$3.$ A $$1000$ par zero$-$coupon bond sells for $$489$ and matures in $8$ years semiannually.

a$.$ What is the bond's current yield?

b$.$ What is the bond's yield to maturity?

c$.$ Assuming you buy the bond at its current price and hold it until maturity, what is your holding

period return? What is it's annualized return?

d$.$ Compare your answers in parts $($a$),($b$),$ and $($c$).$ Why are they different?