$7.$ A bond has face value of $$1000,$ coupon rate of $8\%($coupons are paid semiannually$),$ a promised yield to maturity of $9\%,$ and it matures in $25$ years. A coupon will be paid today.

What is the current bond price?

$.$ $$869\mathrm{.}00$

b$.$ $$956\mathrm{.}45$

c$.$ $$1,000\mathrm{.}00$

d$.$ $$1\mathrm{.}023\mathrm{.}45$

e$.$ $$1,127\mathrm{.}54$

How is the asnwer $1000$