Four years ago, a firm issued $20-$year bonds at par with a coupon rate of $8\mathrm{.}5$ percent and semiannual payments. The face value of each bond is $$1,000$ and the yield to maturity is now $3\mathrm{.}5$ percent. What is the current value of each bond?

A$)$ $$1,608\mathrm{.}60$

B$)$ $$1,604\mathrm{.}71$

C$)$ $$1,346\mathrm{.}26$

D$)$ $$1,714\mathrm{.}86$

E$)$ $$1,185\mathrm{.}13$

A corporate bond has a coupon rate of $4\mathrm{.}5$ percent and pays interest semiannually. The face value is $$1,000,$ and the current market price is $$1,089\mathrm{.}34.$ The bond matures in $12$ years. What is the yield to maturity?

A$)1\mathrm{.}79\%$

B$)1\mathrm{.}86\%$

C$)3\mathrm{.}72\%$

D$)3\mathrm{.}58\%$

E$)2\mathrm{.}87\%$