A few years ago, you paid $$10,000$ to buy a corporate bond with a face value $($maturity value$)$ of $$10,000$ that has a coupon rate of $4\%$ payable semi$-$annually $($pays $$200$ every $6$ months$).$

If the bond matures in $10$ years, how much is it worth today if the interest rate for similar bonds is $6\%$ compounded semi$-$annually?

A$)$ $$7002\mathrm{.}52$

B$)$ $$5,734\mathrm{.}90$

C$)$ $$8,468\mathrm{.}28$

D$)$ $$2,561\mathrm{.}26$

E$)$ $$8,512\mathrm{.}25$