Estimate the present value of the tax benefits from depreciation

Scion's EAC $
-13,364.53 ± 0.1%

Toyota's EAC $
-12,576.31 ± 0.1%

Which one should you choose?
Toyota correct

Explanation:
One iteration of each delivery car will consist of the following cash flows:

Year 0 1 2 3 4
Scion xA CFs -$ 24,000 -$ 3,200 -$ 3,200 -$ 3,200
Toyota Prius CFs -$ 32,500 -$ 1,650 -$ 1,650 -$ 1,650 -$ 1,650

NPV of Scion can be calculated in Excel as =-24000-PV(13%,3,-3200). This is equal to -31,555.69

Scion's EAC can be calculated in Excel as =PMT(13%,3,31555.69). This is equal to -13,364.53, i.e. negative 13,364.53

NPV of Toyota can be calculated in Excel as =-32500-PV(13%,4,-1650). This is equal to -37,407.88

Toyota's EAC can be calculated in Excel as =PMT(13%,4,37407.88). This is equal to -12,576.31, i.e. negative 12,576.31

Answer is as below:

Scion's EAC $-13,364.53
Toyota's EAC $-12,576.31

Depreciation Tax Shield is the tax saved resulting from the deduction of depreciation expense from the taxable income and can be calculated by multiplying the tax rate with the depreciation expense. Companies using accelerated depreciation methods (higher depreciation in initial years) are able to save more taxes due to higher value of tax shield. However, the straight-line depreciation method, the depreciation shield is lower.

Depreciation Tax Shield Formula

Depreciation tax shield = Tax Rate x Depreciation Expense

Estimate the present value of the tax benefits from depreciation

You are free to use this image on your website, templates, etc, Please provide us with an attribution linkArticle Link to be Hyperlinked
For eg:
Source: Depreciation Tax Shield (wallstreetmojo.com)

If company XYZ has a depreciation expense of $50,000 and the tax rate is 30%, then the calculation of depreciation tax shied will be as follows –

Depreciation tax shield = 30% x $50,000 = $15,000

Example

Let us look at a detailed example when a company prepares its tax income 1) accounting for depreciation expense and 2) not taking depreciation expense.

Case 1 – Taxable Income (with Depreciation Expense)

Estimate the present value of the tax benefits from depreciation

The tax rate considered in the example is 40%.

The Amount of Tax to be paid is calculated as –

  • TAX to be Paid over Income = (Revenues- Operating Expenses-Depreciation-Interest Expenses) x tax rate
  • or EBT x tax rate

We note that when depreciation expense is considered, EBTPretax income is a company's net earnings calculated after deducting all the expenses, including cash expenses like salary expense, interest expense, and non-cash expenses like depreciation and other charges from the total revenue generated before deducting the income tax expense.read more is negative, and therefore taxes paid by the company over the period of 4 years is Zero.

Case 2 – Taxable Income (not considering Depreciation Expense)

Estimate the present value of the tax benefits from depreciation

In Case we don’t take the Depreciation into account, then the Total Tax to be paid by the company is 1381 Dollar.

Why is Depreciation Tax Shield important?

  • It helps in reducing Tax liability. In order to promote investment, for various socio-economic development Government provides a higher Depreciation Rate.The depreciation rate is the percent rate at which an asset depreciates during its estimated useful life. It can also be defined as the percentage of a company's long-term investment in an asset that the firm claims as a tax-deductible expense throughout the asset's useful life.read more
  • Allowing a higher depreciation rate attracts the investors to invest their money in a particular sector. As a result, investors get TAX benefitsTax benefits refer to the credit that a business receives on its tax liability for complying with a norm proposed by the government. The advantage is either credited back to the company after paying its regular taxation amount or deducted when paying the tax liability in the first place.read more. The depreciation rates vary from 40% to 100%.
  • In order to boost renewable energy generation and to combat climate change, the government allows incentives to the investor to lower their tax expenses by allowing them to avail of accelerated depreciationAccelerated depreciation is a way of depreciating assets at a faster rate than the straight-line method, resulting in higher depreciation expenses in the early years of the asset's useful life than in the later years. The assumption that assets are more productive in the early years than in later years is the main motivation for using this method. read more benefit for investing the money in wind power and solar power projects.

How Accelerated Depreciation Works on Tax Savings?

Assumption – For 1MW Solar Power Plant

  • Project cost (capital cost) to be 1000 Dollars.
  • The depreciation amount to be 90% (10 % scrap value assuming)
  • Book depreciation (on fixed assetsFixed assets are assets that are held for the long term and are not expected to be converted into cash in a short period of time. Plant and machinery, land and buildings, furniture, computers, copyright, and vehicles are all examples.read more) to be 5.28 %
  • Tax depreciation rate to be 80% (under benefits)
  • Effective tax rateEffective tax rate determines the average taxation rate for a corporation or an individual. For both, there is a similar formula only with variation in considering variables. The effective tax rate formula for corporation = Total tax expense / EBTread more (as per government) to be 33.99%

The Life of Solar Power Plant is considered as 25 Years, but in this example, we have considered the time period for 4 years only.

The booked Depreciation Tax shield is under the Straight Line method as per the company act. The net benefit of accelerated depreciation when we compare to the straight-line method is illustrated in the table below.

Time PeriodYears1234
Book Depreciation % 5.28% 5.28% 5.28% 5.28%
Book Depreciation Capital Dollars $52.08 $52.08 $52.08 $52.08
Opening % 100% 60% 12% 2%
Allowed During the Year % 40% 48% 10% 2%
Closing % 60% 12% 2% 0%
Accelerated Depreciation Dollars $400.00 $480.00 $96.00 $19.20
Net Depreciation Benefit $347.00 $427.00 $43.20 $ (33.60)
Tax Benefit 33.99% $118.01 $145.21 $14.68 $ (11.42)

We note from above that the Tax Shield has a direct impact on the profits as net income will come down if depreciation expense is increasing, resulting in less tax burden.

This has been a guide to What is Depreciation Tax Shield. Here we discuss the formula to calculate tax shield on depreciation along with practical examples.  You may learn more about accounting from the following articles –

  • Tax Shield Formula
  • Sum of Year Digits Depreciation
  • Tax Equivalent Yield Calculations
  • Depreciation of Land Accounting

How do you calculate present value of depreciation tax shield?

Depreciation Tax Shield is the tax saved resulting from the deduction of depreciation expense from the taxable income and can be calculated by multiplying the tax rate with the depreciation expense.

What is the benefit of tax shield on depreciation?

A depreciation tax shield is a tax reduction technique under which depreciation expense is subtracted from taxable income. The amount by which depreciation shields the taxpayer from income taxes is the applicable tax rate, multiplied by the amount of depreciation.

How is depreciation tax shield calculated in Excel?

Formula to Calculate Tax Shield (Depreciation & Interest).
Tax Shield formula = Sum of Tax-Deductible Expenses * Tax rate..
Interest Tax Shield Formula = Average debt * Cost of debt * Tax rate..
Depreciation Tax Shield Formula = Depreciation expense * Tax rate..

How is tax advantage calculated?

Suppose you have invested Rs 1.5 lakh in an ELSS fund. The taxable income reduces to Rs 9,00,000 – Rs 50,000 – Rs 1,50,000 = Rs 7,00,000. However, if you had not utilised the Section 80C deduction, you would have incurred a tax liability of Rs 92,500. You have saved Rs 40,500 by using the Section 80C tax deduction.