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Your Portfolio Is Invested 25 Percent Each in Stocks a and C

Question 11

Multiple Choice

Your portfolio is invested 25 percent each in Stocks A and C, and 50 percent in Stock B. What is the standard deviation of your portfolio given the following information?  State of  Probability of  Rate of Return  Economy  State of Economy  if State Occurs  Stock A  Stock B  Stock C  Boom .07.28.14.11 Good .55.19.12.05 Poor .36.21.07.06 Bust .02.6503.02\begin{array} { l c c c r } \text { State of } &\text { Probability of }& { \text { Rate of Return } } \\ \text { Economy } & \text { State of Economy } & { \text { if State Occurs } } \\& & \begin{array}{ll} \text { Stock A } & \text { Stock B } & \text { Stock C } \end{array} \\\text { Boom } &.07 &\begin{array}{ccc} .28\quad\quad & .14 \quad\quad& .11\quad\quad \end{array} \\\text { Good } & .55 &\begin{array}{ccc} .19\quad\quad & .12\quad\quad & .05 \quad\quad\end{array} \\\text { Poor } & .36& \begin{array}{ccc} -.21\quad\quad & .07 \quad\quad& .06\quad\quad \end{array}\\\text { Bust } & .02 & \begin{array}{ccc} -.65\quad\quad & 03 \quad\quad& -.02 \quad \end{array}\\\end{array}


A) 6.52 percent
B) 9.64 percent
C) 12.72 percent
D) 10.89 percent
E) 7.39 percent

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