There are three risky assets described in the table below:

There are three investors $x,Y,$ and $Z$ whose preferences are represented by the utility function $U=E(r)-$

$0\mathrm{.}5A{}^2,$ where $A$ is the risk$-$aversion coefficient. Among the three investors, Investor $x$ is the least risk$-$averse,

while investor $Z$ is the most risk$-$averse. The risk$-$free rate is $2\%.$ If they intend to form a complete portfolio of

the risk$-$free asset and one of the three risky assets, which risky portfolio will be picked by investors $x,Y,$ and

$Z$ respectively?

a$.$ X:Asset $1$; Y: Asset $3$; Z: Asset $2$

b$.x$ : Asset $3$; Y: Asset $2$; Z: Ass$$t $1$

C$.$ There is no sufficient information to tell

d$.$ X:Asset $1$; Y: Asset $1$; Z: Asset $1$

e$.x$ : Asset $3$; Y: Asset $3$; Z: Asset $3$