Question

In: Finance

1. A five- year asset with a depreciable base of 2,500,000 will be depreciated using 5-years...

1. A five- year asset with a depreciable base of 2,500,000 will be depreciated using 5-years MACRS. Construct a table showing annual depreciation, accumulated depreciation and asset’s book value for each year the asset is depreciated.
2. Use your answer to question 1 to answer this quesrion. Find the tax savings from depreciation in year 1,2 and 3. Why is there tax saving from deprecitation.
3. Assume that the asset in question 1 is sold for $500,000 in year five. Find the net salvage value.

please use .21 tax rate if needed.
please show formula and work

Solutions

Expert Solution

Annual Depreciation =(Depreciable Base of asset)*( MACRS Depreciation Rate)
Asset Depreciable base $2,500,000
A B=A*2500000 C D=2500000-C
Year 5-Year MACRS Annual Accumulated End of year
Depreciation Rate Depreciation Depreciation Book Value
1 20% $500,000 $500,000 $2,000,000
2 32% $800,000 $1,300,000 $1,200,000
3 19.20% $480,000 $1,780,000 $720,000
4 11.52% $288,000 $2,068,000 $432,000
5 11.52% $288,000 $2,356,000 $144,000
6 5.76% $144,000 $2,500,000 $0
Total 100% $2,500,000
2 Tax Saving From Depreciation
Tax rate =21%=0.21
Depreciation Tax shield =( Annual Depreciation)*(Tax Rate)
B E=B*0.21
Year Annual Depreciation Depreciation Tax Shield
1 $500,000 $105,000
2 $800,000 $168,000
3 $480,000 $100,800
Depreciation is not a cash expense
It does not affect the cash flow
But,it is allowed as expense in the income statement
Hence it reduces income and there is lower tax on lower income
Example:
Revenue $100,000
Expense $75,000
Profit(Before depreciation) $25,000
Tax (21%) $5,250
But ,the depreciation expense will reduce tax
Depreciation expense $15,000
Profit(After depreciation) $10,000 (100000-75000-15000)
Tax (21%) $2,100
Saving in Tax due to depreciation $3,150 (5250-2100)
21% of depreciation=21%*15000 $3,150
3 End of Year 5 Book Value $144,000
Sales price $500,000
Gain on Sale $356,000
Tax Saving on sale =356000*21% $74,760
Net Salvage Value=500000+74760 $574,760

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