$(20$ points$)$ Debt management. Suppose that you borrowed $$10,000$ at an interest rate of $12\%$ com$-$

pounded monthly over $48$ months. At the end of the first year $($after $12$ payments$),$ you want to

negotiate with the bank to pay off the remainder of the loan in $12$ equal quarterly payments. What

quarterly payment must be made if the nominal interest rate $(12\%)$ and compounding frequency

$($monthly$)$ remain the same?