$[$Ch $12]$ A portfolio of stocks earned a geometric average return of $6\mathrm{.}50\%$ and an arithmetic average return of $8\mathrm{.}25\%$ over a $10-$year period. The market value of the portfolio at the beginning of this period was $$10,000.$ At the end of the $10-$year period the portfolio's market value was:

$($to nearest $$0\mathrm{.}01)$