Which of the following investments would have the highest future value at the end of $10$ years? Assume that the effective annual rate for all investments is the same and is greater than zero.

a$.$ Investment D pays $$2,500$ at the end of $10$ years $($just one payment$).$

b$.$ Investment C pays $$125$ at the beginning of every $6-$month period for the next $10$ years $($a total of $20$ payments$).$

c$.$ Investment A pays $$250$ at the beginning of every year for the next $10$ years $($a total of $10$ payments$).$

d$.$ Investment B pays $$125$ at the end of every $6-$month period for the next $10$ years $($a total of $20$ payments$).$

e$.$ Investment E pays $$250$ at the end of every year for the next $10$ years $($a total of $10$ payments$).$