A corporate bond with a $5\mathrm{.}75$ percent coupon has $20$ years left to maturity. It has had a credit rating of BB and a yield to maturity of $6\mathrm{.}25$ percent. The firm has recently gotten more financially stable and the rating agency is upgrading the bonds to BBB$.$ The new appropriate discount rate will be $6\mathrm{.}00$ percent. What will be the change in the bond's price in dollars? $($Assume interest payments are paid semiannually and a par value of $$1,000.)$Group of answer choicesdecrease $$23\mathrm{.}72$increase $$23\mathrm{.}72$decrease $$27\mathrm{.}74$increase $$27\mathrm{.}74$None of these are correct.