$2.$ One of General Electric's bond issues has an annual coupon rate of $3\mathrm{.}6\%,$ a face value of $$1,000$ and a required return of $5\%.$

$($a$)$ What is the value of the bond if the bond matures in $30$ years?

$($b$)$ What is the value of the same bond $20$ years later, when it has $10$ years to maturity left, if interest rates haven't changed?