Question

Suppose that you are able to generate an annual depreciation deduction of $20,000 that would otherwise have been taxed at a 30% rate each year for 7 years. Suppose that your taxes due on sale in year 7 will be $32,000 greater than if the property had not been depreciated. Determine the net benefit of depreciation assuming a discount rate of 6.5%.

A. $12,315
B. $20,592
C. $32,907
D. $53,499
Ans: A

Please show how to get the answer $12,315. Preferably using financial calculator (not excel).

Answer 1

Tax Saving on Depreciation = $20,000 * 30%

= $6,000

Present Value Interest Factor of Annuity (PVIFA) =

   ⁼

= 0.5539 / 0.1010

= 5.4845

PVIFA of Tax Savings on Depreciation = 5.4845 * $6,000

= $32,907

Present Value Interest Factor (PVIF) of 7th Year =

     =

= 0.6435

PVIF of taxes due on sale in year 7 will be $32,000 greater than if the property had not been depreciated

= $32,000 * 0.6435

= $20,592

(R is the discount rate and T is the time period in both the formula used above)

Therefore, the net benefit of depreciation = $32,907 - $20,592

= $12,315