Future value of an annuity Using the values below, answer the questions that follow. $($Click on the icon here $$ in order to copy the contents of the data table below into a spreadsheet.$)$

$\backslash$table$[[$Amount of annuity,Interest rate,Deposit period $($years$)],[$$$5,000,8\%,8]]$

a$.$ Calculate the future value of the annuity, assuming that it is

$(1)$ An ordinary annuity.

$(2)$ An annuity due.

b$.$ Compare your findings in parts a$(1)$ and a$(2).$ All else being identical, which type of annuity $$ ordinary or annuity due$-$is preferable as an investment? Explain why.