A bond has $10$ years until maturity, a coupon rate of $9\%,$ and sells for $$1,000.$ Interest is paid annually.

a$.$ If the bond has a yield to maturing of $9\%$ one year from now, what will its price be at that time?

b$.$ What will be the rate of return on the bond?

c$.$ If the inflation rate during the year is $3\%,$ what is the real rate of return on the bond?