Using the formulas or the TVM Solver, find the amount of time it would take you to pay off the $15$ year loan if you added an extra $1/12$ of a payment to each monthly payment.

a$.$ What is the amount of the new payment?

$$3,299\mathrm{.}27$

b$.$ How much time would it take to pay off the loan?

$13\mathrm{.}29$ months

c$.$ Using the number of payments from part $b,$ find the total amount you would repay if you made the extra $\frac{1}{12}$ of a payment each month.

d$.$ Comparing the answer from part c to the total principal & interest from question $4,$ how much money is saved overall by making the extra payment?