$.$ Consider an $8$ year bond with a $9\%$ annual coupon rate with semiannual coupon payments that has a bond yield to maturity of $12\%.$ What is the current time t$=0$ price of the bond? Assume the bond has a face $($or par$)$ value of $$1,000.$ a$.$ $ $848\mathrm{.}41$ b$.$ $ $850\mathrm{.}97$ c$.$ $ $858\mathrm{.}65$ d$.$ $ $1,000\mathrm{.}00$ e$.$ $ $1,166\mathrm{.}04$ f$.$ $ $1,168\mathrm{.}51$ g$.$ $ $1,175\mathrm{.}91$