(Computing the standard deviation for a portfolio of two risky investments) Maya Granger recently graduated from Nichols State University and is anxious to begin investing her meager savings as a way of applying what she has leamed in business school. Specifically, she is evaluating an investment in a portfolio comprised of two firms' common stock. She has collected the following information about the common stock of Firm A and Firm B.
a. If Maya invests half her money in each of the two common stocks, what is the portfolio's expected rate of return and standard deviation in portfolio return?
b. Answer part a where the correlation between the two common stock investments is equal to zero.
c. Answer part a where the correlation between the two common stock investments is equal to +1 .
d. Answer part a where the correlation between the two common stock investments is equal to - 1 .
e. Using your responses to questions a through d, describe the relationship between the correlation and the risk and return of the portfolio.
(Hint. Use at least four decimal places in all calculations.)
a. If Maya decides to invest \( 50 \% \) of her money in Firm A's common stock rate of return in the portfolio is \( 17.50 \% \). (Round to two decimal places.)
The standard deviation in the portfolio is \( \square \% \) I (Round to two decimal pla
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
\begin{tabular}{lcc}
\hline & Expected Return & Standard Deviation \\
\hline Firm A's common stock & 0.18 & 0.17 \\
Firm B's common stock & 0.17 & 0.25 \\
Correlation coefficient & 0.50 & \\
\hline
\end{tabular}