Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the...


Consider the following information:<br>Rate of return<br>State of Economy<br>Probability<br>Stock A<br>Stock B<br>Recession<br>0.30<br>-40%<br>6%<br>Normal<br>0.50<br>18%<br>4%<br>Воom<br>0.20<br>142%<br>2%<br>[Note: take full decimal places in the middle steps and round your FINAL answer to 2<br>decimal places (i.e. S1.23 or 1.23%)]<br>(a) Calculate the expected return for the two Stocks A and B respectively. (in %)<br>(b) Calculate the standard deviation for the two Stocks A and B respectively. (in %)<br>(c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio<br>with an expected return of 16.92%, how much money will you invest in Stock A and<br>Stock B respectively?<br>(d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in<br>%)<br>(e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio,<br>what happen to the standard deviation for the portfolio? Explain. [within 100 words]<br>

Extracted text: Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. S1.23 or 1.23%)] (a) Calculate the expected return for the two Stocks A and B respectively. (in %) (b) Calculate the standard deviation for the two Stocks A and B respectively. (in %) (c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio with an expected return of 16.92%, how much money will you invest in Stock A and Stock B respectively? (d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in %) (e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio, what happen to the standard deviation for the portfolio? Explain. [within 100 words]

Jun 05, 2022
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