Akira Inc. purchased equipment on June $30$ of Year $1$ at a cost of $$200,000.$ The company estimated a $$4,000$ salvage value and that the equipment would have a useful life of $5$ years. The company elected to use the double$-$declining$-$balance method until January $1$ of Year $4,$ at which time the company changed to the straight$-$line method of depreciation for the equipment.

Note: the answer is not $19,600$

Compute depreciation expense for Year $4.$