Question

In: Finance

4. Your Company is considering a new project that will require $24,000 of new equipment at...

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

Solutions

Expert Solution

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



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