An investor buys a $5-$year real return bond $($par value $\backslash (=\backslash$$ $1,000\backslash )),$ which offers a coupon rate $\backslash (=5\backslash \%\backslash ).$ Inflation rates for years $\backslash (1-5\backslash )($inclusive$)$ are: $\backslash (3\backslash \%,6\backslash \%,5\backslash \%,4\backslash \%\backslash )$ and $\backslash (2\backslash \%\backslash ),$ respectively. Calculate the nominal and real rates of return $($I suggest using a chart as we did in class$).$