Which of the following statements is CORRECT?

Question $8$ options:

A$)$

An investment that has a nominal rate of $6\%$ with semiannual payments will have an effective rate that is smaller than $6\%.$

B$)$

The present value of a $3-$year, $$150$ annuity due will exceed the present value of a $3-$year, $$150$ ordinary annuity.

C$)$

If a loan has a nominal annual rate of $8\%,$ then the effective rate can never be greater than $8\%.$

D$)$

If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different.

E$)$

The proportion of the payment that goes toward interest on a fully amortized loan increases over time.