Please show me the steps using a TVM solver and a timeline with proper formulas. I cannot figure out the calc part of the equations. You need to have $$40,000$ in a bank account $18$ years from today. Assume APR is $8\%$ and quarterly compounding. How much money must be in the account $5$ years from now assuming no other deposits or withdrawals?

Question $9$ options:

$$15,612\mathrm{.}75$

$$13,099\mathrm{.}79$

$$13,618\mathrm{.}44$

$$14,284\mathrm{.}04$

$$13,500\mathrm{.}00$

$$13,196\mathrm{.}25$