$3.$ Devine Divots issued a bond a few years ago that has a face value equal to $$1,000$ and pays investors $$30$ interest every six months. The bond has eight years remaining until maturity. If you require a $7$ percent rate of return to invest in this bond, what is the maximum price you should be willing to pay to purchase the bond?

a$.$ $$761\mathrm{.}15$

b$.$ $$939\mathrm{.}53$

c$.$ $$940\mathrm{.}29$

d$.$ $$965\mathrm{.}63$

e$.$ $$1,062\mathrm{.}81$

Please work this out step$-$by$-$step so I know how to do it for an exam