A $1000$ par value Bond, carrying a coupon rate of $12$ percent is maturing in $6$ years from now. Find the current price of the bond in the market if the required rate of return of the investor is:

$($a$)($i$)8$ percent, $($ii$)12$ percent, and $($iii$)16$ percent.

$($b$)$ Perform the calculation for the bond price for $8\%,12\%$ and $16\%$ required rate of return if the bond pays interest on a quarterly basis.