What is the value of a $20-$year $12\%$ coupon bond with a face value of $$1000.$ The required return on the bond is $14\%$ and the bond makes semiannual payments.

a$)$ $$862\mathrm{.}35$

b$)$ $$866\mathrm{.}68$

c$)$ $$925\mathrm{.}76$

d$)$ $$1000$