Economy Probability Uno Dos Tres

Boom $33\mathrm{.}33\%-2\%19\%4\%$

Good $33\mathrm{.}33\%4\%9\%4\%$

Poor $33\mathrm{.}33\%18\%-5\%4\%$

$1.$ Calculate the expected return and standard deviation for the three$-$asset portfolio assuming the portfolio consists of the following weights:

a$)1/3$ of Uno, $1/3$ of Dos, and $1/3$ Tres $($meaning equal amounts of each stock in the portfolio$).$

b$)50\%$ Uno, $40\%$ Dos and $10\%$ Tres

c$)0\%$ Uno, $0\%$ Dos, $100\%$ Tres

$2.$ In which portfolio would you choose to invest? Which portfolio would you consider the least desirable portfolio of the $3$ portfolios? Include a few sentences explaining your responses to both.