In: Finance
4. Your Company is considering a new project that will require $24,000 of new equipment at the start of the project. The equipment will have a depreciable life of 7 years and will be depreciated to a book value of $1,600 using straight-line depreciation. The cost of capital is 10%, and the firm's tax rate is 34%. Estimate the present value of the tax benefits from depreciation.
$1,088
$5,297
$2,112
$3,200
Solution :
The present value of the tax benefits from depreciation = $ 5,297
The solution is Option 2 = $ 5,297
Please find the attached screenshot of the excel sheet containing the detailed calculation for the solution.
Note 1 :
The formula for calculation of the annual depreciation as per straight line method of depreciation is
Annual depreciation = ( Cost of the equipment - Book value at end of depreciable life ) / No. of years of depreciable life
As per the information given in the question we have
Cost of the equipment = $ 24,000 ; Book value at end of depreciable life = $ 1,600 ; No. of years of depreciable life = 7 years
Applying the above information in the formula we have
= ( $ 24,000 - $ 1,600 ) / 7
= $ 22,400 / 7 = $ 3,200
Thus the Annual depreciation as per the straight line method is = $ 3,200
Note 2 :
The Annual Depreciation Tax Benefit is calculated as follows
= Annual Depreciation * Tax Rate
= $ 3,200 * 0.34 = $ 1,088