Purple Eagles Inc. offers a $4\%$ coupon bond with semiannual payments and a yield to maturity of $6\%.$ The bonds mature in $8$ years. What is the market price of a $$1,000$ face value bond?

$$653\mathrm{.}28$

$$663\mathrm{.}88$

$$748\mathrm{.}29$

$$874\mathrm{.}39$

$$926\mathrm{.}18$