Barry would like to borrow $$15,000$ to start a Tie$-$Dye Shirt business. The loans officer at his

bank expects the loan to be paid back with interest after four years and has offered Barry three

choices:

Option $1$: A simple interest loan at $8\mathrm{.}25\%.$ Total amount due at end of $4$ years.

Option $2$: A loan with compound interest at a rate of $7\mathrm{.}4\%$ that is compounded monthly.

Total amount due at end of $4$ years.

Option $3$: A loan where Barry would make payments of $$350$ at the end of every month

for the four years.

Calculate the cost of each loan and amount of interest that Barry would pay in each case.