$1.$ A bond you are evaluating has a $10$ percent coupon rate $($compounded semiannually$),$ a $$1,000$ face value, and is $10$ years from maturity. $($LG $3-4)$

a$)$If the required rate of return on the bond is $6$ percent, what is its fair present value?

b$)$If the required rate of return on the bond is $8$ percent, what is its fair present value?

c$)$ What do your answers to parts $($a$)$ and $($b$)$ say about the relation between required rates of return and fair values of bonds?