Question

A new barcode reading device has an installed cost basis of $24,120 and an estimated service life of ten years. It will have a zero salvage value at that time. The 200% declining balance method is used to depreciate this asset. a. What will the depreciation charge be in year ten? b. What is the book value at the end of year nine? c. What is the gain (or loss) on the disposal of the device if it is sold for $800 after nine years?

Answer 1

P = 24120

d = 2 / 10 = 0.2

a. Depreciation in any year m = P *(1-d)^(m-1) * d

Depreciation charge in year 10 = 24120 * (1-0.2)^(10 - 1) * 0.2

= 24120 * 0.8^9 * 0.2

= 647.47

b. BV at end of any year m = P *(1-d)^m

BV at end of year 9 = 24120 * (1-0.2)^9 = 24120 * 0.8 ^9 = 3237.33

c. Loss on disposal of machine = 3237.33 - 800 = 2437.33