The yield to maturity for $20-$year bonds is as follows for four different bond rating categories.

AAA $10\mathrm{.}00\%$ A $11\mathrm{.}00\%$

AA $10\mathrm{.}20$ BBB $11\mathrm{.}20$

The bonds of Falter Corporation were rated as AAA and issued at par a few weeks ago. The bonds have just been downgraded to AA$.$ Determine the new price of the bonds, assuming a $20-$year maturity and semiannual interest payments. Assume the par value of the bonds is $$1,000.($Use a Financial calculator to arrive at the answers. Round the final answer to $2$ decimal places.$)$

Price of the bonds