Bingham Architects & Engineers bought office furniture and equipment at a cost of $$200,000.$ The total salvage value of the equipment is estimated to be $20\%$ of the initial cost at the end of a depreciable life of $8$ years. Determine the book value for this asset at the end of year $4$ using the Straight$-$Line Method. Choose your final answer from below while still showing your work.

A$.$ $$20,000$

B$.$ $$120,000$

C$.$ $$140,000$

D$.$ $$160,000$