a$.$ Assuming that the expectations hypothesis is valid, compute the expected price of the four$-$year zero coupon bond below at the start of $($I$)$ the first year; $($II$)$ the second year; $($III$)$ the third year; $($IV$)$ the fourth year. $($Do not round Intermedlate calculatlons. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[\backslash$table$[[$Beginning$],[$of Year$]],$Price of Bond,Expected Price$],[1,$$$,940\mathrm{.}90,],[2,$$$,923\mathrm{.}47,],[3,$$$,872\mathrm{.}62,],[4,$$$,769\mathrm{.}66,]]$

b$.$ What is the rate of return of the zero bond in years $1,2,3,$ and $4?$ Conclude that the expected return equals the forward rate for each year. $($Do not round Intermedlate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[\backslash$table$[[$Beginning$],[$of Year$]],\backslash$table$[[$Expected Rate of$],[$Return$]],],[1,,\%$