A portfolio analyst has been asked to allocate investment funds among three different stocks. The relevant data for the stocks is shown in the following table. If the goal is to maximize return while maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more than 20%), find the proper allocation of the funds to each stock. Return Risk (Standard Deviation Stock (R) A 20% to S) 25% Pair of Stocks Joint Risk (Covariance) A to B 0.05 B 10% 12% A to C 0.075 C 15% 10% B to C -0.05 What proportion of the portfolio should be allocated to stock]B?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 6P
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A portfolio analyst has been asked to allocate investment funds among three different stocks. The
relevant data for the stocks is shown in the following table. If the goal is to maximize return while
maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more
than 20%), find the proper allocation of the funds to each stock.
Return
Risk (Standard Deviation
Stock
(R)
A
20%
to S)
25%
Pair of Stocks
Joint Risk
(Covariance)
A to B
0.05
B
10%
12%
A to C
0.075
C
15%
10%
B to C
-0.05
ces
What proportion of the portfolio should be allocated to stock]B?
Transcribed Image Text:A portfolio analyst has been asked to allocate investment funds among three different stocks. The relevant data for the stocks is shown in the following table. If the goal is to maximize return while maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more than 20%), find the proper allocation of the funds to each stock. Return Risk (Standard Deviation Stock (R) A 20% to S) 25% Pair of Stocks Joint Risk (Covariance) A to B 0.05 B 10% 12% A to C 0.075 C 15% 10% B to C -0.05 ces What proportion of the portfolio should be allocated to stock]B?
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