$(1$ point$)($Exercise $5\mathrm{.}21)$ A borrows $$19000$ for $8$ years and agrees to make semiannual payments of $$1600.$ The lender receives $12\%$

convertible semiannually on the investment each year for the first $4$ years and $10\%$ convertible semiannually for the second $4$ years.

The balance of each payment is invested in a sinking fund earning $8\%$ convertible semiannually. Find the amount by which the sinking

fund is short of repaying the loan at the end of the $8$ years.

ANSWER $=$$