Consider an efficient capital market. Assume there are three bonds at $t=0.$ The nominal value

of each of the bonds equals $1,000.$ The three bonds have no default risk. The following data

are known.

Calculate the $2-$years spot rate $(r_2)$ in $\%.$ Round your answer to $2$ decimal places and ignore the

$\%$ sign $($e$.$g$.$ enter $12\mathrm{.}345\%$ as $12\mathrm{.}35).$