Zeigler Manufacturing Company purchased a robot for $720,000 at the beginning of
ID: 2419037 • Letter: Z
Question
Zeigler Manufacturing Company purchased a robot for $720,000 at the beginning of year 1. The robot has an estimated useful life of four years and an estimated residual value of $60,000. The robot, which should last 20,000 hours, was operated 6,000 hours in year 1; 8,000 hours in year 2; 4,000 hours in year 3; and 2,000 hours in year 4.
1. Compute the annual depreciation and carrying value for the robot for each year assuming the following depreciation methods:
a. Straight-line
b. Production
c. Double-declining-balance
2. If the robot is sold for $750,000 after year 2, what would be the amount of gain or loss under each method?
a. Straight-line: b. Production: c. Double-declining-balance:Explanation / Answer
1./
A./ STRAIGHT LINE METHOD
PURCHASE PRICE OF THE ROBOT = $720000
LESS RESIDUAL VALUE = ($60000)
DEPRICIABLE VALUE = $660000
USEFULL LIFE = 4YEARS
DEPRICIATION YEAR 1 ($660000 / 4) = $165000
CARRYING VALUE OF YEAR 1 ($720000 - $165000) = $555000
DEPRICIATION YEAR 2 ($660000 / 4) = $165000
CARRYING VALUE OF YEAR 2 ($555000 - $165000) = $390000
DEPRICIATION YEAR 3 ($660000 / 4) = $165000
CARRYING VALUE OF YEAR 3 ($390000 - $165000) = $225000
DEPRICIATION YEAR 4 ($660000 / 4) = $165000
CARRYING VALUE OF YEAR 4 ($225000 - $165000) = $60000
B./ PRODUCTION METHOD
PURCHASE PRICE OF THE ROBOT = $720000
LESS RESIDUAL VALUE = ($60000)
DEPRICIABLE VALUE = $660000
USEFUL HOUR = 20000
DEPRICIATION YEAR 1 ($660000 / 20000) * 6000 = $198000
CARRYING VALUE OF YEAR 1 ($720000 - $198000) = $522000
DEPRICIATION YEAR 2 ($660000 / 20000) * 8000 = $264000
CARRYING VALUE OF YEAR 2 ($522000 - $264000) = $258000
DEPRICIATION YEAR 3 ($660000 / 20000) * 4000 = $132000
CARRYING VALUE OF YEAR 3 ($258000 - $132000) = $126000
DEPRICIATION YEAR 4 ($660000 / 20000) * 2000 = $66000
CARRYING VALUE OF YEAR 3 ($126000 - $66000) = $60000
C./ DOUBLE DECLINING BALANCE
PURCHASE PRICE OF THE ROBOT = $720000
LESS RESIDUAL VALUE = ($60000)
DEPRICIABLE VALUE = $660000
USEFULL LIFE = 4YEARS
DEPRICIATION PER YEAR ($660000 / 4) = $165000
DEPRICIATION % ($165000 / $720000) * 100 =22.92%
DEPRICIATION % IN DOUBLE DECLINING BALANCE METHOD (22.92 % * 2) = 45.84%
DEPRICIATION YEAR 1 ($720000 * 45.84%) = $330048
CARRYING VALUE OF YEAR 1 ($720000 - $330048) = $389952
DEPRICIATION YEAR 2 ($389952 * 45.84%) = $178754
CARRYING VALUE OF YEAR 2 ($389952 - $178754) = $211198
DEPRICIATION YEAR 3 ($211198 * 45.84%) = $96813
CARRYING VALUE OF YEAR 3 ($211198 - $96813) = $114385
DEPRICIATION YEAR 4 ($114385 * 45.84%) = $52434
CARRYING VALUE OF YEAR 4 ($114385 - $52434) = $61951
2./
A./ STRAIGHT LINE METHOD
SELLING PRICE OF THE ROBOT AFTER YEAR 2 = $750000
LESS CARRYING VALUE OF ROBOT AFTER YEAR 2 = ($390000) [AS CALCULATED ABOVE]
PROFIT ON SALE = $360000
B./ PRODUCTION METHOD
SELLING PRICE OF THE ROBOT AFTER YEAR 2 = $750000
LESS CARRYING VALUE OF ROBOT AFTER YEAR 2 = ($258000) [AS CALCULATED ABOVE]
PROFIT ON SALE = $492000
C./ DOUBLE DECLINNING BALANCE METHOD
SELLING PRICE OF THE ROBOT AFTER YEAR 2 = $750000
LESS CARRYING VALUE OF ROBOT AFTER YEAR 2 = ($211198) [AS CALCULATED ABOVE]
PROFIT ON SALE = $538802
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