Question #$2$: YTM Notation $[8$ Points; $2$ Points each$]$

Example: Write out the YTM of a $25$ year bond purchased today $={?}_o{i}_{25}$

$($a$)$ Write out the YTM of a $11$ year bond purchased today.

$($b$)$ Write out the YTM of a $12$ year bond purchased $3$ years from today.

$($c$)$ Write out the YTM of a $7$ year bond purchased $2$ years from today.

$($d$)$ Write out the YTM of a $1$ year bond purchased $23$ years from today.

Question #$3$: Expectation Theory $[16$ Points$]$

The following table shows the current and expected one$-$year interest rates in following four years.

$\backslash$table$[{[}_0{i}_1,{?}_1{i}_2^e,{?}_2{i}_3^e,{?}_3{i}_4^e,{?}_{4i_5^e}$