a bond has $10$ years until maturity, a cupon rate of $8\%$ and sells for $1200$ dollar. Interest is paid annually. $($assume a fave value of $1000$ dollar$)$ a$)$If the bond has a yield to maturity of $10\%1$ 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?