Holding all else equal $($i$.$e$.,$ investment strategy $1$ and the rates on the first two bonds in strategy $2),$ what rate $($in $\%)$ would you need to earn in the third year of investment strategy $2$ to be perfectly indifferent between the two strategies under the expectations hypothesis? Information from prior:

An investor is presented with the following two alternative strategies: $(1)$ Purchase a $3-$year bond with an interest rate of $8\mathrm{.}55\%$ and hold it until maturity, or $(2)$ purchase a $1-$year bond with an interest rate of $8\mathrm{.}00\%$ and when it matures, purchase another $1-$year bond with an expected rate of $8\mathrm{.}37\%$ and when that matures, purchase another $1-$year bond with an interest rate of $9\%.$