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A company takes out a $12000$ loan, with the first year interest$-$free. The loan is paid back at a rate of $120$ per month and is subject to an annual interest rate of $10\%$ on the remaining balance.

At the end of the first year the loan is reduced by $1440$ to $10560$ and interest of $1056$ is added, so that the remaining debt is equal to $11616,$ or $11616\mathrm{.}00$ to the nearest penny.

Assuming that the pay back rate and the interest rate do not change, calculate the debt remaining after $2$ years and after $3$ years. Give your answers to the nearest penny: the $$ sign does not need to be included.

Debt remaining after $2$ years: $$

Debt remaining after $3$ years: $$

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