Deferred Tax Liability – Effect of Tax Rate Change

In this video, we will discuss how the change of tax rate changes the deferred tax liability (DTL). Please first refer to the basics of “Deferred Tax Liability”. The following is a part of the transcript. This video requires Flash 8 or above. If it does not start, click the play button to start.

 

 

When the tax rate changes, the DTL (or DTA) left from the previous years have to be readjusted. And:

 

DTL_carried_from_last_year = DTL_last_year x new tax rate/ old tax rate

 

The calculation of the tax expense is very simple. All you have to do is just to use the following equation we have learnt:

 

Tax Expense = Tax Payable + Delta_DTLDelta_DTA

 

Tax payable is still equals to the new tax rate x the taxable income. For Delta_DTL:

 

Delta_DTL = DTL_carried_from_last_yearDTL_last_year + DTL_of_this_year

 

However, tax expense is not just simply the new tax rate x the pre-tax income. Instead, we have to use the above equation to find the tax expense.

 

Let’s continue to work on the previous example. But we assume tax rate changed to 40% in 2006.

 

Assume we have an asset with useful life of 3 years (and salvage cost = 0) and costs $6000. Every year, the income before subtracting the depreciation is $4000. Tax rate is 30% but changed to 40% in 2006 and 2007. In the income statement, we depreciate the asset for 3 years (so, each year $2000) for accounting but 2 years for tax return purpose (so $3000/ year). We have the following table (please refer to the videos on how we arrived this table):

 

 

 

 

2005

2006

2007

Total

Income before dep.

4000

4000

4000

12000

Depreciation (acct)

2000

2000

2000

6000

Pre-Tax Income

2000

2000

2000

6000

Tax expenses

600

900

800

2300

Depreciation (Tax)

3000

3000

0

6000

Taxable Income

1000

1000

4000

6000

Tax payable

300

400

1600

2300

DTL

300

800

0

 

 

 

 

3 Comments

[...] Deferred Tax Liability – Effect of Tax Rate Change (Newest! Aug 19, 2007) [...]

VivekAugust 20th, 2007 at 3:47 am

Could you please post the Excel sheet so we can directly see the formulas.

Calculation of DTL for 2006 (i.e Column:2006, Row:DTL) You mention that when the rate changes we can no longer calculate tax expense as simply the new tax rate x the pre-tax income, and we have to use the use the equation.

Now for using the equation you need to find the value of Delta DTL 2006. You have provided the following calculation for Delta DTL 2006

Tax Expense – Tax Payable + DTL_carried_from_last_year i.e Delta DTL = 800 – 400 + 300*(0.4/0.3) = 800

Using this calculated value of Delta DTL (i.e 800) you calculate the value of Tax Expense Tax Expense = Tax Payable + Delta_DTL – Delta_DTA Tax Expense = 900

I dont figure out how you have come to Tax Expense as 900 when you allready used (the persumed incorrectly calculated Tax Expense) value of Tax Expense of 800 ?

AdministratorAugust 20th, 2007 at 9:52 am

Hi Vivek,

We DO NOT calculate the Delta_DTL from the given equation. Instead, Delta_DTL = DTL_carried_from_last_year (updated with new tax rate) – Last_year_DTL + Additional_DTL_this_year = 300*0.4/0.3 -300 + 400

In order to calculate the Additional_DTL_this_year, we used 800 (the presumed incorrectly calculated tax expense)-400. But although 800 is NOT the correct tax expense, it is the correct data to be used to calculate the Additional_DTL_This_year.

And the final Tax_expense = Tax payable + Delta_DTL = 400 + 300*0.4/0.3 -300 + 400

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