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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 \(\$ 1,900,000\) at the end of the project. If the tax rate is 35 percent, what is the aftertax salvage value of the asset?

Short Answer

Expert verified
The after-tax salvage value of the asset is $1,742,632.

Step by step solution

01

Look up the MACRS depreciation rates for 5-year properties

The MACRS depreciation rates for 5-year properties are as follows (in %): Year 1: 20% Year 2: 32% Year 3: 19.20% Year 4: 11.52% Year 5: 11.52% Year 6: 5.76% Since the project duration is 4 years, we will only use the rates for the first 4 years.
02

Calculate the annual depreciation of the asset

Using the acquired cost of the asset and the MACRS depreciation rates, we will calculate the annual depreciation for each year. Year 1: \(8,400,000 \times 0.20 = 1,680,000\) Year 2: \(8,400,000 \times 0.32 = 2,688,000\) Year 3: \(8,400,000 \times 0.192 = 1,612,800\) Year 4: \(8,400,000 \times 0.1152 = 967,680\)
03

Calculate the asset's book value at the end of the project

Next, we will find the book value of the asset at the end of the 4-year project by subtracting the accumulated depreciation from the acquired cost. Book value at the end = \(8,400,000 - (1,680,000 + 2,688,000 + 1,612,800 + 967,680)\) Book value at the end = \(8,400,000 - 6,948,480 = 1,451,520\)
04

Calculate the taxable gain or loss on the asset's sale

Now, we need to calculate the taxable gain or loss on the sale of the asset. The taxable gain or loss is given by the difference between the sale price and the book value. Taxable gain or loss = Sale price - Book value at the end Taxable gain or loss = \(1,900,000 - 1,451,520 = 448,480\) Since the taxable gain or loss is positive, we have a taxable gain.
05

Calculate the tax on the taxable gain

To find the tax payable on the taxable gain, we multiply the taxable gain by the tax rate. Tax on the taxable gain = Taxable gain × Tax rate Tax on the taxable gain = \(448,480 \times 0.35 = 157,368\)
06

Calculate the after-tax salvage value of the asset

Finally, the after-tax salvage value of the asset is the sale price minus the tax on the taxable gain. After-tax salvage value = Sale price - Tax on taxable gain After-tax salvage value = \(1,900,000 - 157,368 = 1,742,632\) So, the after-tax salvage value of the asset is $1,742,632.

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Key Concepts

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

MACRS Depreciation
The Modified Accelerated Cost Recovery System (MACRS) is important for tax purposes in the US. It dictates how an asset depreciates over time. The bigger picture of MACRS is that it allows businesses to recover the cost of an asset more rapidly.
In the case of a five-year MACRS property, the IRS provides specific depreciation rates which are: 20%, 32%, 19.20%, 11.52% for the first four years, and additional rates for years five and six. These rates help calculate how much depreciation the asset experiences each year.
For the asset in question, valued initially at $8,400,000, each year's depreciation is derived by multiplying the original cost by the respective year's MACRS rate. This helps businesses gain a tax benefit sooner and manage cash flow more effectively.
Book Value Calculation
The book value of an asset is essentially what the asset is worth on the bookkeeping records after accounting for depreciation. To calculate the book value at the end of the project, you subtract the accumulated depreciation from the original acquisition cost.
For our example, after running through the MACRS depreciation rates and applying them to the $8,400,000 initial value, the depreciation over the four years totals $6,948,480.
This leaves a book value of $1,451,520 at the end of the project. Knowing the book value is pivotal as it helps determine the taxable gain or loss if you decide to sell the asset.
Taxable Gain and Loss
When you sell an asset, the difference between the sale price and its book value results in either a gain or a loss. This is key to understanding what taxes you'll owe. If the sale price is more than the book value, like in our case where it's $1,900,000 over $1,451,520, it's a taxable gain.
Specifically here, the taxable gain is $448,480. Taxable gains are subject to taxes, similar to personal income.
This computation helps businesses manage their taxes properly at the end of an asset's life cycle, making the liquidation of assets a calculated decision in strategic financial planning.
After-Tax Salvage Value
The after-tax salvage value is what you keep after paying taxes on the taxable gain from selling the asset. To find this, you subtract the tax owed on the gain from the selling price.
In this scenario, with a taxable gain of $448,480 and a tax rate of 35%, you end up owing $157,368, reducing the cash you keep to an after-tax salvage value of $1,742,632.
Understanding after-tax values is crucial for businesses, as it reflects the actual residual cash flow from the sale, which can then be reinvested or used to finance other operations or debts.

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Most popular questions from this chapter

Equivalent Annual Cost Bridgton Golf Academy is evaluating different golf practice equipment. The "Dimple-Max" equipment costs \(\$ 63,000\), has a three- year life, and costs \(\$ 7,500\) per year to operate. The relevant discount rate is 12 percent. Assume that the straight-line depreciation method is used and that the equipment is fully depreciated to zero. Furthermore, assume the equipment has a salvage value of \(\$ 15,000\) at the end of the project's life. The relevant tax rate is 34 percent. All cash flows occur at the end of the year. What is the equivalent annual cost (EAC) of this equipment?

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?

Comparing Mutually Exclusive Projects Hagar Industrial Systems Company (HISC) is trying to decide between two different conveyor belt systems. System A costs \(\$ 360,000\), has a four-year life, and requires \(\$ 105,000\) in pretax annual operating costs. System B costs \(\$ \mathbf{4 8 0 , 0 0 0}\), has a sixyear life, and requires \(\$ 65,000\) in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. If the tax rate is 34 percent and the discount rate is 11 percent, which system should the firm choose?

Calculating a Bid Price Another utilization of cash flow analysis is setting the bid price on a project. To calculate the bid price, we set the project NPV equal to zero and find the required price. Thus the bid price represents a financial break-even level for the project. Guthrie Enterprises needs someone to supply it with 130,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you've decided to bid on the contract. It will cost you \(\$ 830,000\) to install the equipment necessary to start production; you'll depreciate this cost straight-line to zero over the project's life. You estimate that in five years this equipment can be salvaged for \(\$ 60,000\). Your fixed production costs will be \(\$ 210,000\) per year, and your variable production costs should be \(\$ 8.50\) per carton. You also need an initial investment in net working capital of \(\$ 75,000\). If your tax rate is 35 percent and you require a 14 percent return on your investment, what bid price should you submit?

Inflation and Company Value Sparkling Water, Inc., expects to sell 2.1 million bottles of drinking water each year in perpetuity. This year each bottle will sell for \(\$ 1.25\) in real terms and will cost \(\$ .75\) in real terms. Sales income and costs occur at year-end. Revenues will rise at a real rate of 6 percent annually, while real costs will rise at a real rate of 5 percent annually. The real discount rate is 10 percent. The corporate tax rate is 34 percent. What is Sparkling worth today?

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