$1.$Consider the following information

State of

Economy Probability of

State of Economy Rate of Return

if State Occurs

Stock S Stock T

Boom $\mathrm{.}2022\%18\%$

Normal $\mathrm{.}8015\%14\%$

i$)$ What is the expected return for stock S$?$ For Stock T$?$

ii$)$ What is the standard deviation for Stock S$?$ For stock T$?$

iii$)$ What is the coefficient of variation for Stock S$?$ For stock T$?$

iv$)$ If you invest $40\%$ of your money in stock S and $60\%$ in stock T$,$ what is the expected return of the portfolio

v$)$ Find the return of your portfolio when a$)$ economy is booming and b$)$ economy is normal.

vi$)$ What is the standard deviation for your portfolio?