A $$1000$ bond with a coupon rate of $6\mathrm{.}1\%$ paid semiannually has eight years to maturity and a yield to maturity of $7\mathrm{.}9\%.$ If interest rates rise and the yield to maturity increases to $8\mathrm{.}4\%,$ what will happen to the price of the bond?

Group of answer choices

The price of the bond will rise by $$16\mathrm{.}33.$

The price of the bond will fall by $$21\mathrm{.}91.$

The price of the bond will fall by $$26\mathrm{.}79$

The price of the bond will not change.