A collection of financial assets and securities is referred to as a portfolio. Most individuals and institutions invest in a portfolio, making portfolio risk analysis an integral part of finance. Just like standalone assets and securities, portfolios are also exposed to risk. Portfolio risk refers to the possibility that an investment portfolio will not generate the expected rate of return. Analyzing portfolio risk and return involves the understanding of expected returns from a portfolio. Consider the following case: Lorenzo is an amateur investor who holds a small portfolio consisting of only four stocks. The stock holdings in his portfolio are shown in the following table: Stock Percentage of Portfolio Expected Return Standard Deviation Artemis Inc. 20% 8.00% 28.00% Babish & Co. 30% 14.00% 32.00% Cornell Industries 35% 12.00% 35.00% Danforth Motors 15% 3.00% 37.00%   The expected return on Lorenzo’s stock portfolio is    .   Suppose each stock in the preceding portfolio has a correlation coefficient of 0.4 (ρ = 0.4) with each of the other stocks. The market’s average standard deviation is around 20%, and the weighted average of the risk of the individual securities in the partially diversified portfolio of four stocks is 33%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.3 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio’s standard deviation (σpσp)? It would gradually settle at about 20%.   It would decrease gradually, settling at about 0%.   It would stay constant at 33%.   It would gradually settle at about 50%.

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
icon
Related questions
Question
A collection of financial assets and securities is referred to as a portfolio. Most individuals and institutions invest in a portfolio, making portfolio risk analysis an integral part of finance. Just like standalone assets and securities, portfolios are also exposed to risk. Portfolio risk refers to the possibility that an investment portfolio will not generate the expected rate of return.
Analyzing portfolio risk and return involves the understanding of expected returns from a portfolio.
Consider the following case:
Lorenzo is an amateur investor who holds a small portfolio consisting of only four stocks. The stock holdings in his portfolio are shown in the following table:
Stock
Percentage of Portfolio
Expected Return
Standard Deviation
Artemis Inc. 20% 8.00% 28.00%
Babish & Co. 30% 14.00% 32.00%
Cornell Industries 35% 12.00% 35.00%
Danforth Motors 15% 3.00% 37.00%
 
The expected return on Lorenzo’s stock portfolio is    .
 
Suppose each stock in the preceding portfolio has a correlation coefficient of 0.4 (ρ = 0.4) with each of the other stocks. The market’s average standard deviation is around 20%, and the weighted average of the risk of the individual securities in the partially diversified portfolio of four stocks is 33%.
If 40 additional, randomly selected stocks with a correlation coefficient of 0.3 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio’s standard deviation (σpσp)?
It would gradually settle at about 20%.
 
It would decrease gradually, settling at about 0%.
 
It would stay constant at 33%.
 
It would gradually settle at about 50%. 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Risk and Return
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education