Scottie Adams Bird Supplies issued $9\%$ bonds, dated January $1,$ with a face amount of $$220,000$ on January $1,2024.$ The bonds mature in $2033(10$ years$).$ For bonds of similar risk and maturity the market yield is $8\%.$ Interest is paid semiannually on June $30$ and December $31.$ What is the price of the bonds on January $1,2024?$ Some relevant and irrelevant present value factors:

$*$Footnote asterisk PV of annuity due of $$1$: n $=20$; i $=4\%$ is $14\mathrm{.}13394$

$*$Footnote asterisk PV of ordinary annuity of $$1$: n $=20$; i $=4\%$ is $13\mathrm{.}59033$

$**$Footnote asterisk asteriskPV of $$1$: n $=20$; i $=4\%$ is $0\mathrm{.}45639$

Multiple Choice

$$369,494$

$$156,114$

$$234,950$

$$247,757$