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% Вoom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. $1.23 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]

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 26P
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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]
Transcribed Image 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]
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