Which of the following statements is NOT correct?Select one

a$.$A $15-$year mortgage will have a larger monthly payment that an otherwise similar $30-$year mortgage

b$.$ An annuity due will have a higher present value that a similar ordinary annuity

c$.$ If an investment earns $10\%$ interest compounded annually, its effective rate will also be $10\%$

d$.$ A bond with an a$)$unnual coupon will have a higher value than a similar bond with a semi$-$annual coupon

e$.$ None of the above; they are all true