For each of the following cases, indicate $($a$)$ what interest rate columns and $($b$)$ what number of periods you would refer to in looking up the present value factor.

$(1)$ In Table $3($present value of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Discounts$],[$per Year$]]],[$Case A$,8\%,8,$Annually$],[$Case B$,8\%,13,$Semiannually$],[$Case C$,12\%,7,$Semiannually$]]$

$\backslash$table$[[,,],[$Case A$,\%,$periods$],[$Case B$,\%,$periods$],[$Case C$,\%,$periods$]]$

$(2)$ In Table $4($present value of an annuity of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Number of$],[$Payments Involved$]],\backslash$table$[[$Frequency of$],[$Payments$]]],[$Case A$,11\%,19,19,$Annually$],[$Case B$,10\%,6,6,$Annually$],[$Case C$,10\%,7,14,$Semiannually$]]$

$($a$)$

$($b$)$

Case A $\%$ periods