Momin plans to buy a house on cash instead of paying mortgage. He plans to set aside $$14400$ at the end of each year for $15$ years. He puts his savings in a Tax Free Savings Account $($TFSA$)$ and invests them in a high risk mutual fund, which has traditionally earned $12\mathrm{.}2\%$ annually. Money decreases in value by $2\mathrm{.}5\%$ per annum as well. How much will Momin have saved after $15$ years? $(10$ points$)$