Suppose the market offers the following Treasury securities:

$1$year $4\mathrm{.}50$

$2$year $6\mathrm{.}00$

$3$year $7\mathrm{.}10$

$4$year $8\mathrm{.}50$

$5$year $9\mathrm{.}70$

$6$year $11\mathrm{.}40$

Make the necessary calculations and complete the following table using the data on the securities yields and the pure expectation theory.

Investment Yield

$1$year Treasury security, $1$ year from now $=$

$2$year Treasury security, $2$ years from now $=$

$3$year Treasury security, $1$ year from now $=$

$4$year Treasury security, $2$ years from now $=$