Four years after the issue of a $$10,000,8\mathrm{.}1\%$ coupon, $20-$year bond, the rate of return required in the bond market on long$-$term bonds was $6\mathrm{.}4\%$ compounded semiannually.b$.$ What capital gain or loss $($expressed in dollars$)$ would the original owner have realized by selling the bond? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$