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Calculating Nominal Cash Flow Etonic Inc. is considering an investment of \(\mathbf{\$ 0 5 , 0 0 0}\) in an asset with an economic life of five years. The firm estimates that the nominal annual cash revenues and expenses at the end of the first year will be \(\$ 230,000\) and \(\$ 60,000\), respectively. Both revenues and expenses will grow thereafter at the annual inflation rate of 3 percent. Etonic will use the straight-line method to depreciate its asset to zero over five years. The salvage value of the asset is estimated to be \(\$ 40,000\) in nominal terms at that time. The one-time net working capital investment of \(\$ 10,000\) is required immediately and will be recovered at the end of the project. All corporate cash flows are subject to a 34 percent tax rate. What is the project's total nominal cash flow from assets for each year?

Short Answer

Expert verified
The project's total nominal cash flows from assets for each year can be calculated by following these steps: 1. Calculate the depreciation expense by using the straight-line depreciation method, which is \(\$10,000\) per year. 2. Calculate the net revenues and expenses for each year, accounting for the 3% annual inflation rate. 3. Calculate the nominal cash flow before tax for each year by subtracting the expenses from the revenues. 4. Calculate the after-tax cash flow for each year, considering a 34% tax rate. 5. Account for the working capital investment and salvage value in the first and last year. Now, after following these steps, you will have the total nominal cash flow from assets for each year of the project.

Step by step solution

01

Calculate Depreciation Expense

We will use the straight-line depreciation method to depreciate the asset to zero over five years. The formula for straight-line depreciation is: \[Depreciation\, Expense =\frac{Initial\,Value- Final\,Value}{Life}\\ \] In this case, Initial Value = 50,000\(, Final Value = 0\), and Life = 5 years. The depreciation expense will be: \(Depreciation\,Expense =\frac{\$50,000- \$0}{5}=\$10,000\) per year.
02

Calculate Net Revenues and Expenses

For each year, we have to calculate the net revenues and expenses, taking into account the annual inflation rate of 3 percent. To calculate the nominal annual cash revenues for each year, we use the formula: \[Revenues_{Year\,n} = Revenues_{Year\,1} \times (1 + Inflation\,Rate)^{n-1}\\ \] For net expenses, we take into account the depreciation expense calculated in step 1 and use a similar formula: \[Expenses_{Year\,n}=(Expenses_{Year\,1}+Depreciation\,Expense)\times (1 + Inflation\,Rate)^{n-1}\\ \]
03

Calculate Nominal Cash Flow Before Tax

For each year, we will calculate the nominal cash flow (revenues - expenses) before tax: \[Nominal\,Cash\,Flow\,Before\,Tax_{Year\,n} = Revenues_{Year\,n} - Expenses_{Year\,n}\\ \]
04

Calculate After-tax Cash Flow

We will calculate the after-tax cash flow for each year by considering the taxes at a rate of 34 percent: \[After\,-\,tax\,Cash\,Flow_{Year\,n} = Nominal\,Cash\,Flow\,Before\,Tax_{Year\,n} \times (1 - Tax\,Rate)\\ \]
05

Account for Working Capital Investment and Salvage Value

In the first year, subtract the working capital investment from the after-tax cash flow, and in the last year, add the recovered working capital investment and salvage value of the asset to the after-tax cash flow: \[Total\,Nominal\,Cash\,Flow_{Year\,1} = After\,-\,tax\,Cash\,Flow_{Year\,1} - \$10,000\\ \] \[Total\,Nominal\,Cash\,Flow_{Year\,5} = After\,-\,tax\,Cash\,Flow_{Year\,5} + \$10,000 + \$40,000\\ \] For years 2 to 4, the total nominal cash flow is the same as the after-tax cash flow. Now, you can follow these steps to find the project's total nominal cash flow from assets for each year.

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Key Concepts

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

Straight-Line Depreciation
Straight-line depreciation is an accounting method used to allocate the cost of a tangible asset over its useful life in a linear fashion. This method is both simple to calculate and apply, making it a popular choice for businesses. When Etonic Inc. purchases an asset for \(\mathbf{\$ 0 5 , 0 0 0}\), it decides the asset will be fully depreciated over a period of five years.

Under the straight-line method, the formula is as follows: \[Depreciation\, Expense = \frac{Initial\,Value- Salvage\,Value}{Life}\] Since the salvage value is considered to be \(\$0\) after five years, the annual depreciation expense is calculated by simply dividing the initial value by the asset's lifespan. For Etonic Inc., the annual depreciation expense comes out to \(\$10,000\) per year. This consistent amount is subtracted each year from the revenues to help calculate the taxable income.
Inflation Impact on Cash Flow
Inflation is the rate at which the general level of prices for goods and services is rising, and subsequently, purchasing power is falling. In a practical sense, it means that the money you have today will buy less tomorrow. For businesses, inflation impacts both revenues and expenses, and when projecting cash flows, this impact must be taken into consideration.

To adjust for inflation in cash flow calculations like those for Etonic Inc., nominal terms must be used. Nominal terms account for the change in money value due to inflation. The formulas to calculate the nominal annual cash revenues and expenses are: \[Revenues_{Year\,n} = Revenues_{Year\,1} \times (1 + Inflation\,Rate)^{n-1}\] \[Expenses_{Year\,n}=(Expenses_{Year\,1}+Depreciation\,Expense)\times (1 + Inflation\,Rate)^{n-1}\] As revenues and expenses are projected to increase by the inflation rate (3% in this case), every subsequent year's nominal cash flows must be adjusted to reflect the true expected amount, ensuring the accuracy of the cash flow analysis.
After-Tax Cash Flow
After-tax cash flow is the net cash flow available to a business after it has paid all its taxes. This figure is crucial for understanding the true profitability of a project or investment. It is the actual cash that the company can use for various purposes, such as reinvestment, dividend distribution, or debt repayment.

For Etonic Inc., after-tax cash flow calculation incorporates the corporate tax rate of 34 percent and is given by the formula: \[After\,-\,tax\,Cash\,Flow_{Year\,n} = Nominal\,Cash\,Flow\,Before\,Tax_{Year\,n} \times (1 - Tax\,Rate)\] Importantly, tax implications may vastly change the desirability of an investment when compared to pre-tax evaluations. After arriving at the nominal cash flow before tax, the tax rate is applied, reducing the cash flow available and providing a clear picture of the after-tax benefits of the project for each year.

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