A $$1,000$ bond has a coupoN rate of $4$ percent and matures after ten years.

a$)$ What is the current price of the bond if the comparable rate of interest is $4$ percent?

b$)$ What is the current price of the bond if the comparable rate of interest is $6$ percent?

c$)$ What are the current yields given the prices determined in parts $(a)$ and $($b$)?$

d$)$ Why are the prices in $($a$)$ and $($b$)$ and the current yields in $($c$)$ ditterent?