The yield to maturity for $25-$year bonds is as follows for four different bond rating categories. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

Aaa $9\mathrm{.}20\%$

Aa$19\mathrm{.}40\%$

Aa$210\mathrm{.}00\%$

Aa$310\mathrm{.}40\%$

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$2.$ Determine the new price of the bonds, assuming a $25-$year maturity and semiannual interest payments.

Note: Do not round intermediate calculations and round your answer to $2$ decimal places.

Price of the bonds: $?$