Compounding frequency, time value, and effective annual rates For each of the cases in the following table, $E$ :

a$.$ Calculate the future value at the end of the specified deposit period.

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

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

a$.$ The future value of case $A$ at the end of year $6$ is $ $($Round to the nearest cent.$)$