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 the field of finance. Just like stand-alone assets and securities, portfolios are also exposed to risk. Portfolio risk refers to the possibility that an investment portfolio will not generate the investor’s expected rate of return. Analyzing portfolio risk and return involves the understanding of expected returns from a portfolio. Consider the following case: Andre 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% 6.00% 30.00% Babish & Co. 30% 14.00% 34.00% Cornell Industries 35% 13.00% 37.00% Danforth Motors 15% 5.00% 39.00%

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter17: The Management Of Cash And Marketable Securities
Section: Chapter Questions
Problem 11QTD
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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 the field of finance. Just like stand-alone assets and securities, portfolios are also exposed to risk. Portfolio risk refers to the possibility that an investment portfolio will not generate the investor’s expected rate of return.
Analyzing portfolio risk and return involves the understanding of expected returns from a portfolio.
Consider the following case:
Andre 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% 6.00% 30.00%
Babish & Co. 30% 14.00% 34.00%
Cornell Industries 35% 13.00% 37.00%
Danforth Motors 15% 5.00% 39.00%
 
What is the expected return on Andre’s stock portfolio?
14.45%
 
10.70%
 
16.05%
 
8.03%
 
 
Suppose each stock in Andre’s portfolio has a correlation coefficient of 0.4 (ρ = 0.4) with each of the other stocks. If the weighted average of the risk of the individual securities (as measured by their standard deviations) included in the partially diversified four-stock portfolio is 35%, the portfolio’s standard deviation (σpσp) most likely is (equal to, more than, less than) 35%.
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