$10.$ A $$1,000$ face value bond is currently quoted at $102\mathrm{.}5.$ The bond pays semi$-$annual a$.$b$.$C$.$payments of $$47\mathrm{.}50$ and matures in $15$ years. What is the yield to maturity $($YTM$)?4\mathrm{.}68$ percent$4\mathrm{.}75$ percent$9\mathrm{.}08$ percentd. $9\mathrm{.}19$ percentc. $9\mathrm{.}50$ percent