Straight-line Depreciation rate"=\\frac15=0.2=20\\%"
Declining Balance Rate"=2\\times20\\%=40\\%"
Depreciation"=40\\%\\times500000=200,000"
Then, Calculate the depreciation of the asset for the second year of it's life.
Declining rate is still "40\\%"
"Book\\ value=Cost-Accumulated\\ Depreciation\\\\\n=500,000-200,000\\\\\n=300,000\\\\\nDepreciation=40\\%\\times300,000\\\\\n=120,000"
Third Year.
"Book\\ value=500,000-200,000-120,000\\\\\n=180,000\\\\\nDepreciation=40\\%\\times180,000\\\\\n=72,000"
Fourth Year.
"Book\\ value=500,000-200,000-120,000-72,000\\\\\n=108,000\\\\\nDepreciation=40\\%\\times108,000\\\\\n=43,200"
Fifth Year.
"Book\\ value=500,000-200,000-120,000-72,000-43,200\\\\\n=64,800\\\\\nDepreciation=40\\%\\times64,800\\\\\n=25,920"
The depreciation calculated above will decrease the Book value of the asset below it's estimated residual value("64,800-25920=38880<54994.35" ).Therefore, depreciation would only be allowed up to the point where the Book value=Salvage value. This depreciation expense of"9,805=(64,800-54,994.35) is\\ allowed." Same procedure will be replicated for 9years.
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