$.$ It is currently January $1,2022.$ The interest rates for $1,2,$ & $3$ year T$-$bonds are as follows:

T$-$Bond

Expiration Year

One$-$Year Rate

$1-$year

$2022$

$2\mathrm{.}8\%$

$2-$year

$2023$

$3\mathrm{.}2\%$

$3-$year

$2024$

$6\mathrm{.}0\%$

What is the yield to maturity of a $2-$year T$-$bond that matures at the end of $2023?$ What about a $3-$year T$-$bond that matures at the end of $2024?$

$2-$year Yield to Maturity

$3-$year Yield to Maturity