Luisa borrowed to buy a piano, paying $$131$ at the end of each month for $4$ years. The bank charges interest on the loan at $7\mathrm{.}83\%$ compounded monthly.

$($a$)$ What was the cash price of the piano?

$($b$)$ How much is the cost of financing?

$($a$)$ The cash price of the piano is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$

$($b$)$ The cost of financing is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$