NPU issues $30-$year bonds at face value with $5\%$ cupon $($assume annual payment$).5$ years later, market rates have moved up to $7\%.$

$1.$ What is the "current yield" at year $5?$

$2.$ What is the price of the bond at year $5?$

$3.$ If NPU wanted to issue new bonds at face value in year $5,$ what coupon rate would they be required to pay?