Sean is looking to buy a used car and is trying to plan for this big purchase and is wondering how much he needs today for this car if he uses a $4-$year term deposit which pays $1\mathrm{.}5\%$ semi$-$annually. He needs $$20,000$ in $4$ years' time and has saved $$1,000$ to date.

Select one:

a$.$ $$17,912$

b$.$ $$17,843$

c$.$ $$16,867$

d$.$ $$16,75$