Question $10$: A company wishes to issue a $5$ year fixed$-$coupon bond with a face value of $$1,000$ and a coupon rate of $9\%$ pa$,$ paid semi$-$annually. If the bond offers a yield of $7\%$ pa compounding semi$-$annually, what will be the bond's price? $($a$)$ $$869\mathrm{.}92($b$)$ $$871\mathrm{.}65($c$)$ $$953\mathrm{.}46($d$)$ $$1083\mathrm{.}17($e$)$ $$1140\mathrm{.}47$