Suppose you are given the yields on the following Treasury securities$.$ For simplicity, assume that there is no maturity risk premium.

Security Yield $($Percent$)1$year $4\mathrm{.}102$year $5\mathrm{.}403$year $6\mathrm{.}804$year $8\mathrm{.}10$

If you want to forecast the yield on a $1$year security in one year from now, you need to build the following equation:$\_\_\_\_\_.$

And the yield on $1$year security in one year would be $\_\_\_\_\_$If you want to forecast the yield on a $1$year security two years from now, you need to build the following equation: $\_\_\_\_\_.$

And the yield on $1$year security in two years would be $\_\_\_\_\_$If you want to forecast the yield on a $2$year security one year from now, you need to build the following equation: $\_\_\_\_\_.$

And the yield on $2$year security in one year would be$\_\_\_\_\_$ If you want to forecast the yield on a $3$year security one year from now, you need to build the following equation: $\_\_\_\_\_.$

And the yield on $3$year security in one year would be $\_\_\_\_\_$