You have a two stock portfolio with $$3,000$ in stock A and $$7,000$ in stock B$.$ you believe the following probability distribution exists for your stocks.

What is portfolio CV$?$

Note: Expected rate of return, risk, and CV of stock B are $16,7,$ and $0\mathrm{.}44,$ respectively.

State of the Economy

Probability of State Occurring

Market Rate of Return of Stock A

Market Rate of Return of Stock B

Portfolio Return

Boom

$0\mathrm{.}3$

$-20\%$

$25\%$

Normal

$0\mathrm{.}5$

$10\%$

$15\%$

Recession

$0\mathrm{.}2$

$30\%$

$5\%$

$0\mathrm{.}068$

$0\mathrm{.}032$

$0\mathrm{.}021$

$0\mathrm{.}057$