Iceberg Frozen Foods, Inc., issued $20-$year, $$1,000$ bonds with an $8\%$ annual coupon rate. What is the selling price $($rounded to the nearest cent$)$ of these bonds if the current yield to maturity is $10\mathrm{.}10\%?$

A$.$ $$839\mathrm{.}94$

B$.$ $$1,058\mathrm{.}65$

C$.$ $$1,000\mathrm{.}00$

D$.$ $$822\mathrm{.}43$

please explain with a detailed equation.