Gene Poole Co$.$ issued $$10,000$ of bonds on January $1,2021.$ The bonds pay interest semiannually. This is a partial bond amortization schedule for the bonds. $($Round your answer to nearest whole dollar amount.$)$

Payment Cash Effective

interest Decrease in

balance Outstanding

balance

$9,080$

$140040999,089$

$240040999,098$

$340040999,107$

$4400$

What is the book value of the bonds on December $31,2022?$

Group of answer choices

$$9,117.$

$$9,116.$

$$9,416.$

$$9,407$