A $$5\mathrm{.}000$ bond with a coupon rate of $6\mathrm{.}3\%$ paid semiannally has two years $10$ maturty and a yleld to maturly of $7\mathrm{.}1\%.$ Interest rates rise and the yleld to maburly increases to $7\mathrm{.}4\%,$ what will happen io the price of the bond?

A$.$ The price of the bond will rise by $$27\mathrm{.}16$

B$.$ The price of Pee bond will fall by $527\mathrm{.}16.$

C$.$ The price of the bond will fall by $$3259.$

$$ D$.$ The price of the tond ellal not change.