Using the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B. a. What is the return each year of this portfolio? (2010-2015) 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.
Using the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B. a. What is the return each year of this portfolio? (2010-2015) 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.
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
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Using the data in the table, consider a portfolio that maintains a 35% weight on stock A and a 65% weight on stock B.
a. What is the return each year of this portfolio? (2010-2015)
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.
Transcribed Image Text:Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
Year
2010
2011
2012
2013
2014
2015
Stock A
- 2%
11%
8%
- 7%
2%
9%
Stock B
24%
23%
26%
- 1%
- 13%
17%
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