Tax shield and Transposition error: Difference between pages

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A simple error of data entry when two digits in a number are reversed (transposed).


Broadly, the benefit to a taxpayer of the tax deductibility of certain business expenses - including borrowing costs - thus reducing their taxable income and their tax expenses.
When two adjacent digits are transposed the error will always be divisible by 9.


The term most often refers to borrowing costs - including debt interest - which are normally tax-deductible.
For example:
If 3,460 should be 3,640
the difference is 180 (3,640-3,460=180)
180/9 = 20.


This gives rise to tax shield benefits and reduces the after-tax cost of debt for corporate borrowers.


In cash terms, the annual tax savings for a tax-paying corporate borrower can be quantified as:
2.
 
Similar errors with non-numerical data.
Annual tax-deductible debt servicing costs paid (D x Kd) x relevant rate of corporation tax (t)
For example ABC entered wrongly as ACB.
 
Where:
 
D = Debt, for example $100m.
 
Kd = Pre-tax % cost of debt, for example 5%.
 
t = Relevant corporate tax rate, for example 28%.
 
In this example the annual tax shield benefit in $m is:
 
= ($100m x 0.05 = $5m) x 0.28
 
= <u>$1.4m.</u>
 
Another perspective on quantifying the tax shield benefits is the reduction in the after-tax cost of debt (for example = 5% x (1 - 0.28) = 3.6% in this case) compared with the before-tax cost of debt of 5%.
 
 
2.
 
More narrowly, the total present value of all of the expected future related cash flow benefits arising from the use of debt.
 
The total present value of the expected future cash flow benefits from the tax savings can be quantified/estimated by capitalising the annual saving (for example $1.4m) at the pre-tax cost of debt (for example Kd = 5%) as a fixed perpetuity using the perpetuity factor 1/Kd.
 
For example total present value of tax shield = $1.4m x [1/0.05] = <u>$28m</u>.
 
It can also be quantified more simply as D x t.
 
For example = $100m x 0.28 = $28m as before.




== See also ==
== See also ==
* [[Adjusted present value]]
* [[Double counting]]
* [[Cost of capital]]
 
[[Category:Taxation]]

Revision as of 13:07, 14 August 2013

1. A simple error of data entry when two digits in a number are reversed (transposed).

When two adjacent digits are transposed the error will always be divisible by 9.

For example: If 3,460 should be 3,640 the difference is 180 (3,640-3,460=180) 180/9 = 20.


2. Similar errors with non-numerical data. For example ABC entered wrongly as ACB.


See also