Hannah deposited $$13,000$ into a fund at the beginning of every quarter for $11$ years. He then stopped making deposits into the fund and allowed the investment to grow for $5$ more years. The fund was growing at $5\mathrm{.}06\%$ compounded monthly. question one : What was the accumulated value of the fund at the end of year $11?$ question two: What was the accumulated value of the fund at the end of year $16?$ question three: What is the total amount of interest earned over the $16-$year period? $($round all answers to nearest sent$)$