Present value of an annuity Consider the following case. $($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,Period $($years$)],[$$$58,000,6\%,4]]$

a$.$ Calculate the present 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? Explain why.