consider a portfolio that maintains a 75% weight on stock A and a 25% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. Question content area bottom Part 1 a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2010 2011 2012 2013 2014 2015 Portfolio enter your response here% enter your response here% enter your response here% enter your response here% enter your response here% enter your response here% Part 2 b. Based on your results from part (a), compute the average return and volatility of the portfolio. The average return of the portfolio is enter your response here%. (Round to two decimal places.) Part 3 The volatility of the portfolio is enter your response here%. (Round to two decimal places.) Part 4 c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. The average annual return for stock A is enter your response here%. (Round to two decimal places.) Part 5 The average annual return for stock B is enter your response here%. (Round to two decimal places.) Part 6 The (weighted) average of the average returns of the two stocks is enter your response here%. (Round to two decimal places.) Part 7 The volatility of the portfolio is enter your response here%. (Round to two decimal places.) Part 8 d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. (Select from the drop-down menu.) The portfolio has a ▼ higher lower volatility than the average volatility of the two stocks because some of the idiosyncratic risk of the stocks in the portfolio is diversified away. Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2012 2013 2014 2015 Stock A -9%% 5% 3% -8% 3% 15% Stock B 29% 1% 20% -5% -11% 22%
consider a portfolio that maintains a 75% weight on stock A and a 25% weight on stock B. a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. Question content area bottom Part 1 a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below: (Round to two decimal places.) Year 2010 2011 2012 2013 2014 2015 Portfolio enter your response here% enter your response here% enter your response here% enter your response here% enter your response here% enter your response here% Part 2 b. Based on your results from part (a), compute the average return and volatility of the portfolio. The average return of the portfolio is enter your response here%. (Round to two decimal places.) Part 3 The volatility of the portfolio is enter your response here%. (Round to two decimal places.) Part 4 c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9. The average annual return for stock A is enter your response here%. (Round to two decimal places.) Part 5 The average annual return for stock B is enter your response here%. (Round to two decimal places.) Part 6 The (weighted) average of the average returns of the two stocks is enter your response here%. (Round to two decimal places.) Part 7 The volatility of the portfolio is enter your response here%. (Round to two decimal places.) Part 8 d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. (Select from the drop-down menu.) The portfolio has a ▼ higher lower volatility than the average volatility of the two stocks because some of the idiosyncratic risk of the stocks in the portfolio is diversified away. Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2012 2013 2014 2015 Stock A -9%% 5% 3% -8% 3% 15% Stock B 29% 1% 20% -5% -11% 22%
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question
Using the data in the following table,
consider a portfolio that maintains a
75% weight on stock A and a
25% weight on stock B.
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,a. What is the return each year of this portfolio?
b. Based on your results from part
(a),
compute the average return and volatility of the portfolio.c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9.
d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks.
Question content area bottom
Part 1
a. What is the return each year of this portfolio?
Enter the return of this portfolio for each year in the table below: (Round to two decimal places.)
Year
|
2010
|
2011
|
2012
|
2013
|
2014
|
2015
|
Portfolio
|
enter your response here%
|
enter your response here%
|
enter your response here%
|
enter your response here%
|
enter your response here%
|
enter your response here%
|
Part 2
b. Based on your results from part
(a),
compute the average return and volatility of the portfolio.The average return of the portfolio is
enter your response here%.
(Round to two decimal places.)Part 3
The volatility of the portfolio is
enter your response here%.
(Round to two decimal places.)Part 4
c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.9.
The average annual return for stock A is
enter your response here%.
(Round to two decimal places.)Part 5
The average annual return for stock B is
enter your response here%.
(Round to two decimal places.)Part 6
The (weighted) average of the average returns of the two stocks is
enter your response here%.
(Round to two decimal places.)Part 7
The volatility of the portfolio is
enter your response here%.
(Round to two decimal places.)Part 8
d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. (Select from the drop-down menu.)
The portfolio has a
volatility than the average volatility of the two stocks because some of the idiosyncratic risk of the stocks in the portfolio is diversified away.
▼
higher
lower
Click on the following icon
in order to copy its contents into a spreadsheet.)
Year
|
2010
|
2011
|
2012
|
2013
|
2014
|
2015
|
||||||
Stock A
|
-9%%
|
5%
|
3%
|
-8%
|
3%
|
15%
|
|
|||||
Stock B
|
29%
|
1%
|
20%
|
-5%
|
-11%
|
22%
|
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