In September $2000$ the Pullman Group arranged a bond issue for the estate of the late Marvin Gaye. The collateral on the bonds $($and source of cash flow for interest and principal payments$)$ consisted of future royalties from classic songs such as "What's Going On$,"$ and "I Heard It Though The Grapevine." The bond issue had a $$1,000$ face value and a coupon rate of $5\mathrm{.}2\%.$ If the bond matures in $26$ years, pays semiannual coupons, and the yield to maturity is $4\%,$ what will the bond sell for? Calculate your answer to two decimal points.

Group of answer choices

$$831\mathrm{.}00$

$$1,192\mathrm{.}87$

$$829\mathrm{.}98$

$$695\mathrm{.}53$

$$1,191\mathrm{.}79$