Sanderson Corp. issued $\backslash (\backslash$$ $20,170,000\backslash )$ of bonds payable on $1$ June $\backslash (20\backslash$times $5\backslash ).$ The bonds are $8-$year bonds, and bear interest at $\backslash (5\mathrm{.}5\backslash \%\backslash )$ per annum, payable semi$-$annually each $31$ May and $30$ November. The bonds were issued to yield $\backslash (6\backslash \%\backslash )$ per annum.

Required:

$1.$ Calculate the proceeds from issuance and interest expense and interest paid for the first six months that the bond is outstanding. $($Round time value factor to $\backslash (\backslash$mathbf$\{5\}\backslash )$ decimal places. Round your final answers to the nearest whole dollar amount.$)$

$2.$ Calculate the proceeds from issuance if the yield rate is $\backslash (8\backslash \%\backslash )$ and the bond is issued on $1$ June $\backslash (20\backslash$times $7\backslash ),$ still with the original maturity date. Also calculate interest expense and interest paid for the first six months that the bond is outstanding. $($Round time value factor to $5$ decimal places. Round your final answers to the nearest whole dollar amount.$)$

$3.$ Calculate the proceeds from issuance if the yield rate is $\backslash (4\backslash \%\backslash )$ and the bond is issued on $30$ November $20$X$9,$ still with the original maturity date. Also calculate interest expense and interest paid for the first six months that the bond is outstanding. $($Round time value factor to $5$ decimal places. Round your final answers to the nearest whole dollar amount.$)$