On October $1,2022,$ Foot Locker places a new asset into service. The cost of the asset is $$22,000$ with an estimated $5-$year life and $$6,000$ salvage value at the end of its useful life. What is the book value of the asset on the December $31,2023,$ Balance Sheet, assuming Foot Locker uses the double$-$declining balance method of deprecation?

Select one:

a$.$ $$19,600$

b$.$ $$14,410$

c$.$ $$7,920$

d$.$ $$11,880$

e$.$ $$13,750$