Q$7$ You bought a $\backslash (\backslash$$ $1000\backslash )$ corporate bond five years ago. It is paying $\backslash (\backslash$$ $40\backslash )$ in interest at the end of every $6$ months, and it matures in $8$ more years. a$)$ Compute its coupon $($bond$)$ rate. b$)$ Compute its current value, assuming the market interest rate for such investments is $\backslash (10\backslash \%\backslash )$ per year, compounded semiannually.