Katherine deposits $$200$ today and at the end of the next $11$ yearly intervals $($i$.$e$.12$ deposits in all$)$ into a bank account paying an interest rate of $5\%$ per annum compounded annually. If no withdrawals are made, $12$ years from today the account will hold

a$.$

$$2,983\mathrm{.}43$

b$.$

$$3,183\mathrm{.}43$

c$.$

$$3,342\mathrm{.}60$

d$.$

$$1,861\mathrm{.}28$