Javier and Alex plan on retiring $27$ years from today. At that time, they plan to have saved the same amount. Javier is

depositing $$15,000$ today at an annual interest rate of $5\mathrm{.}2$ percent. How will Alex's deposit amount vary from Javier's if

Alex also makes a deposit today, but earns an annual interest rate of $6\mathrm{.}2$ percent? Alex's deposit will need to be

than Javier's. $($Assume annual compounding on both accounts.$)$

Multiple Choice

$$4,118\mathrm{.}42$ more

$$4,333\mathrm{.}33$ less

$$3,417\mathrm{.}09$ more

$$4,274\mathrm{.}12$ less