation of using it as a warehouse and distribution site, but the company has since decided to rent these facilities from a competitor instead. The land was appraised last week for \(\$ 4.2\) million. The company wants to build its new manufacturing plant on this land; the plant will cost \(\$ 7.3\) million to build, and the site requires \(\$ 325,000\) worth of grading before it is suitable for construction. What is the proper cash flow amount to use as the initial investment in fixed assets when evaluating this project? Why?

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