Investment advisors recommend risk reduction through international diversification. International investing allows you to take

advantage of the potential for growth in foreign economies, particularly in emerging markets. Janice Wong is considering investment in

either Europe or Asia. She has studied these markets and believes that both markets will be influenced by the U$.$S$.$ economy, which

has a $24\%$ chance for being good, a $42\%$ chance for being fair, and a $34\%$ chance for being poor. Probability distributions of the returns

for these markets are given in the accompanying table.

State of the U$.$S$.$

Returns in Returns in

Economy

Good

Fair

Poor

Asia

$29\%$

$13\%$

$-16\%$

a$.$ Find the expected value and the standard deviation of returns in Europe and Asia. $($Round intermediate calculations to at least $4$

decimal places and final answers to $2$ decimal places.$)$

b$.$ What will Janice pick as an investment if she is risk neutral?

Investment in Asia

Investment in Europe