Suppose a firm purchased an asset for \(\$ 100,000\) and estimated, on the date of the purchase, its useful life as 10 years with no salvage value. The firm uses straight-line depreciation. After using the asset for 5 years, the firm changes its estimate of the remaining useful life to 4 years (a total of 9 years rather than the original 10 years). How much depreciation expense will the firm recognize in the sixth year of the asset's life?

a. \(\$ 12,500\)

b. \(\$ 10,000\)

c. \(\$ 11,111\)

d. \(\$ 31,111\)