d$1$Please help me solve this with detailed steps, i am confused with market price and present value. are they the same or dofferent?

$.$A$.$ What is the current price $($present value$)$ of a bond with a coupon rate of $4\%,$ a maturity date in $4$ years, a face value of $$5,000,$ and a yield to maturity of $5\mathrm{.}2\%.$

$1.$B$.$ For the bond described in $1.$A$.$ calculate the current yield and compare it with the yield to maturity.

How would the comparison of current yield and yield to maturity change if the maturity date was in $40$ years $($you don$$t have to redo the calculation, just describe w it would change$)$

$1.$C$.$ Is the bond described in $1.$A$.$ a discount or premium bond?

Plpbgduwgduighfuiw$1.$D$.$ Suppose the yield to maturity falls to $2\%($and everything else is the same as in $1$A$).$

What does this imply for the market price $($present value$)$ for the bond?

When the yield to maturity is $2\%$ is the bond a discount or premium bond?