A coupon bond has $6\%$ coupon rate $($paid semiannually$),$ $$1,000$ par value, matures in $6$ years, and has YTM of $10\%.$ The price of this bond is $\_\_\_\_\_\_\_\_\_\_.$

a$.$ $$822\mathrm{.}73$

b$.$ $$922\mathrm{.}78$

c$.$ $$924\mathrm{.}18$

d$.$ $$1,079\mathrm{.}85$

e$.$ None of the above options is correct.