Question

In: Finance

Calculate (show how) the annual depreciation expense, accumulated depreciation, and after tax salvage value associated with an asset given the following information:

Calculate (show how) the annual depreciation expense, accumulated depreciation, and after tax salvage value associated with an asset given the following information:

Initial value of asset (including shipping and installation): $12 million

The company uses straight line depreciation to depreciate the asset to a book value of $2 million by the end of the life of the project which is ten years.

Expected salvage value (market price) of the asset upon termination of project: $3.2 million.

Marginal tax rate: 30%

Solutions

Expert Solution

Annual depreciation expense = (Cost-Expected salvage value)/Life
    = ($12million-2million)/10  
    = $10million/10    
    = $1 million    
           
Calculation of accumulated depreciation      
  (a) (b) (.c)=a+b    
Year Opening balance Annual depreciation Accumulated depreciation    
1 0 $1,000,000 $1,000,000    
2 1000000 $1,000,000 $2,000,000    
3 2000000 $1,000,000 $3,000,000    
4 3000000 $1,000,000 $4,000,000    
5 4000000 $1,000,000 $5,000,000    
6 5000000 $1,000,000 $6,000,000    
7 6000000 $1,000,000 $7,000,000    
8 7000000 $1,000,000 $8,000,000    
9 8000000 $1,000,000 $9,000,000    
10 9000000 $1,000,000 $10,000,000    
           
           
Tax on salvage value = (Salvage value-book value)*taxrate
           
  Book value = Initial cost-accumulated depreciation
    = $12,000,000-$10,000,000  
    = $   2,000,000.00    
           
Tax on salvage value = ($3,200,000-$2,000,000)*30%
    = $1,200,000*30%    
    = $       360,000.00    
           
After tax salvage value = Salvage value-tax on salvage value
    = $3,200,000-$360,000  
    = $   2,840,000.00    
           
     
     
           

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