A bond with a $9-$year duration is worth $$1,075,$ and its yield to maturity is $7\mathrm{.}5\%.$ If the yield to maturity falls to $7\mathrm{.}39\%,$ you would predict that the new $($select the closest answer.$)$

Multiple Choice

$$1,084\mathrm{.}89$

$$1,075\mathrm{.}00$

$$1,076\mathrm{.}18$

$$1,073\mathrm{.}82$