Bondi Investment is planning to invest in a $12-$year bond with a face value of $$1,000$ that pays a $5\mathrm{.}5$ percent coupon $($baying seme annually$).$ The current market rate for similar bonds is $4\mathrm{.}65\%$ percent. $($Round the final outcome to $2$ decimal places$)$What is the maximum price that an investor should pay for this bond?

Is the bond selling at a discount or at a premium and why?

If the company decides to issue a zero coupon bond and the market rate is $4\%,$ what will be the price of this bond? Show workings