$$

$$ Exercise $3\mathrm{.}3$

Consider two scenarios, ${}_1$ with probability $\frac{1}{4}$ and ${}_2$ with probability $\frac{1}{4}$ Suppose that the return on some security is $K_1^{{}_1}=-2\%$ in the firs scenario and $K_1^{{}_2}=8\%$ in the second scenario. If the return on another security is $K_2^{{}_1}=-4\%$ in the first scenario, find the return $K_2^{{}_2}$ in the other scenario such that the two securities have the same risk.