Describe why a buyer would select a $30-$year fixed$-$rate mortgage instead of a $15-$year fixed$-$rate mortgage if interest rates are $\frac{1}{4}\%$ to $\frac{1}{2}\%$ lower on a $15-$year mortgage.

Choose the correct answer below.

A$.$ The payment for the $30-$year mortgage is less than the payment for the $15-$year mortgage on the same home.

B$.$ The principle paid for the $30-$year mortgage is less than the payment for the $15-$year mortgage on the same home.

C$.$ The total interest paid for the $30-$year mortgage is less than the payment for the $15-$year mortgage on the same home.

D$.$ There is no logical reason why a buyer would select a mortgage with a higher interest rate.