P$5-39$ Compounding frequency, time value, and effective annaal rates For each of the cases in the table below:

a$.$ Calculate the fature value at the end of the spocified drposit period.

b$.$ Determine the effective annaal rate, EAR.

c$.$ Compare the nominal annual rate, $r,$ to the effective annal rate, EAR. Whar relationship exists between compounding frequency and the sominal and eflective annual rates?

$\backslash$table$[[$Case$,$Amoues of inikial Alponit,Nominal aneual rats, $?,$Camponeling lisepener, $=($timethert$),$Depoes pribed $($Trem$)],[$A$,$$ $2,500,6\%,2,5],[$B$,50,000,12,6,3],[$C$,1,000,5,1,10],[$D$,20,000,16,4,6]]$